def __init__(self,
scale=Scale('12-TET (A=440Hz)'),
lowest_pitch=Pitch.from_midi(21),
highest_pitch=Pitch.from_midi(108),
possible_detune=1.0,
smallest_interval=Interval.from_name('unison'),
largest_interval=Interval.from_name('octave')):
self._scale = scale
self._lowest_pitch = lowest_pitch
self._highest_pitch = highest_pitch
self._possible_detune = possible_detune
self._smallest_interval = smallest_interval
self._largest_interval = largest_interval
def __init__(self, scale_type=None):
"""
Musical scale interpreted as the list of musical pitches.
"""
self._pitches = list()
self._detune = 0.0
if scale_type == None:
pass
elif scale_type == '12-TET (A=440Hz)':
self._pitches.append(Pitch.from_midi(60))
self._pitches.append(Pitch.from_midi(61))
self._pitches.append(Pitch.from_midi(62))
self._pitches.append(Pitch.from_midi(63))
self._pitches.append(Pitch.from_midi(64))
self._pitches.append(Pitch.from_midi(65))
self._pitches.append(Pitch.from_midi(66))
self._pitches.append(Pitch.from_midi(67))
self._pitches.append(Pitch.from_midi(68))
self._pitches.append(Pitch.from_midi(69))
self._pitches.append(Pitch.from_midi(70))
self._pitches.append(Pitch.from_midi(71))
elif scale_type == '24-TET (A=440Hz)':
self._pitches.append(Pitch.from_midi(60))
self._pitches.append(Pitch.from_midi(60, 50))
self._pitches.append(Pitch.from_midi(61))
self._pitches.append(Pitch.from_midi(61, 50))
self._pitches.append(Pitch.from_midi(62))
self._pitches.append(Pitch.from_midi(62, 50))
self._pitches.append(Pitch.from_midi(63))
self._pitches.append(Pitch.from_midi(63, 50))
self._pitches.append(Pitch.from_midi(64))
self._pitches.append(Pitch.from_midi(64, 50))
self._pitches.append(Pitch.from_midi(65))
self._pitches.append(Pitch.from_midi(65, 50))
self._pitches.append(Pitch.from_midi(66))
self._pitches.append(Pitch.from_midi(66, 50))
self._pitches.append(Pitch.from_midi(67))
self._pitches.append(Pitch.from_midi(67, 50))
self._pitches.append(Pitch.from_midi(68))
self._pitches.append(Pitch.from_midi(68, 50))
self._pitches.append(Pitch.from_midi(69))
self._pitches.append(Pitch.from_midi(69, 50))
self._pitches.append(Pitch.from_midi(70))
self._pitches.append(Pitch.from_midi(70, 50))
self._pitches.append(Pitch.from_midi(71))
self._pitches.append(Pitch.from_midi(71, 50))
elif scale_type == '31-TET (A=440Hz)':
self._pitches.append(Pitch.from_midi(57))
self._pitches.append(Pitch.from_midi(57, 1 * 38.71))
self._pitches.append(Pitch.from_midi(57, 2 * 38.71))
self._pitches.append(Pitch.from_midi(57, 3 * 38.71))
self._pitches.append(Pitch.from_midi(57, 4 * 38.71))
self._pitches.append(Pitch.from_midi(57, 5 * 38.71))
self._pitches.append(Pitch.from_midi(57, 6 * 38.71))
self._pitches.append(Pitch.from_midi(57, 7 * 38.71))
self._pitches.append(Pitch.from_midi(57, 8 * 38.71))
self._pitches.append(Pitch.from_midi(57, 9 * 38.71))
self._pitches.append(Pitch.from_midi(57, 10 * 38.71))
self._pitches.append(Pitch.from_midi(57, 11 * 38.71))
self._pitches.append(Pitch.from_midi(57, 12 * 38.71))
self._pitches.append(Pitch.from_midi(57, 13 * 38.71))
self._pitches.append(Pitch.from_midi(57, 14 * 38.71))
self._pitches.append(Pitch.from_midi(57, 15 * 38.71))
self._pitches.append(Pitch.from_midi(57, 16 * 38.71))
self._pitches.append(Pitch.from_midi(57, 17 * 38.71))
self._pitches.append(Pitch.from_midi(57, 18 * 38.71))
self._pitches.append(Pitch.from_midi(57, 19 * 38.71))
self._pitches.append(Pitch.from_midi(57, 20 * 38.71))
self._pitches.append(Pitch.from_midi(57, 21 * 38.71))
self._pitches.append(Pitch.from_midi(57, 22 * 38.71))
self._pitches.append(Pitch.from_midi(57, 23 * 38.71))
self._pitches.append(Pitch.from_midi(57, 24 * 38.71))
self._pitches.append(Pitch.from_midi(57, 25 * 38.71))
self._pitches.append(Pitch.from_midi(57, 26 * 38.71))
self._pitches.append(Pitch.from_midi(57, 27 * 38.71))
self._pitches.append(Pitch.from_midi(57, 28 * 38.71))
self._pitches.append(Pitch.from_midi(57, 29 * 38.71))
self._pitches.append(Pitch.from_midi(57, 30 * 38.71))
elif scale_type == 'Pythagorean (C-based) (A=440Hz)':
self._pitches.append(Pitch.from_midi(60, -5.87))
self._pitches.append(Pitch.from_midi(61, 7.82))
self._pitches.append(Pitch.from_midi(62, -1.96))
self._pitches.append(Pitch.from_midi(63, 11.73))
self._pitches.append(Pitch.from_midi(64, 1.96))
self._pitches.append(Pitch.from_midi(65, 15.64))
self._pitches.append(Pitch.from_midi(66, 5.87))
self._pitches.append(Pitch.from_midi(67, -3.91))
self._pitches.append(Pitch.from_midi(68, 9.78))
self._pitches.append(Pitch.from_midi(69))
self._pitches.append(Pitch.from_midi(70, 13.69))
self._pitches.append(Pitch.from_midi(71, 3.91))
elif scale_type == 'Just (C-based) (A=440Hz)':
self._pitches.append(Pitch.from_midi(60, 15.64))
self._pitches.append(Pitch.from_midi(61, 27.37))
self._pitches.append(Pitch.from_midi(62, 19.55))
self._pitches.append(Pitch.from_midi(63, 31.28))
self._pitches.append(Pitch.from_midi(64, 1.96))
self._pitches.append(Pitch.from_midi(65, 13.69))
self._pitches.append(Pitch.from_midi(66, 5.87))
self._pitches.append(Pitch.from_midi(67, 17.60))
self._pitches.append(Pitch.from_midi(68, 29.33))
self._pitches.append(Pitch.from_midi(69))
self._pitches.append(Pitch.from_midi(70, 11.73))
self._pitches.append(Pitch.from_midi(71, 3.91))
elif scale_type == 'Quarter-comma meantone (C-based) (A=440Hz)':
self._pitches.append(Pitch.from_midi(60, 10.26))
self._pitches.append(Pitch.from_midi(61, -13.68))
self._pitches.append(Pitch.from_midi(62, 3.42))
self._pitches.append(Pitch.from_midi(63, -20.53))
self._pitches.append(Pitch.from_midi(64, -3.42))
self._pitches.append(Pitch.from_midi(65, -27.37))
self._pitches.append(Pitch.from_midi(66, -10.26))
self._pitches.append(Pitch.from_midi(67, 6.84))
self._pitches.append(Pitch.from_midi(68, -17.11))
self._pitches.append(Pitch.from_midi(69))
self._pitches.append(Pitch.from_midi(70, 23.95))
self._pitches.append(Pitch.from_midi(71, -6.84))
elif scale_type == 'Bach\'s (Werckmeister III) (A=440Hz)':
self._pitches.append(Pitch.from_midi(60, 11.73))
self._pitches.append(Pitch.from_midi(61, 1.96))
self._pitches.append(Pitch.from_midi(62, 3.91))
self._pitches.append(Pitch.from_midi(63, 5.87))
self._pitches.append(Pitch.from_midi(64, 1.96))
self._pitches.append(Pitch.from_midi(65, 9.78))
self._pitches.append(Pitch.from_midi(66))
self._pitches.append(Pitch.from_midi(67, 7.82))
self._pitches.append(Pitch.from_midi(68, 3.91))
self._pitches.append(Pitch.from_midi(69))
self._pitches.append(Pitch.from_midi(70, 7.82))
self._pitches.append(Pitch.from_midi(71, 3.91))
# Raise error
else:
raise RuntimeError(
'[Scale::__init__()] Unknown scale type "'\
+ scale_type\
+ '"!'
)