initial commit

legacy
Michael Winter 5 years ago
commit 60ff451c07

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GNU GENERAL PUBLIC LICENSE
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@ -0,0 +1,5 @@
a history of the domino problemo
note that this code produces files in two subfolders
the supercollider code makes png files in a subfolder called "visualization"
the klayout code reads the above files and outputs gds files in a subfolder called "gds"

1
gds/.gitignore vendored

@ -0,0 +1 @@
*.gds

@ -0,0 +1,38 @@
import pya
import os
base_dir = os.path.dirname(os.path.abspath(__file__))
ly1 = pya.Layout()
ly1.read(os.path.join(base_dir, "..", "gds", "alignment_marks_overlapped.gds"))
ly2 = pya.Layout()
ly2.read(os.path.join(base_dir, "..", "gds", "image_overlapped.gds"))
ly1_top_cell = ly1.top_cell()
tmp = ly1.create_cell("Image")
tmp.copy_tree(ly2.top_cell())
ly1_top_cell.insert(pya.CellInstArray(tmp.cell_index(), pya.Trans(3, False, 0, 0)))
ly1.rename_cell(ly1_top_cell.cell_index(), "All")
ly1_top_cell.flatten(1)
ly1.write(os.path.join(base_dir, "..", "gds", "image_with_alignment_marks_overlapped.gds"))
ly1 = pya.Layout()
ly1.read(os.path.join(base_dir, "..", "gds", "inverted_tonality", "alignment_marks_overlapped_inverse.gds"))
ly2 = pya.Layout()
ly2.read(os.path.join(base_dir, "..", "gds", "inverted_tonality", "image_overlapped_inverse.gds"))
ly2.top_cell().transform_into(pya.Trans(3, False, 0, 0))
processor = pya.ShapeProcessor()
processor.boolean(ly1, ly1.top_cell(), 0, ly2, ly2.top_cell(), 0, ly1.top_cell().shapes(0), 1, False, False, True)
processor = pya.ShapeProcessor()
processor.boolean(ly1, ly1.top_cell(), 1, ly2, ly2.top_cell(), 1, ly1.top_cell().shapes(1), 1, False, False, True)
ly1.write(os.path.join(base_dir, "..", "gds", "inverted_tonality", "image_with_alignment_marks_overlapped_inverse.gds"))

@ -0,0 +1,449 @@
import pya
import os
base_dir = os.path.dirname(os.path.abspath(__file__))
# init vars
pixel_size = 20
shift_mult = 5
image_size = 4266 * pixel_size * 100 #calculate this directly (4266 and 4242 for shift_mult 5 and 3, respectively)
image_size_half = image_size / 2
image_dist = (shift_mult * 3 * 2 + 2) * pixel_size * 100
object_border = 0
#print(image_dist)
# create layout
layout = pya.Layout()
layout.dbu = 0.01
top = layout.create_cell("Top")
layer1_index = layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_index = layout.insert_layer(pya.LayerInfo.new(2, 0))
layer3_index = layout.insert_layer(pya.LayerInfo.new(3, 0))
layer4_index = layout.insert_layer(pya.LayerInfo.new(4, 0))
layer5_index = layout.insert_layer(pya.LayerInfo.new(5, 0))
# wafer limits
wafer = layout.create_cell("Wafer")
wafer_circle_limit = layout.create_cell("CIRCLE", "Basic",
{ "actual_radius": 75000, "npoints": 256, "layer": pya.LayerInfo(5, 0)} )
wafer1_cell_border = layout.create_cell("DONUT", "Basic",
{ "actual_radius1": 67500, "actual_radius2": 75000, "npoints": 256, "layer": pya.LayerInfo(1, 0)} )
wafer2_cell_border = layout.create_cell("DONUT", "Basic",
{ "actual_radius1": 67500, "actual_radius2": 75000, "npoints": 256, "layer": pya.LayerInfo(2, 0)} )
wafer.insert(pya.CellInstArray(wafer_circle_limit.cell_index(), pya.Trans(0, 0)))
wafer.insert(pya.CellInstArray(wafer1_cell_border.cell_index(), pya.Trans(0, 0)))
wafer.insert(pya.CellInstArray(wafer2_cell_border.cell_index(), pya.Trans(0, 0)))
limit_region = pya.Region(wafer_circle_limit.begin_shapes_rec(layer5_index))
wafer1_fill_region = pya.Region()
wafer1_fill_region.insert(pya.Box(-7500000, -6850000 + 1750000, 7500000, -1 * (6850000 + 1850000))) #mount area fill
frame_width = 300000
square_width = 2000000
wafer1_fill_region.insert(pya.Box(image_size_half, image_size_half, image_size_half + square_width, image_size_half + square_width)) #encoder
wafer1_fill_region.insert(pya.Box(image_size_half, -1 * image_size_half, image_size_half + square_width, -1 * (image_size_half + square_width))) #encoder
wafer1_fill_region.insert(pya.Box(-1 * image_size_half, image_size_half, -1 * (image_size_half + square_width), image_size_half + square_width)) #encoder
wafer1_fill_region.insert(pya.Box(-1 * image_size_half, -1 * image_size_half, -1 * (image_size_half + square_width), -1 * (image_size_half + square_width))) #encoder
wafer.shapes(layer1_index).insert(limit_region & wafer1_fill_region)
wafer2_fill_region = pya.Region()
wafer2_fill_region.insert(pya.Box(-7500000, 6850000 - 1750000, 7500000, 6850000 + 1850000)) #mount area fill
wafer2_fill_region.insert(pya.Box(image_size_half, image_size_half, image_size_half + square_width, image_size_half + square_width)) #encoder
wafer2_fill_region.insert(pya.Box(image_size_half, -1 * image_size_half, image_size_half + square_width, -1 * (image_size_half + square_width))) #encoder
wafer2_fill_region.insert(pya.Box(-1 * image_size_half, image_size_half, -1 * (image_size_half + square_width), image_size_half + square_width)) #encoder
wafer2_fill_region.insert(pya.Box(-1 * image_size_half, -1 * image_size_half, -1 * (image_size_half + square_width), -1 * (image_size_half + square_width))) #encoder
wafer.shapes(layer2_index).insert(limit_region & wafer2_fill_region)
wafer.shapes(layer3_index).insert(pya.Box(-7500000, -6850000, 7500000, 6850000 - 1850000)) #printable area wafer 1
wafer.shapes(layer4_index).insert(pya.Box(-7500000, 6850000, 7500000, -1 * (6850000 - 1850000))) #printable area wafer 2
top.insert(pya.CellInstArray(wafer.cell_index(), pya.Trans(0, 0)))
layout.rename_cell(wafer.cell_index(), "Wafer_Border")
# def for circ grating
def gen_circ_grating(pitch, width, square_size, name):
#create grating archetype for circ grating
circ_grating = layout.create_cell("Circ_Grating")
circ_grating_inv = layout.create_cell("Circ_Grating_Inv")
i = 0
while (i * pitch) < (8000):
donut = layout.create_cell("DONUT", "Basic",
{ "actual_radius1": (i * pitch), "actual_radius2": (i * pitch + width), "npoints": 256, "layer": pya.LayerInfo(1, 0)} )
circ_grating.insert(pya.CellInstArray(donut.cell_index(), pya.Trans(0, 0)))
i = i + 1
i = 0
while (i * pitch) < (8000):
donut = layout.create_cell("DONUT", "Basic",
{ "actual_radius1": (i * pitch) + width, "actual_radius2": (i * pitch + width) + width, "npoints": 256, "layer": pya.LayerInfo(2, 0)} )
circ_grating_inv.insert(pya.CellInstArray(donut.cell_index(), pya.Trans(0, 0)))
i = i + 1
circ_grating_clip = layout.clip(circ_grating.cell_index(), pya.Box(-1 * square_size, -1 * square_size, square_size, square_size))
circ_grating_inv_clip = layout.clip(circ_grating_inv.cell_index(), pya.Box(-1 * square_size, -1 * square_size, square_size, square_size))
circ_grating.delete()
circ_grating_inv.delete()
layout.rename_cell(circ_grating_clip, name + "_Clip")
layout.rename_cell(circ_grating_inv_clip, name + "_Inv_Clip")
return [circ_grating_clip, circ_grating_inv_clip]
# verniers
linear_grating_vernier = layout.create_cell("Vernier")
base_period = image_size_half - 500000
revealing_period = image_dist
velocity_ratio = 1
pitch1 = (base_period * (revealing_period / velocity_ratio)) / (base_period - (revealing_period / velocity_ratio))
pitch2 = revealing_period / velocity_ratio
opening1 = 4000
#print(pitch1)
#print(pitch2)
frame_width = 300000
for i in range(-1 * int((image_size_half) / pitch1), int((image_size_half) / pitch1)):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(opening1 / 2, -1 * frame_width, pitch1 - opening1 / 2, 0))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch1, 0)))
for i in range(-1 * int((image_size_half - image_dist) / pitch2), int((image_size_half - image_dist) / pitch2)):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(opening1 / 2, -1 * frame_width, pitch2 - opening1 / 2, 0))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch2, 0)))
base_period = -1 * (image_size_half - 500000)
revealing_period = image_dist
velocity_ratio = 5
pitch3 = (base_period * (revealing_period / velocity_ratio)) / (base_period - (revealing_period / velocity_ratio))
pitch4 = revealing_period / velocity_ratio
opening2 = 800
for i in range(-1 * int(image_size_half / pitch3), int(image_size_half / pitch3)):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(opening2 / 2, 0, pitch3 - opening2 / 2, frame_width))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch3, 0)))
for i in range(-1 * int((image_size_half - image_dist) / pitch4), int((image_size_half - image_dist) / pitch4)):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(opening2 / 2, 0, pitch4 - opening2 / 2, frame_width))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch4, 0)))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(image_size_half - (2 * image_dist), -1 * frame_width, image_size_half, 0))
line.shapes(layer2_index).insert(pya.Box(-1 * (image_size_half - (2 * image_dist)), -1 * frame_width, -1 * (image_size_half), 0))
line.shapes(layer2_index).insert(pya.Box(image_size_half - (2 * image_dist), image_dist, image_size_half, image_dist + frame_width))
line.shapes(layer2_index).insert(pya.Box(-1 * (image_size_half - (2 * image_dist)), image_dist, -1 * (image_size_half), image_dist + frame_width))
#These four lines can be taken away to get rid of the bounding black out
line.shapes(layer2_index).insert(pya.Box(-1 * image_size_half, image_dist, image_size_half, 0 - image_dist))
line.shapes(layer2_index).insert(pya.Box(-1 * image_size_half, -1 * (frame_width - image_dist), image_size_half, -1 * (frame_width + image_dist)))
line.shapes(layer2_index).insert(pya.Box(-1 * image_size_half, 0, image_size_half, image_dist))
line.shapes(layer2_index).insert(pya.Box(-1 * image_size_half, frame_width + (1 * image_dist), image_size_half, frame_width - image_dist))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(image_size_half - image_dist, -1 * frame_width, image_size_half - (2 * image_dist), 0))
line.shapes(layer1_index).insert(pya.Box(-1 * (image_size_half - image_dist), -1 * frame_width, -1 * (image_size_half - (2 * image_dist)), 0))
line.shapes(layer1_index).insert(pya.Box(image_size_half - image_dist, 0, image_size_half - (2 * image_dist), frame_width))
line.shapes(layer1_index).insert(pya.Box(-1 * (image_size_half - image_dist), 0, -1 * (image_size_half - (2 * image_dist)), frame_width))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
vernier_extent = image_size_half + object_border + frame_width + image_dist
top.insert(pya.CellInstArray(linear_grating_vernier.cell_index(), pya.Trans(3, False, vernier_extent, 0)))
top.insert(pya.CellInstArray(linear_grating_vernier.cell_index(), pya.Trans(1, False, -1 * vernier_extent, 0)))
top.insert(pya.CellInstArray(linear_grating_vernier.cell_index(), pya.Trans(0, False, 0, vernier_extent)))
top.insert(pya.CellInstArray(linear_grating_vernier.cell_index(), pya.Trans(2, False, 0, -1 * vernier_extent)))
vernier_extent = vernier_extent + frame_width + image_dist
# linear grating unison for rotational alignment
linear_grating_uni = layout.create_cell("Linear_Grating_Uni")
pitch = 2000
line_width = 1000
frame_width = 300000 / 2
line_length = image_size_half - 500000
i = -1 * frame_width
while (i) < (frame_width):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(0, -1 * line_length, line_width, line_length))
linear_grating_uni.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i, 0)))
i = i + pitch
i = -1 * frame_width
shift = line_width
while (i) < (frame_width):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(0, -1 * line_length, line_width, line_length))
linear_grating_uni.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i + shift, 0)))
i = i + pitch
unison_rot_extent = vernier_extent + object_border + frame_width + image_dist
top.insert(pya.CellInstArray(linear_grating_uni.cell_index(), pya.Trans(2, False, unison_rot_extent, 0)))
top.insert(pya.CellInstArray(linear_grating_uni.cell_index(), pya.Trans(0, False, -1 * unison_rot_extent, 0)))
unison_rot_extent = unison_rot_extent + frame_width + image_dist
# 9 * 9 grid with larger squares
circ_grating_square_array_2 = layout.create_cell("Circ_Grating_Square_Array_2")
square_dist = 400000
pitch = 10
width = 5
square_size = (square_dist / 2) - 20000
[circ_grating_square_array_clip, circ_grating_square_array_inv_clip] = gen_circ_grating(pitch, width, square_size, "Circ_Grating_2")
for r in range(-1, 2):
for c in range(-1, 2):
circ_grating_square_array_2.insert(pya.CellInstArray(circ_grating_square_array_clip, pya.Trans(0, False, square_dist * r, square_dist * c)))
circ_grating_square_array_2.insert(pya.CellInstArray(circ_grating_square_array_inv_clip, pya.Trans(0, False, square_dist * r + (r * image_dist), square_dist * c + (c * image_dist))))
grid_extent = unison_rot_extent + square_size + square_dist + image_dist
y_offset = square_dist + image_dist + (square_size)
top.insert(pya.CellInstArray(circ_grating_square_array_2.cell_index(), pya.Trans(2, False, grid_extent, 0)))
top.insert(pya.CellInstArray(circ_grating_square_array_2.cell_index(), pya.Trans(0, False, -1 * grid_extent, 0)))
# verniers md course
linear_grating_vernier_md_course = layout.create_cell("Vernier_md_course")
square_size = 650000
fray = 0
line_length = square_size / 2 + fray
velocity_ratio = 2
pitch1 = ((square_size * 1) * (image_dist / velocity_ratio)) / ((square_size * 1) - (image_dist / velocity_ratio))
pitch2 = image_dist / velocity_ratio
opening = 8000
for i in range(-1 * int(square_size / 2 / pitch1) - 0, int(square_size / 2 / pitch1) + 0):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(opening / 2, -1 * line_length, pitch1 - opening / 2, line_length))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch1, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, (i * pitch1))))
for i in range(-1 * int(square_size / 2 / pitch2) - 0, int(square_size / 2 / pitch2) + 0):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(opening / 2, -1 * line_length, pitch2 - opening / 2, line_length))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch2, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, (i * pitch2))))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2 - image_dist, square_size / 2 + (1 * image_dist), square_size / 2 + (1 * image_dist)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2 - image_dist, square_size / 2 + (0 * image_dist), square_size / 2 + (1 * image_dist)))
#linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(2, False, 0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, True, 0, 0)))
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2, square_size / 2 + (1 * image_dist), square_size / 2 + (0 * image_dist)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(2, False, 0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(3, False, 0, 0)))
triangle = layout.create_cell("Triangle")
triangle.shapes(layer2_index).insert(pya.Polygon([pya.Point(-45000, -1 * image_dist), pya.Point(45000, -1 * image_dist), pya.Point(0, 0)]))
linear_grating_vernier_md_course.insert(pya.CellInstArray(triangle.cell_index(), pya.Trans(0, False, 0, -1 * (square_size / 2 + (image_dist * 1)))))
linear_grating_vernier_md_course.insert(pya.CellInstArray(triangle.cell_index(), pya.Trans(1, False, (square_size / 2 + (image_dist * 1)), 0)))
grid_extent = unison_rot_extent + (square_size / 2) + (image_dist * 1)
y_offset = y_offset + (square_size / 2) + (image_dist * 3)
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(0, False, (grid_extent + fray), (y_offset + fray))))
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(0, True, (grid_extent + fray), -1 * (y_offset + fray))))
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(2, False, -1 * (grid_extent + fray), -1 * (y_offset + fray))))
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(2, True, -1 * (grid_extent + fray), (y_offset + fray))))
# verniers md fine
linear_grating_vernier_md_fine = layout.create_cell("Vernier_md_fine")
square_size = 650000
fray = 0
line_length = square_size / 2 + fray
velocity_ratio = 3
pitch1 = ((square_size * -1) * (image_dist / velocity_ratio)) / ((square_size * -1) - (image_dist / velocity_ratio))
pitch2 = image_dist / velocity_ratio
opening = 8000 * 2/3
for i in range(-1 * int(square_size / 2 / pitch1) - 0, int(square_size / 2 / pitch1) + 0):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(opening / 2, -1 * line_length, pitch1 - opening / 2, line_length))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch1, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, (i * pitch1))))
for i in range(-1 * int(square_size / 2 / pitch1) - 0, int(square_size / 2 / pitch1) + 0):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(opening / 2, -1 * line_length, pitch2 - opening / 2, line_length))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch2, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, (i * pitch2))))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2 - image_dist, square_size / 2 + (1 * image_dist), square_size / 2 + (1 * image_dist)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2 - image_dist, square_size / 2 + (0 * image_dist), square_size / 2 + (1 * image_dist)))
#linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(2, False, 0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, True, 0, 0)))
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2, square_size / 2 + (1 * image_dist), square_size / 2 + (0 * image_dist)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(2, False, 0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(3, False, 0, 0)))
triangle = layout.create_cell("Triangle")
triangle.shapes(layer2_index).insert(pya.Polygon([pya.Point(-45000, -1 * image_dist), pya.Point(45000, -1 * image_dist), pya.Point(0, 0)]))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(triangle.cell_index(), pya.Trans(0, False, 0, -1 * (square_size / 2 + (image_dist * 1)))))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(triangle.cell_index(), pya.Trans(1, False, (square_size / 2 + (image_dist * 1)), 0)))
grid_extent = unison_rot_extent + (square_size / 2) + (image_dist * 1)
y_offset = y_offset + square_size + (image_dist * 1)
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(0, True, (grid_extent + fray), (y_offset + fray))))
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(0, False, (grid_extent + fray), -1 * (y_offset + fray))))
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(2, True, -1 * (grid_extent + fray), -1 * (y_offset + fray))))
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(2, False, -1 * (grid_extent + fray), (y_offset + fray))))
y_offset = y_offset + (square_size / 2) + (image_dist * 3)
# larger squares only in the unison position
circ_grating_uni = layout.create_cell("Circ_Grating_Uni")
pitch = 20
width = 10
square_size = 530000 / 2
[circ_grating_uni_clip, circ_grating_uni_inv_clip] = gen_circ_grating(pitch, width, square_size, "Circ_Grating_3")
circ_grating_uni.insert(pya.CellInstArray(circ_grating_uni_clip, pya.Trans(0, False, 0, 0)))
circ_grating_uni.insert(pya.CellInstArray(circ_grating_uni_inv_clip, pya.Trans(0, False, 0, 0)))
grid_extent = unison_rot_extent + square_size + image_dist
y_offset = y_offset + (square_size / 1)
top.insert(pya.CellInstArray(circ_grating_uni.cell_index(), pya.Trans(0, False, grid_extent, -1 * y_offset)))
top.insert(pya.CellInstArray(circ_grating_uni.cell_index(), pya.Trans(0, False, -1 * grid_extent, -1 * y_offset)))
top.insert(pya.CellInstArray(circ_grating_uni.cell_index(), pya.Trans(0, False, grid_extent, y_offset)))
top.insert(pya.CellInstArray(circ_grating_uni.cell_index(), pya.Trans(0, False, -1 * grid_extent, y_offset)))
#top.insert(pya.CellInstArray(linear_grating_encoder_clip, pya.Trans(0, False, image_size_half, image_size_half)))
# linear grating encoder for optional optosensor
def gen_encoder_grating(alg_layout, cell):
frame_width = 300000
linear_grating_encoder_1 = alg_layout.create_cell("Linear_Grating_Encoder_1")
linear_grating_encoder_2 = alg_layout.create_cell("Linear_Grating_Encoder_2")
pitch = 1000
line_width = 500
square_width = (frame_width * 2) + (image_dist * 2)
square_width = 2000000
line_length = square_width
i = -1 * square_width
while (i) < (square_width):
line = alg_layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(line_width, 0, -1 * square_width, line_width))
line.shapes(layer1_index).insert(pya.Box(0, 0, line_width, -1 * square_width))
linear_grating_encoder_1.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, False, i, i)))
line = alg_layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(line_width, 0, -1 * square_width, line_width))
line.shapes(layer2_index).insert(pya.Box(0, 0, line_width, -1 * square_width))
linear_grating_encoder_2.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, False, i, i)))
i = i + pitch
i = -1 * square_width
shift = line_width
while (i) < (frame_width + image_dist):
line = alg_layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(line_width, 0, -1 * square_width, line_width))
line.shapes(layer2_index).insert(pya.Box(0, 0, line_width, -1 * square_width))
linear_grating_encoder_1.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, False, i + shift, i + shift)))
line = alg_layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(line_width, 0, -1 * square_width, line_width))
line.shapes(layer1_index).insert(pya.Box(0, 0, line_width, -1 * square_width))
linear_grating_encoder_2.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, False, i + shift, i + shift)))
i = i + pitch
inner_clip_2 = alg_layout.clip(linear_grating_encoder_2.cell_index(), pya.Box(0, 0, frame_width + image_dist, frame_width + image_dist))
linear_grating_encoder_clip_2 = alg_layout.clip(linear_grating_encoder_2.cell_index(), pya.Box(0, 0, square_width, square_width))
cell.insert(pya.CellInstArray(linear_grating_encoder_clip_2, pya.Trans(0, False, image_size_half, image_size_half)))
cell.insert(pya.CellInstArray(inner_clip_2, pya.Trans(0, False, image_size_half + frame_width + image_dist, image_size_half + frame_width + image_dist)))
cell.insert(pya.CellInstArray(linear_grating_encoder_clip_2, pya.Trans(1, False, -1 * image_size_half, image_size_half)))
cell.insert(pya.CellInstArray(inner_clip_2, pya.Trans(1, False, -1 * (image_size_half + frame_width + image_dist), image_size_half + frame_width + image_dist)))
inner_clip_1 = alg_layout.clip(linear_grating_encoder_1.cell_index(), pya.Box(0, 0, frame_width + image_dist, frame_width + image_dist))
linear_grating_encoder_clip_1 = alg_layout.clip(linear_grating_encoder_1.cell_index(), pya.Box(0, 0, square_width, square_width))
cell.insert(pya.CellInstArray(linear_grating_encoder_clip_1, pya.Trans(2, False, -1 * image_size_half, -1 * image_size_half)))
cell.insert(pya.CellInstArray(inner_clip_1, pya.Trans(2, False, -1 * (image_size_half + frame_width + image_dist), -1 * (image_size_half + frame_width + image_dist))))
cell.insert(pya.CellInstArray(linear_grating_encoder_clip_1, pya.Trans(3, False, image_size_half, -1 * image_size_half)))
cell.insert(pya.CellInstArray(inner_clip_1, pya.Trans(3, False, image_size_half + frame_width + image_dist, -1 * (image_size_half + frame_width + image_dist))))
cell.flatten(1)
alg_layout.prune_cell(linear_grating_encoder_1.cell_index(), -1)
alg_layout.prune_cell(linear_grating_encoder_2.cell_index(), -1)
top.flatten(1)
wafer1_region1 = pya.Region(top.begin_shapes_rec(layer1_index))
wafer1_region2 = pya.Region(top.begin_shapes_rec(layer3_index))
wafer2_region1 = pya.Region(top.begin_shapes_rec(layer2_index))
wafer2_region2 = pya.Region(top.begin_shapes_rec(layer4_index))
alignment_layout = pya.Layout()
alignment = alignment_layout.create_cell("Alignment")
alignment_layout.dbu = 0.01
layer1_index = alignment_layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_index = alignment_layout.insert_layer(pya.LayerInfo.new(2, 0))
encode_region = pya.Region()
square_width = 2000000
encode_region.insert(pya.Box(image_size_half, image_size_half, image_size_half + square_width, image_size_half + square_width)) #encoder
encode_region.insert(pya.Box(image_size_half, -1 * image_size_half, image_size_half + square_width, -1 * (image_size_half + square_width))) #encoder
encode_region.insert(pya.Box(-1 * image_size_half, image_size_half, -1 * (image_size_half + square_width), image_size_half + square_width)) #encoder
encode_region.insert(pya.Box(-1 * image_size_half, -1 * image_size_half, -1 * (image_size_half + square_width), -1 * (image_size_half + square_width))) #encoder
alignment.shapes(layer1_index).insert((wafer1_region1 & wafer1_region2) - encode_region)
alignment.shapes(layer2_index).insert((wafer2_region1 & wafer2_region2) - encode_region)
gen_encoder_grating(alignment_layout, alignment)
#alignment_layout.transform(pya.Trans(2, False, 0, 0))
alignment_layout.write(os.path.join(base_dir, "..", "gds", "alignment_marks_overlapped.gds"))
alignment_inv_layout = pya.Layout()
alignment_inv = alignment_inv_layout.create_cell("Alignment_Inverse")
alignment_inv_layout.dbu = 0.01
layer1_index = alignment_inv_layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_index = alignment_inv_layout.insert_layer(pya.LayerInfo.new(2, 0))
alignment_inv.shapes(layer1_index).insert(wafer1_region2 - wafer1_region1)
alignment_inv.shapes(layer2_index).insert(wafer2_region2 - wafer2_region1)
gen_encoder_grating(alignment_inv_layout, alignment_inv)
#alignment_inv_layout.transform(pya.Trans(2, False, 0, 0))
alignment_inv_layout.write(os.path.join(base_dir, "..", "gds", "inverted_tonality", "alignment_marks_overlapped_inverse.gds"))

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import pya
import os
from PIL import Image
base_dir = os.path.dirname(os.path.abspath(__file__))
#for some reason pya is not getting the size so using PIL
im = Image.open(os.path.join(base_dir, "..", "visualizations", "11735", "shadow_img_0_final.png"))
#width, height = [100, 100]
width, height = im.size
im.close()
# create layout
layout = pya.Layout()
layout.dbu = 0.01
image = layout.create_cell("Image")
layer1_index = layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_index = layout.insert_layer(pya.LayerInfo.new(2, 0))
image1 = pya.Image(os.path.join(base_dir, "..", "visualizations", "11735", "shadow_img_0_final.png"))
# The dimension of one pixel
pixelSize = 2000
# image distance in pixels minus the 2 pixel offset
shift_mult = 5
image_dist = (shift_mult * 3 * 2)
image1_region = pya.Region()
image2_region = pya.Region()
image1_region_bb = pya.Region()
image2_region_bb = pya.Region()
final_region = pya.Region()
# Iterate over all rows in image1
for y in range(height):
# Iterate over all columns in image1
for x in range(width):
# Use each channel for a different layer
# d > 0.5 selects all pixels with a level > 50% in that channel
d = image1.get_pixel(x, y, 0)
if d < 0.5:
# Create a polygon corresponding to one pixel
p1 = pya.DPoint((x * pixelSize) - (0.5 * width * pixelSize), (y * pixelSize) - (0.5 * width * pixelSize))
p2 = pya.DPoint(((x + 1) * pixelSize) - (0.5 * width * pixelSize), ((y + 1) * pixelSize) - (0.5 * width * pixelSize))
dbox = pya.DBox(p1, p2)
box = pya.Box.from_dbox(dbox)
poly = pya.Polygon(box)
image1_region.insert(poly)
image1._destroy()
image2 = pya.Image(os.path.join(base_dir, "..", "visualizations", "11735", "shadow_img_1_final.png"))
# Iterate over all rows in image2
for y in range(image_dist, height - image_dist):
# Iterate over all columns in image2
for x in range(image_dist, width - image_dist):
# Use each channel for a different layer
# d > 0.5 selects all pixels with a level > 50% in that channel
d = image2.get_pixel(x, y, 0)
if d < 0.5:
# Create a polygon corresponding to one pixel
p1 = pya.DPoint((x * pixelSize) - (0.5 * width * pixelSize), (y * pixelSize) - (0.5 * width * pixelSize))
p2 = pya.DPoint(((x + 1) * pixelSize) - (0.5 * width * pixelSize), ((y + 1) * pixelSize) - (0.5 * width * pixelSize))
dbox = pya.DBox(p1, p2)
box = pya.Box.from_dbox(dbox)
poly = pya.Polygon(box)
image2_region.insert(poly)
print("pixel import finished")
image2._destroy()
image1_bb = pya.Box(-0.5 * width * pixelSize, -0.5 * height * pixelSize, 0.5 * width * pixelSize, 0.5 * width * pixelSize)
image2_bb = pya.Box(((-0.5 * width) + image_dist) * pixelSize, ((-0.5 * height) + image_dist) * pixelSize, ((0.5 * width) - image_dist) * pixelSize, ((0.5 * height) - image_dist) * pixelSize)
image1_region_bb.insert(image1_bb)
image2_region_bb.insert(image2_bb)
#if you resize image1, you must sent merged_semantics to True!!!!
#image1_region.merged_semantics = False
#image2_region.merged_semantics = False
#image1_region_inverse.merged_semantics = False
#image2_region_inverse.merged_semantics = False
#image1_region_bb.merged_semantics = False
#image2_region_bb.merged_semantics = False
#final_region.merged_semantics = False
#image1_region.strict_handling = True
#image2_region.strict_handling = True
#image1_region_inverse.strict_handling = True
#image2_region_inverse.strict_handling = True
#image2_region.strict_handling = True
#image1_region_bb.strict_handling = True
#image2_region_bb.strict_handling = True
#final_region.strict_handling = True
#image1_region.size(25) #opting not to resize image1
image2_region.size(150)
print("resize finished")
image_layout = pya.Layout()
image = image_layout.create_cell("Image")
image_layout.dbu = 0.01
layer1_image_index = image_layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_image_index = image_layout.insert_layer(pya.LayerInfo.new(2, 0))
print("finalizing layout for image_overlapped.gds")
#normal
image.shapes(layer1_index).insert(image1_region)
image_layout.clip(image.cell_index(), image1_bb)
processor = pya.ShapeProcessor()
processor.merge(image_layout, image, layer1_image_index, image.shapes(layer1_image_index), False, 0, False, True)
print("layer1 finished")
image.shapes(layer2_image_index).insert(image2_region_bb & image2_region)
print("layer2 finished")
print("layout for image_overlapped.gds finished")
image_layout.write(os.path.join(base_dir, "..", "gds", "image_overlapped.gds"))
print("image_overlapped.gds written")
image_inv_layout = pya.Layout()
image_inv = image_inv_layout.create_cell("Image_Inverse")
image_inv_layout.dbu = 0.01
layer1_image_inv_index = image_inv_layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_image_inv_index = image_inv_layout.insert_layer(pya.LayerInfo.new(2, 0))
print("finalizing layout for image_overlapped_inverse.gds")
#inverted
#image_inv.shapes(layer1_index).insert(pya.Box(-7500000, -6850000, 7500000, 6850000 - 1850000)) #printable area wafer 1
#image_inv.shapes(layer2_index).insert(pya.Box(-7500000, 6850000, 7500000, -1 * (6850000 - 1850000))) #printable area wafer 2
#the printable areas are rotated for the overlay with the alignment marks
image_inv.shapes(layer1_index).insert(pya.Box(-7500000, -6850000, 7500000, 6850000 - 1850000).transformed(pya.Trans(1, False, 0, 0))) #printable area wafer 1
image_inv.shapes(layer2_index).insert(pya.Box(-7500000, 6850000, 7500000, -1 * (6850000 - 1850000)).transformed(pya.Trans(1, False, 0, 0))) #printable area wafer 2
processor = pya.ShapeProcessor()
processor.boolean(image_layout, image, layer1_image_index, image_inv_layout, image_inv, layer1_image_inv_index, image_inv.shapes(layer1_image_inv_index), 3, False, False, True)
print("layer1 finished")
processor = pya.ShapeProcessor()
processor.boolean(image_layout, image, layer2_image_index, image_inv_layout, image_inv, layer2_image_inv_index, image_inv.shapes(layer2_image_inv_index), 3, False, False, True)
print("layer2 finished")
print("layout for image_overlapped_inverse.gds finished")
image_inv_layout.write(os.path.join(base_dir, "..", "gds", "inverted_tonality", "image_overlapped_inverse.gds"))
print("image_overlapped_inverse.gds written")

@ -0,0 +1,156 @@
import pya
import os
base_dir = os.path.dirname(os.path.abspath(__file__))
# init vars
velocity_ratio1 = 2
opening1 = 8000
velocity_ratio2 = 3
opening2 = opening1 * velocity_ratio1 / velocity_ratio2
pixel_size = 20
shift_mult = 5
image_size = 4266 * pixel_size * 100 #calculate this directly (4266 and 4242 for shift_mult 5 and 3, respectively)
image_size_half = image_size / 2
image_dist = (shift_mult * 3 * 2 + 2) * pixel_size * 100
object_border = 0
#print(image_dist)
# create layout
layout = pya.Layout()
layout.dbu = 0.01
top = layout.create_cell("Top")
layer1_index = layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_index = layout.insert_layer(pya.LayerInfo.new(2, 0))
layer3_index = layout.insert_layer(pya.LayerInfo.new(3, 0))
layer4_index = layout.insert_layer(pya.LayerInfo.new(4, 0))
layer5_index = layout.insert_layer(pya.LayerInfo.new(5, 0))
y_offset = 0
# verniers md course
linear_grating_vernier_md_course = layout.create_cell("Vernier_md_course")
square_size = 650000
fray = 0
line_length = square_size / 2 + fray
pitch11 = ((square_size * 1) * (image_dist / velocity_ratio1)) / ((square_size * 1) - (image_dist / velocity_ratio1))
pitch12 = image_dist / velocity_ratio1
for i in range(-1 * int(square_size / 2 / pitch11) - 0, int(square_size / 2 / pitch11) + 0):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(opening1 / 2, -1 * line_length, pitch11 - opening1 / 2, line_length))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch11, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, (i * pitch11))))
for i in range(-1 * int(square_size / 2 / pitch12) - 0, int(square_size / 2 / pitch12) + 0):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(opening1 / 2, -1 * line_length, pitch12 - opening1 / 2, line_length))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch12, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, (i * pitch12))))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2 - image_dist, square_size / 2 + (1 * image_dist), square_size / 2 + (1 * image_dist)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2 - image_dist, square_size / 2 + (0 * image_dist), square_size / 2 + (1 * image_dist)))
#linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(2, False, 0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, True, 0, 0)))
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2, square_size / 2 + (1 * image_dist), square_size / 2 + (0 * image_dist)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(2, False, 0, 0)))
linear_grating_vernier_md_course.insert(pya.CellInstArray(line.cell_index(), pya.Trans(3, False, 0, 0)))
triangle = layout.create_cell("Triangle")
triangle.shapes(layer2_index).insert(pya.Polygon([pya.Point(-45000, -1 * image_dist), pya.Point(45000, -1 * image_dist), pya.Point(0, 0)]))
linear_grating_vernier_md_course.insert(pya.CellInstArray(triangle.cell_index(), pya.Trans(0, False, 0, -1 * (square_size / 2 + (image_dist * 1)))))
linear_grating_vernier_md_course.insert(pya.CellInstArray(triangle.cell_index(), pya.Trans(1, False, (square_size / 2 + (image_dist * 1)), 0)))
y_offset = y_offset + (square_size / 2) + (image_dist * 3)
grid_extent = 0
top.insert(pya.CellInstArray(linear_grating_vernier_md_course.cell_index(), pya.Trans(0, False, (grid_extent + fray), (y_offset + fray))))
# verniers md fine
linear_grating_vernier_md_fine = layout.create_cell("Vernier_md_fine")
square_size = 650000
fray = 0
line_length = square_size / 2 + fray
pitch21 = ((square_size * -1) * (image_dist / velocity_ratio2)) / ((square_size * -1) - (image_dist / velocity_ratio2))
pitch22 = image_dist / velocity_ratio2
for i in range(-1 * int(square_size / 2 / pitch21) - 0, int(square_size / 2 / pitch21) + 0):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(opening2 / 2, -1 * line_length, pitch21 - opening2 / 2, line_length))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch21, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, (i * pitch21))))
for i in range(-1 * int(square_size / 2 / pitch22) - 0, int(square_size / 2 / pitch22) + 0):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(opening2 / 2, -1 * line_length, pitch22 - opening2 / 2, line_length))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch22, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, (i * pitch22))))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2 - image_dist, square_size / 2 + (1 * image_dist), square_size / 2 + (1 * image_dist)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2 - image_dist, square_size / 2 + (0 * image_dist), square_size / 2 + (1 * image_dist)))
#linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(2, False, 0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, True, 0, 0)))
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(-1 * (square_size / 2 + (1 * image_dist)), square_size / 2, square_size / 2 + (1 * image_dist), square_size / 2 + (0 * image_dist)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(1, False, 0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(2, False, 0, 0)))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(line.cell_index(), pya.Trans(3, False, 0, 0)))
triangle = layout.create_cell("Triangle")
triangle.shapes(layer2_index).insert(pya.Polygon([pya.Point(-45000, -1 * image_dist), pya.Point(45000, -1 * image_dist), pya.Point(0, 0)]))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(triangle.cell_index(), pya.Trans(0, False, 0, -1 * (square_size / 2 + (image_dist * 1)))))
linear_grating_vernier_md_fine.insert(pya.CellInstArray(triangle.cell_index(), pya.Trans(1, False, (square_size / 2 + (image_dist * 1)), 0)))
y_offset = y_offset + square_size + (image_dist * 1)
grid_extent = 0
top.insert(pya.CellInstArray(linear_grating_vernier_md_fine.cell_index(), pya.Trans(0, True, (grid_extent + fray), (y_offset + fray))))
top.flatten(1)
top.write(os.path.join(base_dir, "..", "gds", "md_vernier_test.gds"))
bb_region = pya.Region(pya.Box(-650000, -300000, 650000, 2000000))
wafer1 = pya.Region(top.begin_shapes_rec(layer1_index))
wafer2 = pya.Region(top.begin_shapes_rec(layer2_index))
alignment_inv_layout = pya.Layout()
alignment_inv = alignment_inv_layout.create_cell("Alignment_Inverse")
alignment_inv_layout.dbu = 0.01
layer1_index = alignment_inv_layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_index = alignment_inv_layout.insert_layer(pya.LayerInfo.new(2, 0))
alignment_inv.shapes(layer1_index).insert(bb_region - wafer1)
alignment_inv.shapes(layer2_index).insert(bb_region - wafer2)
alignment_inv_layout.write(os.path.join(base_dir, "..", "gds", "inverted_tonality", "md_vernier_test_inverse.gds"))

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import pya
import os
base_dir = os.path.dirname(os.path.abspath(__file__))
layout = pya.Layout()
layout.read(os.path.join(base_dir, "..", "gds", "image_with_alignment_marks_overlapped.gds"))
layout.delete_layer(1)
layout.top_cell().shapes(0).insert(pya.Box(-9000000, 6850000 - 1850000 + 30000, 9000000, 6850000 - 1850000 + 30000 + 5000))
#layout.transform(pya.Trans(2, False, 0, 0))
layout.write(os.path.join(base_dir, "..", "gds", "wafer_1.gds"))
layout = pya.Layout()
layout.read(os.path.join(base_dir, "..", "gds", "image_with_alignment_marks_overlapped.gds"))
layout.delete_layer(0)
#layout.transform(pya.Trans(2, True, 0, 0))
layout.transform(pya.Trans(0, True, 0, 0))
layout.top_cell().shapes(1).insert(pya.Box(-9000000, 6850000 - 1850000 + 30000, 9000000, 6850000 - 1850000 + 30000 + 5000))
layout.write(os.path.join(base_dir, "..", "gds", "wafer_2.gds"))
layout = pya.Layout()
layout.read(os.path.join(base_dir, "..", "gds", "inverted_tonality", "image_with_alignment_marks_overlapped_inverse.gds"))
layout.delete_layer(1)
#layout.transform(pya.Trans(2, False, 0, 0))
layout.write(os.path.join(base_dir, "..", "gds", "inverted_tonality", "wafer_1_inverse.gds"))
layout = pya.Layout()
layout.read(os.path.join(base_dir, "..", "gds", "inverted_tonality", "image_with_alignment_marks_overlapped_inverse.gds"))
layout.delete_layer(0)
#layout.transform(pya.Trans(2, True, 0, 0))
layout.transform(pya.Trans(0, True, 0, 0))
layout.write(os.path.join(base_dir, "..", "gds", "inverted_tonality", "wafer_2_inverse.gds"))

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import pya
#amount to shift in units of distance between images
shift_x = 0
shift_y = 0
#vars on current sizes
shift_mult = 5
pixel_size = 20
image_dist = (shift_mult * 3 * 2 + 2) * pixel_size * 100
print(image_dist)
#shift and take the overlap returning a 3rd layer
ly = pya.CellView.active().layout()
l10 = ly.layer(1, 0)
l20 = ly.layer(2, 0)
bbox = pya.Region()
bbox.insert(ly.top_cell().bbox())
#r10 = bbox - pya.Region(ly.top_cell().begin_shapes_rec(l10))
#r20 = bbox - pya.Region(ly.top_cell().begin_shapes_rec(l20))
r10 = pya.Region(ly.top_cell().begin_shapes_rec(l10))
r20 = pya.Region(ly.top_cell().begin_shapes_rec(l20))
r10.move(image_dist * shift_x, image_dist* shift_y)
ly.delete_layer(ly.layer(3, 0))
ly.top_cell().shapes(ly.layer(3, 0)).insert(bbox - (r10 | r20))
pya.LayoutView.current().add_missing_layers()

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import pya
#amount to shift in units of distance between images
shift_x = -1
shift_y = -1
#vars on current sizes
shift_mult = 5
pixel_size = 20
image_dist = (shift_mult * 3 * 2 + 2) * pixel_size * 100
print(image_dist)
#shift and take the overlap returning a 3rd layer
ly = pya.CellView.active().layout()
l10 = ly.layer(1, 0)
l20 = ly.layer(2, 0)
r10 = pya.Region(ly.top_cell().begin_shapes_rec(l10))
r20 = pya.Region(ly.top_cell().begin_shapes_rec(l20))
r10.move(image_dist * shift_x, image_dist* shift_y)
ly.delete_layer(ly.layer(3, 0))
ly.top_cell().shapes(ly.layer(3, 0)).insert(r10 & r20)
pya.LayoutView.current().add_missing_layers()

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import pya
import os
base_dir = os.path.dirname(os.path.abspath(__file__))
# init vars
velocity_ratio1 = 1
opening1 = 4000
velocity_ratio2 = 5
opening2 = opening1 * velocity_ratio1 / velocity_ratio2
pixel_size = 20
shift_mult = 5
image_size = 4266 * pixel_size * 100 #calculate this directly (4266 and 4242 for shift_mult 5 and 3, respectively)
image_size_half = image_size / 2
image_dist = (shift_mult * 3 * 2 + 2) * pixel_size * 100
object_border = 0
#print(image_dist)
# create layout
layout = pya.Layout()
layout.dbu = 0.01
top = layout.create_cell("Top")
layer1_index = layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_index = layout.insert_layer(pya.LayerInfo.new(2, 0))
layer3_index = layout.insert_layer(pya.LayerInfo.new(3, 0))
layer4_index = layout.insert_layer(pya.LayerInfo.new(4, 0))
layer5_index = layout.insert_layer(pya.LayerInfo.new(5, 0))
# verniers
linear_grating_vernier = layout.create_cell("Vernier")
base_period = image_size_half - 500000
revealing_period = image_dist
pitch11 = (base_period * (revealing_period / velocity_ratio1)) / (base_period - (revealing_period / velocity_ratio1))
pitch12 = revealing_period / velocity_ratio1
#print(pitch11)
#print(pitch12)
frame_width = 300000
for i in range(-1 * int((image_size_half) / pitch11), int((image_size_half) / pitch11)):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(opening1 / 2, -1 * frame_width, pitch11 - opening1 / 2, 0))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch11, 0)))
for i in range(-1 * int((image_size_half - image_dist) / pitch12), int((image_size_half - image_dist) / pitch12)):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(opening1 / 2, -1 * frame_width, pitch12 - opening1 / 2, 0))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch12, 0)))
base_period = -1 * (image_size_half - 500000)
revealing_period = image_dist
pitch21 = (base_period * (revealing_period / velocity_ratio2)) / (base_period - (revealing_period / velocity_ratio2))
pitch22 = revealing_period / velocity_ratio2
for i in range(-1 * int(image_size_half / pitch21), int(image_size_half / pitch21)):
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(opening2 / 2, 0, pitch21 - opening2 / 2, frame_width))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch21, 0)))
for i in range(-1 * int((image_size_half - image_dist) / pitch22), int((image_size_half - image_dist) / pitch22)):
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(opening2 / 2, 0, pitch22 - opening2 / 2, frame_width))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(i * pitch22, 0)))
line = layout.create_cell("Line")
line.shapes(layer2_index).insert(pya.Box(image_size_half - (2 * image_dist), -1 * frame_width, image_size_half, 0))
line.shapes(layer2_index).insert(pya.Box(-1 * (image_size_half - (2 * image_dist)), -1 * frame_width, -1 * (image_size_half), 0))
line.shapes(layer2_index).insert(pya.Box(image_size_half - (2 * image_dist), image_dist, image_size_half, image_dist + frame_width))
line.shapes(layer2_index).insert(pya.Box(-1 * (image_size_half - (2 * image_dist)), image_dist, -1 * (image_size_half), image_dist + frame_width))
#These four lines can be taken away to get rid of the bounding black out
line.shapes(layer2_index).insert(pya.Box(-1 * image_size_half, image_dist, image_size_half, 0 - image_dist))
line.shapes(layer2_index).insert(pya.Box(-1 * image_size_half, -1 * (frame_width - image_dist), image_size_half, -1 * (frame_width + image_dist)))
line.shapes(layer2_index).insert(pya.Box(-1 * image_size_half, 0, image_size_half, image_dist))
line.shapes(layer2_index).insert(pya.Box(-1 * image_size_half, frame_width + (2 * image_dist), image_size_half, frame_width - image_dist))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
line = layout.create_cell("Line")
line.shapes(layer1_index).insert(pya.Box(image_size_half - image_dist, -1 * frame_width, image_size_half - (2 * image_dist), 0))
line.shapes(layer1_index).insert(pya.Box(-1 * (image_size_half - image_dist), -1 * frame_width, -1 * (image_size_half - (2 * image_dist)), 0))
line.shapes(layer1_index).insert(pya.Box(image_size_half - image_dist, 0, image_size_half - (2 * image_dist), frame_width))
line.shapes(layer1_index).insert(pya.Box(-1 * (image_size_half - image_dist), 0, -1 * (image_size_half - (2 * image_dist)), frame_width))
linear_grating_vernier.insert(pya.CellInstArray(line.cell_index(), pya.Trans(0, 0)))
top.insert(pya.CellInstArray(linear_grating_vernier.cell_index(), pya.Trans(0,0 )))
top.flatten(1)
top.write(os.path.join(base_dir, "..", "gds", "ud_vernier_test.gds"))
bb_region = pya.Region(pya.Box(-5000000, -1 * (frame_width + image_dist), 5000000, frame_width + (2 * image_dist)))
wafer1 = pya.Region(top.begin_shapes_rec(layer1_index))
wafer2 = pya.Region(top.begin_shapes_rec(layer2_index))
alignment_inv_layout = pya.Layout()
alignment_inv = alignment_inv_layout.create_cell("Alignment_Inverse")
alignment_inv_layout.dbu = 0.01
layer1_index = alignment_inv_layout.insert_layer(pya.LayerInfo.new(1, 0))
layer2_index = alignment_inv_layout.insert_layer(pya.LayerInfo.new(2, 0))
alignment_inv.shapes(layer1_index).insert(bb_region - wafer1)
alignment_inv.shapes(layer2_index).insert(bb_region - wafer2)
alignment_inv_layout.write(os.path.join(base_dir, "..", "gds", "inverted_tonality", "ud_vernier_test_inverse.gds"))

@ -0,0 +1,43 @@
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\documentclass[10pt]{letter}
\usepackage[a4paper, top=0.7in, bottom=0.7in, left=0.70in, right=0.70in]{geometry}
\usepackage{underscore}
\usepackage[obeyspaces]{url}
\usepackage{verbatim}
\usepackage{pdfpages}
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\begin{document}
\thispagestyle{empty}
\large
\textit{\textbf{ammann}} \\
\normalsize
from \textit{a history of the domino problem}\\
for 5 to 8 sustaining instruments
\bigskip
\bigskip
\normalsize
The ensemble can play any 5 or more parts (preferably as many as possible) and any 8 or more adjacent sections. If the ensemble starts after the first section (the 2nd through 13th sections), the performers should start on the first note that has an onset within the first measure of the section (replacing the tied note from the last measure of the previous section with a rest). If ending before the final section (the 8th through 19th sections), the last note of each part should be the note tied over from the penultimate measure of the section. Each part should be as distinct in timbre as possible.
All the parts are notated within one octave. Written above each note is an up or down arrow indicating whether the pitch be played high or low. That is, in each part, each pitch-class can occur in one of two ways: in either a higher register or a lower one (the up / down arrows should be interpreted in the same respective register throughout). Which registers are selected for each note in each part is open, but should be selected such that there is some overlap / pitch duplications among the parts and some separation. Limiting the overlap will naturally stratify the registers of the parts. The part number should generally correspond to its relative register (i.e. part 2 should be generally higher than part 1). The ensemble can explore replacing pitches of one to two of the parts with various non-pitched percussion instruments with relatively long decays. The up and down arrows would then be interpreted as two different types of the same instrument (e.g. two sizes of triangles).
The pitches of the piece are derived from a rational tuning systems based on the harmonic series. The notes in the score may be interpreted to the nearest quarter-tone (as written), or preferably with the following cent deviations given from the nearest pitch in 24-tone equal temperament.
\bigskip
\includegraphics[scale=0.75]{ammann\string_pitches.pdf}
\bigskip
\bigskip
\footnotesize
*This piece is part of a large-scale performance-installation titled \textit{a history of the domino problem}. It may be played alone or alongside other pieces from \textit{a history of the domino problem}. Instructions are given in the score detailing the superordinate, large-scale work.
\normalsize
\vspace{\fill}
\begin{flushright}
michael winter\\
(schloss solitude, stuttgart and calle monclova 62, mexico city; 2018-19)
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\large
\textit{\textbf{berger-knuth}} \\
\normalsize
from \textit{a history of the domino problem}\\
for 3 or 6 sustaining instruments
\bigskip
\bigskip
\normalsize
The parts of the score are divided into two groups: `a' and `b'. Either group `a' or group `b' can be performed, but preferably both. Each part should be as distinct in timbre as possible, especially for the same part number between the two groups (e.g. 1a and 1b should be performed with different types of instruments). If only one group is interpreted, the tempo should be faster (more towards 90 beats per minute). If both groups are interpreted, the tempo should be slower (more towards 60 beats per minute). The tempo can also be slightly different for each section.
The ensemble can play any 2 or more adjacent sections. If the ensemble starts after the first section (the 2nd through 5th sections), the performers should start on the first note that has an onset within the first measure of the section (replacing the tied note from the last measure of the previous section with a rest). If ending before the final section (again, the 2nd through 5th sections), the last note of each part should be the note tied over from the penultimate measure of the section.
Generally soft and dynamically flat throughout with tones that decay over the duration of the note after the initial attack. Each part has three dynamic levels: \textit{p}, \textit{mp}, and \textit{mf}. However, part 1 should be softer than part 2 which should be softer than part 3. Performers may occasionally omit or cut short a note in order to breathe or give a sense of phrasing.
The pitches of the piece are derived from a rational tuning system. The notes in the score may be interpreted to the nearest quarter-tone (as written) or with the following cent deviations given from the nearest pitch in 24-tone equal temperament.
\bigskip
\includegraphics[scale=0.75]{berger\string_pitches.pdf}
\bigskip
\bigskip
\footnotesize
*This piece is part of a large-scale performance-installation titled \textit{a history of the domino problem}. It may be played alone or alongside other pieces from \textit{a history of the domino problem}. Instructions are given in the score detailing the superordinate, large-scale work.
\normalsize
\vspace{\fill}
\begin{flushright}
michael winter\\
(schloss solitude, stuttgart and calle monclova 62, mexico city; 2018-19)
\end{flushright}
\includepdf[pages={-}]{../../score/lilypond/berger\string_knuth/berger\string_knuth.pdf}
\end{document}

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\large
\textit{\textbf{jaendel-rao}} \\
\normalsize
from \textit{a history of the domino problem}\\
for sustaining instruments
\bigskip
\bigskip
\normalsize
Provided are scores for two versions of this piece: reduced and full. The instructions for the pieces are essentially the same but the reduced version allows for fewer instrumental resources.
Each part is notated in two `voices': one below the center line and one above. Together, the various combinations indicate 4 ways of producing a pitched-tone which means that each pitch must be able to be played in one of the 4 following ways. 1) a rest written on the center line between the two voice indicates silence, 2) and 3) a rest in one voice with a note in the other indicates to produce the tone in one way or the other pending in which voice the note is given, and 4) a note above and below the center line indicates that both ways of producing the tone must be played together. As such, each part must be taken by an instrument that can play the same pitch in two ways at the same time; e.g. a double stop on a stringed instrument. Or, two instruments can be assigned to the same part; one playing the upper voice and the other playing the lower voice. For the latter, if the instruments are similar in timbre, they should be dislocated in space to give further distinction between the two voice. Another option is to use electronics and / or amplification to create the voice distinction; e.g. the performer sustains the tone throughout the piece and the 4 types of distinctions are as follows: 1) a rest written on the center line between the two voice indicates no amplification, 2) and 3) a rest in one voice with a note in the other indicates that the tone is amplified in either the left or right speaker pending in which voice the note is given, and 4) a note above and below the center line indicates that the tone is amplified through both speakers. The ensemble can explore other simple methods of distinction using one instrument per part (e.g. four dynamic levels or four tremolo speeds), but the previous options are preferred.
The ensemble can choose to perform any 4 or more sections (preferable more / all). Note that the sections are offset for each successively entering voice. The entrance and exit of each note should be rather abrupt / binary. However, the part as a whole should fade in at the beginning of a section and fade out at the end of a section. Crescendo and decrescendo markings indicate the start of the fade which should last 4 measures from the mark. If the (de)crescendo markings are given where there are rests on the center line, there may not be a fade at all if a centered rest is interpreted as silence. The peak amplitude should be quite present and equal for all parts.
As mentioned above, each part plays one pitch. The pitches are derived from adjacent odd harmonics of a harmonic series based on an arbitrary fundamental. These should be played as precisely as possible in the register they occur in the harmonic series. Given below is an example series based on an a fundamental of a low `a' with cent deviations given from the nearest pitch in 24-tone equal temperament. Note that each part enters from high to low and are labeled accordingly.
\bigskip
\includegraphics[scale=0.75]{jaendel\string_pitches.pdf}
\bigskip
\bigskip
\footnotesize
*This piece is part of a large-scale performance-installation titled \textit{a history of the domino problem}. It may be played alone or alongside other pieces from \textit{a history of the domino problem}. Instructions are given in the score detailing the superordinate, large-scale work.
\normalsize
\vspace{\fill}
\begin{flushright}
michael winter\\
(schloss solitude, stuttgart and calle monclova 62, mexico city; 2018-19)
\end{flushright}
\includepdf[pages={-}]{../../score/lilypond/jaendel\string_rao/jaendel\string_rao\string_reduced.pdf}
\includepdf[pages={-}]{../../score/lilypond/jaendel\string_rao/jaendel\string_rao\string_full.pdf}
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\documentclass[10pt]{letter}
\usepackage[a4paper, top=0.7in, bottom=0.7in, left=0.70in, right=0.70in]{geometry}
\usepackage{underscore}
\usepackage[obeyspaces]{url}
\usepackage{verbatim}
\usepackage{pdfpages}
\usepackage{datetime2}
\usepackage{draftwatermark}
\usepackage{graphicx}
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\begin{document}
\thispagestyle{empty}
\large
\textit{\textbf{kari-culik}} \\
\normalsize
from \textit{a history of the domino problem}\\
for sustaining instruments and noise / percussion
\bigskip
\bigskip
\normalsize
The piece consists of a set of `ensemble' instruments notated in the top staff group along with a bass part and a noise / percussion part notated in the bottom staff group. At least 3 of the ensemble parts should be performed (but preferably all). Each of the the ensemble parts span several octaves. To the extent possible, each pitch should be played in the written register. If a single instrument cannot cover the entire range, the part may be played by two instruments. Another option is to transpose or omit notes that are out of range while maintaining a generally open registral spacing and ensuring that the piece does not feel too sparse / empty. Each ensemble part should be as distinct in timbre as possible.
The ensemble can play any 4 or more adjacent sections. If the ensemble starts after the first section (the 2nd through 7th sections), the performers should ignore that the note is tied from a note in the previous measure (the last measure of the previous section). If ending before the final section (the 4th through 9th sections), the performers should ignore that the note is tied to a note in the following measure (the first measure of the following section).
Each note of the ensemble parts should have a dynamic curve as shown in the plot below entering and exiting as softly as possible with a peak dynamic between mezzo-piano and mezzo-forte (as such, the piece should feel relatively soft and tranquil throughout).
\includegraphics[scale=0.25]{dynamic\string_curve.pdf}
Each tone of the bass part should have a more defined, consistent onset that then decays throughout the rest of the tone duration. That is, the duration of the onset is not defined by the length of the tone as with the dynamic curve of the ensemble parts.
Each line of the noise part should be interpreted as different registers of noise (e.g. a relatively lower noise, and a relatively high noise). The noise should crescendo throughout the duration of the written note to a peak dynamic still below the general peak dynamic of the ensemble. At the end of the written duration of the note, the tone can be allowed to decay naturally or decrescendo over a period of a few seconds. Therefore, each line will need to be played on a different instrument. A suitable example would be tremolos on two different symbols with different noise registers.
\bigskip
\bigskip
\footnotesize
*This piece is part of a large-scale performance-installation titled \textit{a history of the domino problem}. It may be played alone or alongside other pieces from \textit{a history of the domino problem}. Instructions are given in the score detailing the superordinate, large-scale work.
\normalsize
\vspace{\fill}
\begin{flushright}
michael winter\\
(schloss solitude, stuttgart and calle monclova 62, mexico city; 2018-19)
\end{flushright}
\includepdf[pages={-}]{../../score/lilypond/kari\string_culik/kari\string_culik.pdf}
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\textit{\textbf{penrose}} \\
\normalsize
from \textit{a history of the domino problem}\\
for 4 to 6 sustaining instruments
\bigskip
\bigskip
\normalsize
The ensemble can play any 4 or more parts (preferably as many as possible) and any 8 or more adjacent sections. The ensemble can explore replacing pitches of the one of the outer parts with various non-pitched percussion instruments with relatively long decays.
The piece should feel rather tranquil with a relatively constant dynamic throughout the piece. Parts with a higher temporal density at any given point should rise slightly above the rest of the ensemble. This sense of phrasing should come out naturally based on the temporal density alone, but can be further articulated by the performers applying a subtle swell over sequences of notes with relatively shorter durations. As a result, each section should be heard as a series of undulations / breaths. Performers may also occasionally omit or cut short a note in order to breathe or give a sense of phrasing.
Pitches can be transposed by an octave if necessary while maintaining relatively distinct registers among the parts to the extent possible. The pitches of the piece are derived from a rational tuning systems. The notes in the score may be interpreted to the nearest quarter-tone (as written), or preferably with the following cent deviations given from the nearest pitch in 24-tone equal temperament.
\bigskip
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\footnotesize
*This piece is part of a large-scale performance-installation titled \textit{a history of the domino problem}. It may be played alone or alongside other pieces from \textit{a history of the domino problem}. Instructions are given in the score detailing the superordinate, large-scale work.
\normalsize
\vspace{\fill}
\begin{flushright}
michael winter\\
(schloss solitude, stuttgart and calle monclova 62, mexico city; 2018-19)
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\documentclass[10pt]{letter}
\usepackage[a4paper, top=0.7in, bottom=0.7in, left=0.70in, right=0.70in]{geometry}
\usepackage{underscore}
\usepackage[obeyspaces]{url}
\usepackage{verbatim}
\usepackage{pdfpages}
\usepackage{datetime2}
\usepackage{draftwatermark}
\usepackage{graphicx}
\DTMsetdatestyle{default}
\DTMsetup{datesep={.}}
\SetWatermarkColor[rgb]{1, 0.6, 0.6}
\SetWatermarkScale{2}
\SetWatermarkHorCenter{4in}
\SetWatermarkVerCenter{4in}
\SetWatermarkText{UNFINISHED DRAFT}
\SetWatermarkText{}
\begin{document}
\thispagestyle{empty}
\large
\textit{\textbf{robinson}} \\
\normalsize
from \textit{a history of the domino problem}\\
for 4 to 8 sustaining instruments
\bigskip
\bigskip
\normalsize
The ensemble can play any 4 or more adjacent parts (preferably as many as possible) and any 4 or more adjacent sections. The tempo (marked between 60 and 90 beats per second) can be derived from the number of players such that the more the performers, the slower the tempo. The tempo can also be slightly different for each section.
Each tone should be played as a swell that enters from and exits to as soft a dynamic as possible. The peak dynamic of the swell is given below the beginning of each note.
The pitches of the piece are derived from a rational tuning series based on the harmonic series. The notes in the score should be interpreted with the following cent deviations given from the nearest pitch in 24-tone equal temperament as accurately as possible.
\bigskip
\includegraphics[scale=0.75]{robinson\string_pitches.pdf}
\bigskip
\bigskip
\footnotesize
*This piece is part of a large-scale performance-installation titled \textit{a history of the domino problem}. It may be played alone or alongside other pieces from \textit{a history of the domino problem}. Instructions are given in the score detailing the superordinate, large-scale work.
\normalsize
\vspace{\fill}
\begin{flushright}
michael winter\\
(schloss solitude, stuttgart and calle monclova 62, mexico city; 2018-19)
\end{flushright}
\includepdf[pages={-}]{../../score/lilypond/robinson/robinson.pdf}
\end{document}

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\version "2.19.81"
genStaff =
#(define-music-function (parser location part)
(string?)
(let * ((file (string-append "includes/ammann_part_" part ".ly")))
#{
\new Staff \with {
instrumentName = #part
shortInstrumentName = #part
}
<<
\include #file
>>
#}))
\paper {
#(set-paper-size "a4" 'portrait)
top-margin = 1 \cm
bottom-margin = 1 \cm
left-margin = 1.75 \cm
top-system-spacing =
#'((basic-distance . 15 )
(minimum-distance . 15 )
(padding . 0 )
(stretchability . 0))
last-bottom-spacing =
#'((basic-distance . 15 )
(minimum-distance . 15 )
(padding . 0 )
(stretchability . 0))
systems-per-page = 2
print-page-number = ##t
oddHeaderMarkup = \markup { \on-the-fly #not-first-page "(ammann)" }
evenHeaderMarkup = \markup { \on-the-fly #not-first-page "(ammann)" }
oddFooterMarkup = \markup { \fill-line {
\on-the-fly #not-first-page
\concat {
"-"
\fontsize #1.5
\on-the-fly #print-page-number-check-first
\fromproperty #'page:page-number-string
"-"}}}
evenFooterMarkup = \markup { \fill-line {
\on-the-fly #not-first-page
\concat {
"-"
\fontsize #1.5
\on-the-fly #print-page-number-check-first
\fromproperty #'page:page-number-string
"-"}}}
}
\header {
title = \markup { \italic {ammann}}
subtitle = \markup { \normal-text { from \italic{a history of the domino the problem}}}
composer = \markup \right-column {"michael winter" "(schloss solitude, stuttgart and calle monclova 62, mexico city; 2018-19)"}
tagline = ""
}
#(set-global-staff-size 11)
\layout {
indent = 0.0\cm
line-width = 17\cm
%ragged-last = ##t
\context {
\Score
\override BarNumber.extra-offset = #'(0 . 4)
\override BarNumber.stencil = #(make-stencil-circler 0.1 0.25 ly:text-interface::print)
\override RehearsalMark #'direction = #DOWN
}
\context {
\Staff
\override VerticalAxisGroup.staff-staff-spacing =
#'((basic-distance . 15 )
(minimum-distance . 15 )
(padding . 0 )
(stretchability . 0))
\override TimeSignature.font-size = #2
\override TimeSignature.break-align-symbol = #'clef
\override TimeSignature.X-offset =
#ly:self-alignment-interface::x-aligned-on-self
\override TimeSignature.self-alignment-X = #LEFT
%\override TimeSignature.after-line-breaking =
% #shift-right-at-line-begin
\override TimeSignature.Y-offset = #9
\override TimeSignature.extra-offset = #'(2 . 0)
}
\context {
\StaffGroup
\name "SemiStaffGroup"
\consists "Span_bar_engraver"
\override SpanBar.stencil =
#(lambda (grob)
(if (string=? (ly:grob-property grob 'glyph-name) "|")
(set! (ly:grob-property grob 'glyph-name) ""))
(ly:span-bar::print grob))
}
\context {
\Score
\accepts SemiStaffGroup
}
}
\score {
%showLastLength = R1*128
\new Score
%\with{ proportionalNotationDuration = #(ly:make-moment 1 16) }
<<
\new SemiStaffGroup {
<<
\new Staff \with {
instrumentName = #"8"
shortInstrumentName = #"8"
midiInstrument = #"clarinet"
}
<<
\include "includes/ammann_part_0.ly"
>>
\new Staff \with {
instrumentName = #"7"
shortInstrumentName = #"7"
midiInstrument = #"clarinet"
\remove "Time_signature_engraver"
}
<<
\include "includes/ammann_part_1.ly"
>>
\new Staff \with {
instrumentName = #"6"
shortInstrumentName = #"6"
midiInstrument = #"clarinet"
\remove "Time_signature_engraver"
}
<<
\include "includes/ammann_part_2.ly"
>>
\new Staff \with {
instrumentName = #"5"
shortInstrumentName = #"5"
midiInstrument = #"clarinet"
\remove "Time_signature_engraver"
}
<<
\include "includes/ammann_part_3.ly"
>>
\new Staff \with {
instrumentName = #"4"
shortInstrumentName = #"4"
midiInstrument = #"clarinet"
\remove "Time_signature_engraver"
}
<<
\include "includes/ammann_part_4.ly"
>>
\new Staff \with {
instrumentName = #"3"
shortInstrumentName = #"3"
midiInstrument = #"clarinet"
\remove "Time_signature_engraver"
}
<<
\include "includes/ammann_part_5.ly"
>>
\new Staff \with {
instrumentName = #"2"
shortInstrumentName = #"2"
midiInstrument = #"clarinet"
\remove "Time_signature_engraver"
}
<<
\include "includes/ammann_part_6.ly"
>>
\new Staff \with {
instrumentName = #"1"
shortInstrumentName = #"1"
midiInstrument = #"clarinet"
\remove "Time_signature_engraver"
}
<<
\include "includes/ammann_part_7.ly"
>>
%\genStaff #"0"
%\genStaff #"1"
%\genStaff #"2"
%\genStaff #"3"
%\genStaff #"4"
%\genStaff #"5"
>>
}
>>
\layout { }
\midi { }
}

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@ -0,0 +1,195 @@
\version "2.19.81"
genStaff =
#(define-music-function (parser location part)
(string?)
(let * ((file (string-append "includes/berger_part_" part ".ly")))
#{
\new Staff \with {
instrumentName = #part
shortInstrumentName = #part
}
<<
\include #file
>>
#}))
\paper {
#(set-paper-size "a4" 'portrait)
top-margin = 1 \cm
bottom-margin = 1 \cm
left-margin = 1.75 \cm
top-system-spacing =
#'((basic-distance . 25 )
(minimum-distance . 25 )
(padding . 0 )
(stretchability . 0))
last-bottom-spacing =
#'((basic-distance . 15 )
(minimum-distance . 15 )
(padding . 0 )
(stretchability . 0))
systems-per-page = 3
print-page-number = ##t
oddHeaderMarkup = \markup { \on-the-fly #not-first-page "(berger-knuth)" }
evenHeaderMarkup = \markup { \on-the-fly #not-first-page "(berger-knuth)" }
oddFooterMarkup = \markup { \fill-line {
\on-the-fly #not-first-page
\concat {
"-"
\fontsize #1.5
\on-the-fly #print-page-number-check-first
\fromproperty #'page:page-number-string
"-"}}}
evenFooterMarkup = \markup { \fill-line {
\on-the-fly #not-first-page
\concat {
"-"
\fontsize #1.5
\on-the-fly #print-page-number-check-first
\fromproperty #'page:page-number-string
"-"}}}
}
\header {
title = \markup { \italic {berger-knuth}}
subtitle = \markup { \normal-text { from \italic{a history of the domino the problem}}}
composer = \markup \right-column {"michael winter" "(schloss solitude, stuttgart and calle monclova 62, mexico city; 2018-19)"}
tagline = ""
}
#(set-global-staff-size 11)
\layout {
indent = 0.0\cm
line-width = 17\cm
%ragged-last = ##t
\context {
\Score
\override BarNumber.extra-offset = #'(0 . 4)
\override BarNumber.stencil = #(make-stencil-circler 0.1 0.25 ly:text-interface::print)
\override RehearsalMark #'direction = #DOWN
}
\context {
\Staff
\override VerticalAxisGroup.staff-staff-spacing =
#'((basic-distance . 13 )
(minimum-distance . 13 )
(padding . 0 )
(stretchability . 0))
\override TimeSignature.font-size = #2
\override TimeSignature.break-align-symbol = #'clef
\override TimeSignature.X-offset =
#ly:self-alignment-interface::x-aligned-on-self
\override TimeSignature.self-alignment-X = #LEFT
%\override TimeSignature.after-line-breaking =
% #shift-right-at-line-begin
\override TimeSignature.Y-offset = #9
\override TimeSignature.extra-offset = #'(2 . 0)
}
\context {
\StaffGroup
\name "SemiStaffGroup"
\consists "Span_bar_engraver"
\override SpanBar.stencil =
#(lambda (grob)
(if (string=? (ly:grob-property grob 'glyph-name) "|")
(set! (ly:grob-property grob 'glyph-name) ""))
(ly:span-bar::print grob))
}
\context {
\Score
\accepts SemiStaffGroup
}
}
\score{
%showLastLength = R1*128
\new Score
%\with{ proportionalNotationDuration = #(ly:make-moment 1 16) }
<<
\new SemiStaffGroup {
<<
\new Staff \with {
instrumentName = #"1a"
shortInstrumentName = #"1a"
midiInstrument = #"flute"
}
<<
\include "includes/berger_part_3.ly"
>>
\new Staff \with {
instrumentName = #"2a"
shortInstrumentName = #"2a"
midiInstrument = #"clarinet"
\remove "Time_signature_engraver"
}
<<
\include "includes/berger_part_2.ly"
>>
\new Staff \with {
instrumentName = #"3a"
shortInstrumentName = #"3a"
midiInstrument = #"viola"
\remove "Time_signature_engraver"
}
<<
\include "includes/berger_part_1.ly"
>>
>>
}
\new SemiStaffGroup {
<<
\new Staff \with {
instrumentName = #"1b"
shortInstrumentName = #"1b"
midiInstrument = #"cello"
\remove "Time_signature_engraver"
}
<<
\include "includes/berger_part_7.ly"
>>
\new Staff \with {
instrumentName = #"2b"
shortInstrumentName = #"2b"
midiInstrument = #"saxophone"
\remove "Time_signature_engraver"
}
<<
\include "includes/berger_part_6.ly"
>>
\new Staff \with {
instrumentName = #"3b"
shortInstrumentName = #"3b"
midiInstrument = #"bassoon"
\remove "Time_signature_engraver"
}
<<
\include "includes/berger_part_5.ly"
>>
%\genStaff #"0"
%\genStaff #"1"
%\genStaff #"2"
%\genStaff #"3"
%\genStaff #"4"
%\genStaff #"5"
>>
}
>>
\midi{}
\layout{}
}

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<<
\numericTimeSignature
{
\override RehearsalMark.X-offset = #1 \override RehearsalMark.Y-offset = #4
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 | s1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | s1 | r2 e''2 ~ | e''2 r2 | s1 | s1 | r2 e''2 ~ | e''2 r2 | s1 | e''1 | r2 e''2 | s1 | s1 | e''1 | s1 | s1 | s1 | e''2 r2 | s1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | s1 | r2 e''2 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | s1 | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''2 r2 | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | r2 e''2 | s1 | s1 | s1 | s1 | s1 | s1 | e''1 | s1 | s1 | s1 | e''2 r2 | s1 | s1 | s1 | s1 | s1 | r2 e''2 ~ | e''2 r2 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | r2 e''2 ~ | e''2 r2 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 | r2 e''2 ~ | e''1 ~ | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
\\
{
\override RehearsalMark.direction = #DOWN \override RehearsalMark.X-offset = #2 \override RehearsalMark.Y-offset = #-8
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r2 f'2 ~ | f'1 ~ | f'2 r2 | f'1 | r2 f'2 ~ | f'1 ~ | f'2 r2 | f'1 ~ | f'1 ~ | f'1 ~ | f'2 r2 | f'1 ~ | f'1 | r2 f'2 ~ | f'2 r2 | f'1 ~ | f'1 | r2 f'2 ~ | f'1 ~ | f'1 ~ | f'1 | r2 f'2 ~ | f'1 ~ | f'2 r2 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 | r2 f'2 ~ | f'1 ~ | f'2 r2 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'1 | s1 | s1 | s1 | s1 | s1 | r2 f'2 ~ | f'1 | s1 | s1 | r2 f'2 ~ | f'2 r2 | s1 | f'1 ~ | f'2 r2 | s1 | s1 | f'1 ~ | f'2 r2 | s1 | s1 | s1 | s1 | r2 f'2 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 | s1 | s1 | r2 f'2 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'2 r2 | r2 f'2 | s1 | f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 | s1 | f'2 r2 | f'1 | r2 f'2 | s1 | f'2 r2 | f'2 r2 | r2 f'2 | s1 | f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'2 r2 | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 | r2 f'2 ~ | f'1 ~ | f'1 ~ | f'1 | r2 f'2 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'2 r2 | f'1 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | f'2 r2 | s1 | s1 | s1 | f'2 r2 | s1 | r2 f'2 | s1 | s1 | s1 | r2 f'2 | s1 | s1 | s1 | s1 | s1 | s1 | f'2 r2 | s1 | s1 | s1 | f'2 r2 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 | s1 | f'2 r2 | f'1 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'1 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 ~ | f'2 r2 | f'2 r2 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 | r2 f'2 | s1 | f'2 r2 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
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<<
\numericTimeSignature
{
\override RehearsalMark.X-offset = #1 \override RehearsalMark.Y-offset = #4
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''4 r2. | r4 e''2. ~ | e''2. r4 | s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | r4 e''2. ~ | e''4 r2. | s1 | r2. e''4 ~ | e''1 ~ | e''4 r2. | r2. e''4 ~ | e''1 ~ | e''1 ~ | e''4 r2. | r2. e''4 ~ | e''2. r4 | s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | r4 e''2. ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''2. r4 | s1 | s1 | s1 | s1 | \mark \default s1 | r2. e''4 ~ | e''2. r4 | r4 e''2 r4 | s1 | r2. e''4 ~ | e''2. r4 | s1 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2. | s1 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2. | r2. e''4 ~ | e''2. r4 | r4 e''2 r4 | s1 | r2. e''4 ~ | e''2. r4 | s1 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2. | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''2. r4 | s1 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''4 r2. | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2. r4 | s1 | r4 e''2. ~ | e''1 ~ | e''2. r4 | r2. e''4 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default e''2. r4 | s1 | s1 | r2. e''4 ~ | e''4 r2. | s1 | r4 e''2. ~ | e''4 r2. | s1 | s1 | r4 e''2 r4 | s1 | s1 | s1 | s1 | s1 | r2. e''4 ~ | e''2. r4 | s1 | s1 | r2. e''4 ~ | e''4 r2. | s1 | r4 e''2. ~ | e''4 r2. | s1 | s1 | r4 e''2. | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
\\
{
\override RehearsalMark.direction = #DOWN \override RehearsalMark.X-offset = #2 \override RehearsalMark.Y-offset = #-8
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r4 f'2 r4 | s1 | r2. f'4 ~ | f'4 r2. | s1 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2. | s1 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | s1 | r2. f'4 ~ | f'4 r2. | r4 f'2 r4 | s1 | r2. f'4 ~ | f'4 r2. | s1 | r4 f'2 r4 | r2. f'4 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'4 r2. | s1 | r4 f'2 r4 | r2. f'4 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'1 ~ | f'2. r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'1 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2. ~ | f'1 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2. | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'4 r2. | r2. f'4 ~ | f'1 ~ | f'4 r2. | s1 | r2. f'4 ~ | f'2. r4 | s1 | r4 f'2. ~ | f'1 ~ | f'2. r4 | s1 | r4 f'2. ~ | f'2. r4 | s1 | s1 | r4 f'2. ~ | f'4 r2. | r2. f'4 ~ | f'1 ~ | f'4 r2. | s1 | r2. f'4 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'4 r2. | r4 f'2. ~ | f'1 ~ | f'2. r4 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r2. f'4 ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'4 r2. | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'4 r2. | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r4 f'2. ~ | f'1 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'1 ~ | f'4 r2 f'4 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'4 r2 f'4 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'1 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'1 ~ | f'4 r2 f'4 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'4 r2 f'4 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'2. r4 | s1 | s1 | s1 | s1 | s1 | r4 f'2. ~ | f'2. r4 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | r2. f'4 ~ | f'1 ~ | f'4 r2. | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
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<<
\numericTimeSignature
{
\override RehearsalMark.X-offset = #1 \override RehearsalMark.Y-offset = #4
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
\mark \default r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default s1 | r2 e''2 ~ | e''1 | s1 | r2 e''2 ~ | e''2 r2 | s1 | s1 | e''1 ~ | e''2 r2 | s1 | s1 | e''1 ~ | e''2 r2 | s1 | e''1 | s1 | s1 | r2 e''2 ~ | e''1 | s1 | s1 | s1 | s1 | s1 | r2 e''2 ~ | e''2 r2 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''2 r2 | s1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 ~ | e''2 r2 | s1 | e''1 | r2 e''2 | s1 | s1 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''2 r2 | s1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 | s1 | e''1 ~ | e''2 r2 | s1 | e''1 ~ | e''1 ~ | e''2 r2 | s1 | e''1 ~ | e''1 ~ | e''2 r2 | r2 e''2 ~ | e''1 | s1 | r2 e''2 ~ | e''1 ~ | e''1 | s1 | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | s1 | e''1 ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
\\
{
\override RehearsalMark.direction = #DOWN \override RehearsalMark.X-offset = #2 \override RehearsalMark.Y-offset = #-8
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
\override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 | s1 | f'2 r2 | f'1 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'1 ~ | f'2 r2 | s1 | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'2 r2 | s1 | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r2 f'2 | s1 | f'2 r2 | s1 | r2 f'2 | s1 | f'2 r2 | s1 | r2 f'2 | s1 | s1 | f'2 r2 | r2 f'2 | s1 | s1 | f'2 r2 | s1 | s1 | s1 | f'2 r2 | s1 | r2 f'2 | s1 | f'2 r2 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | r2 f'2 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'1 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 ~ | f'1 ~ | f'2 r2 | f'1 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'1 ~ | f'1 | r2 f'2 ~ | f'2 r2 | f'1 ~ | f'1 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'2 r2 | f'1 | r2 f'2 | r2 f'2 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | f'1 ~ | f'2 r2 | r2 f'2 ~ | f'1 ~ | f'1 | s1 | r2 f'2 ~ | f'1 | s1 | f'1 ~ | f'1 ~ | f'2 r2 | s1 | f'1 ~ | f'1 ~ | f'2 r2 | s1 | f'1 ~ | f'2 r2 | r2 f'2 ~ | f'1 ~ | f'1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } r2 f'2 ~ | f'1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'2 r2 | f'2 r2 | r2 f'2 | s1 | f'2 r2 | f'2 r2 | r2 f'2 | s1 | s1 | f'2 r2 | r2 f'2 | r2 f'2 | s1 | f'2 r2 | s1 | r2 f'2 | s1 | f'2 r2 | f'2 r2 | r2 f'2 | s1 | f'2 r2 | f'2 r2 | r2 f'2 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | f'2 r2 | r2 f'2 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 ] \bar "|." }
\\
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\numericTimeSignature
{
\override RehearsalMark.X-offset = #1 \override RehearsalMark.Y-offset = #4
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2 r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | r4 e''2 r4 | s1 | s1 | s1 | s1 | s1 | \mark \default e''4 r2. | s1 | s1 | s1 | s1 | r2. e''4 ~ | e''2. r4 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | r2. e''4 ~ | e''1 ~ | e''4 r2. | s1 | s1 | s1 | s1 | r2. e''4 ~ | e''2. r4 | s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''4 r2 e''4 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. | s1 | s1 | s1 | s1 | \mark \default e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2. | r2. e''4 ~ | e''2. r4 | r4 e''2 r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2 r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2 r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2 r4 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''2. r4 | s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | r4 e''2. ~ | e''1 ~ | e''2. r4 | r2. e''4 ~ | e''1 ~ | e''4 r2. | r2. e''4 ~ | e''1 ~ | e''1 ~ | e''4 r2. | r2. e''4 ~ | e''2. r4 | s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | r4 e''2. ~ | e''1 ~ | e''2. r4 | r2. e''4 ~ | e''1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
\\
{
\override RehearsalMark.direction = #DOWN \override RehearsalMark.X-offset = #2 \override RehearsalMark.Y-offset = #-8
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | r4 f'2 r4 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | r2. f'4 ~ | f'4 r2. | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } r4 f'2. ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 ~ | f'1 ~ | f'4 r2 f'4 ~ | f'1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | r2. f'4 ~ | f'4 r2. | s1 | s1 | r2. f'4 ~ | f'4 r2. | s1 | s1 | r2. f'4 ~ | f'4 r2. | s1 | r4 f'2 r4 | s1 | s1 | s1 | r4 f'2 r4 | s1 | r2. f'4 ~ | f'4 r2. | s1 | s1 | r2. f'4 ~ | f'4 r2. | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | r2. f'4 ~ | f'4 r2. | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'4 r2 f'4 ~ | f'2. r4 | r4 f'2. ~ | f'4 r2 f'4 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r2. f'4 ~ | f'1 ~ | f'1 ~ | f'4 r2. | r2. f'4 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'4 r2. | r4 f'2. ~ | f'1 ~ | f'2. r4 | s1 | r4 f'2. ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'4 r2. | r2. f'4 ~ | f'1 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'4 r2. | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
\\
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\numericTimeSignature
{
\override RehearsalMark.X-offset = #1 \override RehearsalMark.Y-offset = #4
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
\mark \default r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 | r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 | s1 | \mark \default e''1 | s1 | s1 | s1 | e''2 r2 | s1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | s1 | r2 e''2 ~ | e''2 r2 | s1 | e''1 | r2 e''2 | s1 | s1 | e''1 | s1 | s1 | s1 | e''2 r2 | s1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | s1 | r2 e''2 ~ | e''2 r2 | s1 | e''1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''2 r2 | s1 | s1 | s1 | s1 | s1 | e''1 | s1 | s1 | r2 e''2 ~ | e''1 | s1 | r2 e''2 ~ | e''2 r2 | s1 | s1 | e''1 ~ | e''2 r2 | s1 | s1 | e''1 ~ | e''2 r2 | s1 | e''1 | s1 | s1 | r2 e''2 ~ | e''1 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | s1 | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 | s1 | \mark \default e''1 ~ | e''2 r2 | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''1 ~ | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''1 | s1 | \mark \default r2 e''2 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 | r2 e''2 ~ | e''1 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''2 r2 | e''1 ~ | e''1 | r2 e''2 ~ | e''2 r2 | e''2 r2 | e''1 | r2 e''2 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
\\
{
\override RehearsalMark.direction = #DOWN \override RehearsalMark.X-offset = #2 \override RehearsalMark.Y-offset = #-8
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
\override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 | s1 | f'2 r2 | f'1 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | f'1 | r2 f'2 ~ | f'2 r2 | f'2 r2 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 | r2 f'2 | s1 | f'2 r2 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r2 f'2 ~ | f'1 ~ | f'1 ~ | f'1 | r2 f'2 ~ | f'1 ~ | f'2 r2 | f'1 | r2 f'2 ~ | f'1 ~ | f'2 r2 | f'1 ~ | f'1 | r2 f'2 ~ | f'2 r2 | f'1 ~ | f'1 | r2 f'2 ~ | f'1 ~ | f'1 ~ | f'1 | r2 f'2 ~ | f'1 ~ | f'2 r2 | f'1 | r2 f'2 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'2 r2 | f'1 ~ | f'1 | r2 f'2 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'1 | s1 | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 | s1 | r2 f'2 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | f'1 ~ | f'2 r2 | s1 | s1 | f'1 | s1 | s1 | s1 | s1 | s1 | r2 f'2 ~ | f'1 | s1 | s1 | r2 f'2 ~ | f'2 r2 | s1 | f'1 ~ | f'2 r2 | s1 | s1 | f'1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | r2 f'2 ~ | f'1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | r2 f'2 | s1 | s1 | f'2 r2 | r2 f'2 | s1 | s1 | f'2 r2 | s1 | s1 | s1 | f'2 r2 | s1 | r2 f'2 | s1 | f'2 r2 | s1 | r2 f'2 | s1 | s1 | f'2 r2 | r2 f'2 | s1 | s1 | f'2 r2 | r2 f'2 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | f'2 r2 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 | s1 | f'2 r2 | r2 f'2 | r2 f'2 | s1 | f'2 r2 | f'1 | r2 f'2 | s1 | f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 ~ | f'2 r2 | f'2 r2 | r2 f'2 | r2 f'2 | s1 | f'2 r2 | r2 f'2 | r2 f'2 | s1 | f'2 r2 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 | r2 f'2 | s1 | f'2 r2 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
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\numericTimeSignature
{
\override RehearsalMark.X-offset = #1 \override RehearsalMark.Y-offset = #4
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default e''1 ~ | e''4 r2. | r4 e''2. ~ | e''2. r4 | s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | r4 e''2. ~ | e''4 r2. | s1 | r2. e''4 ~ | e''1 ~ | e''4 r2. | r2. e''4 ~ | e''1 ~ | e''1 ~ | e''4 r2. | r2. e''4 ~ | e''2. r4 | s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | r4 e''2. ~ | e''1 ~ | e''2. r4 | r2. e''4 ~ | e''1 | s1 | \mark \default e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''1 | s1 | \mark \default e''1 ~ | e''1 ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''4 r2 e''4 ~ | e''1 ~ | e''1 ~ | e''1 ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''1 ~ | e''2. r4 | r4 e''2. | s1 | \mark \default e''2. r4 | r4 e''2 r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2 r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2 r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''1 ~ | e''2. r4 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2. ~ | e''1 ~ | e''4 r2 e''4 ~ | e''2. r4 | s1 | \mark \default e''4 r2 e''4 ~ | e''4 r2. | s1 | r4 e''2. ~ | e''4 r2. | r2. e''4 ~ | e''2. r4 | r4 e''2 r4 | s1 | r2. e''4 ~ | e''2. r4 | r4 e''2 r4 | s1 | r2. e''4 ~ | e''2. r4 | s1 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2. | s1 | r4 e''2. ~ | e''4 r2 e''4 ~ | e''4 r2 e''4 ~ | e''2. r4 | r4 e''2 r4 | s1 | r2. e''4 ~ | e''2. r4 | r4 e''2 r4 | s1 | r2. e''4 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | r2. e''4 ~ | e''2. r4 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \mark \default s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | s1 | s1 | s1 | s1 | r4 e''2. ~ | e''4 r2. | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | r4 e''2. ~ | e''2. r4 | s1 | s1 | s1 | s1 | s1 | r4 e''2. ~ | e''4 r2. | s1 | r2. e''4 ~ | e''1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
\\
{
\override RehearsalMark.direction = #DOWN \override RehearsalMark.X-offset = #2 \override RehearsalMark.Y-offset = #-8
\override Stem.details.beamed-lengths = #'(5)
\set Score.markFormatter = #format-mark-box-numbers
\tempo \markup {
\concat {
\smaller \general-align #Y #DOWN
\note #"4" #1 \normal-text " ≈ 90"
}}
s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | r2. f'4 ~ | f'4 r2. | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | r2. f'4 ~ | f'4 r2. | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r2. f'4 ~ | f'4 r2. | r4 f'2 r4 | s1 | r2. f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2. | s1 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2. | s1 | r4 f'2 r4 | s1 | r2. f'4 ~ | f'4 r2. | r4 f'2 r4 | s1 | r2. f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2. | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2. | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } r4 f'2. ~ | f'4 r2 f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r2. f'4 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r2. f'4 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'4 r2 f'4 ~ | f'4 r2. | r4 f'2 r4 | r4 f'2. | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'2. r4 | r4 f'2. ~ | f'1 ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'1 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2. ~ | f'1 ~ | f'4 r2 f'4 ~ | f'2. r4 | r4 f'2 r4 | r4 f'2. ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } r4 f'2. ~ | f'4 r2 f'4 ~ | f'1 ~ | f'2. r4 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'2. r4 | r4 f'2. ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | f'1 ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'1 ~ | f'1 ~ | f'1 ~ | f'1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } f'4 r2. | r4 f'2. ~ | f'1 ~ | f'2. r4 | s1 | r4 f'2. ~ | f'2. r4 | s1 | s1 | r4 f'2. ~ | f'4 r2. | r2. f'4 ~ | f'1 ~ | f'4 r2. | s1 | r2. f'4 ~ | f'1 ~ | f'4 r2. | s1 | r2. f'4 ~ | f'2. r4 | s1 | r4 f'2. ~ | f'2. r4 | s1 | s1 | r4 f'2. ~ | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } f'4 r2. | r2. f'4 ~ | f'1 ~ | f'1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic cresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | \override RehearsalMark.direction = #DOWN \mark \markup { \italic decresc. } s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 | s1 ] \bar "|." }
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