def get_undirected_interval_grade(self, chorale):
key = chorale.analyze('key')
chorale_distribution = histogram_to_distribution(
get_interval_histogram(chorale, directed=False))
dataset_distribution = self.distributions[
f'{key.mode}_undirected_interval_distribution']
u, v, u_weights, v_weights = distributions_to_wasserstein_inputs(
chorale_distribution, dataset_distribution)
return wasserstein_distance(u, v, u_weights, v_weights)
def get_harmonic_quality_grade(self, chorale):
key = chorale.analyze('key')
chorale_distribution = histogram_to_distribution(
get_harmonic_quality_histogram(chorale))
dataset_distribution = self.distributions[
f'{key.mode}_harmonic_quality_distribution']
u, v, u_weights, v_weights = distributions_to_wasserstein_inputs(
chorale_distribution, dataset_distribution)
return wasserstein_distance(u, v, u_weights, v_weights)
def get_B_directed_interval_grade(self, chorale):
key = chorale.analyze('key')
voice_ih = get_SATB_interval_histogram(chorale, voice=3, directed=True)
chorale_distribution = histogram_to_distribution(voice_ih)
dataset_distribution = self.distributions[
f'{key.mode}_B_directed_interval_distribution']
u, v, u_weights, v_weights = distributions_to_wasserstein_inputs(
chorale_distribution, dataset_distribution)
return wasserstein_distance(u, v, u_weights, v_weights)
def get_rhythm_grade(self, chorale):
"""
Arguments
chorale: music21.stream.Stream
Returns Wasserstein distance between normalized chorale rhythm distribution and normalized dataset rhythm distribution
"""
chorale_distribution = histogram_to_distribution(
get_rhythm_histogram(chorale))
dataset_distribution = self.distributions['rhythm_distribution']
u, v, u_weights, v_weights = distributions_to_wasserstein_inputs(
chorale_distribution, dataset_distribution)
return wasserstein_distance(u, v, u_weights, v_weights)
def get_note_grade(self, chorale):
"""
Arguments
chorale: music21.stream.Stream
Returns Wasserstein distance between normalized chorale note distribution and normalized dataset note distribution
"""
key = chorale.analyze('key')
chorale_distribution = histogram_to_distribution(
get_note_histogram(chorale, key))
dataset_distribution = self.distributions[
f'{key.mode}_note_distribution']
u, v, u_weights, v_weights = distributions_to_wasserstein_inputs(
chorale_distribution, dataset_distribution)
return wasserstein_distance(u, v, u_weights, v_weights)
def get_error_grade(self, chorale):
num_notes = len(chorale.flat.notes)
chorale_histogram = get_error_histogram(chorale, self.voice_ranges)
num_errors = sum(chorale_histogram.values())
# if num_errors == 0, the coefficient will be 0, so we can sidestep the calculation of wasserstein
if num_errors == 0:
return 0
chorale_distribution = histogram_to_distribution(chorale_histogram)
dataset_distribution = self.distributions['error_distribution']
error_note_ratio = num_errors / num_notes
u, v, u_weights, v_weights = distributions_to_wasserstein_inputs(
chorale_distribution, dataset_distribution)
return wasserstein_distance(u, v, u_weights, v_weights) * (
error_note_ratio / self.error_note_ratio)
def get_repeated_sequence_grade(self, chorale):
sh = get_repeated_sequence_histogram(chorale)
chorale_distribution = histogram_to_distribution(sh)
dataset_distribution = self.distributions[
'repeated_sequence_2_distribution']
max_seq = np.max(
list(chorale_distribution.keys()) +
list(dataset_distribution.keys())) # in ticks
chorale_list, dataset_list = [0] * (max_seq + 1), [0] * (max_seq + 1)
# populate chorale_list at the indices corresponding to keys in chorale_distribution
for seq_len in chorale_distribution:
chorale_list[seq_len] = chorale_distribution[seq_len]
for seq_len in dataset_distribution:
dataset_list[seq_len] = dataset_distribution[seq_len]
if np.sum(chorale_list) == 0:
chorale_list[0] = 1
vals = [i for i in range(len(chorale_list))]
return wasserstein_distance(vals, vals, chorale_list, dataset_list)
from Grader.compute_chorale_histograms import get_note_histogram
from Grader.distribution_helpers import histogram_to_distribution
from Grader.voice_leading_helpers import find_parallel_8ve_5th_errors
from transformer_bach.utils import parse_xml
# specify the chorale here (example code assumes Bach dataset has been created)
BACH_DIR = 'chorales/bach_chorales'
chorale = parse_xml(f'{BACH_DIR}/0.xml')
grader = Grader(
# use default features (see paper)
features=FEATURES,
pickle_dir='original',
)
grade, feature_vector = grader.grade_chorale(chorale)
print(f'Grade: {grade}')
for f, g in zip(FEATURES, feature_vector):
print(f'{f}: {g}')
# show the distribution of notes in the given chorale (this can be modified for other features)
key = chorale.analyze('key')
chorale_distribution = histogram_to_distribution(get_note_histogram(chorale, key))
print(f'Chorale distribution: {chorale_distribution}')
dataset_distribution = grader.distributions[f'{key.mode}_note_distribution']
print(f'Bach distribution: {dataset_distribution}')
# example to find and print parallel errors in chorale
error_histogram, errors = find_parallel_8ve_5th_errors(chorale)
print(errors)
def calculate_distributions(self):
print('Calculating ground-truth distributions over Bach chorales')
# initialize all histograms
major_nh, minor_nh = Counter(), Counter(
) # notes (for chorales in major)
# notes (for chorales in minor)
rh = Counter() # rhythm
major_hqh, minor_hqh = Counter(), Counter() # harmonic quality
major_directed_ih, minor_directed_ih = Counter(), Counter(
) # directed intervals for whole chorale
major_S_directed_ih, minor_S_directed_ih = Counter(), Counter(
) # ... for soprano
major_A_directed_ih, minor_A_directed_ih = Counter(), Counter(
) # ... for alto
major_T_directed_ih, minor_T_directed_ih = Counter(), Counter(
) # ... for tenor
major_B_directed_ih, minor_B_directed_ih = Counter(), Counter(
) # ... for bass
major_undirected_ih, minor_undirected_ih = Counter(), Counter(
) # undirected intervals for whole chorale
major_S_undirected_ih, minor_S_undirected_ih = Counter(), Counter(
) # ... for soprano
major_A_undirected_ih, minor_A_undirected_ih = Counter(), Counter(
) # ... for alto
major_T_undirected_ih, minor_T_undirected_ih = Counter(), Counter(
) # ... for tenor
major_B_undirected_ih, minor_B_undirected_ih = Counter(), Counter(
) # ... for bass
eh, peh = Counter(), Counter() # errors (not including parallelism)
# parallel errors (octaves and fifths)
sh_1, sh_2, S_sh, A_sh, T_sh, B_sh = Counter(), Counter(), Counter(
), Counter(), Counter(), Counter() # repeated sequences
ssh = Counter() # self-similarity
ssh.update({b: 0 for b in BINS[:-1]})
num_notes = 0 # number of notes
# calculate histograms for all Bach chorales (for relevant features)
for chorale in tqdm(self.iterator):
key = chorale.analyze('key')
if 'note' in self.features:
chorale_nh = get_note_histogram(chorale, key)
if key.mode == 'major':
major_nh += chorale_nh
else:
minor_nh += chorale_nh
if 'harmonic_quality' in self.features:
if key.mode == 'major':
major_hqh += get_harmonic_quality_histogram(chorale)
else:
minor_hqh += get_harmonic_quality_histogram(chorale)
if 'directed_interval' in self.features:
if key.mode == 'major':
major_directed_ih += get_interval_histogram(chorale,
directed=True)
else:
minor_directed_ih += get_interval_histogram(chorale,
directed=True)
if 'undirected_interval' in self.features:
if key.mode == 'major':
major_undirected_ih += get_interval_histogram(
chorale, directed=False)
else:
minor_undirected_ih += get_interval_histogram(
chorale, directed=False)
if 'S_directed_interval' in self.features:
if key.mode == 'major':
major_S_directed_ih += get_SATB_interval_histogram(
chorale, voice=0, directed=True)
else:
minor_S_directed_ih += get_SATB_interval_histogram(
chorale, voice=0, directed=True)
if 'A_directed_interval' in self.features:
if key.mode == 'major':
major_A_directed_ih += get_SATB_interval_histogram(
chorale, voice=1, directed=True)
else:
minor_A_directed_ih += get_SATB_interval_histogram(
chorale, voice=1, directed=True)
if 'T_directed_interval' in self.features:
if key.mode == 'major':
major_T_directed_ih += get_SATB_interval_histogram(
chorale, voice=2, directed=True)
else:
minor_T_directed_ih += get_SATB_interval_histogram(
chorale, voice=2, directed=True)
if 'B_directed_interval' in self.features:
if key.mode == 'major':
major_B_directed_ih += get_SATB_interval_histogram(
chorale, voice=3, directed=True)
else:
minor_B_directed_ih += get_SATB_interval_histogram(
chorale, voice=3, directed=True)
if 'S_undirected_interval' in self.features:
if key.mode == 'major':
major_S_undirected_ih += get_SATB_interval_histogram(
chorale, voice=0, directed=False)
else:
minor_S_undirected_ih += get_SATB_interval_histogram(
chorale, voice=0, directed=False)
if 'A_undirected_interval' in self.features:
if key.mode == 'major':
major_A_undirected_ih += get_SATB_interval_histogram(
chorale, voice=1, directed=False)
else:
minor_A_undirected_ih += get_SATB_interval_histogram(
chorale, voice=1, directed=False)
if 'T_undirected_interval' in self.features:
if key.mode == 'major':
major_T_undirected_ih += get_SATB_interval_histogram(
chorale, voice=2, directed=False)
else:
minor_T_undirected_ih += get_SATB_interval_histogram(
chorale, voice=2, directed=False)
if 'B_undirected_interval' in self.features:
if key.mode == 'major':
major_B_undirected_ih += get_SATB_interval_histogram(
chorale, voice=3, directed=False)
else:
minor_B_undirected_ih += get_SATB_interval_histogram(
chorale, voice=3, directed=False)
if 'rhythm' in self.features:
rh += get_rhythm_histogram(chorale)
if 'error' in self.features:
eh += get_error_histogram(chorale, self.voice_ranges)
if 'parallel_error' in self.features:
peh += get_parallel_error_histogram(chorale)
if 'repeated_sequence_1' in self.features:
sh_1 += get_repeated_sequence_histogram_1(chorale)
if 'repeated_sequence_2' in self.features:
sh_2 += get_repeated_sequence_histogram_2(chorale)
if 'S_repeated_sequence' in self.features:
sh += get_repeated_sequence_histogram(chorale, voice=0)
if 'A_repeated_sequence' in self.features:
sh += get_repeated_sequence_histogram(chorale, voice=1)
if 'T_repeated_sequence' in self.features:
sh += get_repeated_sequence_histogram(chorale, voice=2)
if 'B_repeated_sequence' in self.features:
sh += get_repeated_sequence_histogram(chorale, voice=3)
if 'self_similarity' in self.features:
ssh.update(get_self_similarity_histogram(chorale))
# number of notes
num_notes += len(chorale.flat.notes)
print(f'len(ssh.keys()): {len(ssh.keys())}')
# proportion of errors to notes
error_note_ratio = sum(eh.values()) / num_notes
# proportion of parallel errors to notes
parallel_error_note_ratio = sum(peh.values()) / num_notes
distributions = {
'major_note_distribution': major_nh,
'minor_note_distribution': minor_nh,
'rhythm_distribution': rh,
'major_harmonic_quality_distribution': major_hqh,
'minor_harmonic_quality_distribution': minor_hqh,
'major_directed_interval_distribution': major_directed_ih,
'minor_directed_interval_distribution': minor_directed_ih,
'major_S_directed_interval_distribution': major_S_directed_ih,
'minor_S_directed_interval_distribution': minor_S_directed_ih,
'major_A_directed_interval_distribution': major_A_directed_ih,
'minor_A_directed_interval_distribution': minor_A_directed_ih,
'major_T_directed_interval_distribution': major_T_directed_ih,
'minor_T_directed_interval_distribution': minor_T_directed_ih,
'major_B_directed_interval_distribution': major_B_directed_ih,
'minor_B_directed_interval_distribution': minor_B_directed_ih,
'major_undirected_interval_distribution': major_undirected_ih,
'minor_undirected_interval_distribution': minor_undirected_ih,
'major_S_undirected_interval_distribution': major_S_undirected_ih,
'minor_S_undirected_interval_distribution': minor_S_undirected_ih,
'major_A_undirected_interval_distribution': major_A_undirected_ih,
'minor_A_undirected_interval_distribution': minor_A_undirected_ih,
'major_T_undirected_interval_distribution': major_T_undirected_ih,
'minor_T_undirected_interval_distribution': minor_T_undirected_ih,
'major_B_undirected_interval_distribution': major_B_undirected_ih,
'minor_B_undirected_interval_distribution': minor_B_undirected_ih,
'error_distribution': eh,
'parallel_error_distribution': peh,
'repeated_sequence_1_distribution': sh_1,
'repeated_sequence_2_distribution': sh_2,
'S_repeated_sequence_distribution': S_sh,
'A_repeated_sequence_distribution': A_sh,
'T_repeated_sequence_distribution': T_sh,
'B_repeated_sequence_distribution': B_sh,
'self_similarity_distribution': ssh
}
# normalize each histogram by the sum of dictionary values, converting to distribution
for dist in distributions:
distributions[dist] = histogram_to_distribution(
distributions[dist])
self.error_note_ratio = error_note_ratio
self.parallel_error_note_ratio = parallel_error_note_ratio
self.distributions = distributions
