def top_level_eighths():
r'''Top-level eighths.
444 eighths
structure rotated in time between four voices, like fleurs
downbeat avoidance: tupletted structures start coincident with eighth
tupletted structures may frequently start with rest
grouping durations between 2 and 8 eighths
beaming follows top-level eighth-note grouping
top-level eighths may be prolated
smart secondary beams show essentially thirty-seconds
secondary prolation possible
only at beginning or end of top-level figure, in thirds
primary beam extends across tupletted figures
primary beam encompasses essentially all 444 eighths
deletions may happen, again by thirds
'''
first_numerators, second_numerators = make_numerators()
eighths = first_numerators
assert eighths == [
[5, 2, 1, 6, 3, 6, 2, 5, 5, 5, 2, 2, 5],
[8, 2, 4, 3, 4, 4, 4, 3, 1, 3, 2, 4, 7],
[8, 2, 2, 3, 2, 3, 7, 7, 1, 6, 7],
[7, 2, 2, 8, 2, 5, 7, 8, 2, 3, 1, 4],
[3, 4, 3, 6, 6, 6, 6, 6, 6, 6],
[6, 6, 6, 6, 6, 2, 2, 7, 6]]
eighths = sequencetools.permute_sequence(eighths, [1, 4, 5, 0, 2, 3])
eighths = sequencetools.flatten_sequence(eighths)
eighths = list(eighths)
eighths += second_numerators
assert eighths == [8, 2, 4, 3, 4, 4, 4, 3, 1, 3, 2, 4, 7, 3, 4, 3,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 7, 6, 5, 2, 1, 6,
3, 6, 2, 5, 5, 5, 2, 2, 5, 8, 2, 2, 3, 2, 3, 7, 7, 1, 6, 7, 7,
2, 2, 8, 2, 5, 7, 8, 2, 3, 1, 4, 2, 5, 7, 7, 7, 7, 7, 2, 1, 2, 4,
7, 1, 7, 3, 5, 6, 1, 7, 7, 7, 7, 7, 2, 4, 3, 4, 4, 1, 2, 5, 2, 5]
assert sum(eighths) == 444
assert len(eighths) == 101
eighths = sequencetools.partition_by_weights_ratio(eighths, [1, 1, 1, 1, 1])
top_level_eighths = []
for n in range(4):
top_level = sequencetools.rotate(eighths, -n)
top_level = sequencetools.flatten_sequence(top_level)
assert sum(top_level) == 444
assert len(top_level) == 101
top_level = merge_top_level(top_level)
top_level = sequencetools.flatten_sequence(top_level)
assert sum(top_level) == 444
assert len(top_level) == 88
top_level_eighths.append(top_level)
top_level_eighths = cast_top_level_eighths(top_level_eighths)
return top_level_eighths
def harmonic_rhythms():
# 3 * 148 = 444 eighth notes total in fleurs
first_numerators, second_numerators = make_numerators()
assert second_numerators == [2, 5, 7, 7, 7, 7, 7, 2, 1, 2, 4, 7,
1, 7, 3, 5, 6, 1, 7, 7, 7, 7, 7, 2, 4, 3, 4, 4, 1, 2, 5, 2, 5]
assert sum(second_numerators) == 148
assert len(second_numerators) == 33
second_numerators *= 3
assert sum(second_numerators) == 444
assert len(second_numerators) == 99
#core_partition_lengths = (6, 6, 3, 3, 1, 1, 1, 1, 6, 3, 1, 1)
#assert sum(core_partition_lengths) == 33
#assert len(core_partition_lengths) == 12
first = [12] * 2 + [6] * 3 + [3] * 6 + [1] * 18
second = [12] * 0 + [6] * 1 + [3] * 2 + [1] * 9
core_partition_lengths = first + second
assert sum(core_partition_lengths) == 99
assert len(core_partition_lengths) == 41
harmonic_rhythms = []
for n in range(4):
#partition_lengths = sequencetools.rotate(core_partition_lengths, -n)
#partition = sequencetools.partition_by_lengths(second_numerators,
# partition_lengths, cyclic = False, overhang = False)
instrument_numerators = sequencetools.rotate(second_numerators, -n)
partition = sequencetools.partition_by_lengths(instrument_numerators,
core_partition_lengths, cyclic = False, overhang = False)
harmonic_rhythm = [sum(part) for part in partition]
assert sum(harmonic_rhythm) == 444
assert len(harmonic_rhythm) == 41
harmonic_rhythms.append(harmonic_rhythm)
return harmonic_rhythms
