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Updated hexachords.py
Browse files- hexachords.py +219 -0
hexachords.py
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| 1 |
+
import os
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| 2 |
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import subprocess
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| 3 |
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from music21 import note, stream, interval, meter, chord, converter, metadata
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| 4 |
+
from ortools.sat.python import cp_model
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| 5 |
+
from verovio import verovio
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| 6 |
+
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| 7 |
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from format_conversions import Format_Converter
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| 8 |
+
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| 9 |
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| 10 |
+
class Hexachord:
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| 11 |
+
known_hexachords = [
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| 12 |
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"6-1 [0,1,2,3,4,5] Chromatic hexachord",
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| 13 |
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"6-7 [0,1,2,6,7,8] Two-semitone tritone scale",
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| 14 |
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"6-Z17A [0,1,2,4,7,8] All-trichord hexachord",
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| 15 |
+
"6-20 [0,1,4,5,8,9] Augmented scale, Ode-to-Napoleon hexachord",
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| 16 |
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"6-Z24A [0,1,3,4,6,8] Minor major eleventh chord",
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| 17 |
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"6-Z24B [0,2,4,5,7,8] Half-diminished eleventh chord",
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| 18 |
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"6-Z25A [0,1,3,5,6,8] Major eleventh chord",
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| 19 |
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"6-Z26 [0,1,3,5,7,8] Major ninth sharp eleventh chord",
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| 20 |
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"6-27B [0,2,3,5,6,9] Diminished eleventh chord",
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| 21 |
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"6-Z28 [0,1,3,5,6,9] Augmented major eleventh chord",
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| 22 |
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"6-Z29 [0,2,3,6,7,9] Bridge chord",
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| 23 |
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"6-30B [0,2,3,6,8,9] Petrushka chord, tritone scale",
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| 24 |
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"6-32 [0,2,4,5,7,9] Diatonic hexachord, minor eleventh chord",
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| 25 |
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"6-33B [0,2,4,6,7,9] Dominant eleventh chord",
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| 26 |
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"6-34A [0,1,3,5,7,9] Mystic chord",
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| 27 |
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"6-34B [0,2,4,6,8,9] Augmented eleventh chord, dominant sharp eleventh chord, Prélude chord",
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| 28 |
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"6-35 [0,2,4,6,8,T] Whole tone scale",
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| 29 |
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"6-Z44A [0,1,2,5,6,9] Schoenberg hexachord",
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| 30 |
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"6-Z46A [0,1,2,4,6,9] Scale of harmonics",
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| 31 |
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"6-Z47B [0,2,3,4,7,9] Blues scale"]
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| 32 |
+
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| 33 |
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def generate_chord_sequence_from_midi_pitches(self, list_of_mp, intrvl="P5"):
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| 34 |
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return self.generate_chord_sequence([note.Note(mp).nameWithOctave for mp in list_of_mp], intrvl=intrvl)
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| 35 |
+
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| 36 |
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def generate_chord_sequence(self, six_notes, intrvl="P5"):
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| 37 |
+
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| 38 |
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fifth = interval.Interval(intrvl) # Perfect fifth
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| 39 |
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all_pc = [n.pitch.pitchClass for n in six_notes]
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| 40 |
+
all_chords = []
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| 41 |
+
for n in six_notes:
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| 42 |
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ch = chord.Chord([n])
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| 43 |
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current_note = n
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| 44 |
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while len(ch) < 6:
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| 45 |
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current_note = fifth.transposeNote(current_note)
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| 46 |
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if current_note.pitch.pitchClass in all_pc and current_note not in ch:
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| 47 |
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while interval.Interval(noteStart=ch[-1], noteEnd=current_note).semitones > (12 + 7):
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| 48 |
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current_note = current_note.transpose(-12)
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| 49 |
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ch.add(current_note)
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| 50 |
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all_chords.append(ch)
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| 51 |
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return all_chords
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| 52 |
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| 53 |
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def generate_3_chords_realizations(self, chord_seq):
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| 54 |
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# lower each of the top to notes by 2 ocatves
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| 55 |
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res1 = []
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| 56 |
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res2 = []
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| 57 |
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res3 = []
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| 58 |
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for ch in chord_seq:
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| 59 |
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new_ch = chord.Chord()
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| 60 |
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for i, n in enumerate(ch.notes):
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| 61 |
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if i == 4 or i == 5:
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| 62 |
+
new_ch.add(n.transpose(-24))
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| 63 |
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else:
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| 64 |
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new_ch.add(n)
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| 65 |
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res1.append(new_ch)
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| 66 |
+
for ch in chord_seq:
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| 67 |
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new_ch = chord.Chord()
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| 68 |
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for i, n in enumerate(ch.notes):
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| 69 |
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if i == 4 or i == 5:
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| 70 |
+
new_ch.add(n.transpose(-24))
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| 71 |
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elif i == 3:
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| 72 |
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new_ch.add(n.transpose(-12))
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| 73 |
+
else:
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| 74 |
+
new_ch.add(n)
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| 75 |
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res2.append(new_ch)
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| 76 |
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for ch in chord_seq:
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| 77 |
+
new_ch = chord.Chord()
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| 78 |
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for i, n in enumerate(ch.notes):
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| 79 |
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if i == 4 or i == 5:
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| 80 |
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new_ch.add(n.transpose(-24))
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| 81 |
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elif i == 3 or i == 2:
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| 82 |
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new_ch.add(n.transpose(-12))
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| 83 |
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else:
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| 84 |
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new_ch.add(n)
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| 85 |
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res3.append(new_ch)
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| 86 |
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return res1, res2, res3
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| 87 |
+
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| 88 |
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def chords_to_stream(self, chords, file_name):
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| 89 |
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s = stream.Stream()
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| 90 |
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s.append(meter.TimeSignature("4/4"))
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| 91 |
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for c in chords:
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| 92 |
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ch = chord.Chord(c)
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| 93 |
+
ch.duration.quarterLength = 4
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| 94 |
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s.append(ch)
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| 95 |
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# s.show('midi')
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| 96 |
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s.write('midi', file_name)
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| 97 |
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return s
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| 98 |
+
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| 99 |
+
def alternate_chords(self, s1, s2):
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| 100 |
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"""Create a new stream alternating between chords from s1 and s2"""
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| 101 |
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new_stream = stream.Stream()
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| 102 |
+
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| 103 |
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# Get chords from both streams
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| 104 |
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chords1 = list(s1.getElementsByClass(chord.Chord))
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| 105 |
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chords2 = list(s2.getElementsByClass(chord.Chord))
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| 106 |
+
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| 107 |
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# Interleave chords from s1 and s2
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| 108 |
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for c1, c2 in zip(chords1, chords2):
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| 109 |
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new_stream.append(c1)
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| 110 |
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new_stream.append(c2)
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| 111 |
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return new_stream
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| 112 |
+
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| 113 |
+
def optimize_voice_leading(self, chord_sequence):
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| 114 |
+
model = cp_model.CpModel()
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| 115 |
+
octave_variables = {}
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| 116 |
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movement_vars = []
|
| 117 |
+
|
| 118 |
+
# Define variables and domains (allowing octave shifts)
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| 119 |
+
for i, ch in enumerate(chord_sequence):
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| 120 |
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for n in ch.notes:
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| 121 |
+
var_name = f"chord_{i}_note_{n.nameWithOctave}"
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| 122 |
+
octave_variables[var_name] = model.NewIntVar(n.octave - 1, n.octave + 1,
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| 123 |
+
var_name) # Allow octave shifts
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| 124 |
+
spread_vars = []
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| 125 |
+
# Add constraints to minimize movement between chords
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| 126 |
+
for i in range(len(chord_sequence) - 1):
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| 127 |
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max_octave = model.NewIntVar(0, 10, "max_pitch" + str(i))
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| 128 |
+
min_octave = model.NewIntVar(0, 10, "min_pitch" + str(i))
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| 129 |
+
for n in chord_sequence[i]:
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| 130 |
+
v = octave_variables[f"chord_{i}_note_{n.nameWithOctave}"]
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| 131 |
+
# model.Add(max_pitch >= v) # max_pitch must be at least as high as any note
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| 132 |
+
# model.Add(min_pitch <= v) # min_pitch must
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| 133 |
+
spread_var = max_octave - min_octave
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| 134 |
+
spread_vars.append(spread_var)
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| 135 |
+
for i in range(len(chord_sequence) - 1):
|
| 136 |
+
for n1, n2 in zip(chord_sequence[i].notes, chord_sequence[i + 1].notes):
|
| 137 |
+
var1 = octave_variables[f"chord_{i}_note_{n1.nameWithOctave}"]
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| 138 |
+
var2 = octave_variables[f"chord_{i + 1}_note_{n2.nameWithOctave}"]
|
| 139 |
+
# Define movement variable
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| 140 |
+
movement_var = model.NewIntVar(0, 36, f"movement_{i}_{n1.name}")
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| 141 |
+
model.AddAbsEquality(movement_var, var2 - var1)
|
| 142 |
+
# Track movement variable in objective function
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| 143 |
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movement_vars.append(movement_var)
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| 144 |
+
# Define objective: minimize sum of all movement values
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| 145 |
+
model.Minimize(sum(spread_vars))
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| 146 |
+
# obj_var = sum(movement_vars)
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| 147 |
+
# model.Minimize(obj_var)
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| 148 |
+
# Solve
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| 149 |
+
solver = cp_model.CpSolver()
|
| 150 |
+
solver.Solve(model)
|
| 151 |
+
# print(solver.Value(obj_var))
|
| 152 |
+
# for v in variables:
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| 153 |
+
# print(v)
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| 154 |
+
# print(variables[v].Proto().domain)
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| 155 |
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# print(solver.Value(variables[v]))
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| 156 |
+
# Apply changes to music21 chord sequence
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| 157 |
+
optimized_chords = []
|
| 158 |
+
for i, ch in enumerate(chord_sequence):
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| 159 |
+
new_chord = chord.Chord(
|
| 160 |
+
[note.Note(f"{n.name}{solver.Value(octave_variables[f'chord_{i}_note_{n.nameWithOctave}'])}")
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| 161 |
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for n in ch.notes])
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| 162 |
+
optimized_chords.append(new_chord)
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| 163 |
+
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| 164 |
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return optimized_chords
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| 165 |
+
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| 166 |
+
def midi_to_svg_file(self, midi_file, output_file):
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| 167 |
+
# score = converter.parse(midi_file)
|
| 168 |
+
# musicxml_data = score.write('musicxml') # Get MusicXML as a string
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| 169 |
+
# # Step 2: Load MusicXML into Verovio
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| 170 |
+
# tk = verovio.toolkit()
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| 171 |
+
# tk.loadData(musicxml_data.encode()) # Convert to bytes and load into Verovio
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| 172 |
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# tk.renderToSVGFile(output_file, 1)
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| 173 |
+
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| 174 |
+
tk = verovio.toolkit()
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| 175 |
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fm = Format_Converter()
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| 176 |
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musicxml = fm.midi_to_musicxml_string(midi_file)
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| 177 |
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mei_str = fm.xml_to_mei_string(tk, musicxml)
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| 178 |
+
# Load MEI and render SVG
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| 179 |
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tk.loadData(mei_str)
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| 180 |
+
svg = tk.renderToSVGFile(output_file)
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| 181 |
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return output_file
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| 182 |
+
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| 183 |
+
def midi_to_svg(self, midi_file, svg_output):
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| 184 |
+
"""Convert MIDI to SVG using Verovio's command-line tool."""
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| 185 |
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score = converter.parse(midi_file)
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| 186 |
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score.metadata = metadata.Metadata()
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| 187 |
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score.metadata.title = ''
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| 188 |
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musicxml_path = "temp.musicxml"
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| 189 |
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score.write('musicxml', fp=musicxml_path)
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| 190 |
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# Run Verovio via command line (since Python API fails)
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| 191 |
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verovio_executable = "verovio/build/verovio" # Ensure correct path
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| 192 |
+
if not os.path.exists(verovio_executable):
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| 193 |
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return "Error: Verovio binary not found!"
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| 194 |
+
# Run Verovio with the full path
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| 195 |
+
command = f"{verovio_executable} {musicxml_path} -o {svg_output} --smufl-text-font embedded --scale 50 --page-width 1000 --page-height 500 --footer none"
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| 196 |
+
result = subprocess.run(command, shell=True, capture_output=True, text=True)
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| 197 |
+
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| 198 |
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if result.returncode != 0:
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| 199 |
+
print("Verovio Error:", result.stderr)
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| 200 |
+
return f"Error running Verovio: {result.stderr}"
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| 201 |
+
return svg_output
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| 202 |
+
|
| 203 |
+
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| 204 |
+
if __name__ == '__main__':
|
| 205 |
+
hexa = Hexachord()
|
| 206 |
+
note_names = ["C3", "Eb3", "E3", "F#3", "G3", "Bb3"]
|
| 207 |
+
notes = [note.Note(n) for n in note_names]
|
| 208 |
+
cs1 = hexa.generate_chord_sequence(notes, intrvl="P4")
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| 209 |
+
# cs1 = generate_chord_sequence(["E3", "G3", "Ab3", "B3", "C4", "Eb4"])
|
| 210 |
+
# cs2 = generate_chord_sequence(["C3", "F3", "F#3", "A3", "B4", "E4"])
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| 211 |
+
# alternation = alternate_chords(cs1, cs2)
|
| 212 |
+
# alternation.write('midi',"alternation.mid")
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| 213 |
+
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| 214 |
+
hexa.chords_to_stream(cs1, 'temp.mid').show('text')
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| 215 |
+
# optimized = optimize_voice_leading([c1, c2, c3])
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| 216 |
+
optimized = hexa.optimize_voice_leading(cs1)
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| 217 |
+
stream1 = stream.Stream(optimized)
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| 218 |
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stream1.show('text')
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| 219 |
+
# stream1.write('midi', "optimized.mid")
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