compact_sets_sandbox/compact_sets_extended_simplified.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 117,
   "id": "806f6f69-1e0b-4d34-aac9-695c8531cdb1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from itertools import chain, combinations, permutations, product\n",
    "from math import prod, log\n",
    "from copy import deepcopy\n",
    "import networkx as nx\n",
    "from fractions import Fraction\n",
    "import json\n",
    "from operator import add\n",
    "\n",
    "def hs_array_to_fr(hs_array):\n",
    "    return prod([pow(dims[d], hs_array[d]) for d in range(len(dims))])\n",
    "\n",
    "def hs_array_to_cents(hs_array):\n",
    "    return (1200 * log(hs_array_to_fr(hs_array), 2))\n",
    "\n",
    "def expand_pitch(hs_array):\n",
    "    expanded_pitch = list(hs_array)\n",
    "    frequency_ratio = hs_array_to_fr(hs_array)\n",
    "    if frequency_ratio < 1:\n",
    "        while frequency_ratio < 1:\n",
    "            frequency_ratio *= 2\n",
    "            expanded_pitch[0] += 1\n",
    "    elif frequency_ratio >= 2:\n",
    "        while frequency_ratio >= 2:\n",
    "            frequency_ratio *= 1/2\n",
    "            expanded_pitch[0] += -1\n",
    "    return tuple(expanded_pitch)\n",
    "\n",
    "def expand_chord(chord):\n",
    "    return tuple(expand_pitch(p) for p in chord)\n",
    "\n",
    "def collapse_pitch(hs_array):\n",
    "    collapsed_pitch = list(hs_array)\n",
    "    collapsed_pitch[0] = 0\n",
    "    return tuple(collapsed_pitch)\n",
    "\n",
    "def collapse_chord(chord):\n",
    "    return tuple(collapse_pitch(p) for p in chord)\n",
    "\n",
    "def transpose_pitch(pitch, trans):\n",
    "    return tuple(map(add, pitch, trans))\n",
    "\n",
    "def transpose_chord(chord, trans):\n",
    "    return tuple(transpose_pitch(p, trans) for p in chord)\n",
    "\n",
    "def cent_difference(hs_array1, hs_array2):\n",
    "    return hs_array_to_cents(hs_array2) - hs_array_to_cents(hs_array1)\n",
    "\n",
    "def pitch_difference(hs_array1, hs_array2):\n",
    "    return transpose_pitch(hs_array1, [p * -1 for p in hs_array2])\n",
    "\n",
    "# this is modified for different chord sizes like original version\n",
    "def grow_chords(chord, root, min_chord_size, max_chord_size):\n",
    "    #this could use the tranpose_pitch function\n",
    "    branches = [branch for alt in [-1, 1] for d in range(1, len(root)) if (branch:=(*(r:=root)[:d], r[d] + alt, *r[(d + 1):])) not in chord]\n",
    "    subsets = chain.from_iterable(combinations(branches, r) for r in range(1, max_chord_size - len(chord) + 1))\n",
    "    for subset in subsets:\n",
    "        extended_chord = chord + subset\n",
    "        if(len(extended_chord) < max_chord_size):\n",
    "            for branch in subset:\n",
    "                yield from grow_chords(extended_chord, branch, min_chord_size, max_chord_size)\n",
    "        if(len(extended_chord) >= min_chord_size):\n",
    "            yield tuple(sorted(extended_chord, key=hs_array_to_fr))\n",
    "\n",
    "def chords(chord, root, min_chord_size, max_chord_size):\n",
    "    # this will filter out the 4x dups of paths that are loops, there might be a faster way to test this\n",
    "    return set(grow_chords(chord, root, min_chord_size, max_chord_size))\n",
    "\n",
    "# this is very slow, I have an idea in mind that my be faster by simply growing the chords to max_chord_size + max_sim_diff\n",
    "# technically at that point you have generated both chords and can get the second chord from the first\n",
    "def edges(chords, min_symdiff, max_symdiff, max_chord_size):    \n",
    "    def reverse_dict(dict):\n",
    "        rev_dict = deepcopy(dict)\n",
    "        rev_trans = tuple(t * -1 for t in rev_dict['transposition'])\n",
    "        rev_dict['transposition'] = rev_trans\n",
    "        rev_dict['movements'] = {\n",
    "            value['destination']:{\n",
    "                'destination':key, \n",
    "                'cent_difference':value['cent_difference']\n",
    "            } for key, value in rev_dict['movements'].items()}\n",
    "        return rev_dict\n",
    "\n",
    "    def is_directly_tunable(intersection, diff):\n",
    "        return max([len(collapse_pitch(pitch_difference(d, set(list(intersection)[0])))) for d in diff]) == 1\n",
    "\n",
    "    def edge_data(chords):\n",
    "        [expanded_base, expanded_comp] = [set(expand_chord(chord)) for chord in chords]\n",
    "        edges = []\n",
    "        transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n",
    "        for trans in transpositions:\n",
    "            rev_trans = tuple(t * -1 for t in trans)\n",
    "            expanded_comp_transposed = set(transpose_chord(expanded_comp, trans))\n",
    "            intersection = expanded_base & expanded_comp_transposed\n",
    "            [diff1, diff2] = [list(chord - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n",
    "            symdiff_len = (len(diff1) + len(diff2))\n",
    "            if (min_symdiff <= symdiff_len <= max_symdiff):\n",
    "                base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
    "                edge_dict = {\n",
    "                    'transposition': trans, \n",
    "                    'symmetric_difference': symdiff_len, \n",
    "                    'is_directly_tunable': is_directly_tunable(intersection, diff2)\n",
    "                }\n",
    "                maps = []\n",
    "                diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n",
    "                perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n",
    "                for p in perms:\n",
    "                    appended_map = {\n",
    "                        diff1[index]:\n",
    "                        {\n",
    "                            'destination': transpose_pitch(val, rev_trans) if val != None else None, \n",
    "                            'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n",
    "                        } for index, val in enumerate(p)}\n",
    "                    edge_dict['movements'] = base_map | appended_map\n",
    "                    edges.append((tuple(expanded_base), tuple(expanded_comp), edge_dict))\n",
    "                    edges.append((tuple(expanded_comp), tuple(expanded_base), reverse_dict(edge_dict)))\n",
    "        return edges if edges != [] else None\n",
    "        \n",
    "    return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c)) is not None]))\n",
    "\n",
    "def graph_from_edges(edges):\n",
    "    g = nx.MultiDiGraph()\n",
    "    g.add_edges_from(edges)\n",
    "    return g\n",
    "\n",
    "def generate_graph(chord_set, min_symdiff, max_symdiff, max_chord_size):\n",
    "    #chord_set = chords(pitch_set, min_chord_size, max_chord_size)\n",
    "    edge_set = edges(chord_set, min_symdiff, max_symdiff, max_chord_size)\n",
    "    res_graph = graph_from_edges(edge_set)\n",
    "    return res_graph\n",
    "\n",
    "def display_graph(graph):\n",
    "    show_graph = nx.Graph(graph)\n",
    "    pos = nx.draw_spring(show_graph, node_size=5, width=0.1)\n",
    "    plt.figure(1, figsize=(12,12)) \n",
    "    nx.draw(show_graph, pos, node_size=5, width=0.1)\n",
    "    plt.show()\n",
    "    #plt.savefig('compact_sets.png', dpi=150)\n",
    "\n",
    "def reconcile_path(path):\n",
    "    reconciled_path = [[tuple(0 for d in dims), sorted([p for p in list(path[0][2]['movements'].keys())], key=hs_array_to_fr)]]    \n",
    "    #print(reconciled_path)\n",
    "    for cdx in range(len(path)-1):\n",
    "        movements = path[cdx][2]['movements']\n",
    "        next_chord = [movements[p]['destination'] for p in reconciled_path[-1][1]]\n",
    "        trans = path[cdx][2]['transposition']\n",
    "        reconciled_path.append([trans, next_chord])\n",
    "    return reconciled_path\n",
    "\n",
    "def path_to_chords(path):\n",
    "    current_root = Fraction(1, 1)\n",
    "    chords = []\n",
    "    for trans, points in path:\n",
    "        #print(trans)\n",
    "        current_root = current_root * hs_array_to_fr(trans)\n",
    "        chord = [float(current_root * hs_array_to_fr(p)) if p is not None else None for p in points]\n",
    "        chords.append(chord)\n",
    "    return chords\n",
    "\n",
    "def write_chord_sequence(path):\n",
    "    file = open(\"seq.txt\", \"w+\")\n",
    "    content = json.dumps(path)\n",
    "    content = content.replace(\", \\\"\", \",\\n\\t\\\"\")\n",
    "    file.write(content)\n",
    "    file.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "id": "4e3ef738-7f64-47c3-9129-0450fd031375",
   "metadata": {},
   "outputs": [],
   "source": [
    "dims = (2, 3, 5, 7)\n",
    "root = (0, 0, 0, 0)\n",
    "chord = (root,)\n",
    "#%timeit chords(chord, root, 4, 4)\n",
    "#print(len(chord_set))\n",
    "chord_set = chords(chord, root, 3, 3)\n",
    "#edge_set = edges(chord_set, 2, 2, 3)\n",
    "#edge_set\n",
    "#%timeit edges(chord_set, 2, 2, 4)\n",
    "#print(len(edge_set))\n",
    "graph = generate_graph(chord_set, 2, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "aea5215c-8551-4685-b761-11c2dc74cf22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "125"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "def stochastic_hamiltonian(graph):\n",
    "        \n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        return [(1000 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) > 50) else 1) for e in edges]\n",
    "\n",
    "    \n",
    "    def hamiltonian_weights(edges):\n",
    "        return [(10 if e[1] not in [path_edge[0] for path_edge in path] else 1) for e in edges] \n",
    "\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "            \n",
    "        return [(2 if is_contrary(e) else 1) for e in edges]\n",
    "\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        return [(10 if e[2]['is_directly_tunable'] else 1) for e in edges]\n",
    "\n",
    "    \n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            #print(source_order != destination_order)\n",
    "            return source_order != destination_order\n",
    "            \n",
    "        return [(10 if not has_voice_crossing(e) else 0) for e in edges]\n",
    "        \n",
    "    \n",
    "    check_graph = graph.copy()\n",
    "    #next_node = choice(list(graph.nodes()))\n",
    "    next_node = list(graph.nodes())[0]\n",
    "    check_graph.remove_node(next_node)\n",
    "    path = []\n",
    "    while (nx.number_of_nodes(check_graph) > 0) and (len(path) < 5000):\n",
    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        #print([l for l in zip(movement_size_weights(out_edges), hamiltonian_weights(out_edges))])\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            hamiltonian_weights(out_edges), \n",
    "            contrary_motion_weights(out_edges), \n",
    "            is_directly_tunable_weights(out_edges),\n",
    "            voice_crossing_weights(out_edges)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        #weights = [reduce(mul, x) for x in [movement_size_weights(out_edges), hamiltonian_weights(out_edges)]]\n",
    "        #print(weights)\n",
    "        edge = choices(out_edges, weights=weights)[0]\n",
    "        #edge = random.choice(out_edges)\n",
    "        next_node = edge[1]\n",
    "        path.append(edge)\n",
    "        if next_node in check_graph.nodes:\n",
    "            check_graph.remove_node(next_node)\n",
    "    return path\n",
    "    \n",
    "stochastic_ham = stochastic_hamiltonian(graph)\n",
    "path = reconcile_path(stochastic_ham)\n",
    "write_chord_sequence(path_to_chords(path))\n",
    "len(path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "472e3033-cf7f-43da-9396-df6c6ee426b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def reverse_movements(movements):\n",
    "    return {value['destination']:{'destination':key, 'cent_difference':value['cent_difference']} for key, value in movements.items()}\n",
    "\n",
    "def is_directly_tunable(intersection, diff):\n",
    "    return max([len(collapse_pitch(pitch_difference(d, set(list(intersection)[0])))) for d in diff]) == 1\n",
    "\n",
    "def edge_data(chords, min_symdiff, max_symdiff, max_chord_size):\n",
    "    [expanded_base, expanded_comp] = [expand_chord(chord) for chord in chords]\n",
    "    edges = []\n",
    "    transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n",
    "    for trans in transpositions:\n",
    "        expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n",
    "        intersection = set(expanded_base) & set(expanded_comp_transposed)\n",
    "        symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n",
    "        if (min_symdiff <= symdiff_len <= max_symdiff):\n",
    "            rev_trans = tuple(t * -1 for t in trans)\n",
    "            [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n",
    "            base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
    "            base_map_rev = reverse_movements(base_map)\n",
    "            tunability = is_directly_tunable(intersection, diff2)\n",
    "            maps = []\n",
    "            diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n",
    "            perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n",
    "            for p in perms:\n",
    "                appended_map = {\n",
    "                    diff1[index]:\n",
    "                    {\n",
    "                        'destination': transpose_pitch(val, rev_trans) if val != None else None, \n",
    "                        'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n",
    "                    } for index, val in enumerate(p)}\n",
    "                edges.append((tuple(expanded_base), tuple(expanded_comp), {\n",
    "                    'transposition': trans,\n",
    "                    'symmetric_difference': symdiff_len, \n",
    "                    'is_directly_tunable': tunability,\n",
    "                    'movements': base_map | appended_map\n",
    "                }))\n",
    "                edges.append((tuple(expanded_comp), tuple(expanded_base), {\n",
    "                    'transposition': rev_trans,\n",
    "                    'symmetric_difference': symdiff_len, \n",
    "                    'is_directly_tunable': tunability,\n",
    "                    'movements': base_map_rev | reverse_movements(appended_map)\n",
    "                }))\n",
    "    return edges if edges != [] else None\n",
    "        \n",
    "def edges(chords, min_symdiff, max_symdiff, max_chord_size):            \n",
    "    return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c, min_symdiff, max_symdiff, max_chord_size)) is not None]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7f2d356f-6377-46cf-bbb1-32111be90f4f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The line_profiler extension is already loaded. To reload it, use:\n",
      "  %reload_ext line_profiler\n"
     ]
    }
   ],
   "source": [
    "%load_ext line_profiler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "7f141bf5-fdcb-4c01-a10b-3e86d3d1a7b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "chord_set = chords(chord, root, 5, 5)\n",
    "#edges(chord_set, 2, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "88850b8c-a743-44d0-b863-7cd9066690d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "lprun -f edge_data edges(chord_set, 2, 2, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "id": "a801362e-2b10-4c91-841b-9feae4b1be5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, -1, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -266.87090560373764}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1088.2687147302222}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': -155.13962033395967}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -848.6619009265847}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 351.33809907341526}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 1200.0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 111.73128526977791}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1044.8603796660402}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 427.3725722703306}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1431.1740935308749}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1319.442808261097}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 1115.5328065303222}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 196.1984787394557}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 729.2190926654876}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': 1003.8015212605446}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-4, 0, 2, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -155.13962033395978}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 0, 2, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 1319.442808261097}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 119.44280826109726}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (1, -1, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1115.5328065303222}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 462.34818706174997}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -231.1740935308748}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (2, -1, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -84.46719346967784}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 1, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -470.78090733451245}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (3, 0, 1, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -351.33809907341526}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, -1, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 848.6619009265848}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 155.13962033395984}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1003.8015212605444}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -884.3587129994473}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 2, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -196.1984787394554}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, 0, -2, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, 0, -2, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -119.44280826109718}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 84.4671934696778}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': 386.3137138648348}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -772.6274277296694}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 933.1290943962623}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 315.64128700055267}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (5, 0, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1355.1396203339596}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((3, 0, 0, -1), (1, 0, 1, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 1466.8709056037371}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1115.5328065303224}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': -70.67242686428199}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1311.7312852697778}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -111.73128526977763}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 1382.40371213406}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1270.672426864282}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -498.0449991346125}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 996.0899982692251}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -182.4037121340599}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 111.7312852697778}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1382.4037121340598}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': 1270.672426864282}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 111.73128526977776}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 0, 2, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 1586.3137138648349}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1355.1396203339598}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -772.6274277296695}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (4, -1, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 386.3137138648348}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (4, -1, -1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (3, -2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1088.2687147302222}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-3, 2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': -155.13962033395978}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 729.2190926654876}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -2, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 182.40371213406007}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-1, 2, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (3, -2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -203.91000173077495}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-3, 2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-3, 1, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (2, -1, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -84.46719346967784}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 1115.5328065303222}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': -617.48780739571}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, -1, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (5, 0, -2, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 70.67242686428197}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (3, 1, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (5, 0, -2, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -653.1846194685724}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': 653.1846194685722}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 84.46719346967757}}}),\n",
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       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 1200.0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (0, -1, 1, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 933.1290943962623}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-7, 1, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (6, 0, 0, -2), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 239.60681380363727}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (7, -1, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 1439.6068138036374}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 1200.0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 1515.641287000553}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-7, 1, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -342.90537880065284}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (7, -1, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -111.73128526977777}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 462.3481870617499}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -231.1740935308751}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1284.467193469678}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 342.90537880065295}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 27.26409180010006}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 498.0449991346125}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -857.0946211993471}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 266.87090560373747}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (-3, 2, 0, 0),\n",
       "     'cent_difference': -266.8709056037376}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-6, 2, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (5, -1, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -27.264091800100235}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (6, -2, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 857.0946211993472}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -155.1396203339595}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 617.4878073957098}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-2, 1, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 84.46719346967797}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (2, -1, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (-3, 2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 203.91000173077484}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (3, -2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 968.8259064691249}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 1172.7359081998998}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -239.6068138036374}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -933.1290943962625}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 315.6412870005529}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-5, 0, 1, 1): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -737.65181293825}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -84.46719346967757}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 1403.9100017307749}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -701.9550008653875}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 1, 0, 1): {'destination': (-5, 0, 0, 2),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -266.87090560373764}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-5, 0, 0, 2): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -582.5121926042901}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 1200.0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 506.47771940737493}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 960.3931861963625}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 266.8709056037376}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 1276.034473196915}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 582.5121926042902}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -582.5121926042904}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1276.0344731969153}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (3, 0, 1, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -351.33809907341526}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, -1, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1044.8603796660404}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1164.3031879271375}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -470.78090733451245}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1044.8603796660402}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 351.3380990734154}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -266.87090560373764}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -960.3931861963625}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 617.4878073957096}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -76.03447319691514}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -155.13962033395978}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -848.6619009265847}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (4, 1, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -35.69681207286248}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, -1, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -729.2190926654876}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 729.2190926654876}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 35.696812072862485}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 933.1290943962623}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 239.60681380363746}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (8, 0, -1, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 76.03447319691512}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-8, 0, 1, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -617.4878073957098}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 1164.3031879271377}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 470.78090733451234}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (8, 0, 0, -3),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, 0, -2): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -506.4777194073748}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-8, 0, 0, 3),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (6, 0, 0, -2),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (5, 0, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (6, 0, 0, -2): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((6, 0, 0, -2), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 155.13962033395984}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': -239.60681380363735}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 76.03447319691531}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1782.5121926042902}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1551.3380990734154}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1670.7809073345124}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': -155.13962033395956}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 470.78090733451245}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': -76.03447319691523}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 239.6068138036374}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1466.8709056037374}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -582.51219260429}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 351.33809907341526}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1355.1396203339596}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1235.6968120728625}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 582.5121926042904}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -470.78090733451245}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -266.87090560373747}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1123.9655268030847}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 266.87090560373747}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 35.696812072862315}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': -35.6968120728626}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 1200.0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (-2, 0, 0, 1), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-5, 0, 0, 2),\n",
       "     'cent_difference': 506.47771940737493}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (5, 0, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1706.477719407375}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-5, 0, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': -155.13962033395956}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 1200.0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': -84.46719346967757}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 155.13962033395975}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -470.78090733451245}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 315.6412870005526}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': -196.19847873945525}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-4, 0, 2, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1355.1396203339596}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 0, 2, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': -231.17409353087507}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 119.4428082610973}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': 84.46719346967757}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1080.5571917389027}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -737.6518129382499}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1284.4671934696776}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(1, 1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1670.7809073345124}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 196.19847873945542}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 1355.1396203339598}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1551.3380990734154}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': -351.33809907341526}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 427.3725722703305}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1396.1984787394554}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (5, 0, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(5, 0, -2, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': -813.6862861351651}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 111.73128526977763}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': -119.44280826109753}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -266.87090560373747}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-5, 0, 0, 2),\n",
       "     'cent_difference': 351.3380990734151}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1044.8603796660402}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 315.64128700055267}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1542.9053788006527}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1311.7312852697778}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1431.174093530875}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -155.13962033395978}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 84.4671934696778}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 617.4878073957096}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 933.1290943962623}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 1227.2640918001002}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -266.87090560373764}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (7, -1, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -239.60681380363758}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-7, 1, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 342.90537880065267}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (6, -2, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 27.26409180010014}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-6, 2, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -84.46719346967784}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 960.3931861963625}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 266.87090560373747}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1227.2640918001002}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -342.9053788006527}}}),\n",
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       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1115.5328065303224}}}),\n",
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       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 498.04499913461245}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -996.0899982692251}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 462.34818706174997}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -231.1740935308751}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -27.26409180010012}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -884.3587129994473}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 1200.0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 203.91000173077475}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (5, 0, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1466.8709056037376}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((5, -1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -111.73128526977763}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -729.2190926654876}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 546.8153805314278}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 84.4671934696778}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -266.87090560373747}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -427.3725722703305}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 203.91000173077498}}}),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -111.73128526977791}}}),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 182.4037121340598}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1311.7312852697778}}}),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
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       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -653.1846194685722}}}),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
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       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1284.4671934696778}}}),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -701.9550008653875}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (3, -2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1017.5962878659403}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -182.40371213405956}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1311.7312852697778}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 1, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1129.327573135718}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': -84.4671934696778}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 1200.0}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 1, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': -546.815380531428}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 470.78090733451245}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': -70.67242686428204}}}),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -582.5121926042904}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 155.13962033395956}}}),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
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       "   'movements': {(-1, 1, 0, 0): {'destination': (3, 0, -1, 0),\n",
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       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -386.3137138648347}}}),\n",
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       "  ((3, 0, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -617.48780739571}}}),\n",
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       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 658.5466658012053}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 196.19847873945542}}}),\n",
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       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 70.67242686428199}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -155.13962033395984}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -315.6412870005529}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 315.6412870005526}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': -41.0588584054957}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-4, 0, 2, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 0, 2, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -541.4533341987947}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 274.58242859505685}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -925.4175714049431}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -70.67242686428193}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -582.5121926042904}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1129.327573135718}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(1, 1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1515.641287000553}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1396.1984787394558}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': -196.1984787394557}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 582.51219260429}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 41.058858405495585}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 1200.0}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, 0, -2, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1241.0588584054958}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (5, 0, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(5, 0, -2, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': -658.5466658012056}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -111.73128526977791}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -274.5824285950571}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 1276.034473196915}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 582.5121926042904}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1858.5466658012056}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 813.6862861351653}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1627.3725722703307}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1746.8153805314278}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 462.34818706174997}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': -231.17409353087487}}}),\n",
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       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 933.1290943962623}}}),\n",
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       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
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       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (8, 0, -1, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 76.03447319691512}}}),\n",
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       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-8, 0, 1, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-5, 0, 1, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
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       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 546.815380531428}}}),\n",
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       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1542.9053788006527}}}),\n",
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       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -658.5466658012053}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1431.1740935308749}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1311.7312852697778}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 1200.0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 658.5466658012054}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -546.8153805314278}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -342.9053788006528}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': -111.73128526977791}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (5, 0, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1782.5121926042902}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 342.90537880065267}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (6, 0, -1, -1), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 231.17409353087498}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': -462.34818706174997}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 111.73128526977776}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -813.6862861351652}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1627.3725722703305}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -342.9053788006528}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -729.2190926654873}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 315.6412870005529}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 1200.0}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (5, 0, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 427.3725722703304}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (4, 1, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 546.815380531428}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, -1, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': -76.03447319691531}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': -617.4878073957098}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 1311.7312852697778}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 1515.641287000553}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (8, 0, -2, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 658.5466658012054}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-8, 0, 2, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (3, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 1746.8153805314282}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (8, 0, -1, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(6, 0, -1, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 76.03447319691512}}}),\n",
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       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-8, 0, 1, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (6, 0, -1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
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       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (6, 0, -1, -1): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -933.1290943962624}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((6, 0, -1, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
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       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -119.44280826109728}}}),\n",
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       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (-1, 1, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -351.33809907341526}}}),\n",
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       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1044.8603796660404}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1396.1984787394556}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 119.44280826109718}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -737.65181293825}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -266.87090560373736}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (5, -1, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 84.46719346967797}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (2, -1, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (5, -1, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 968.8259064691249}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 155.13962033395956}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -2, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (1, 0, 1, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 196.19847873945548}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (-2, 0, 2, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (1, 0, 1, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 315.6412870005529}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 386.31371386483465}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': -155.13962033395984}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 1080.5571917389027}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 1284.467193469678}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 427.3725722703304}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (-5, 0, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-5, 0, 1, 1): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 1515.641287000553}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (-5, 0, 0, 2),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -155.13962033395978}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-5, 0, 0, 2): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -470.7809073345125}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (0, 0, -1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1515.641287000553}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': -119.44280826109696}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -435.08409526164985}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 35.6968120728626}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1319.442808261097}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-3, 2, 0, 0),\n",
       "     'cent_difference': -729.2190926654874}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 203.91000173077484}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (3, -2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 1088.2687147302222}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -617.4878073957094}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 155.1396203339599}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 315.6412870005529}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (0, 2, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 435.0840952616498}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, -2, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 1200.0}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -701.9550008653873}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 1403.9100017307749}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (4, 1, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 546.815380531428}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-4, -1, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -546.8153805314275}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -470.78090733451245}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1164.3031879271375}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 1635.0840952616497}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (4, 1, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, 1, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -35.69681207286248}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-4, -1, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1044.86037966604}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, 1, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -386.3137138648349}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 772.6274277296696}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 1088.2687147302222}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -111.73128526977777}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 1382.40371213406}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': -111.73128526977769}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-4, 0, 2, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1270.672426864282}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 0, 2, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 203.91000173077487}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (2, -1, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -84.46719346967784}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-2, 1, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -996.0899982692251}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 498.04499913461245}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (1, -2, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 182.40371213406007}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-1, 2, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, -1, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 70.67242686428197}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (3, 1, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 1115.5328065303222}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -653.1846194685724}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(1, 1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1586.3137138648349}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1466.8709056037378}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': -266.8709056037377}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 653.1846194685722}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1311.7312852697778}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (5, 0, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(5, 0, -2, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 617.4878073957096}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': -729.2190926654876}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, -1, 1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 1355.1396203339598}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, -1, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (0, -1, 1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -182.4037121340599}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, -1, 1, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 470.78090733451245}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -386.31371386483477}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 84.46719346967791}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1311.7312852697778}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(5, -1, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -427.3725722703305}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, -1, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 1200.0}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, -1, 1): {'destination': (3, 0, -1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(1, 0, 1, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1080.557191738903}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, -1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 737.6518129382499}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 196.19847873945542}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -315.6412870005529}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': -111.73128526977791}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -968.8259064691251}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (2, 1, 0, -1),\n",
       "     'cent_difference': 119.44280826109696}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (5, 0, 0, -2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 0, 2), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1551.3380990734154}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 0, 2),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 0, 2): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -119.44280826109723}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -315.6412870005527}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 315.6412870005526}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 609.7762844043903}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -884.3587129994473}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': 274.5824285950572}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-4, 0, 2, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -884.3587129994472}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 0, 2, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 590.2237155956097}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -857.0946211993473}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -609.7762844043903}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -274.5824285950571}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 884.3587129994473}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (3, -2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -590.2237155956097}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-3, 2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -701.9550008653875}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 342.9053788006527}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -266.87090560373747}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -813.6862861351651}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(1, 1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1080.557191738903}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, -1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, -1, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (1, 0, 1, -1),\n",
       "     'cent_difference': 119.44280826109718}}}),\n",
       " (((1, 0, 1, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': -119.44280826109753}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 0, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -925.4175714049428}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (5, 0, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(5, 0, -2, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -155.13962033395984}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': -342.90537880065267}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-5, 0, 1, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 582.51219260429}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 203.91000173077498}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 1200.0}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -315.6412870005529}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 155.13962033395956}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (5, 0, -1, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-5, 0, 1, 1), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -857.0946211993472}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-5, 0, 1, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-5, 0, 1, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 1200.0}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-3, 2, 0, 0),\n",
       "     'cent_difference': -609.7762844043905}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -386.31371386483454}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -498.04499913461245}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 274.58242859505685}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 266.87090560373747}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (5, 0, -2, 0),\n",
       "     'cent_difference': -274.582428595057}}}),\n",
       " (((5, 0, -2, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -582.5121926042904}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1080.557191738903}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -427.3725722703305}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1044.8603796660404}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -925.4175714049431}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -590.2237155956096}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 1515.641287000553}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 470.78090733451245}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 294.1349974038377}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -884.3587129994472}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1172.7359081998998}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -590.2237155956096}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-3, 2, 0, 0),\n",
       "     'cent_difference': -294.1349974038376}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 1200.0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (3, -2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -905.8650025961624}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-3, 2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1017.5962878659402}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 27.26409180010012}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -182.40371213405956}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 590.2237155956097}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': -435.08409526165013}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -470.78090733451245}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -266.87090560373747}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 266.87090560373747}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -764.91590473835}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -111.73128526977763}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -729.2190926654876}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -609.7762844043903}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-5, 0, 1, 1),\n",
       "     'cent_difference': -546.8153805314276}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 1, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-3, 1, 1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1355.1396203339596}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 1, 1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-4, 1, 0, 1),\n",
       "     'cent_difference': -231.17409353087504}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-3, 2, 0, 0),\n",
       "     'cent_difference': -764.91590473835}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (1, 1, -1, 0),\n",
       "     'cent_difference': -653.184619468572}}}),\n",
       " (((1, 1, -1, 0), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 119.4428082610973}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, -1, 1),\n",
       "     'cent_difference': -119.44280826109718}}}),\n",
       " (((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 1200.0}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 111.73128526977791}}}),\n",
       " (((3, 0, -1, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, 0, -1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 470.7809073345124}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -737.6518129382499}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-1, 1, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': -203.91000173077498}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': -435.08409526165013}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (1, 1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-2, 0, 0, 1), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1235.6968120728625}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-1, -1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  {'transposition': (-1, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 1670.7809073345122}}}),\n",
       " (((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (1, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, -1, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': -582.51219260429}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 0, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (2, 1, 0, -1), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((3, 0, 0, -1), (2, 1, 0, -1), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (3, 0, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(3, 0, 0, -1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, 1, 0, -1): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (-5, 0, 0, 2),\n",
       "     'cent_difference': 35.696812072862485}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-5, 0, 0, 2)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-1, 1, 0, 0): {'destination': (3, 0, -1, 0), 'cent_difference': 0},\n",
       "    (-2, 0, 0, 1): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1080.5571917389027}}}),\n",
       " (((4, -1, -1, 0), (3, 0, -1, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (3, 0, -1, 0): {'destination': (-1, 1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (4, -1, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (4, -2, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1466.8709056037376}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  {'transposition': (6, -2, 0, -1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-4, 1, 0, 1), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 27.26409180010014}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 0, 1), (-4, 1, 0, 1)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-6, 2, 0, 1),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 0, 1): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-4, 1, 0, 1): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (4, -2, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': -884.3587129994473}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 609.7762844043904}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (5, -3, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 294.13499740383764}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-5, 3, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  {'transposition': (3, -2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-1, 1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-3, 2, 0, 0), 'cent_difference': 0},\n",
       "    (4, -2, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1200.0}}}),\n",
       " (((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-3, 2, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-1, 1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-3, 2, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (1, -2, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 182.40371213406007}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, 2, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-1, -1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (3, 0, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (1, 1, -1, 0), 'cent_difference': 0},\n",
       "    (4, -2, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -1311.7312852697778}}}),\n",
       " (((3, 0, -1, 0), (1, 1, -1, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (1, 1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(3, 0, -1, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (1, 1, -1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (4, -2, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': -266.8709056037376}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (5, -1, 0, -1),\n",
       "     'cent_difference': 1227.2640918001002}}}),\n",
       " (((5, -1, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (4, -2, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': -729.2190926654878}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-1, -1, 0, 1),\n",
       "     'cent_difference': 764.9159047383499}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-1, -1, 0, 1)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (4, -2, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -764.9159047383502}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 729.2190926654876}}}),\n",
       " (((3, 0, 0, -1), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (4, -2, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': -27.264091800100232}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0}}}),\n",
       " (((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  {'transposition': (2, -1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(4, -2, 0, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 0, 1),\n",
       "     'cent_difference': 1466.8709056037371}}}),\n",
       " (((2, -1, 0, 0), (0, 0, 0, 0), (-2, 0, 0, 1)),\n",
       "  ((4, -2, 0, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-2, 1, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (4, -2, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-4, 0, 2, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 315.64128700055255}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 0, 2, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-3, 1, 1, 0),\n",
       "     'cent_difference': 1474.582428595057}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-4, 1, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (4, -1, -1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (2, -1, 0, 0), 'cent_difference': 0},\n",
       "    (-4, 0, 2, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': -884.3587129994474}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (4, -1, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(4, -1, -1, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (2, -1, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  {'transposition': (-6, 1, 2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 0, 2, 0): {'destination': (2, -1, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (4, -1, -1, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 274.582428595057}}}),\n",
       " (((4, -1, -1, 0), (2, -1, 0, 0), (0, 0, 0, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (6, -1, -2, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(2, -1, 0, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (4, -1, -1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (-2, 0, 1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-4, 0, 2, 0): {'destination': (-2, 0, 1, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (0, 0, 0, 0), 'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': 617.4878073957096}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (2, 0, -1, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': False,\n",
       "   'movements': {(-2, 0, 1, 0): {'destination': (-4, 0, 2, 0),\n",
       "     'cent_difference': 0},\n",
       "    (0, 0, 0, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " (((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  ((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0},\n",
       "    (-4, 0, 2, 0): {'destination': (3, 0, 0, -1),\n",
       "     'cent_difference': -541.4533341987947}}}),\n",
       " (((3, 0, 0, -1), (0, 0, 0, 0), (-2, 0, 1, 0)),\n",
       "  ((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0)),\n",
       "  {'transposition': (0, 0, 0, 0),\n",
       "   'symmetric_difference': 2,\n",
       "   'is_directly_tunable': True,\n",
       "   'movements': {(0, 0, 0, 0): {'destination': (0, 0, 0, 0),\n",
       "     'cent_difference': 0},\n",
       "    (-2, 0, 1, 0): {'destination': (-2, 0, 1, 0), 'cent_difference': 0}}}),\n",
       " ...]"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(edges(chord_set, 2, 2, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "baf0040d-0743-47e7-af74-c356036991bf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Timer unit: 1e-09 s\n",
       "\n",
       "Total time: 0.24754 s\n",
       "File: /tmp/ipykernel_510889/3883039038.py\n",
       "Function: edges at line 55\n",
       "\n",
       "Line #      Hits         Time  Per Hit   % Time  Line Contents\n",
       "==============================================================\n",
       "    55                                           def edges(chords, min_symdiff, max_symdiff, max_chord_size):            \n",
       "    56         1  247540447.0    2e+08    100.0      return list(chain(*[e for c in combinations(chords, 2) if (e := edge_data(c, min_symdiff, max_symdiff, max_chord_size)) is not None]))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lprun -f edges edges(chord_set, 2, 2, 3)"
   ]
  }
 ],
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   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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