mutwo.music_generators §

Object	Documentation
`mutwo.music_generators.make_product_pitch`	Make `JustIntonationPitch` from the product of one, two or more number_sequence.
`mutwo.music_generators.make_common_product_set_scale`	Make common product set scale as described in Wilsons letter to Fokker.
`mutwo.music_generators.make_wilsons_brun_euclidean_algorithm_generator`	Make constant structure scale with Wilsons adaption of Bruns euclidean algorithm.

make_product_pitch(number_sequence, tonality, normalize=False)[source]§

Make JustIntonationPitch from the product of one, two or more number_sequence.

Parameters:

number_sequence (Sequence[int]) – The number which shall be multiplied to make a new pitch.
tonality (bool) – True for putting the resulting product to the numerator of the frequency ratio and False for putting the resulting product to the denominator.
normalize (bool, optional) – True to normalize the new pitch to the middle octave. Default to False.

Return type:

JustIntonationPitch

make_common_product_set_scale(number_sequence, n_combinations, tonality, normalize=False)[source]§

Make common product set scale as described in Wilsons letter to Fokker.

Parameters:

number_sequence (Sequence[int]) – The number_sequence which will be combined to single music_parameters.
n_combinations (int) – How many number_sequence will be combined for each pitch.
tonality (bool) – True for otonality and False for utonality.
normalize (bool) – True if music_parameters.shall become normalized to the same octave.

Return type:

tuple[mutwo.music_parameters.pitches.JustIntonationPitch.JustIntonationPitch, …]

Example:

>>> from mutwo.generators import wilson
>>> wilson.make_common_product_set_scale((3, 5, 7, 9), 2, True)
(JustIntonationPitch(15),
 JustIntonationPitch(21),
 JustIntonationPitch(27),
 JustIntonationPitch(35),
 JustIntonationPitch(45),
 JustIntonationPitch(63))
>>> wilson.make_common_product_set_scale((3, 5, 7, 9), 2, False)
(JustIntonationPitch(1/15),
 JustIntonationPitch(1/21),
 JustIntonationPitch(1/27),
 JustIntonationPitch(1/35),
 JustIntonationPitch(1/45),
 JustIntonationPitch(1/63))

make_wilsons_brun_euclidean_algorithm_generator(pitch_tuple, subtraction_index=1, direction_forward=True, direction_reverse=False)[source]§

Make constant structure scale with Wilsons adaption of Bruns euclidean algorithm.

Parameters:

pitch_tuple (tuple[music_parameters.JustIntonationPitch, music_parameters.JustIntonationPitch, music_parameters.JustIntonationPitch],) – The initial seed composed of three individual music_parameters. The biggest pitch will be the period of the repeating scale, therefore it is recommended to use music_parameters.JustIntonationPitch("2/1") here (if one desires an octave repeating scale).
subtraction_index (int) – Set to 1 if the largest interval should be subtracted by the second interval. Set to 2 if the largest interval should be subtracted by the smallest interval.
direction_forward (bool) – Set to True if the algorithm should include the normal sorted replacement of an interval. Default to True.
direction_reverse (bool) – Set to True if the algorithm should include the reversed replacement of an interval. Default to False.

Returns:

Generator which returns a list of intervals. Accumulate the intervals from music_parameters.JustIntonationPitch("1/1") to get the scale music_parameters.

Return type:

Generator

Example:

>>> from mutwo.ext.parameters import pitches
>>> from mutwo.ext.generators import wilson
>>> wilsons_brun_euclidean_algorithm_generator = (
>>>     wilson.make_wilsons_brun_euclidean_algorithm_generator(
>>>         (
>>>             music_parameters.JustIntonationPitch("2/1"),
>>>             music_parameters.JustIntonationPitch("3/2"),
>>>             music_parameters.JustIntonationPitch("5/4"),
>>>         )
>>>     )
>>> )
>>> next(wilsons_brun_euclidean_algorithm_generator)
((JustIntonationPitch(2),),)
>>> next(wilsons_brun_euclidean_algorithm_generator)
((JustIntonationPitch(3/2), JustIntonationPitch(4/3)),)
>>> next(wilsons_brun_euclidean_algorithm_generator)
((JustIntonationPitch(4/3), JustIntonationPitch(9/8), JustIntonationPitch(4/3)),)

mutwo.music_generators.constants §

TUNEABLE_INTERVAL_TO_DIFFICULTY_DICT = {(): 0, (-3, 0, 0, 0, 0, 0, 0, 0, 1): 1, (-3, 0, 0, 0, 0, 0, 0, 1): 2, (-3, 0, 0, 0, 0, 1): 1, (-3, 0, 0, 0, 1): 2, (-3, 0, 2): 2, (-3, 1, 1): 2, (-3, 3): 2, (-2, -1, 0, 0, 0, 0, 0, 0, 1): 2, (-2, 0, 0, 0, 0, 0, 0, 0, 1): 1, (-2, 0, 0, 0, 0, 0, 0, 1): 1, (-2, 0, 0, 0, 0, 0, 1): 1, (-2, 0, 0, 0, 0, 1): 0, (-2, 0, 0, 0, 1): 0, (-2, 0, 0, 1): 0, (-2, 0, 1): 0, (-2, 0, 2): 1, (-2, 1, 0, 1): 1, (-2, 1, 1): 0, (-2, 2): 0, (-2, 3): 2, (-1, -1, 0, 0, 0, 0, 0, 0, 1): 2, (-1, -1, 0, 0, 0, 0, 0, 1): 2, (-1, -1, 0, 0, 0, 0, 1): 1, (-1, -1, 0, 0, 0, 1): 1, (-1, -1, 0, 0, 1): 1, (-1, -1, 0, 1): 0, (-1, -1, 2): 2, (-1, 0, -1, 0, 0, 1): 1, (-1, 0, 0, 0, 0, 1): 0, (-1, 0, 0, 0, 1): 0, (-1, 0, 0, 1): 0, (-1, 0, 1): 0, (-1, 1): 0, (-1, 1, 1): 0, (-1, 2): 0, (0, -2, 0, 0, 0, 1): 2, (0, -2, 0, 0, 1): 2, (0, -1, 0, 0, 0, 0, 0, 0, 1): 0, (0, -1, 0, 0, 0, 0, 0, 1): 0, (0, -1, 0, 0, 0, 0, 1): 0, (0, -1, 0, 0, 0, 1): 0, (0, -1, 0, 0, 1): 0, (0, -1, 0, 1): 0, (0, -1, 1): 0, (0, 0, -1, 0, 0, 0, 0, 0, 1): 1, (0, 0, -1, 0, 0, 0, 0, 1): 1, (0, 0, -1, 0, 0, 0, 1): 1, (0, 0, -1, 0, 0, 1): 1, (0, 0, -1, 0, 1): 1, (0, 0, -1, 1): 0, (0, 0, 0, -1, 0, 0, 1): 1, (0, 0, 0, -1, 0, 1): 1, (0, 0, 0, -1, 1): 1, (0, 0, 0, 1): 0, (0, 0, 1): 0, (0, 1): 0, (0, 1, -1, 1): 2, (0, 2, -1): 0, (0, 2, 0, -1): 0, (0, 3, 0, -1): 2, (1,): 0, (1, -2, 0, 1): 2, (1, -1, 0, 0, 1): 0, (1, -1, 0, 1): 0, (1, -1, 1): 0, (1, 0, -1, 0, 0, 1): 2, (1, 0, -1, 0, 1): 2, (1, 0, -1, 1): 0, (1, 0, 0, -1, 1): 2, (1, 0, 1, -1): 1, (1, 1): 0, (1, 1, -1): 0, (1, 2, -1): 0, (1, 2, 0, -1): 1, (2,): 0, (2, -2, 0, 1): 2, (2, -1): 0, (2, -1, 1): 0, (2, 0, -1, 1): 1, (2, 0, 1, -1): 1, (2, 1, -1): 0, (2, 1, 0, -1): 1, (3,): 0, (3, -1): 0, (3, 0, -1): 0, (3, 0, 0, -1): 1, (3, 1, -1): 1, (3, 1, 0, -1): 2, (4, -1): 0, (4, 0, -1): 0, (4, 0, 0, 0, -1): 2}§: Tuneable Just Intonation Intervals sorted by difficulty, according to Marc Sabat.

TUNEABLE_INTERVAL_TUPLE = (JustIntonationPitch('1/1'), JustIntonationPitch('8/7'), JustIntonationPitch('7/6'), JustIntonationPitch('6/5'), JustIntonationPitch('11/9'), JustIntonationPitch('5/4'), JustIntonationPitch('9/7'), JustIntonationPitch('13/10'), JustIntonationPitch('4/3'), JustIntonationPitch('11/8'), JustIntonationPitch('7/5'), JustIntonationPitch('10/7'), JustIntonationPitch('13/9'), JustIntonationPitch('16/11'), JustIntonationPitch('3/2'), JustIntonationPitch('14/9'), JustIntonationPitch('11/7'), JustIntonationPitch('8/5'), JustIntonationPitch('13/8'), JustIntonationPitch('5/3'), JustIntonationPitch('12/7'), JustIntonationPitch('7/4'), JustIntonationPitch('9/5'), JustIntonationPitch('11/6'), JustIntonationPitch('13/7'), JustIntonationPitch('15/8'), JustIntonationPitch('23/12'), JustIntonationPitch('2/1'), JustIntonationPitch('13/6'), JustIntonationPitch('11/5'), JustIntonationPitch('9/4'), JustIntonationPitch('7/3'), JustIntonationPitch('19/8'), JustIntonationPitch('12/5'), JustIntonationPitch('17/7'), JustIntonationPitch('5/2'), JustIntonationPitch('18/7'), JustIntonationPitch('13/5'), JustIntonationPitch('8/3'), JustIntonationPitch('11/4'), JustIntonationPitch('14/5'), JustIntonationPitch('17/6'), JustIntonationPitch('20/7'), JustIntonationPitch('23/8'), JustIntonationPitch('3/1'), JustIntonationPitch('28/9'), JustIntonationPitch('25/8'), JustIntonationPitch('22/7'), JustIntonationPitch('19/6'), JustIntonationPitch('16/5'), JustIntonationPitch('13/4'), JustIntonationPitch('10/3'), JustIntonationPitch('27/8'), JustIntonationPitch('17/5'), JustIntonationPitch('24/7'), JustIntonationPitch('7/2'), JustIntonationPitch('18/5'), JustIntonationPitch('11/3'), JustIntonationPitch('15/4'), JustIntonationPitch('19/5'), JustIntonationPitch('23/6'), JustIntonationPitch('27/7'), JustIntonationPitch('4/1'), JustIntonationPitch('25/6'), JustIntonationPitch('21/5'), JustIntonationPitch('17/4'), JustIntonationPitch('13/3'), JustIntonationPitch('22/5'), JustIntonationPitch('9/2'), JustIntonationPitch('23/5'), JustIntonationPitch('14/3'), JustIntonationPitch('19/4'), JustIntonationPitch('24/5'), JustIntonationPitch('5/1'), JustIntonationPitch('26/5'), JustIntonationPitch('21/4'), JustIntonationPitch('16/3'), JustIntonationPitch('11/2'), JustIntonationPitch('28/5'), JustIntonationPitch('17/3'), JustIntonationPitch('23/4'), JustIntonationPitch('6/1'), JustIntonationPitch('25/4'), JustIntonationPitch('19/3'), JustIntonationPitch('13/2'), JustIntonationPitch('20/3'), JustIntonationPitch('27/4'), JustIntonationPitch('7/1'), JustIntonationPitch('22/3'), JustIntonationPitch('15/2'), JustIntonationPitch('23/3'), JustIntonationPitch('8/1'))§: Tuneable Just Intonation Intervals according to Marc Sabat.

mutwo.music_generators§

mutwo.music_generators.constants§

mutwo.music_generators §

mutwo.music_generators.constants §