def _build_non_tonal_pitch_map(self, pmap):
octave_start = self._domain_pitch_range.start_index // 12
octave_end = self._domain_pitch_range.end_index // 12
for octave in range(octave_start, octave_end + 1):
for ltr in 'ABCDEFG':
for aug in ['bb', 'b', '', '#', "##"]:
p = DiatonicPitch(octave, DiatonicFoundation.get_tone(ltr + aug))
if self._domain_pitch_range.is_pitch_inbounds(p) and p not in pmap.keys():
closest_p, closest_distance = self._find_closest_pitch(p)
if closest_p not in pmap.keys():
continue
closest_p_prime = pmap[closest_p]
t = self.tonal_function[p.diatonic_tone]
if closest_p > p:
o = closest_p_prime.octave + 1 if DiatonicPitch.crosses_c(closest_p_prime.diatonic_tone,
t,
True) else closest_p_prime.octave
else:
o = closest_p_prime.octave - 1 if DiatonicPitch.crosses_c(closest_p_prime.diatonic_tone,
t,
False) else closest_p_prime.octave
p_prime = DiatonicPitch(o, t)
pmap[p] = p_prime
# The mapping is not-symmetrical.
# e.g. E-pentatonic reflection_tests on G#, f(A#)->G and f(g)->G##
return pmap
def test_major_modality(self):
print('Testing Major Modality: D-Major, cue=G:4')
domain_tonality = Tonality.create(ModalityType.Major, DiatonicFoundation.get_tone('D'))
cue_pitch = DiatonicPitch.parse('G:4')
domain_pitch_range = PitchRange.create('D:3', 'C#:6')
f = ChromaticPitchReflectionFunction(domain_tonality, cue_pitch, domain_pitch_range, FlipType.CenterTone)
TestChromaticPitchReflectionFunction.print_function(f)
# Ensure all domain keys are in the domain_pitch_range
for pitch in f.domain:
assert domain_pitch_range.is_pitch_inbounds(pitch), \
'Pitch {0} is not in range {1}.'.format(pitch, domain_pitch_range)
assert DiatonicPitch.parse('D:3') in f.domain
assert DiatonicPitch.parse('C#:6') in f.domain
# Test for octave coverage
assert 6 == f['D:3'].octave
assert 5 == f['C#:4'].octave
assert 5 == f['D:4'].octave
assert 4 == f['C#:5'].octave
assert 4 == f['D:5'].octave
assert 3 == f['C#:6'].octave
def get_end_pitch(self, pitch):
"""
Given a pitch and this interval, Assuming pitch is the starting pitch of the interval,
compute the end pitch.
Args:
pitch: DiatonicPitch
Returns:
DiatonicPitch of end tone
"""
diatonic_dist = pitch.diatonic_distance() + self.diatonic_distance
tone_index = diatonic_dist % 7
end_pitch_string = DiatonicTone.get_diatonic_letter(tone_index)
end_pitch_octave = diatonic_dist // 7
chromatic_dist = pitch.chromatic_distance + self.chromatic_distance
normal_pitch = DiatonicPitch(
end_pitch_octave, DiatonicFoundation.get_tone(end_pitch_string))
alteration = chromatic_dist - normal_pitch.chromatic_distance
end_pitch_string += DiatonicTone.augmentation(alteration)
return DiatonicPitch.parse(end_pitch_string + ':' +
str(end_pitch_octave))
def test_low_range(self):
ranges = PitchRange.create("A:0", "C:5")
for modality_type in SYSTEM_MODALITIES:
for validTone in ModalityFactory.create_modality(modality_type).get_valid_root_tones():
tonality = Tonality.create(modality_type, DiatonicFoundation.get_tone(validTone))
pitch_scale = PitchScale(tonality, ranges)
print('Scale {0} {1} on {2}: {3}'.format(validTone, modality_type.name, ranges,
','.join(map(get_symbol, pitch_scale.pitch_scale))))
scale_check(pitch_scale, tonality)
def test_melodic_minor_modality(self):
print('Testing Melodic Minor Modality: C-MelodicMinor, cue=Eb:3')
domain_tonality = Tonality.create(ModalityType.MelodicMinor, DiatonicFoundation.get_tone('C'))
cue_pitch = DiatonicPitch.parse('Eb:3')
domain_pitch_range = PitchRange.create('D:4', 'F:5')
f = ChromaticPitchReflectionFunction(domain_tonality, cue_pitch, domain_pitch_range, FlipType.CenterTone)
TestChromaticPitchReflectionFunction.print_function(f)
assert 2 == f['D:4'].octave
assert 2 == f['G:4'].octave
assert 1 == f['A:4'].octave
assert 1 == f['C:5'].octave
assert 1 == f['f:5'].octave
def test_natural_minor_modality(self):
print('Testing Natural Minor Modality: C-Major, cue=Eb:3')
domain_tonality = Tonality.create(ModalityType.NaturalMinor, DiatonicFoundation.get_tone('C'))
cue_pitch = DiatonicPitch.parse('Eb:3')
domain_pitch_range = PitchRange.create('D:2', 'F:4')
f = ChromaticPitchReflectionFunction(domain_tonality, cue_pitch, domain_pitch_range, FlipType.CenterTone)
TestChromaticPitchReflectionFunction.print_function(f)
# Test for octave coverage
assert 4 == f['D:2'].octave
assert 3 == f['Bb:2'].octave
assert 3 == f['C:3'].octave
assert 2 == f['Bb:3'].octave
assert 2 == f['F:4'].octave
def test_book_examples(self):
modality = ModalityFactory.create_modality(ModalityType.Major)
assert modality is not None
modality = ModalityFactory.create_modality(
ModalityType.MajorPentatonic, 1)
assert modality is not None
my_modality = 'my_modality'
modality_type = ModalityType(my_modality)
incremental_interval_strs = [
'P:1', 'm:2', 'M:3', 'm:2', 'm:2', 'M:2', 'A:2'
]
modality_spec = ModalitySpec(modality_type, incremental_interval_strs)
ModalityFactory.register_modality(modality_type, modality_spec)
modality = ModalityFactory.create_modality(ModalityType(my_modality))
assert modality is not None
tones = modality.get_tonal_scale(DiatonicFoundation.get_tone('Eb'))
print('[{0}]'.format(','.join(
str(tone.diatonic_symbol) for tone in tones)))
def print_function(f):
domain_tonality = f.domain_tonality
tones = domain_tonality.annotation[:len(domain_tonality.annotation) -
1]
for t in tones:
print('{0} --> {1}'.format(t.diatonic_symbol,
f[t].diatonic_symbol))
print('------------------------')
# print for domain tone letters not in the domain tonality
for letter in 'ABCDEFG':
found = False
for t in tones:
if t.diatonic_letter == letter:
found = True
break
if not found:
ltr_tone = DiatonicFoundation.get_tone(letter)
print('{0} --> {1}'.format(ltr_tone.diatonic_symbol,
f[ltr_tone].diatonic_symbol))
def __init__(self, octave, diatonic_tone):
"""
Constructor
Args:
octave: integer >=0
diatonic_tone: tone or letter representation of the diatonic tone, e.g. D#
Note:
The tone is relative to the partition based on tonal_offset.
So, Cb:4 is really B:3 - however we retain 4 as the partition as Cb is relative to the 4th.
Same with B#4 which is really C:5, we retain the 4.
So the partition is not the actual partition, but the relative partition number.
"""
self.__octave = octave
if isinstance(diatonic_tone, DiatonicTone):
self.__diatonic_tone = diatonic_tone
else:
self.__diatonic_tone = DiatonicFoundation.get_tone(diatonic_tone)
self.__chromatic_distance = 12 * octave + self.diatonic_tone.tonal_offset
def test_secondary_chord(self):
print('----- test_secondary_tonality -----')
diatonic_tonality = Tonality.create(ModalityType.Major,
DiatonicFoundation.get_tone("C"))
chort_t_i = TertianChordTemplate.parse('tI')
chord_i = chort_t_i.create_chord(diatonic_tonality)
chord_v_ii = SecondaryChordTemplate.parse('V/ii').create_chord(
diatonic_tonality)
chord_vi_v = SecondaryChordTemplate.parse('vi/V').create_chord(
diatonic_tonality)
chord_t_ii = TertianChordTemplate.parse('tii')
chord_ii = chord_t_ii.create_chord(diatonic_tonality)
hc_track = HarmonicContextTrack()
hc_track.append(
HarmonicContext(diatonic_tonality, chord_i, Duration(1)))
hc_track.append(
HarmonicContext(diatonic_tonality, chord_v_ii, Duration(1)))
hc_track.append(
HarmonicContext(diatonic_tonality, chord_vi_v, Duration(1)))
hc_track.append(
HarmonicContext(diatonic_tonality, chord_ii, Duration(1)))
TestTChromaticFlip.print_hct(hc_track)
tune = [('C:5', (1, 1)), ('E:5', (1, 1)), ('E:5', (1, 1)),
('G:5', (1, 1))]
line = TestTChromaticFlip.build_line(tune)
cue = DiatonicPitch(5, 'd')
tflip = TChromaticReflection(line, hc_track, cue)
score_line, score_hct = tflip.apply()
TestTChromaticFlip.print_notes(score_line)
TestTChromaticFlip.print_hct(score_hct)
def _build_extension_map(self):
ltrs = 'CDEFGAB'
extension = dict()
domain_scale = self.domain_tonality.annotation[:-1]
domain_start_index = ltrs.index(domain_scale[0].diatonic_letter)
domain_index_list = list(ltrs[domain_start_index:] + ltrs[:domain_start_index])
# One time calculations based on lower upper
if self.reflect_type != FlipType.CenterTone:
if self.reflect_type == FlipType.LowerNeighborOfPair:
lower_domain_index = domain_scale.index(self.cue_tone)
upper_domain_index = (lower_domain_index + 1) % len(domain_scale)
else:
upper_domain_index = domain_scale.index(self.cue_tone)
lower_domain_index = (upper_domain_index - 1) % len(domain_scale)
lower_tone = domain_scale[lower_domain_index]
upper_tone = domain_scale[upper_domain_index]
lower_ltr_index = domain_index_list.index(lower_tone.diatonic_letter)
lower_augmentation = lower_tone.augmentation_offset
upper_ltr_index = domain_index_list.index(upper_tone.diatonic_letter)
upper_augmentation = upper_tone.augmentation_offset
else:
lower_tone = None
upper_tone = None
lower_ltr_index = None
lower_augmentation = None
upper_ltr_index = None
upper_augmentation = None
for ltr in 'CDEFGAB':
for aug in ['bb', 'b', '', '#', "##"]:
tone = DiatonicFoundation.get_tone(ltr + aug)
if tone not in self.tonal_map.keys():
if self.reflect_type == FlipType.CenterTone:
interval = Interval.calculate_tone_interval(tone, self.cue_tone)
if interval: # Some intervals are illegal, eg Cbb --> C, for now ignore
end_tone = interval.get_end_tone(self.cue_tone)
extension[tone] = end_tone
else:
tone_ltr_index = domain_index_list.index(tone.diatonic_letter)
tone_augmentation = tone.augmentation_offset
if tone_ltr_index >= 0 and (tone_ltr_index < lower_ltr_index or
(tone_ltr_index == lower_ltr_index and
tone_augmentation <= lower_augmentation)):
interval = Interval.calculate_tone_interval(tone, lower_tone)
if interval:
upper = interval.get_end_tone(upper_tone)
extension[tone] = upper
elif tone_ltr_index < len(domain_index_list) and (tone_ltr_index > upper_ltr_index or
(tone_ltr_index == upper_ltr_index and
tone_augmentation >= upper_augmentation)):
interval = Interval.calculate_tone_interval(tone, upper_tone)
if interval:
new_lower = interval.get_end_tone(lower_tone)
extension[tone] = new_lower
else: # Between the two limits
upper_interval = Interval.calculate_tone_interval(tone, upper_tone)
lower_interval = Interval.calculate_tone_interval(lower_tone, tone)
if upper_interval is None and lower_interval is None:
continue
elif upper_interval is None:
extension[tone] = upper_tone
elif lower_interval is None:
extension[tone] = lower_tone
else:
if abs(lower_interval.chromatic_distance) <= abs(upper_interval.chromatic_distance):
extension[tone] = lower_interval.negation().get_end_tone(upper_tone)
else:
extension[tone] = upper_interval.negation().get_end_tone(lower_tone)
return extension
def _build_pitch_map1(self):
pitch_map = dict()
lo_reg = self.domain_pitch_range.start_index // 12
hi_reg = self.domain_pitch_range.end_index // 12
domain_start_tone = CrossTonalityShiftPitchFunction.compute_lowest_letter(
self.domain_pitch_range.start_index %
12) # self.domain_tonality.annotation[0]
range_start_tone = CrossTonalityShiftPitchFunction.compute_highest_letter(
self.domain_pitch_range.end_index %
12) # self.range_tonality.annotation[0]
# note letter template should start with letter for domain_start_tone
note_letters = 'ABCDEFG'
i = note_letters.index(domain_start_tone.diatonic_letter)
note_letters = note_letters[i:] + note_letters[:i]
domain_tones = list()
for ltr in note_letters:
for aug in ['bb', 'b', '', '#', '##']:
domain_tones.append(DiatonicFoundation.get_tone(ltr + aug))
first_domain_pitch = None
first_range_pitch = None
last_domain_pitch = None
last_range_pitch = None
for register in range(lo_reg, hi_reg + 1):
domain_reg = register
target_pitch = self.root_shift_interval.get_end_pitch(
DiatonicPitch(domain_reg, domain_start_tone))
range_reg = target_pitch.octave
domain_reg_upped = False
range_reg_upped = False
for tone in domain_tones:
if not domain_reg_upped and tone.diatonic_letter == 'C' and domain_start_tone.diatonic_letter != 'C':
domain_reg = domain_reg + 1
domain_reg_upped = True
domain_pitch = DiatonicPitch(domain_reg, tone)
if domain_pitch.chromatic_distance < ChromaticScale.chromatic_start_index() or \
domain_pitch.chromatic_distance > ChromaticScale.chromatic_end_index():
continue
if self.domain_pitch_range.is_pitch_inbounds(domain_pitch):
range_tone = self.tonal_function[tone]
if not range_reg_upped and range_tone.diatonic_letter == 'C' and \
range_start_tone.diatonic_letter != 'C':
range_reg = range_reg + 1
range_reg_upped = True
target_pitch = DiatonicPitch(range_reg, range_tone)
if target_pitch.chromatic_distance < ChromaticScale.chromatic_start_index() or \
target_pitch.chromatic_distance > ChromaticScale.chromatic_end_index():
continue
pitch_map[domain_pitch] = target_pitch
if first_domain_pitch is None:
first_domain_pitch = domain_pitch
first_range_pitch = target_pitch
last_domain_pitch = domain_pitch
last_range_pitch = target_pitch
if first_domain_pitch.chromatic_distance > last_domain_pitch.chromatic_distance:
self.__domain_pitch_range = PitchRange.create(
last_domain_pitch, first_domain_pitch)
else:
self.__domain_pitch_range = PitchRange.create(
first_domain_pitch, last_domain_pitch)
if first_range_pitch.chromatic_distance > last_range_pitch.chromatic_distance:
self.__range_pitch_range = PitchRange.create(
last_range_pitch, first_range_pitch)
else:
self.__range_pitch_range = PitchRange.create(
first_range_pitch, last_range_pitch)
return pitch_map
def _build_extension_map(self):
extension = dict()
# Map domain tone augmentations to similarly augmented range tonality tones.
# e.g. if m[Db] == G, then m[D == Db#] == G#
key_ltr_map = {d.diatonic_letter: d for d in self.domain_tonality.annotation}
for ltr_item, tone_item in key_ltr_map.items():
target_tone = self.constr_primary_map[tone_item]
for aug in ['bb', 'b', '', '#', "##"]:
tone = DiatonicFoundation.get_tone(ltr_item + aug)
if tone not in self.constr_primary_map.keys():
aug_difference = tone.augmentation_offset - tone_item.augmentation_offset
new_target = DiatonicTone.alter_tone_by_augmentation(target_tone, aug_difference)
extension[tone] = new_target
# Map all the other cases, e.g. tones outside pentatonic tonal scale for example.
tone_list = self.domain_tonality.annotation[:-1]
for ltr_item in 'ABCDEFG':
if ltr_item not in key_ltr_map.keys():
t = DiatonicFoundation.get_tone(ltr_item)
lo_tone, hi_tone = CrossTonalityShiftTonalFunction._compute_neighbor_tones(t, tone_list)
lo_target = self.constr_primary_map[lo_tone] if lo_tone in self.constr_primary_map.keys() else \
extension[lo_tone]
hi_target = self.constr_primary_map[hi_tone] if hi_tone in self.constr_primary_map.keys() else \
extension[hi_tone]
# d_diff is half-step diff between lo_tone and hi_tone for domain.
d_diff = hi_tone.placement - lo_tone.placement if lo_tone.placement <= hi_tone.placement else \
hi_tone.placement - lo_tone.placement + 12
# r_diff is half-step diff between lo_tone and hi_tone for target.
r_diff = hi_target.placement - lo_target.placement if lo_target.placement <= hi_target.placement else\
hi_target.placement - lo_target.placement + 12
range_factor = r_diff / d_diff
# tone_domain_distance is chromatic distance from lo_tone to t (domain).
tone_domain_distance = t.placement - lo_tone.placement if lo_tone.placement <= t.placement else \
t.placement - lo_tone.placement + 12
# range_chrom_dist is conversion of tone_domain_distance to range chromatic distance (interpolation).
# i.e. distance from lo_target to ideal target (corresponding to t in domain).
range_chrom_dist = int(round(tone_domain_distance * range_factor))
# Tonal interpolation:
# 1) Need to use a diatonic dist from lo_target
# 2) Adjusted so that from lo_target is range_chrom_dist
diatonic_distance = DiatonicTone.calculate_diatonic_distance(lo_tone, t)
# target_tone is end tone of interval based on diatonic_distance and range_chrom_dist
target_tone = Interval.end_tone_from_pure_distance(lo_target, diatonic_distance, range_chrom_dist)
extension[t] = target_tone
tone_list.insert(tone_list.index(lo_tone) + 1, t)
key_ltr_map[t] = target_tone
# Now that t is mappec, map all the augmentations.
for aug in ['bb', 'b', '#', "##"]:
aug_tone = DiatonicFoundation.get_tone(ltr_item + aug)
if aug_tone not in self.constr_primary_map.keys() and aug_tone not in extension.keys():
aug_difference = aug_tone.augmentation_offset - t.augmentation_offset
new_target = DiatonicTone.alter_tone_by_augmentation(target_tone, aug_difference)
extension[aug_tone] = new_target
return extension