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5 Finger Chord Sequences With No Finger Reuse
#!/usr/bin/env python3
import itertools
def same_finger(ngram):
fingers = 0
for chord in ngram:
if chord & fingers:
return False
fingers |= chord
return True
def get_fingers(ngram):
return [f"{chord:05b}" for chord in ngram]
def count_fingers(ngram):
return sum([f"{chord:b}".count("1") for chord in ngram])
chords = list(range(1, 32))
bigrams = list(filter(same_finger, itertools.permutations(chords, 2)))
trigrams = list(filter(same_finger, itertools.permutations(chords, 3)))
lf_chords = sorted([[chord] for chord in chords], key=count_fingers)
lf_bigrams = sorted(bigrams, key=count_fingers)
lf_trigrams = sorted(trigrams, key=count_fingers)
print(*[(get_fingers(chord), count_fingers(chord)) for chord in lf_chords], sep='\n')
print(*[(get_fingers(bigram), count_fingers(bigram)) for bigram in lf_bigrams], sep='\n')
print(*[(get_fingers(trigram), count_fingers(trigram)) for trigram in lf_trigrams], sep='\n')
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