def _generate_rhythmical_data(
fundamental: pitches.JustIntonationPitch,
n_periods_of_fundamental_per_beat: int,
n_repetitions_of_rhythm: int,
partial: int,
) -> typing.Tuple[typing.Any]:
"""Generate rhythmical data for the respective partial.
The rhythmical data contain the following information:
1. How often the rhythm get repeated (int)
2. How many periods one beat last (int)
3. The respective rhythm with duration values in seconds
(basic.SequentialEvent[basic.SimpleEvent])
4. Indispensability of each beat (typing.Tuple[int])
"""
duration_of_one_period = 1 / (fundamental.frequency * partial)
duration_of_one_beat = (duration_of_one_period *
n_periods_of_fundamental_per_beat)
rhythm = basic.SequentialEvent(
[basic.SimpleEvent(duration_of_one_beat) for _ in range(partial)])
if partial == 1:
indispensability_for_bar = (0, )
else:
indispensability_for_bar = indispensability.indispensability_for_bar(
(partial, ))
return (
n_repetitions_of_rhythm,
n_periods_of_fundamental_per_beat,
rhythm,
indispensability_for_bar,
)
def solve(self, a: int, b: int, x: int, mode: modes.Mode,
rhythm: tuple) -> tuple:
try:
assert all((rhythm[0] >= 5, rhythm[1] >= 1))
except AssertionError:
msg = "Rhythmical structure has to be bigger than (4, 0)."
raise ValueError(msg)
primes = (a, b, x)
a, b = primes[self.main_prime], primes[self.side_prime]
x = tuple(p for p in (mode.x, mode.y, mode.z) if p not in (a, b))[0]
data0 = FlippedEx.detect_data_for_pitches(
((x, b), (a, b), (a, x), (b, x), (b, a), (x, a)), mode)
data1 = FlippedEx.detect_data_for_pitches(
((a, x), (a, b), (x, b), (x, a), (b, a), (b, x)), mode)
if data0[2] > data1[2]:
data = data0
else:
data = data1
if rhythm[1] == 1:
rhythms_middle = tools.euclid(rhythm[0], 5)
rhythms_else = rhythm[0]
middle = tuple(
old.Tone(p, r) for p, r in zip((mel.TheEmptyPitch, ) +
data[0], rhythms_middle))
return ((old.Rest(rhythms_else), ), middle,
(old.Rest(rhythms_else), ))
else:
complete_duration = rhythm[0] * rhythm[1]
amount_pitches = len(data[0]) + len(
data[1]) + 1 # middle + high + rest
rhythmic_ranking = indispensability.bar_indispensability2indices(
indispensability.indispensability_for_bar(
rhythm))[:amount_pitches]
positions_middle = rhythmic_ranking[::2]
positions_high = (0, ) + rhythmic_ranking[1::2]
low_line = (old.Rest(complete_duration), )
middle_line = (old.Tone(p, r) for p, r in zip(
(mel.TheEmptyPitch, ) + data[0],
(b - a for a, b in zip(
positions_middle,
positions_middle[1:] + (complete_duration, ),
)),
))
high_line = (old.Tone(p, r) for p, r in zip(
(mel.TheEmptyPitch, ) + data[1],
(b - a
for a, b in zip(positions_high, positions_high[1:] +
(complete_duration, ))),
))
return (low_line, middle_line, high_line)
def _calculate_metricity_per_beat(self) -> tuple:
primes = list(globals_.TIME_SIGNATURES2COMPOSITION_STRUCTURES[
abjad.TimeSignature((self.numerator, self.denominator))])
duration = self.duration
while (duration / functools.reduce(operator.mul, primes) >
self._smallest_expected_unit):
primes.append(2)
return tools.scale(
indispensability.indispensability_for_bar(tuple(primes)), 0, 1)
def _generate_potential_meters() -> tuple:
"""Return tuple filled with subtuples where one subtuple represents one meter.
Each subtuple is composed of (TIME_SIGNATURE, INDISPENSABILITY_PER_BEAT).
"""
return tuple(
(
abjad.TimeSignature(ts),
tools.scale(indispensability.indispensability_for_bar(primes), 0, 1),
)
for ts, primes in globals_.AVAILABLE_TIME_SIGNATURES
)
def _get_position_metricity_pairs(
time_signature: tuple, smallest_unit: fractions.Fraction
) -> tuple:
ts = fractions.Fraction(
time_signature[0].numerator, time_signature[0].denominator
)
current_unit_size = ts / functools.reduce(operator.mul, time_signature[1])
smallest_unit = min((smallest_unit, current_unit_size))
factors = tuple(time_signature[1])
if smallest_unit < current_unit_size:
factors += (int(current_unit_size / smallest_unit),)
metricities = tools.scale(
indispensability.indispensability_for_bar(factors), 0, 1
)
return tuple((smallest_unit, metricity) for metricity in metricities)
def find_weight_per_beat(prime: int) -> tuple:
weights = indispensability.indispensability_for_bar(
tuple(prime_factors.factorise(prime)))
maxima = max(weights)
return tuple(w / maxima for w in weights)
def rhythm_maker(self) -> tuple:
n_bars = self._n_bars
# for first attack every voice should have a theoretical attack
# (rests are explicitly controlled through the start_harmony argument)
distribution_for_first_attack_per_bar = ((0, 1, 2), )
distribution_for_first_attack_per_bar += tuple(
next(distribution_function_for_first_attack_per_bar)
for i in range(n_bars - 1))
rhythm_per_voice = []
max_attacks_per_bar = min(self._metrical_numbers)
for voice_idx, metrical_prime, density, curve in zip(
range(3), self._metrical_numbers, density_per_voice,
curve_per_voice):
rhythm = []
# if density between 0 and 1 understand as percentage
# for density 1 only understand it as percentage if type is
# float
if (density >= 0
and density < 1) or (density == 1
and type(density) is float):
n_attacks_per_bar = int(density * max_attacks_per_bar)
# else use it as an absolute number
else:
assert density <= max_attacks_per_bar
n_attacks_per_bar = int(density)
for (distribution_for_first_attack
) in distribution_for_first_attack_per_bar:
has_first_attack = voice_idx in distribution_for_first_attack
n_attacks = n_attacks_per_bar + has_first_attack
if rhythmic_function == "euclid":
current_rhythm = tools.euclid(metrical_prime,
n_attacks)
elif rhythmic_function == "barlow":
if metrical_prime == 10:
divided = (2, 5)
else:
divided = tuple(
prime_factors.factorise(metrical_prime))
ranking = indispensability.bar_indispensability2indices(
indispensability.indispensability_for_bar(divided))
choosen_attacks = sorted(ranking[:n_attacks])
current_rhythm = tuple(b - a for a, b in zip(
choosen_attacks, choosen_attacks[1:] +
[metrical_prime]))
else:
msg = "Unknown rhythmic function {}.".format(
rhythmic_function)
raise NotImplementedError(msg)
if not has_first_attack:
rhythm[-1] += current_rhythm[0]
current_rhythm = current_rhythm[1:]
rhythm.extend(current_rhythm)
rhythm_per_voice.append(binr.Compound(rhythm))
return tuple(rhythm_per_voice)