{ "cells": [ { "cell_type": "markdown", "id": "06774c1b-6cc6-4f6e-8f4a-bafd572f8ac3", "metadata": {}, "source": [ "# Topological Functions" ] }, { "cell_type": "code", "execution_count": 6, "id": "5178de6f-a93c-45b1-9608-b0bbe8a771f2", "metadata": {}, "outputs": [], "source": [ "from itertools import chain, combinations, permutations, product, pairwise\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", "\n", " def reverse_movements(movements):\n", " return {value['destination']:{'destination':key, 'cent_difference':value['cent_difference'] * -1} for key, value in movements.items()}\n", "\n", " def is_directly_tunable(intersection, diff):\n", " # this only works for now when intersection if one element - need to fix that\n", " return max([sum(abs(p) for p in collapse_pitch(pitch_difference(d, list(intersection)[0]))) for d in diff]) == 1\n", "\n", " for combination in combinations(chords, 2):\n", " [expanded_base, expanded_comp] = [expand_chord(chord) for chord in combination]\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", " 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", " yield (tuple(expanded_base), tuple(expanded_comp), {\n", " 'transposition': trans,\n", " 'symmetric_difference': symdiff_len, \n", " 'is_directly_tunable': is_directly_tunable(intersection, diff2),\n", " 'movements': base_map | appended_map\n", " },)\n", " yield (tuple(expanded_comp), tuple(expanded_base), {\n", " 'transposition': rev_trans,\n", " 'symmetric_difference': symdiff_len, \n", " 'is_directly_tunable': is_directly_tunable(intersection, diff1),\n", " 'movements': base_map_rev | reverse_movements(appended_map)\n", " },)\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 path_to_chords(path, start_root):\n", " current_root = start_root\n", " start_chord = tuple(sorted(path[0][0], key=hs_array_to_fr))\n", " chords = ((start_chord, start_chord,),)\n", " for edge in path:\n", " trans = edge[2]['transposition']\n", " movements = edge[2]['movements']\n", " current_root = transpose_pitch(current_root, trans)\n", " current_ref_chord = chords[-1][0]\n", " next_ref_chord = tuple(movements[pitch]['destination'] for pitch in current_ref_chord)\n", " next_transposed_chord = tuple(transpose_pitch(pitch, current_root) for pitch in next_ref_chord)\n", " chords += ((next_ref_chord, next_transposed_chord,),)\n", " return tuple(chord[1] for chord in chords)\n", "\n", "def write_chord_sequence(seq, path):\n", " file = open(path, \"w+\")\n", " content = json.dumps(seq)\n", " content = content.replace(\"[[[\", \"[\\n\\t[[\")\n", " content = content.replace(\", [[\", \",\\n\\t[[\")\n", " content = content.replace(\"]]]\", \"]]\\n]\")\n", " file.write(content)\n", " file.close()" ] }, { "cell_type": "markdown", "id": "b0722b0d-43fd-4c06-a932-248bf62fab6f", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "# This is the static version, which will be the middle piece" ] }, { "cell_type": "markdown", "id": "ea38a1da-7eac-4434-97b6-3208379affa0", "metadata": {}, "source": [ "## path functions" ] }, { "cell_type": "code", "execution_count": 12, "id": "aea5215c-8551-4685-b761-11c2dc74cf22", "metadata": {}, "outputs": [], "source": [ "from random import choice, choices, seed\n", "\n", "# This is for the static version\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", " for e in edges:\n", " yield 1000 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) > 50) else 1\n", "\n", " def hamiltonian_weights(edges):\n", " for e in edges:\n", " yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\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", " for e in edges:\n", " yield 10 if is_contrary(e) else 1\n", " \n", " def is_directly_tunable_weights(edges):\n", " for e in edges:\n", " yield 10 if e[2]['is_directly_tunable'] else 0\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", " return source_order != destination_order\n", "\n", " for e in edges:\n", " yield 10 if not has_voice_crossing(e) else 0\n", "\n", " def is_bass_rooted(chord):\n", " return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n", " \n", " check_graph = graph.copy()\n", " next_node = choice([node for node in graph.nodes() if is_bass_rooted(node)])\n", " check_graph.remove_node(next_node)\n", " for node in graph.nodes(data=True):\n", " node[1]['count'] = 1\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", " 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", " edge = choices(out_edges, weights=weights)[0]\n", " #edge = random.choice(out_edges)\n", " next_node = edge[1]\n", " node[1]['count'] += 1\n", " path.append(edge)\n", " if next_node in check_graph.nodes:\n", " check_graph.remove_node(next_node)\n", " return path" ] }, { "cell_type": "markdown", "id": "17c03eb3-b670-494b-a6db-225b1ac10525", "metadata": {}, "source": [ "## model" ] }, { "cell_type": "code", "execution_count": 3, "id": "4e3ef738-7f64-47c3-9129-0450fd031375", "metadata": {}, "outputs": [], "source": [ "dims = (2, 3, 5, 7, 11)\n", "root = (0, 0, 0, 0, 0)\n", "chord = (root,)\n", "chord_set = chords(chord, root, 3, 3)\n", "graph = generate_graph(chord_set, 4, 4, 3)" ] }, { "cell_type": "code", "execution_count": 4, "id": "6e0de0e5-7973-4a15-ae90-5bbb4a1ef49d", "metadata": {}, "outputs": [], "source": [ "seed(1954111620240509) \n", "path = stochastic_hamiltonian(graph)\n", "#for edge in path:\n", "# print(edge)\n", "write_chord_sequence(path_to_chords(path, root), \"everything_in_between.txt\")" ] }, { "cell_type": "markdown", "id": "b2e73f16-563f-4783-a6e9-0e5130be80e0", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "## profiling " ] }, { "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": 134, "id": "7f141bf5-fdcb-4c01-a10b-3e86d3d1a7b4", "metadata": {}, "outputs": [], "source": [ "chord_set = chords(chord, root, 3, 3)" ] }, { "cell_type": "code", "execution_count": 136, "id": "88850b8c-a743-44d0-b863-7cd9066690d9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timer unit: 1e-09 s\n", "\n", "Total time: 0.112228 s\n", "File: /tmp/ipykernel_515812/2679284550.py\n", "Function: edge_data at line 74\n", "\n", "Line # Hits Time Per Hit % Time Line Contents\n", "==============================================================\n", " 74 def edge_data(chords, min_symdiff, max_symdiff, max_chord_size):\n", " 75 990 29603044.0 29902.1 26.4 [expanded_base, expanded_comp] = [expand_chord(chord) for chord in chords]\n", " 76 990 229527.0 231.8 0.2 edges = []\n", " 77 990 23648371.0 23887.2 21.1 transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n", " 78 9193 2315267.0 251.9 2.1 for trans in transpositions:\n", " 79 8203 33386775.0 4070.1 29.7 expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n", " 80 8203 8393773.0 1023.3 7.5 intersection = set(expanded_base) & set(expanded_comp_transposed)\n", " 81 8203 11812057.0 1440.0 10.5 symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n", " 82 8203 2530596.0 308.5 2.3 if (min_symdiff <= symdiff_len <= max_symdiff):\n", " 83 rev_trans = tuple(t * -1 for t in trans)\n", " 84 [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n", " 85 base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n", " 86 base_map_rev = reverse_movements(base_map)\n", " 87 tunability = is_directly_tunable(intersection, diff2)\n", " 88 maps = []\n", " 89 diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n", " 90 perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n", " 91 for p in perms:\n", " 92 appended_map = {\n", " 93 diff1[index]:\n", " 94 {\n", " 95 'destination': transpose_pitch(val, rev_trans) if val != None else None, \n", " 96 'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n", " 97 } for index, val in enumerate(p)}\n", " 98 edges.append((tuple(expanded_base), tuple(expanded_comp), {\n", " 99 'transposition': trans,\n", " 100 'symmetric_difference': symdiff_len, \n", " 101 'is_directly_tunable': tunability,\n", " 102 'movements': base_map | appended_map\n", " 103 }))\n", " 104 edges.append((tuple(expanded_comp), tuple(expanded_base), {\n", " 105 'transposition': rev_trans,\n", " 106 'symmetric_difference': symdiff_len, \n", " 107 'is_directly_tunable': tunability,\n", " 108 'movements': base_map_rev | reverse_movements(appended_map)\n", " 109 }))\n", " 110 990 308812.0 311.9 0.3 return edges if edges != [] else None" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lprun -f edge_data edges(chord_set, 3, 3, 4)" ] }, { "cell_type": "markdown", "id": "94ab1f6a-d020-444a-b67d-e62428ed416f", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "# This is for the rising version/yitgadal, which will be either the last of the 3 pieces (with option of the pieces played in reverse)" ] }, { "cell_type": "markdown", "id": "6af2ac39-ffae-4403-af81-c214ac257aac", "metadata": {}, "source": [ "## path functions" ] }, { "cell_type": "code", "execution_count": 86, "id": "6e4ecb10-344b-4721-b2f4-68de91d712db", "metadata": {}, "outputs": [], "source": [ "from random import choice, choices\n", "\n", "# This is for the rising version / yitgadal\n", "def stochastic_hamiltonian(graph):\n", " \n", " def movement_size_weights(edges):\n", " \n", " def max_cent_diff(edge):\n", " res = max([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 = [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", " for e in edges:\n", " if min_cent_diff(e) < 0:\n", " yield 250 if (abs(min_cent_diff(e)) > 500) else 1\n", " else: \n", " yield 1000 if (max_cent_diff(e) < 150) else 1/pow(max_cent_diff(e), 2)\n", "\n", " def hamiltonian_weights(edges):\n", " for e in edges:\n", " yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\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", " for e in edges:\n", " yield 2 if is_contrary(e) else 1\n", " \n", " def is_directly_tunable_weights(edges):\n", " for e in edges:\n", " yield 10 if e[2]['is_directly_tunable'] else 0\n", "\n", " def transposition_weight(edges):\n", " for e in edges:\n", " yield 1000 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 0\n", "\n", " def is_sustained_voice(edges, voice):\n", " \n", " def is_sustained(edge):\n", " source = list(edge[0])\n", " ordered_source = sorted(source, key=hs_array_to_fr) \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", " return ordered_source[voice] == ordered_destination[voice]\n", "\n", " for e in edges:\n", " yield 10 if is_sustained(e) else 0\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", " return source_order != destination_order\n", "\n", " for e in edges:\n", " yield 10 if not has_voice_crossing(e) else 0\n", "\n", " def dca_weight(edges, last_chords):\n", " for edge in edges:\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 = tuple(sorted(destination, key=hs_array_to_fr))\n", " test_sequence = tuple(zip(*(last_chords + (ordered_destination, ))))\n", " print('here')\n", " print(test_sequence)\n", " if len(test_sequence[0]) < 6:\n", " yield 10\n", " else:\n", " if len(set(test_sequence[0][-5:])) == 1 or len(set(test_sequence[1][-5:])) == 1 or len(set(test_sequence[2][-5:])) == 1:\n", " yield 2\n", " else:\n", " yield 10\n", "\n", " def is_bass_rooted(chord):\n", " return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n", " \n", " check_graph = graph.copy()\n", " #next_node = choice([node for node in graph.nodes() if is_bass_rooted(node)])\n", " next_node = choice(list(graph.nodes()))\n", " s_next_node = sorted(next_node, key=hs_array_to_fr)\n", " last_chords = (tuple(s_next_node),)\n", " print(next_node)\n", " check_graph.remove_node(next_node)\n", " for node in graph.nodes(data=True):\n", " node[1]['count'] = 1\n", " path = []\n", " while (nx.number_of_nodes(check_graph) > 0) and (len(path) < 500):\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", " voice_crossing_weights(out_edges),\n", " dca_weight(out_edges, last_chords),\n", " #contrary_motion_weights(out_edges), \n", " #is_directly_tunable_weights(out_edges),\n", " #transposition_weight(out_edges)\n", " #is_sustained_voice(out_edges, 0)\n", " ]\n", " weights = [prod(a) for a in zip(*factors)]\n", " edge = choices(out_edges, weights=weights)[0]\n", " next_node = edge[1]\n", " s_next_node = sorted(next_node, key=hs_array_to_fr)\n", " last_chords = last_chords + (s_next_node,)\n", " if len(last_chords) > 10:\n", " last_chords = last_chords[-10:]\n", " print(last_chords)\n", " \n", " node[1]['count'] += 1\n", " path.append(edge)\n", " if next_node in check_graph.nodes:\n", " check_graph.remove_node(next_node)\n", " print(len(check_graph.nodes()))\n", " return path" ] }, { "cell_type": "markdown", "id": 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data rate exceeded.\n", "The Jupyter server will temporarily stop sending output\n", "to the client in order to avoid crashing it.\n", "To change this limit, set the config variable\n", "`--ServerApp.iopub_data_rate_limit`.\n", "\n", "Current values:\n", "ServerApp.iopub_data_rate_limit=1000000.0 (bytes/sec)\n", "ServerApp.rate_limit_window=3.0 (secs)\n", "\n" ] }, { "data": { "text/plain": [ "226" ] }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": [ "seed(20240509)\n", "path = stochastic_hamiltonian(graph)\n", "#for edge in path:\n", "# print(edge)\n", "write_chord_sequence(path_to_chords(path, root), \"rise_yitgadal.txt\")\n", "len(path)" ] }, { "cell_type": "markdown", "id": "4a9a4688-c648-4339-a328-4c514fca75f2", "metadata": {}, "source": [ "# This is for the beginning/breysheet, which will be the first of the set of 3 (with option in reverse)" ] }, { "cell_type": "markdown", "id": "6849a0ac-cb9b-45f2-b32d-5695a06549d9", "metadata": {}, "source": [ "## functions for analyzing a recording and filtering the data" ] }, { "cell_type": "code", "execution_count": 3, "id": "91fd1700-6f41-4a4c-98cb-8355075d44d2", "metadata": {}, "outputs": [], "source": [ "#ffmpeg -i video.mkv -acodec pcm_s16le -ar 16000 -ac 2 bereshit_chant.wav\n", "#sox bereshit_chant.wav bereshit_chant_snippet.wav trim 4 60" ] }, { "cell_type": "code", "execution_count": 1, "id": "51be5ff2-2b7f-4350-878f-09e79d4bff1f", "metadata": {}, "outputs": [], "source": [ "import crepe\n", "from scipy.io import wavfile" ] }, { "cell_type": "code", "execution_count": 2, "id": "9b8e1e21-c5f5-4d77-8d1c-094b073b8322", "metadata": {}, "outputs": [], "source": [ "sr, audio = wavfile.read('/home/mwinter/Downloads/bereshit_chant_snippet.wav')" ] }, { "cell_type": "code", "execution_count": 3, "id": "01f8f969-fc3c-46a2-acfd-b1f956e438bc", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2024-06-29 17:38:51.445823: I external/local_tsl/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n", "2024-06-29 17:38:51.596883: I external/local_tsl/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n", "2024-06-29 17:38:52.169873: I tensorflow/core/platform/cpu_feature_guard.cc:210] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n", "To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n", "2024-06-29 17:38:53.807194: W tensorflow/compiler/tf2tensorrt/utils/py_utils.cc:38] TF-TRT Warning: Could not find TensorRT\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1m76/76\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m65s\u001b[0m 845ms/step\n" ] } ], "source": [ "time, frequency, confidence, activation = crepe.predict(audio, sr, step_size = 25)\n", "#time, frequency, confidence = [list(time), list(frequency), list(confidence)]" ] }, { "cell_type": "markdown", "id": "6909f6c9-b8b7-4fe8-bca3-57fb8b8851b3", "metadata": {}, "source": [ "## legacy stuff" ] }, { "cell_type": "code", "execution_count": 58, "id": "63d4b87f-7782-4aec-9066-6f2710f3d997", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2\n", "51.0\n", "1\n", "46.0\n", "1\n", "44.0\n", "0\n", "41.0\n", "0\n", "39.0\n", "2\n", "53.0\n", "1\n", "42.0\n", "2\n", "51.0\n", "1\n", "41.0\n", "0\n", "37.0\n", "0\n", "36.0\n", "1\n", "42.0\n", "2\n", "49.0\n", "2\n", "48.0\n", "0\n", "37.0\n", "2\n", "49.0\n", "0\n", "39.0\n", "1\n", "44.0\n", "2\n", "51.0\n", "0\n", "40.0\n", "0\n", "39.0\n", "1\n", "44.0\n", "2\n", "52.0\n", "2\n", "51.0\n", "1\n", "42.0\n", "1\n", "41.0\n", "0\n", "37.0\n", "0\n", "36.0\n", "1\n", "44.0\n", "2\n", "49.0\n", "2\n", "48.0\n", "1\n", "46.0\n", "0\n", "39.0\n", "1\n", "44.0\n", "2\n", 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-200.0),\n", " (0.05, 41.0, 0, (0,), -1000.0),\n", " (0.2, 46.0, 1, (0,), 500.0),\n", " (0.2, 53.0, 2, (0,), 700.0),\n", " (0.05, 39.0, 0, (0,), -1400.0),\n", " (0.2, 44.0, 1, (0,), 500.0),\n", " (2.475, 51.0, 2, (0,), 700.0),\n", " (1.5, 41.0, 1, (0,), -1000.0),\n", " (1.6, 42.0, 1, (0,), 100.0),\n", " (1.3, 36.0, 0, (0,), -600.0),\n", " (0.2, 39.0, 1, (0,), 300.0),\n", " (0.025, 37.0, 0, (0,), -200.0),\n", " (0.575, 48.0, 2, (0,), 1100.0),\n", " (0.3, 46.0, 1, (0,), -200.0),\n", " (0.625, 47.0, 1, (0,), 100.0),\n", " (0.55, 49.0, 2, (0,), 200.0),\n", " (0.2, 34.0, 0, (0,), -1500.0),\n", " (0.075, 41.0, 0, (0,), 700.0),\n", " (0.525, 42.0, 0, (0,), 100.0),\n", " (0.125, 37.0, 0, (0,), -500.0),\n", " (1.425, 42.0, 1, (0,), 500.0),\n", " (0.65, 46.0, 2, (0,), 400.0),\n", " (0.075, 53.0, 2, (0,), 700.0),\n", " (0.525, 54.0, 2, (0,), 100.0),\n", " (0.1, 49.0, 2, (0,), -500.0),\n", " (0.9, 44.0, 1, (0,), -500.0),\n", " (0.325, 41.0, 1, (0,), -300.0),\n", " (0.475, 39.0, 0, (0,), -200.0),\n", " (2.175, 51.0, 2, (0,), 1200.0),\n", " (0.95, 48.0, 2, (0,), -300.0),\n", " (0.05, 36.0, 0, (0,), -1200.0),\n", " (0.5, 44.0, 1, (0,), 800.0),\n", " (0.6, 45.0, 1, (0,), 100.0),\n", " (1.175, 44.0, 1, (0,), -100.0),\n", " (0.125, 39.0, 0, (0,), -500.0),\n", " (0.15, 40.0, 0, (0,), 100.0),\n", " (0.35, 39.0, 0, (0,), -100.0),\n", " (0.1, 46.0, 1, (0,), 700.0),\n", " (0.2, 41.0, 0, (0,), -500.0),\n", " (0.1, 51.0, 2, (0,), 1000.0),\n", " (0.4, 40.0, 0, (0,), -1100.0),\n", " (0.05, 52.0, 2, (0,), 1200.0),\n", " (0.35, 39.0, 0, (0,), -1300.0),\n", " (0.2, 45.0, 1, (0,), 600.0),\n", " (1.6, 51.0, 2, (0,), 600.0),\n", " (0.2, 44.0, 1, (0,), -700.0),\n", " (0.45, 53.0, 2, (0,), 900.0),\n", " (0.05, 37.0, 0, (0,), -1600.0),\n", " (0.2, 42.0, 1, (0,), 500.0),\n", " (0.5, 43.0, 1, (0,), 100.0),\n", " (0.05, 52.0, 2, (0,), 900.0),\n", " (0.35, 38.0, 0, (0,), -1400.0),\n", " (0.475, 45.0, 1, (0,), 700.0),\n", " (0.925, 44.0, 1, (0,), -100.0),\n", " (0.7, 51.0, 2, (0,), 700.0),\n", " (0.2, 49.0, 2, (0,), -200.0),\n", " (0.9, 50.0, 2, (0,), 100.0),\n", " (0.05, 52.0, 2, (0,), 200.0),\n", " (0.425, 40.0, 0, (0,), -1200.0),\n", " (0.95, 51.0, 2, (0,), 1100.0),\n", " (1.925, 39.0, 0, (0,), -1200.0),\n", " (0.8, 40.0, 0, (0,), 100.0),\n", " (0.3, 41.0, 0, (0,), 100.0),\n", " (0.8, 45.0, 1, (0,), 400.0),\n", " (0.6, 46.0, 1, (0,), 100.0),\n", " (0.375, 37.0, 0, (0,), -900.0),\n", " (0.725, 52.0, 2, (0,), 1500.0),\n", " (0.075, 42.0, 1, (0,), -1000.0),\n", " (1.7, 53.0, 2, (0,), 1100.0),\n", " (0.025, 49.0, 2, (0,), -400.0),\n", " (0.75, 49.0, 1, (0,), 0.0),\n", " (0.9, 47.0, 1, (0,), -200.0),\n", " (0.8, 46.0, 1, (0,), -100.0),\n", " (0.65, 44.0, 1, (0,), -200.0),\n", " (0.65, 44.0, 0, (0,), 0.0),\n", " (0.1, 46.0, 1, (0,), 200.0),\n", " (0.375, 42.0, 0, (0,), -400.0),\n", " (0.2, 41.0, 0, (0,), -100.0),\n", " (0.275, 39.0, 0, (0,), -200.0),\n", " (0.05, 56.0, 2, (0,), 1700.0),\n", " (0.25, 41.0, 0, (0,), -1500.0),\n", " (0.45, 39.0, 0, (0,), -200.0),\n", " (0.375, 54.0, 2, (0,), 1500.0),\n", " (0.2, 53.0, 2, (0,), -100.0),\n", " (0.325, 51.0, 2, (0,), -200.0),\n", " (0.25, 53.0, 2, (0,), 200.0),\n", " (4.55, 51.0, 2, (0,), -200.0),\n", " (0.575, 42.0, 1, (0,), -900.0),\n", " (0.325, 41.0, 1, (0,), -100.0),\n", " (0.175, 42.0, 1, (0,), 100.0),\n", " (0.075, 44.0, 1, (0,), 200.0),\n", " (0.4, 37.0, 0, (0,), -700.0),\n", " (1.075, 49.0, 2, (0,), 1200.0),\n", " (0.325, 36.0, 0, (0,), -1300.0),\n", " (0.175, 37.0, 0, (0,), 100.0),\n", " (0.725, 39.0, 0, (0,), 200.0),\n", " (1.3, 48.0, 2, (0,), 900.0),\n", " (0.7, 49.0, 2, (0,), 100.0),\n", " (0.9, 51.0, 2, (0,), 200.0),\n", " (0.6, 45.0, 1, (0,), -600.0),\n", " (0.4, 46.0, 1, (0,), 100.0),\n", " (0.6, 40.0, 0, (0,), -600.0),\n", " (0.2, 41.0, 0, (0,), 100.0),\n", " (0.8, 44.0, 1, (0,), 300.0),\n", " (0.075, 40.0, 0, (0,), -400.0),\n", " (0.125, 52.0, 2, (0,), 1200.0),\n", " (0.025, 39.0, 0, (0,), -1300.0),\n", " (0.25, 53.0, 2, (0,), 1400.0),\n", " (0.05, 52.0, 2, (0,), -100.0),\n", " (0.45, 51.0, 2, (0,), -100.0),\n", " (0.025, 52.0, 2, (0,), 100.0),\n", " (0.325, 45.0, 1, (0,), -700.0)]" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import librosa \n", "import numpy as np\n", "from scipy.signal import savgol_filter\n", "import matplotlib.pyplot as plt\n", "from random import randint\n", "\n", "def filter_data(time, frequency, confidence):\n", " data = tuple(data for data in zip(list(time), list(frequency), list(confidence)) if data[2] > 0.1)\n", " dev = 0\n", " dur = 0\n", " for (p1, p2) in pairwise(data):\n", " t_diff = (p2[0] - p1[0])\n", " dur = round(dur + (p2[0] - p1[0]), 2)\n", " if(True):\n", " freq1, conf1 = p1[1:3]\n", " midi1 = librosa.hz_to_midi(freq1)\n", " r_midi1 = np.around(midi1)\n", " freq2, conf2 = p2[1:3]\n", " midi2 = librosa.hz_to_midi(freq2)\n", " r_midi2 = np.around(midi2)\n", " #if(r_midi2 != r_midi1):\n", " if(True):\n", " yield(dur, freq1, conf1, midi1, r_midi1, dev * 100)\n", " dev = r_midi2 - r_midi1\n", " dur = 0\n", "\n", "def filter_data(time, frequency, confidence):\n", " data = tuple(data for data in zip(list(time), list(frequency), list(confidence)) if data[2] > 0.9)\n", " #durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(data)) + ((1,))\n", " #data = tuple((d,) + data[i][1:] for i, d in enumerate(durs) if d > 0.01)\n", " #print(data)\n", " m, rm = [librosa.hz_to_midi(data[0][1]), np.around(librosa.hz_to_midi(data[0][1]))]\n", " yield(data[0] + (m, rm, 0,))\n", " for i, [t, f, c] in enumerate(data):\n", " nm, nrm = [librosa.hz_to_midi(f), np.around(librosa.hz_to_midi(f))]\n", " if((0 < i < len(data) - 1) and (nrm != rm)):\n", " m, rm, d = [nm, nrm, nrm - rm]\n", " yield(t, f, c, m, rm, d * 100)\n", " \n", "t_min = 50\n", "t_max = 600\n", "f_time, f_frequency, f_confidence = [time[t_min:], frequency[t_min:], confidence[t_min:]]\n", "s_confidence = savgol_filter(f_confidence, 30, 4)\n", "#plt.plot(f_time, f_confidence)\n", "#plt.plot(f_time, s_confidence, color='red')\n", "#plt.show()\n", "\n", "def freqs_to_midi(freqs, confs):\n", " last_confident_value = 51\n", " for f, c in zip(freqs, confs):\n", " if c > 0.9:\n", " last_confident_value = librosa.hz_to_midi(f)\n", " yield last_confident_value\n", " \n", "#m_time, midi = zip(*[[t, librosa.hz_to_midi(f)] for t, f, c in zip(f_time, f_frequency, s_confidence) if c > 0.0])\n", "#nr_midi = np.interp(f_time, m_time, midi)\n", "#r_midi = np.interp(f_time, m_time, np.around(midi))\n", "#midi\n", "\n", "#data_v2 = tuple(d + (2,) for d in zip(f_time, f_frequency, s_confidence))\n", "#data_v1 = tuple(d + (1,) for d in zip([t + 2 for t in f_time], f_frequency, s_confidence))\n", "#data_v0 = tuple(d + (0,) for d in zip([t + 4 for t in f_time], f_frequency, s_confidence))\n", "\n", "#data = data_v2 + data_v1 + data_v0\n", "#data = sorted(data)\n", "#f_time = tuple(d[0] for d in data)\n", "#ins = tuple(d[-1] for d in data)\n", "\n", "def snap_midi(midi):\n", " r_midi = np.around(midi)\n", " s_midi = np.around(savgol_filter(midi, 30, 5))\n", " last_val = s_midi[0]\n", " for i, (r1, r2) in enumerate(pairwise(r_midi)):\n", " if r1 != r2:\n", " last_val = s_midi[i+5]\n", " yield last_val\n", " yield last_val\n", "\n", "def format_midi(midi):\n", " last_val = midi[0]\n", " dur = 1\n", " dev = 0.0\n", " first_flag = True\n", " for i, (m1, m2) in enumerate(pairwise(midi)):\n", " if m1 != m2:\n", " #yield (dur / 40, last_val, dev * 100)\n", " if first_flag or dur < 10:\n", " yield (10 / 40.0, last_val, dev * 100)\n", " first_flag = False\n", " else:\n", " size = int(dur / 20)\n", " \n", " #sep = randint(1, size)\n", " #yield (10 / 40.0 * sep, last_val, dev * 100)\n", " #yield (10 / 40.0 * (size - sep), last_val, 0.0)\n", "\n", " b_dur = randint(5, 10)\n", " yield (randint(10, 20) / 40.0, last_val, dev * 100)\n", " for i in range(size):\n", " yield (randint(10, 20) / 40.0, last_val, 0.0)\n", " \n", " last_val = m2\n", " dur = 1\n", " dev = m2 - m1\n", " else:\n", " dur += 1\n", "\n", "#need to figure out how to make each note hold for a bit and then release\n", "def filter_midi(midi):\n", " last_val = midi[0][-1]\n", " ins = 2\n", " dur = 1\n", " total_dur = 0\n", " dev = 0.0\n", " remaining_durs = [100, 100, 100]\n", " first_flag = True\n", " for i, (m1, m2) in enumerate(pairwise(midi)):\n", " if m1 != m2:\n", " #print([m1, m2])\n", " #print(last_val)\n", " #print(ins)\n", " #yield (dur / 40, last_val, ins, dev * 100)\n", "\n", " if first_flag or dur < 20:\n", " allowed_ins = (ins,)\n", " print((10 / 40.0, last_val, ins, allowed_ins, dev * 100))\n", " yield (10 / 40.0, last_val, ins, allowed_ins, dev * 100)\n", " first_flag = False\n", " else:\n", " size = int(dur / 10) \n", "\n", " #b_dur = randint(1, size)\n", " #yield ((b_dur * 10) / 40.0, last_val, ins, dev * 100)\n", " #yield (((size - b_dur) * 10) / 40.0, last_val, ins, 0)\n", "\n", " #yield (((size - 1) * 10) / 40.0, last_val, ins, dev * 100)\n", " #yield (10 / 40.0, last_val, ins, 0)\n", "\n", " #allowed_ins = tuple(ibx for ibx, r_dur in enumerate(remaining_durs) if r_dur < 20 or ibx == ins)\n", " allowed_ins = (ins,)\n", " yield (randint(5, 10) / 40.0, last_val, ins, allowed_ins, dev * 100)\n", " print((randint(5, 10) / 40.0, last_val, ins, allowed_ins, dev * 100))\n", " for irx in range(size - 1):\n", " allowed_ins = tuple(ibx for ibx, r_dur in enumerate(remaining_durs) if r_dur < 20 and ibx != ins)\n", " yield (randint(5, 10) / 40.0, last_val, ins, allowed_ins, 0.0)\n", " print((randint(5, 10) / 40.0, last_val, ins, allowed_ins, 0.0))\n", "\n", " remaining_durs[ins] = 0\n", " print(ins)\n", " print(midi[i + remaining_durs[ins]])\n", " print(midi[i + 1 + remaining_durs[ins]])\n", " while midi[i + 1 + remaining_durs[ins]][ins] == midi[i + 2 + remaining_durs[ins]][ins] and midi[total_dur + 2 + remaining_durs[ins]][ins] < len(midi):\n", " remaining_durs[ins] += 1\n", "\n", " ins = [imx for imx, m in enumerate(m1) if m1[imx] != m2[imx]][0]\n", " #ins = 2\n", " dur = 1\n", " dev = m2[ins] - last_val\n", " last_val = m2[ins]\n", " else:\n", " dur += 1\n", " remaining_durs = [r_dur - 1 for r_dur in remaining_durs]\n", " print(remaining_durs)\n", " print(midi[i])\n", " total_dur += 1\n", "\n", "def filter_midi(midi):\n", " remainder_durs = [1000, 1000, 1000]\n", " for imx, m in enumerate(midi):\n", " if m != midi[imx - 1]:\n", " if imx == 0:\n", " ins = 2\n", " val = m[2]\n", " last_val = val\n", " else:\n", " ins = [pmx for pmx, p in enumerate(m) if p != midi[imx - 1][pmx]][0]\n", " val = m[ins]\n", " note_dur = 0\n", " print(ins)\n", " print(val)\n", " while imx + note_dur < len(midi) and midi[imx + note_dur][ins] == val:\n", " note_dur += 1\n", " next_dur = 0\n", " while imx + next_dur < len(midi) and midi[imx + next_dur] == m:\n", " next_dur += 1\n", " remainder_durs[ins] = note_dur - next_dur\n", " dev = val - last_val\n", " allowed_ins = (0,)\n", " \n", " yield (next_dur / 40.0, val, ins, allowed_ins, dev * 100)\n", " \n", " last_val = val\n", " remainder_durs = [rd - 1 for rd in remainder_durs]\n", " \n", "midi = list(freqs_to_midi(f_frequency, f_confidence))\n", "\n", "#plt.plot(f_time, midi)\n", "#plt.plot(f_time, savgol_filter(midi, 30, 5), color='yellow')\n", "#plt.plot(f_time, np.around(savgol_filter(midi, 30, 5)), color='red')\n", "#plt.plot(f_time, np.around(midi), color='green')\n", "#plt.plot(f_time, list(snap_midi(midi)), color='blue')\n", "#plt.show()\n", "\n", "midi = tuple(snap_midi(midi))\n", "\n", "#print(len(midi))\n", "#print(midi)\n", "\n", "fs = 2351 # sample rate \n", "f = 20 # the frequency of the signal\n", "\n", "#midi = zip(\n", "# tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(randint(2, 4))] for m in midi))),\n", "# tuple(midi[0] - 7 for i in range(1 * 40)) + tuple(chain(*tuple([m - 7 for r in range(randint(1, 3))] for m in midi))) + tuple(midi[-1] - 12 for i in range(5 * 40)),\n", "# tuple(chain(*tuple([m for r in range(int(1 - np.cos(2*np.pi*f * (imx/fs))) * 5 + 1)] for imx, m in enumerate(midi)))) + tuple(midi[-1] - 0 for i in range(10 * 40)))\n", "\n", "midi = zip(\n", " tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(int(1 - np.sin(2*np.pi*14 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n", " tuple(midi[0] - 7 for i in range(1 * 40)) + tuple(chain(*tuple([m - 7 for r in range(int(1 - np.sin(2*np.pi*12 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n", " tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi))))\n", ")\n", "\n", "#for m in list(midi):\n", "# print(m)\n", "\n", "target_melody_data = list(filter_midi(list(midi)))\n", "target_melody_data\n", "\n", "\n", "#target_melody_data = list(filter_data(time, frequency, confidence))\n", "#target_melody_data\n", "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n", "#print(durs)\n", "#target_melody_data = tuple((d,) + target_melody_data[i][1:] for i, d in enumerate(durs) if d > 0.1)\n", "#list(target_melody_data)" ] }, { "cell_type": "code", "execution_count": 309, "id": "762c7dd3-7c20-47a5-aa12-c090f243833a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "jere\n", "24000\n" ] }, { "data": { "text/plain": [ "range(0, 0)" ] }, "execution_count": 309, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt # For ploting\n", "import numpy as np # to work with numerical data efficiently\n", "\n", "fs = 2351 # sample rate \n", "f = 5 # the frequency of the signal\n", "\n", "#x = np.arange(fs) # the points on the x axis for plotting\n", "#print(x)\n", "x = np.array([i for i in range(fs)])\n", "#print(x)\n", "# compute the value (amplitude) of the sin wave at the for each sample\n", "#y = (1 - np.sin(0.5 * np.pi + 2*np.pi*f * ((x)/fs))) * 2 + 0\n", "y = 1 - np.sin(0.5 * np.pi + 2*np.pi*12 * ((x)/fs)) * 2 + 1\n", "\n", "print(\"jere\")\n", "print(10 * 60 * 40)\n", "\n", "#this instruction can only be used with IPython Notbook. \n", "# showing the exact location of the smaples\n", "plt.stem(x,y, 'r', )\n", "plt.plot(x,y)\n", "np.cos(2*np.pi*f * (10/fs)) * 1 + 2\n", "range(int((1 - np.sin(2*np.pi*f * (50/fs))) * + 2))\n" ] }, { "cell_type": "markdown", "id": "1d9d26d1-caa8-43f3-a4da-803ae55b3502", "metadata": {}, "source": [ "## cleanup (this is what is being used)" ] }, { "cell_type": "code", "execution_count": 76, "id": "fb2ad9ad-7a8c-4f84-ab0c-9c1f1ecdb8a8", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 53.0, 53.0, 53.0, 53.0, 53.0, 53.0, 53.0, 53.0, 53.0, 53.0, 53.0, 53.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 49.0, 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52.0), (53.0, 49.0, 52.0), (53.0, 49.0, 52.0), (53.0, 49.0, 52.0), (53.0, 49.0, 52.0), (53.0, 49.0, 52.0), (53.0, 49.0, 52.0), (57.0, 49.0, 52.0)]\n", "---\n", "(0.0, 51.0, 2, 51.0)\n", "(1.05, 51.0, 2, 0.0)\n", "---\n", "(1.05, 53.0, 2, 53.0)\n", "(0.3, 53.0, 2, 200.0)\n", "---\n", "(1.35, 51.0, 2, 51.0)\n", "(1.5, 51.0, 2, -200.0)\n", "---\n", "(2.85, 49.0, 2, 49.0)\n", "(0.425, 49.0, 2, -200.0)\n", "---\n", "(3.275, 48.0, 2, 48.0)\n", "(0.775, 48.0, 2, -100.0)\n", "---\n", "(4.05, 53.0, 1, 53.0)\n", "(0.2, 53.0, 1, 500.0)\n", "---\n", "(4.25, 49.0, 2, 49.0)\n", "(0.35, 49.0, 2, -400.0)\n", "---\n", "(4.6, 51.0, 1, 51.0)\n", "(0.375, 51.0, 1, 200.0)\n", "---\n", "(4.975, 51.0, 2, 51.0)\n", "(0.675, 51.0, 2, 0.0)\n", "---\n", "(5.65, 51.0, 2, 51.0)\n", "(1.15, 51.0, 2, 0.0)\n", "---\n", "(6.8, 48.0, 2, 48.0)\n", "(0.25, 48.0, 2, -300.0)\n", "---\n", "(7.05, 53.0, 0, 53.0)\n", "(0.725, 53.0, 0, 500.0)\n", "---\n", "(7.775, 51.0, 2, 51.0)\n", "(0.325, 51.0, 2, -200.0)\n", "---\n", 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confidence[t_min:]]\n", "s_confidence = savgol_filter(f_confidence, 30, 4)\n", "\n", "def freqs_to_midi(freqs, confs):\n", " last_confident_value = 51\n", " for f, c in zip(freqs, confs):\n", " if c > 0.9:\n", " last_confident_value = librosa.hz_to_midi(f)\n", " yield last_confident_value\n", "\n", "def snap_midi(midi):\n", " r_midi = np.around(midi)\n", " s_midi = np.around(savgol_filter(midi, 30, 5))\n", " last_val = s_midi[0]\n", " for i, (r1, r2) in enumerate(pairwise(r_midi)):\n", " if r1 != r2:\n", " last_val = s_midi[i+5]\n", " yield last_val\n", " yield last_val\n", "\n", "def filter_midi(midi):\n", "\n", " def integrate(midi):\n", " print(len(midi) / 40)\n", " for imx, m in enumerate(midi):\n", " if m != midi[imx - 1] or imx == 0:\n", " if imx == 0:\n", " ins = 2\n", " val = m[2]\n", " last_val = val\n", " else:\n", " ins = [pmx for pmx, p in enumerate(m) if p != midi[imx - 1][pmx]][0]\n", " val = m[ins]\n", "\n", " note_dur = 0\n", " #print(ins)\n", " #print(val)\n", " while imx + note_dur < len(midi) and midi[imx + note_dur][ins] == val:\n", " note_dur += 1\n", "\n", " if note_dur >= 10:\n", " if False:\n", " yield (imx / 40.0, val, ins, None)\n", " else:\n", " dev = val - last_val\n", " \n", " print (imx / 40.0, val, ins, val)\n", " print(note_dur / 40.0)\n", " yield (imx / 40.0, val, ins, val)\n", " \n", " tail = randint(20, 40)\n", " if note_dur / 2 > tail and ins != 2:\n", " #if False:\n", " t_sum = 0\n", " while t_sum < tail:\n", " print(\"here\")\n", " print ((imx + note_dur - tail + t_sum) / 40, val, ins, None)\n", " print(note_dur / 40.0)\n", " if True:\n", " yield ((imx + note_dur - tail + t_sum) / 40, val, ins, None)\n", " t_sum += randint(10, 15)\n", " \n", " last_val = val\n", "\n", " def redifferentiate(sorted_midi):\n", " for imx, sm in enumerate(sorted_midi):\n", " print(\"---\")\n", " print(sm)\n", " if imx < len(sorted_midi) - 1:\n", " dur = round(sorted_midi[imx + 1][0] - sm[0], 3)\n", " else:\n", " dur = 1\n", " [val, ins] = sm[1:-1]\n", " dev = 0\n", " if imx == 0:\n", " dev = 0.0\n", " last_val = val\n", " elif sm[-1] == None:\n", " dev = None\n", " else:\n", " dev = (sm[-1] - last_val) * 100.0\n", " last_val = val\n", " print((dur, val, ins, dev))\n", " yield (dur, val, ins, dev)\n", "\n", " #print(midi)\n", " sorted_midi = sorted(integrate(midi))\n", " #for sm in sorted_midi:\n", " # print(sm)\n", " redifferentiated_midi = redifferentiate(sorted_midi)\n", " print(midi)\n", " return redifferentiated_midi\n", "\n", "midi = list(freqs_to_midi(f_frequency, f_confidence))\n", "midi = tuple(snap_midi(midi))\n", "\n", "fs = 2351 # sample rate \n", "f = 20 # the frequency of the signal\n", "\n", "#midi = zip(\n", "# tuple(midi[0] - 24 for i in range(4 * 40)) + tuple(chain(*tuple([m - 24 for r in range(int(1 - np.sin(2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n", "# tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(int(1 - np.sin(2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n", "# tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi))))\n", "#)\n", "print(list(midi))\n", "midi = zip(\n", " tuple(midi[0] - 0 for i in range(6 * 40)) + tuple(chain(*tuple([m - 0 for r in range(int(1 - np.sin(0.5 * np.pi + 2*np.pi*14 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n", " tuple(midi[0] - 0 for i in range(3 * 40)) + tuple(chain(*tuple([m - 0 for r in range(int(1 - np.sin(0.5 * np.pi + 2*np.pi*12 * (imx/fs))) * 2 + 1)] for imx, m in enumerate(midi)))),\n", " tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*10 * (imx/fs))) * 0 + 1)] for imx, m in enumerate(midi))))\n", ")\n", "\n", "target_melody_data = list(filter_midi(list(midi)))\n", "target_melody_data\n" ] }, { "cell_type": "code", "execution_count": 78, "id": "c0fe94a3-10f3-4539-9161-b74bbfbd5562", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting pretty-midi\n", " Using cached pretty_midi-0.2.10.tar.gz (5.6 MB)\n", " Preparing metadata (setup.py) ... \u001b[?25ldone\n", "\u001b[?25hRequirement already satisfied: numpy>=1.7.0 in /home/mwinter/python_envs/compact_sets/lib/python3.11/site-packages (from pretty-midi) (1.26.4)\n", "Collecting mido>=1.1.16 (from pretty-midi)\n", " Downloading mido-1.3.2-py3-none-any.whl.metadata (6.4 kB)\n", "Requirement already satisfied: six in /home/mwinter/python_envs/compact_sets/lib/python3.11/site-packages (from pretty-midi) (1.16.0)\n", "Collecting packaging~=23.1 (from mido>=1.1.16->pretty-midi)\n", " Downloading packaging-23.2-py3-none-any.whl.metadata (3.2 kB)\n", "Downloading mido-1.3.2-py3-none-any.whl (54 kB)\n", "\u001b[2K \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m54.6/54.6 kB\u001b[0m \u001b[31m3.0 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n", "\u001b[?25hDownloading packaging-23.2-py3-none-any.whl (53 kB)\n", "\u001b[2K \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m53.0/53.0 kB\u001b[0m \u001b[31m7.3 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n", "\u001b[?25hBuilding wheels for collected packages: pretty-midi\n", " Building wheel for pretty-midi (setup.py) ... \u001b[?25ldone\n", "\u001b[?25h Created wheel for pretty-midi: filename=pretty_midi-0.2.10-py3-none-any.whl size=5592289 sha256=a0463f41638e81a9a9b614dbeaf824e00b96bce9e004a3100eebe34e1e5d62a1\n", " Stored in directory: /home/mwinter/.cache/pip/wheels/e6/95/ac/15ceaeb2823b04d8e638fd1495357adb8d26c00ccac9d7782e\n", "Successfully built pretty-midi\n", "Installing collected packages: packaging, mido, pretty-midi\n", " Attempting uninstall: packaging\n", " Found existing installation: packaging 24.0\n", " Uninstalling packaging-24.0:\n", " Successfully uninstalled packaging-24.0\n", "Successfully installed mido-1.3.2 packaging-23.2 pretty-midi-0.2.10\n", "\n", "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m24.0\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m24.1.1\u001b[0m\n", "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49m/home/mwinter/python_envs/compact_sets/bin/python -m pip install --upgrade pip\u001b[0m\n", "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "pip install pretty-midi" ] }, { "cell_type": "code", "execution_count": 642, "id": "588ff0f3-f3f1-41ae-be41-b331866d1c82", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1150\n", "23206\n", "[51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 51.0, 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" (0.25, 56.0, 0, None),\n", " (0.25, 49.0, 2, None),\n", " (0.25, 49.0, 1, None),\n", " (0.25, 54.0, 2, -200.0),\n", " (0.25, 56.0, 0, None),\n", " (0.25, 49.0, 1, None),\n", " (0.25, 51.0, 1, -300.0),\n", " (0.25, 51.0, 0, 0.0),\n", " (0.25, 54.0, 2, 300.0),\n", " (0.25, 58.0, 2, 400.0),\n", " ...]" ] }, "execution_count": 642, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import csv\n", "import pretty_midi\n", "import math\n", "midi = []\n", "\n", "def format_csv(file):\n", " with open(file) as csvfile:\n", " length = 500\n", " data = list(csv.DictReader(csvfile))[0:length]\n", " for dmx, val in enumerate(data[:length-1]):\n", " dur = float(data[dmx+1]['start_time']) - float(val['start_time'])\n", " #print(dur)\n", " for i in range(int(dur / 0.025)):\n", " yield(float(val['pitch']))\n", " for i in range(int(1 / 0.025)):\n", " yield(float(data[length-1]['pitch']))\n", "\n", "\n", "def format_midifile(file):\n", " midi_data = pretty_midi.PrettyMIDI(file)\n", " ins = midi_data.instruments[0]\n", " notes = ins.notes;\n", " print(len(notes))\n", " for dmx, val in enumerate(notes[:len(notes)-1]):\n", " dur = float(notes[dmx+1].start) - float(val.start)\n", " #print(dur)\n", " for i in range(int(dur / 0.025)):\n", " yield(float(val.pitch))\n", " for i in range(int(1 / 0.025)):\n", " yield(float(notes[len(notes)-1].pitch))\n", "\n", "def filter_midi(midi):\n", "\n", " def nearest_quarter(x):\n", " return round(x*4)/4\n", " #return math.ceil(x*4)/4\n", "\n", " def integrate(midi):\n", " #print(len(midi) / 40)\n", " for imx, m in enumerate(midi):\n", " if m != midi[imx - 1] or imx == 0:\n", " if imx == 0:\n", " ins = 2\n", " val = m[2]\n", " last_val = val\n", " else:\n", " ins = [pmx for pmx, p in enumerate(m) if p != midi[imx - 1][pmx]][0]\n", " val = m[ins]\n", "\n", " note_dur = 0\n", " #print(ins)\n", " #print(val)\n", " while imx + note_dur < len(midi) and midi[imx + note_dur][ins] == val:\n", " note_dur += 1\n", "\n", " if note_dur >= 10:\n", " if False:\n", " yield (imx / 40.0, val, ins, None)\n", " else:\n", " dev = val - last_val\n", " \n", " #print (imx / 40.0, val, ins, val)\n", " #print(note_dur / 40.0)\n", " yield (imx / 40.0, val, ins, val)\n", " \n", " tail = randint(20, 40)\n", " if note_dur / 2 > tail:# and ins != 0:\n", " #if False:\n", " t_sum = 0\n", " while t_sum < tail:\n", " #print(\"here\")\n", " #print ((imx + note_dur - tail + t_sum) / 40, val, ins, None)\n", " #print(note_dur / 40.0)\n", " if True:\n", " yield ((imx + note_dur - tail + t_sum) / 40, val, ins, None)\n", " t_sum += randint(10, 15)\n", " \n", " last_val = val\n", " #else:\n", " # yield (10 / 40.0, val, ins, val)\n", "\n", " def redifferentiate(sorted_midi):\n", " for imx, sm in enumerate(sorted_midi):\n", " #print(\"---\")\n", " #print(sm)\n", " if imx < len(sorted_midi) - 1:\n", " #dur = round(sorted_midi[imx + 1][0] - sm[0], 3)\n", " dur = max([0.25, nearest_quarter(sorted_midi[imx + 1][0] - sm[0])])\n", " #dur = nearest_quarter(sorted_midi[imx + 1][0] - sm[0])\n", " else:\n", " dur = 1\n", " [val, ins] = sm[1:-1]\n", " dev = 0\n", " if imx == 0:\n", " dev = 0.0\n", " last_val = val\n", " elif sm[-1] == None:\n", " dev = None\n", " else:\n", " dev = (sm[-1] - last_val) * 100.0\n", " last_val = val\n", " #print((dur, val, ins, dev))\n", " if(dur == 0):\n", " print((dur, val, ins, dev))\n", " yield (dur, val, ins, dev)\n", "\n", " #print(midi)\n", " sorted_midi = sorted(integrate(midi))\n", " #for sm in sorted_midi:\n", " # print(sm)\n", " redifferentiated_midi = redifferentiate(sorted_midi)\n", " #print(midi)\n", " return redifferentiated_midi\n", "\n", "#midi = list(format_csv('bereshit_chant_f0.csv'))\n", "midi = list(format_midifile('bereshit_chant.mid')) #definitely better with this\n", "print(len(midi))\n", "print(midi)\n", "\n", "osc = 20000\n", "midi = zip(\n", " tuple(midi[0] - 0 for i in range(6 * 40)) + tuple(chain(*tuple([m - 0 for r in range(int(1 - np.sin(0.5 * np.pi + 2*np.pi*10 * (imx/osc))) * 4 + 1)] for imx, m in enumerate(midi)))),\n", " tuple(midi[0] - 0 for i in range(3 * 40)) + tuple(chain(*tuple([m - 0 for r in range(int(1 - np.sin(0.5 * np.pi + 2*np.pi*10 * (imx/osc))) * 1 + 1)] for imx, m in enumerate(midi)))),\n", " tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*16 * (imx/osc))) * 0 + 1)] for imx, m in enumerate(midi))))\n", ")\n", "\n", "target_melody_data = list(filter_midi(list(midi)))\n", "target_melody_data" ] }, { "cell_type": "code", "execution_count": 643, "id": "c1e314cf-c928-4df5-b0da-8a7b13b2225f", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-701.9550008653874, -203.91000173077484, 0]\n", "2\n", "None\n", "(2, 0, 0, 0)\n", "(2, -2, 0, 0)\n", "(2, -1, 1, 0)\n", "(2, -1, -1, 0)\n", "(2, -1, 0, 1)\n", "(2, -1, 0, -1)\n", "(0, 1, 0, 0)\n", "(0, -1, 0, 0)\n", "(0, 0, 1, 0)\n", "(0, 0, -1, 0)\n", "(0, 0, 0, 1)\n", "(0, 0, 0, -1)\n", "here\n", "True\n", 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"False\n", "False\n", "(((-5, 0, 1, 1), (-8, 0, 1, 2), (-8, -1, 2, 2)), ((-6, 0, 1, 1), (-8, 0, 1, 2), (-8, -1, 2, 2)), ((-5, 0, 1, 1), (-8, 0, 1, 2), (-8, -1, 2, 2)), ((-5, 0, 1, 1), (-8, 0, 1, 2), (-5, 0, 1, 1)), ((-5, 0, 1, 1), (-3, 0, 0, 1), (-5, 0, 1, 1)), ((-5, 0, 1, 1), (-3, 0, 0, 1), (-4, 1, 0, 1)), ((-5, 0, 1, 1), (-7, 1, 1, 1), (-4, 1, 0, 1)), ((-6, 2, 0, 1), (-7, 1, 1, 1), (-4, 1, 0, 1)), ((-3, 0, 0, 1), (-7, 1, 1, 1), (-4, 1, 0, 1)), ((-3, 0, 0, 1), (-1, 1, 0, 0), (-4, 1, 0, 1)))\n", "[-735.084095261649, -846.8153805314284, -33.129094396261735]\n", "((-3, 0, 0, 1), (-7, 1, 1, 1), (-4, 1, 0, 1))\n", "((-3, 0, 0, 1), (-1, 1, 0, 0), (-4, 1, 0, 1))\n", "[-935.084095261649, -1.9550008653882287, -233.12909439626173]\n", "[-231.1740935308751, -342.90537880065284, 470.7809073345124]\n", "[-231.1740935308751, 701.9550008653874, 470.7809073345124]\n", "0\n", "None\n", "(1, 0, 0, 0)\n", "(1, -2, 0, 0)\n", "(1, -1, 1, 0)\n", "(1, -1, -1, 0)\n", "(1, -1, 0, 1)\n", "(1, -1, 0, -1)\n", "(4, 0, 0, -1)\n", "(4, -2, 0, -1)\n", "(4, -1, 1, -1)\n", "(4, -1, -1, -1)\n", "(4, -1, 0, 0)\n", "(4, -1, 0, -2)\n", "here\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "True\n", "False\n", "False\n", "False\n", "False\n", "False\n", "False\n", "True\n", "True\n", "False\n", "False\n", "(((-6, 0, 1, 1), (-8, 0, 1, 2), (-8, -1, 2, 2)), ((-5, 0, 1, 1), (-8, 0, 1, 2), (-8, -1, 2, 2)), ((-5, 0, 1, 1), (-8, 0, 1, 2), (-5, 0, 1, 1)), ((-5, 0, 1, 1), (-3, 0, 0, 1), (-5, 0, 1, 1)), ((-5, 0, 1, 1), (-3, 0, 0, 1), (-4, 1, 0, 1)), ((-5, 0, 1, 1), (-7, 1, 1, 1), (-4, 1, 0, 1)), ((-6, 2, 0, 1), (-7, 1, 1, 1), (-4, 1, 0, 1)), ((-3, 0, 0, 1), (-7, 1, 1, 1), (-4, 1, 0, 1)), ((-3, 0, 0, 1), (-1, 1, 0, 0), (-4, 1, 0, 1)), ((-4, 1, 1, 0), (-1, 1, 0, 0), (-4, 1, 0, 1)))\n", "[-935.084095261649, -1.9550008653882287, -233.12909439626173]\n", "((-3, 0, 0, 1), (-1, 1, 0, 0), (-4, 1, 0, 1))\n", "((-4, 1, 1, 0), (-1, 1, 0, 0), (-4, 1, 0, 1))\n", "[-815.6412870005518, -1.9550008653882287, -233.12909439626173]\n", "[-231.1740935308751, 701.9550008653874, 470.7809073345124]\n", "[-111.73128526977777, 701.9550008653874, 470.7809073345124]\n" ] } ], "source": [ "seed(19541116)\n", "factors = []\n", "dims = (2, 3, 5, 7)\n", "root = (0, 0, 0, 0)\n", "start_chord = ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n", "path = stochastic_hamiltonian(start_chord)\n", "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n", "durs = tuple(d[0] for d in target_melody_data)\n", "#path_to_chords(path, root)\n", "write_chord_sequence(list(zip(durs, path_to_chords(path, root))), \"breysheet.txt\")" ] }, { "cell_type": "markdown", "id": "85eda9de-ad78-4009-bf0e-c4d45e806bc4", "metadata": {}, "source": [ "## function-based approach" ] }, { "cell_type": "markdown", "id": "0c249f37-5fd5-45d3-9f52-313dd9ae3250", "metadata": {}, "source": [ "### path functions" ] }, { "cell_type": "markdown", "id": "df57f38b-be7a-4cac-b0af-33b36c97f388", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "#### legacy" ] }, { "cell_type": "code", "execution_count": 15, "id": "57c834bf-fee7-4ef4-b648-2173099fbb56", "metadata": {}, "outputs": [], "source": [ "from random import choice, choices\n", "\n", "def hd_sum(chord):\n", " distances = []\n", " size = len(chord)\n", " for i in range(size):\n", " for j in range(i+1, size):\n", " distances += [sum([abs(dist) * log(dims[idx], 2) for idx, dist in enumerate(pitch_difference(chord[i], chord[j]))])]\n", " return sum(distances)\n", " \n", "def next_edges(source, last_chords): \n", "\n", " def transpose_to_nearest(hs_array1, hs_array2):\n", " expanded_pitch = hs_array2\n", " frequency_ratio = hs_array_to_fr(list(hs_array2)) / hs_array_to_fr(list(hs_array1))\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 gen_candidates(chord, last_chords):\n", " for sdx, s_pitch in enumerate(chord):\n", " for cdx, c_pitch in enumerate(chord):\n", " if cdx != sdx: \n", " for ddx, dim in enumerate(c_pitch[1:]):\n", " for alt in [-1, 1]:\n", " new_pitch = list(c_pitch)\n", " new_pitch[ddx+1] += alt\n", " new_pitch_up = transpose_to_nearest(s_pitch, new_pitch)\n", " new_chord_up = list(chord)\n", " new_chord_up[sdx] = tuple(new_pitch_up)\n", " #print(\"here\")\n", " #print(new_pitch_up)\n", " #print(tuple(l[sdx] for l in last_chords))\n", " #print(new_pitch_up not in tuple(l[sdx] for l in last_chords))\n", " \n", " #if tuple(new_chord_up) != chord and (tuple(new_pitch_up) not in tuple(l[sdx] for l in last_chords)) and max(new_pitch_up[1:]) <= 1 and min(new_pitch_up[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n", " if tuple(new_chord_up) != chord and max(new_pitch_up[1:]) <= 1 and min(new_pitch_up[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n", " #if tuple(new_chord_up) != chord and tuple(new_pitch_up) not in tuple(l[sdx] for l in last_chords):\n", " #if tuple(new_chord_up) != chord:\n", " yield tuple(new_chord_up)\n", "\n", " new_pitch_down = list(new_pitch_up)\n", " new_pitch_down[0] += -1\n", " new_chord_down = list(chord)\n", " new_chord_down[sdx] = tuple(new_pitch_down)\n", "\n", " #print(\"here2\")\n", " #print(new_pitch_down)\n", " #print(tuple(l[sdx] for l in last_chords))\n", " #print(new_pitch_down not in tuple(l[sdx] for l in last_chords))\n", " #if tuple(new_chord_down) != chord:\n", " #if tuple(new_chord_down) != chord and new_pitch_down not in tuple(l[sdx] for l in last_chords):\n", " if tuple(new_chord_down) != chord and max(new_pitch_down[1:]) <= 1 and min(new_pitch_down[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n", " #if tuple(new_chord_down) != chord and (tuple(new_pitch_down) not in tuple(l[sdx] for l in last_chords)) and max(new_pitch_down[1:]) <= 1 and min(new_pitch_down[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n", " yield tuple(new_chord_down)\n", "\n", " for candidate in gen_candidates(source, last_chords):\n", "\n", " movements = {\n", " pitch:\n", " {\n", " 'destination': candidate[index], \n", " 'cent_difference': cent_difference(pitch, candidate[index])\n", " } for index, pitch in enumerate(source)}\n", " \n", " yield (tuple(source), tuple(candidate), {'transposition': root, 'movements': movements},)\n", "\n", "\n", "# This is for the beginning / breysheet - redone to calculate next chord as a function and not from the graph\n", "def stochastic_hamiltonian(root):\n", "\n", " #try making this omit the moving voice\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", " for e in edges:\n", " yield 100 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) >= 50) else 1/pow(1.1, max_cent_diff(e))\n", "\n", " def hamiltonian_weights(edges):\n", " for e in edges:\n", " yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\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", " for e in edges:\n", " yield 2 if is_contrary(e) else 1\n", " \n", " def is_directly_tunable_weights(edges):\n", " for e in edges:\n", " yield 10 if e[2]['is_directly_tunable'] else 1\n", "\n", " def symdiff_weights(edges):\n", " for e in edges:\n", " yield 1000 if e[2]['symmetric_difference'] == 2 else 1\n", "\n", " def transposition_weight(edges):\n", " for e in edges:\n", " yield 100 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 1\n", "\n", " def in_range(edges):\n", " for e in edges:\n", " s_chord = sorted(e[1], key=hs_array_to_fr)\n", " yield 5 if hs_array_to_fr(sorted(e[1], key=hs_array_to_fr)[0]) >= 0.25 else 0\n", "\n", " def hd_weight(edges):\n", " for e in edges:\n", " yield 100 * (1/pow(hd_sum(e[1]), 2))\n", "\n", " def permission_weight(edges, allowed_ins):\n", " print(\"here\")\n", " print(allowed_ins)\n", " print(\"---\")\n", " for e in edges:\n", " diff = [ibx for ibx, pitch in enumerate(e[0]) if pitch != e[1][ibx]][0]\n", " yield 1 if diff in allowed_ins else 0\n", "\n", " def dca_weight(edges, ins, last_chords):\n", " for e in edges:\n", " #print(tuple(e[1][ins]))\n", " #print(ins)\n", " #print(tuple(l[ins] for l in last_chords))\n", " diff_e = [i for i, item in enumerate(e[0]) if item != e[1][i]][0]\n", " if ins == diff_e:\n", " yield 1\n", " else:\n", " yield 100 if tuple(e[1][diff_e]) not in tuple(l[diff_e] for l in last_chords) else 0\n", "\n", " def is_sustained_voice(edges, voice):\n", " \n", " def is_sustained(edge):\n", " source = list(edge[0])\n", " ordered_source = sorted(source, key=hs_array_to_fr) \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", " return ordered_source[voice] == ordered_destination[voice]\n", "\n", " for e in edges:\n", " yield 10 if is_sustained(e) else 1\n", "\n", " def favor_bass(edges, ins):\n", "\n", " def ins_check(edge, ins):\n", " source = list(edge[0])\n", " ordered_source = sorted(source, key=hs_array_to_fr) \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", " if ins == 2:\n", " return 1\n", " elif ins == 1 and ordered_source[0] != ordered_destination[0]:\n", " return 1\n", " else:\n", " return 0\n", "\n", " for e in edges:\n", " yield ins_check(e, ins)\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", " return source_order != destination_order\n", "\n", " for e in edges:\n", " yield 10 if not has_voice_crossing(e) else 0\n", "\n", " def is_bass_rooted(chord):\n", " return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n", "\n", " def target_melody_weights(edges, target, c_devs, voice):\n", "\n", " def target_weight(edge, target, c_devs, voice):\n", " candidate_diffs = []\n", " for idx, dev in enumerate(c_devs):\n", " if(idx == voice):\n", " source = list(edge[0])\n", " ordered_source = sorted(source, key=hs_array_to_fr) \n", " candidate_diff = edge[2]['movements'][ordered_source[idx]]['cent_difference']\n", " candidate_diffs += [abs(dev + candidate_diff - target)]\n", " #return 1/pow(1.1, min(candidate_diffs))\n", " return 100 if min(candidate_diffs) < 40 else 1/pow(1.1, min(candidate_diffs))\n", " \n", " for e in edges:\n", " yield target_weight(e, target, c_devs, voice)\n", " \n", " #check_graph = graph.copy()\n", " #next_node = choice(list(graph.nodes()))\n", " next_node = ((-2, 0, 0, 0, 0, 0), (-1, 0, 0, 0, 0, 0), (-3, 0, 0, 0, 1, 0))\n", " #check_graph.remove_node(next_node)\n", " #for node in graph.nodes(data=True):\n", " # node[1]['count'] = 1\n", " path = []\n", " s_next_node = sorted(next_node, key=hs_array_to_fr)\n", " last_chords = (tuple(s_next_node),)\n", " c_devs = (cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0,)\n", " #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n", " print(c_devs)\n", " #while (nx.number_of_nodes(check_graph) > 0) and (len(path) < len(target_melody_data)-1):\n", " while (len(path) < len(target_melody_data)-1):\n", " #out_edges = list(graph.out_edges(next_node, data=True))\n", " out_edges = list(next_edges(next_node, last_chords))\n", " target = target_melody_data[len(path)+1][-1]\n", " ins = target_melody_data[len(path)+1][2]\n", " print(target)\n", " print(ins)\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", " #transposition_weight(out_edges),\n", " #is_sustained_voice(out_edges, 0),\n", " target_melody_weights(out_edges, target, c_devs, ins),\n", " #symdiff_weights(out_edges),\n", " hd_weight(out_edges),\n", " dca_weight(out_edges, ins, last_chords),\n", " permission_weight(out_edges, target_melody_data[len(path)+1][3])\n", " #favor_bass(out_edges, ins),\n", " #in_range(out_edges)\n", " ]\n", " weights = [prod(a) for a in zip(*factors)]\n", " if sum(weights) != 0:\n", " edge = choices(out_edges, weights=weights)[0]\n", " else:\n", " movements = {\n", " pitch:\n", " {\n", " 'destination': pitch, \n", " 'cent_difference': 0\n", " } for index, pitch in enumerate(edge[1])}\n", " edge = (edge[1], edge[1], {'transposition': (0, 0, 0, 0, 0, 0), 'movements': movements},)\n", " \n", " next_node = edge[1]\n", " last_chords = last_chords + (next_node,)\n", " if len(last_chords) > 10:\n", " last_chords = last_chords[-10:]\n", " print(last_chords)\n", " #node[1]['count'] += 1\n", " path.append(edge)\n", " s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n", " print(c_devs)\n", " #for pdx, pitch in enumerate(s_chord):\n", " # print(\"here\")\n", " # print(c_devs[pdx])\n", " # print(edge[2]['movements'][pitch]['cent_difference'])\n", " # print(target_melody_data[len(path)][-1])\n", " if sum(weights) != 0:\n", " c_devs = tuple(c_devs[pdx] + edge[2]['movements'][pitch]['cent_difference'] - target_melody_data[len(path)][-1] for pdx, pitch in enumerate(s_chord))\n", " print(s_chord)\n", " print(edge[1])\n", " print(c_devs)\n", " print(target_melody_data[len(path)][2])\n", " print(target_melody_data[len(path)][-1])\n", " #if next_node in check_graph.nodes:\n", " # check_graph.remove_node(next_node)\n", " return path" ] }, { "cell_type": "markdown", "id": "24267739-0381-4651-8804-4b4665592de2", "metadata": {}, "source": [ "#### cleanup (this is what is being used)" ] }, { "cell_type": "code", "execution_count": 656, "id": "81f20bd9-e87a-4918-a61b-27b04b6d5aee", "metadata": {}, "outputs": [], "source": [ "from random import choice, choices\n", "\n", "def path_to_chords(path, start_root):\n", " current_root = start_root\n", " start_chord = tuple(sorted(path[0][0], key=hs_array_to_fr))\n", " chords = (start_chord,)\n", " for edge in path:\n", " chords += (edge[1],)\n", " return chords\n", " \n", "def next_edges(source, ins, dev_target): \n", "\n", " def transpose_to_nearest(hs_array1, hs_array2):\n", " expanded_pitch = hs_array2\n", " frequency_ratio = hs_array_to_fr(list(hs_array2)) / hs_array_to_fr(list(hs_array1))\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", "\n", " def gen_candidates(chord, ins, dev_target):\n", " sustain = ((0, 0, 0, 0), (-1, 1, 0, 0)) #, (-1, 0, 1, 0), (-2, 0, 0, 1))\n", " refs = chord\n", " #if ins == 2:\n", " refs += sustain\n", " #if ins != 2:\n", " # sustain = sustain + (chord[2],)\n", " for cdx, c_pitch in enumerate(chord):\n", " if cdx != ins: \n", " #if True:\n", " enumerator = c_pitch[1:] # if dev_target != None else c_pitch[1:-1]\n", " for ddx, dim in enumerate(enumerator):\n", " alts = [-1, 1] #if dev_target != None else [1]\n", " #alts = [-1, 1] if choices([True, False], weights=[1, 3]) else [1]\n", " for alt in alts:\n", " new_pitch = list(c_pitch)\n", " new_pitch[ddx+1] += alt\n", " print(pitch_difference(sustain[0], new_pitch))\n", " \n", " s_pitch = chord[ins]\n", " new_pitch = transpose_to_nearest(s_pitch, new_pitch)\n", " for octave in range(-1, 2):\n", " \n", " f_new_pitch = list(new_pitch)\n", " f_new_pitch[0] += octave\n", " f_chord = list(chord)\n", " f_chord[ins] = tuple(f_new_pitch)\n", "\n", " limit_test_vals = [v for d in list(zip(*f_chord))[1:] for v in d]\n", " sum_test_vals = [sum(p[1:]) for p in f_chord]\n", " if tuple(f_chord) != chord and chord and max(limit_test_vals) <= 2 and min(limit_test_vals) >= -1 and max(sum_test_vals) <= 3:\n", " if tuple(f_chord) != chord and max([abs(hs_array_to_cents(tp)) for tp in f_chord]) < 1200: # and len(set(f_chord)) == 3:\n", " #print(f_chord)\n", " yield tuple(f_chord)\n", " \n", " for candidate in gen_candidates(source, ins, dev_target):\n", " yield (tuple(source), tuple(candidate), tuple(cent_difference(pitch, candidate[index]) for index, pitch in enumerate(source)))\n", "\n", "def hd_sum(chord):\n", " distances = []\n", " size = len(chord)\n", " for i in range(size):\n", " for j in range(i+1, size):\n", " distances += [sum([abs(dist) * log(dims[1:][idx], 2) for idx, dist in enumerate(pitch_difference(chord[i][1:], chord[j][1:]))])]\n", " return sum(distances)\n", "\n", "# This is for the beginning / breysheet - redone to calculate next chord as a function and not from the graph\n", "def stochastic_hamiltonian(start_chord):\n", "\n", " def movement_size_weights(edges, ins):\n", " \n", " def cent_diff(edge):\n", " return abs(edge[2][ins])\n", " \n", " for e in edges:\n", " yield 100 if (cent_diff(e) < 250) and (cent_diff(e) >= 50) else 1/pow(cent_diff(e), 1)\n", "\n", " def in_range(edges):\n", " for e in edges:\n", " s_chord = sorted(e[1], key=hs_array_to_fr)\n", " yield 1 if hs_array_to_fr(sorted(e[1], key=hs_array_to_fr)[0]) >= 0.25 else 0\n", "\n", " def hd_weight(edges):\n", " for e in edges:\n", " cand_hd_sum = hd_sum(e[1])\n", " yield (1/pow(cand_hd_sum, 1)) if cand_hd_sum > 0 else 0\n", "\n", " def dca_weight(edges, ins, dev, last_chords):\n", " for e in edges:\n", " if False:\n", " yield 1\n", " else:\n", " yield 5 if tuple(e[1][ins]) not in tuple(l[ins] for l in last_chords) else 0\n", " #yield 5 if tuple(e[1][ins][1:]) not in tuple(p[1:] for chord in last_chords for p in chord) else 0\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 = list(edge[1])\n", " ordered_destination = sorted(destination, key=hs_array_to_fr)\n", " destination_order = [ordered_destination.index(p) for p in destination]\n", " return source_order != destination_order\n", "\n", " for e in edges:\n", " yield 1 if not has_voice_crossing(e) else 0\n", "\n", " def normalize_sum(array):\n", " if sum(array) != 0:\n", " return [val / sum(array) for val in array]\n", " else:\n", " return [0 for val in array]\n", "\n", " def normalize(array):\n", " if len(set(array)) > 1:\n", " max_value = max(array)\n", " min_value = min(array)\n", " return [(((val - min_value) / (max_value - min_value)) * 0.9 + 0.1) for val in array]\n", " else:\n", " return [1 for val in array]\n", "\n", " def registration_weights(edges):\n", "\n", " def reg_min(edge):\n", " # confusing naming convention I know\n", " collapsed_chord = expand_chord(edge[1])\n", " return min(hs_array_to_cents(pair[1]) - hs_array_to_cents(pair[0]) for pair in pairwise(sorted(collapsed_chord, key=hs_array_to_cents)))\n", "\n", " return [10 if reg_min(e) > 270 else 1 for e in edges]\n", "\n", " def target_melody_weights(edges, target_dev, c_devs, ins):\n", "\n", " def candidate_diff(edge, target_dev, c_devs, ins): \n", " if target_dev != None:\n", " return abs(c_devs[ins] + edge[2][ins] - target_dev)\n", " else:\n", " return 1\n", "\n", " if target_dev != None:\n", " #for edge in edges:\n", " # print(edge[1])\n", " # print(candidate_diff(edge, target_dev, c_devs, ins))\n", " diffs = [candidate_diff(edge, target_dev, c_devs, ins) for edge in edges]\n", " min_diff = min(diffs)\n", " #print([1 if diff == min_diff else 0 for diff in diffs])\n", " return [1 if diff == min_diff else 0 for diff in diffs]\n", " else:\n", " return [1 for edge in edges]\n", "\n", "\n", " def harmonic_contraint_weight(edges, ins):\n", "\n", " def within_contraint(edge, ins):\n", " sustain = ((0, 0, 0, 0), (-1, 1, 0, 0))\n", " print(sum([abs(diff) for diff in pitch_difference(sustain[0][1:], edge[1][ins][1:])]) <= 1 or sum([abs(diff) for diff in pitch_difference(sustain[1][1:], edge[1][ins][1:])]) <= 1)\n", " return sum([abs(diff) for diff in pitch_difference(sustain[0][1:], edge[1][ins][1:])]) <= 1 or sum([abs(diff) for diff in pitch_difference(sustain[1][1:], edge[1][ins][1:])]) <= 1\n", "\n", " for e in edges:\n", " yield 10 if within_contraint(e, ins) else 1\n", " \n", " next_node = start_chord\n", " path = []\n", " s_next_node = sorted(next_node, key=hs_array_to_fr)\n", " last_chords = (tuple(s_next_node),)\n", " unison = tuple(0 for p in start_chord[0])\n", " c_devs = [cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0]\n", " #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n", " print(c_devs)\n", " for dur, val, ins, dev in target_melody_data[1:]:\n", " print(ins)\n", " print(dev)\n", " out_edges = list(next_edges(next_node, ins, dev))\n", " print(\"here\")\n", " #print(list(target_melody_weights(out_edges, dev, c_devs, ins)))\n", " #print(max(list(target_melody_weights(out_edges, dev, c_devs, ins))))\n", " factors = [\n", " list(movement_size_weights(out_edges, ins)), \n", " list(voice_crossing_weights(out_edges)),\n", " list(target_melody_weights(out_edges, dev, c_devs, ins)),\n", " list(hd_weight(out_edges)),\n", " list(dca_weight(out_edges, ins, dev, last_chords)),\n", " list(registration_weights(out_edges)),\n", " list(harmonic_contraint_weight(out_edges, ins))\n", " ]\n", " weights = [100, 0, 10, 10000, 100, 1000, 1000]\n", " #if (ins == 2 and dev != None) or (ins != 2 and dev != None and choices([True, False], weights=[1,1])[0]):\n", " if ins == 2: \n", " skip_weights = [2, 1]\n", " elif ins == 1:\n", " skip_weights = [2, 1]\n", " else:\n", " skip_weights = [2, 1]\n", " if (dev != None and choices([True, False], weights=skip_weights)[0]):\n", " weights[0] = 0\n", " weights[3] = 0\n", " weights[4] = 0\n", " #weights[5] = 0\n", " else:\n", " weights[2] = 0\n", "\n", " if dev == None:\n", " weights[2] = 0\n", " #print(factors)\n", " candidate_exists = sum([prod(a) for a in zip(*factors)]) != 0\n", " candidate_exists = True\n", " #print(\"here\")\n", " #print(factors)\n", " if candidate_exists: # and not (ins == 2 and dev == None):\n", " #norm_weights = [prod(a) for a in zip(*[[(f / sum(factor)) * weights[ifx] if f != 0 else 0 for f in list(factor)] for ifx, factor in enumerate(factors) if weights[ifx] != 0])]\n", " if False:\n", " norm_weights = target_melody_weights(out_edges, dev, c_devs, ins)\n", " else:\n", " norm_weights = [prod(a) for a in zip(*[[nf * weights[ifx] for nf in list(factor)] for ifx, factor in enumerate(factors) if weights[ifx] != 0])]\n", " #print(max(norm_weights))\n", " #print(norm_weights)\n", " edge = choices(out_edges, weights=norm_weights)[0]\n", " else:\n", " edge = (next_node, next_node, (0, 0, 0,))\n", "\n", " #if (ins == 0 or ins == 2) and dev == None:\n", " # edge = (next_node, next_node, (0, 0, 0,))\n", " \n", " next_node = edge[1]\n", " last_chords = last_chords + (next_node,)\n", " if len(last_chords) > 10:\n", " last_chords = last_chords[-10:]\n", " print(last_chords)\n", " path.append(edge)\n", " #s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n", " s_chord = edge[0]\n", " print(c_devs)\n", " if candidate_exists:\n", " if dev != None:\n", " c_devs = [c_devs[pdx] + edge[2][pdx] - dev for pdx, pitch in enumerate(s_chord)]\n", " else:\n", " c_devs[ins] += edge[2][ins]\n", " print(s_chord)\n", " print(edge[1])\n", " print(c_devs)\n", " print([hs_array_to_cents(pitch) for pitch in edge[0]])\n", " print([hs_array_to_cents(pitch) for pitch in edge[1]])\n", " return path" ] }, { "cell_type": "markdown", "id": "3102630d-3e61-4653-8482-4e50e0e26858", "metadata": {}, "source": [ "### model" ] }, { "cell_type": "code", "execution_count": 657, "id": "8912c650-a43d-4539-ae24-b5acf9bc543d", "metadata": 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1))\n", "[-815.6412870005518, -1.9550008653882287, -233.12909439626173]\n", "[-231.1740935308751, 701.9550008653874, 470.7809073345124]\n", "[-111.73128526977777, 701.9550008653874, 470.7809073345124]\n" ] } ], "source": [ "seed(19541116)\n", "factors = []\n", "dims = (2, 3, 5, 7)\n", "root = (0, 0, 0, 0)\n", "start_chord = ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n", "path = stochastic_hamiltonian(start_chord)\n", "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n", "durs = tuple(d[0] for d in target_melody_data)\n", "#path_to_chords(path, root)\n", "write_chord_sequence(list(zip(durs, path_to_chords(path, root))), \"breysheet.txt\")" ] }, { "cell_type": "code", "execution_count": 222, "id": "92d8c26f-071a-4510-86f0-6c4fe8bce72f", "metadata": {}, "outputs": [], "source": [ "for d in durs:\n", " if d == 0:\n", " print(d)" ] }, { "cell_type": "markdown", "id": "fe46a139-9c18-4e18-98d2-5b34a2ffb6ee", "metadata": { "jp-MarkdownHeadingCollapsed": true }, "source": [ "## graph based approach" ] }, { "cell_type": "markdown", "id": "046e48b9-7f25-4833-b0d9-c53963d164f4", "metadata": {}, "source": [ "### path functions" ] }, { "cell_type": "code", "execution_count": 379, "id": "b0d17cc2-a181-4212-aba5-72b90cab2a84", "metadata": {}, "outputs": [], "source": [ "from random import choice, choices\n", "\n", "# This is for the beginning / breysheet\n", "def stochastic_hamiltonian(graph):\n", "\n", " #try making this omit the moving voice\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", " for e in edges:\n", " yield 4 if ((max_cent_diff(e) < 300) and (min_cent_diff(e)) >= 0) else 1\n", "\n", " def hamiltonian_weights(edges):\n", " for e in edges:\n", " yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\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", " for e in edges:\n", " yield 2 if is_contrary(e) else 1\n", " \n", " def is_directly_tunable_weights(edges):\n", " for e in edges:\n", " yield 10 if e[2]['is_directly_tunable'] else 1\n", "\n", " def symdiff_weights(edges):\n", " for e in edges:\n", " yield 1000 if e[2]['symmetric_difference'] == 2 else 1\n", "\n", " def transposition_weight(edges):\n", " for e in edges:\n", " yield 100 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 1\n", "\n", " def is_sustained_voice(edges, voice):\n", " \n", " def is_sustained(edge):\n", " source = list(edge[0])\n", " ordered_source = sorted(source, key=hs_array_to_fr) \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", " return ordered_source[voice] == ordered_destination[voice]\n", "\n", " for e in edges:\n", " yield 10 if is_sustained(e) else 1\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", " return source_order != destination_order\n", "\n", " for e in edges:\n", " yield 10 if not has_voice_crossing(e) else 0\n", "\n", " def is_bass_rooted(chord):\n", " return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n", "\n", " def target_melody_weights(edges, target, c_devs, voice):\n", "\n", " def target_weight(edge, target, c_devs, voice):\n", " candidate_diffs = []\n", " for idx, dev in enumerate(c_devs):\n", " if(idx == voice):\n", " source = list(edge[0])\n", " ordered_source = sorted(source, key=hs_array_to_fr) \n", " candidate_diff = edge[2]['movements'][ordered_source[idx]]['cent_difference']\n", " candidate_diffs += [abs(dev + candidate_diff - target)]\n", " #return 1/pow(1.1, min(candidate_diffs))\n", " return 10 if min(candidate_diffs) < 40 else 1/pow(1.1, min(candidate_diffs))\n", " \n", " for e in edges:\n", " yield target_weight(e, target, c_devs, voice)\n", " \n", " check_graph = graph.copy()\n", " next_node = choice(list(graph.nodes()))\n", " check_graph.remove_node(next_node)\n", " for node in graph.nodes(data=True):\n", " node[1]['count'] = 1\n", " path = []\n", " s_next_node = sorted(next_node, key=hs_array_to_fr)\n", " c_devs = (cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0,)\n", " #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n", " print(c_devs)\n", " while (nx.number_of_nodes(check_graph) > 0) and (len(path) < len(target_melody_data)-1):\n", " out_edges = list(graph.out_edges(next_node, data=True))\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", " #transposition_weight(out_edges),\n", " #is_sustained_voice(out_edges, 0),\n", " target_melody_weights(out_edges, target_melody_data[len(path)+1][-1], c_devs, 2),\n", " #symdiff_weights(out_edges)\n", " ]\n", " weights = [prod(a) for a in zip(*factors)]\n", " edge = choices(out_edges, weights=weights)[0]\n", " next_node = edge[1]\n", " node[1]['count'] += 1\n", " path.append(edge)\n", " s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n", " c_devs = tuple(c_devs[pdx] + edge[2]['movements'][pitch]['cent_difference'] - target_melody_data[len(path)][-1] for pdx, pitch in enumerate(s_chord))\n", " print(s_chord)\n", " print(c_devs)\n", " print(target_melody_data[len(path)][-1])\n", " if next_node in check_graph.nodes:\n", " check_graph.remove_node(next_node)\n", " return path" ] }, { "cell_type": "markdown", "id": "5e4318db-bd43-434a-8c27-5a110e0bd6c4", "metadata": {}, "source": [ "### model" ] }, { "cell_type": "code", "execution_count": 374, "id": "a8592bc9-7e9e-4b6a-9eaa-4c4e3b69ce91", "metadata": {}, "outputs": [], "source": [ "dims = (2, 3, 5, 7)\n", "root = (0, 0, 0, 0)\n", "chord = (root,)\n", "chord_set = chords(chord, root, 3, 3)\n", "graph = 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0.325, 0.3, 0.15, 0.075, 0.525, 0.225, 2.275, 0.125, 0.025, 0.225, 0.025, 0.125, 0.25, 0.25, 0.8, 0.125, 0.325, 0.275, 0.375, 0.425, 0.125, 1.1, 0.375, 0.05, 0.1, 0.4, 1.15, 0.15, 0.1, 0.075, 0.75, 0.575, 0.05, 0.325, 0.9, 0.375, 0.575, 0.05, 0.125, 0.075, 0.125, 0.4, 0.275, 0.125, 0.525, 0.65, 0.975, 0.725, 0.275, 0.175, 1.65, 0.7, 0.1, 0.05, 0.225, 0.4, 0.375, 0.325, 0.2, 0.225, 0.425, 2.05, 0.025, 0.125, 0.075, 0.45, 0.075, 0.225, 0.075, 0.35, 0.15, 0.3, 0.175, 0.1, 0.525, 0.55, 0.325, 0.375, 0.075, 0.5, 0.525, 0.7, 0.3, 0.05, 0.55, 0.65, 0.675, 0.25, 0.7, 0.85, 0.9, 1.15, 0.25, 0.025, 0.1, 0.475, 0.125, 1.0, 0.35, 0.075, 0.725, 0.3, 0.2, 0.1, 0.25, 0.2, 0.975, 0.55, 0.025, 0.225, 0.425, 0.525, 1.45, 0.025, 0.175, 0.275, 0.025, 0.35, 0.4, 0.4, 0.075, 0.7, 0.35, 0.1, 0.4, 0.175, 0.275, 1.425, 0.775, 0.475, 0.85, 1.375, 0.25, 0.55, 0.075, 1.425, 0.325, 0.525, 0.3, 0.825, 0.525, 0.15, 0.075, 0.375, 0.125, 0.05, 0.3, 0.675, 1.4, 0.9, 0.475, 0.425, 0.475, 0.275, 1.175, 0.3, 0.45, 1.375, 0.225, 0.25, 0.1, 0.05, 0.15, 0.6, 0.225, 0.55, 0.45, 0.275, 0.15, 0.05, 1.45, 0.225, 0.225, 0.75, 0.25, 0.55, 0.525, 0.925, 1.4, 0.725, 0.8, 0.775)\n" ] } ], "source": [ "path = stochastic_hamiltonian(graph)\n", "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n", "durs = tuple(d[0] for d in target_melody_data)\n", "path_to_chords(path, root)\n", "print(durs)\n", "write_chord_sequence(list(zip(durs, path_to_chords(path, root))))" ] } ], "metadata": { "kernelspec": { "display_name": "Python (compact sets)", "language": "python", "name": "compact_sets" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 5 }