def _initialize_with_mode_name(self, mode_name):
mdi_segment = []
m2 = pitchtools.NamedInterval('minor', 2)
M2 = pitchtools.NamedInterval('major', 2)
A2 = pitchtools.NamedInterval('augmented', 2)
dorian = [M2, m2, M2, M2, M2, m2, M2]
if mode_name == 'dorian':
mdi_segment.extend(sequencetools.rotate_sequence(dorian, 0))
elif mode_name == 'phrygian':
mdi_segment.extend(sequencetools.rotate_sequence(dorian, -1))
elif mode_name == 'lydian':
mdi_segment.extend(sequencetools.rotate_sequence(dorian, -2))
elif mode_name == 'mixolydian':
mdi_segment.extend(sequencetools.rotate_sequence(dorian, -3))
elif mode_name in ('aeolian', 'minor', 'natural minor'):
mdi_segment.extend(sequencetools.rotate_sequence(dorian, -4))
elif mode_name == 'locrian':
mdi_segment.extend(sequencetools.rotate_sequence(dorian, -5))
elif mode_name in ('ionian', 'major'):
mdi_segment.extend(sequencetools.rotate_sequence(dorian, -6))
elif mode_name == 'melodic minor':
mdi_segment.extend([M2, m2, M2, M2, M2, M2, m2])
elif mode_name == 'harmonic minor':
mdi_segment.extend([M2, m2, M2, M2, m2, A2, m2])
else:
message = 'unknown mode name: {!r}.'
message = message.format(mode_name)
raise ValueError(message)
return pitchtools.IntervalSegment(
items=mdi_segment,
item_class=pitchtools.NamedInterval,
)
def _initialize_triad(quality_string):
if quality_string == 'major':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('perfect', 5),
]
elif quality_string == 'minor':
intervals = [
pitchtools.NamedInterval('minor', 3),
pitchtools.NamedInterval('perfect', 5),
]
elif quality_string == 'diminished':
intervals = [
pitchtools.NamedInterval('minor', 3),
pitchtools.NamedInterval('diminished', 5),
]
elif quality_string == 'augmented':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('augmented', 5),
]
else:
message = 'unacceptable quality string: {!r}.'
message = message.format(quality_string)
raise ValueError(message)
intervals.insert(0, pitchtools.NamedInterval('perfect', 1))
return intervals
def __lt__(self, arg):
r'''Is true when `arg` is a named interval class with a number greater
than that of this named interval.
'''
from abjad.tools import pitchtools
if isinstance(arg, type(self)):
if self.number == arg.number:
return pitchtools.NamedInterval(self).semitones < \
pitchtools.NamedInterval(arg).semitones
return self.number < arg.number
return False
def _initialize_ninth(quality_string):
if quality_string == 'dominant':
intervals = [
pitchtools.NamedInterval('M3'),
pitchtools.NamedInterval('P5'),
pitchtools.NamedInterval('m7'),
pitchtools.NamedInterval('M9'),
]
else:
message = 'unacceptable quality string.'
raise ValueError(message)
intervals.insert(0, pitchtools.NamedInterval('P1'))
return intervals
def _initialize_ninth(quality_string):
if quality_string == 'dominant':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('perfect', 5),
pitchtools.NamedInterval('minor', 7),
pitchtools.NamedInterval('major', 9),
]
else:
message = 'unacceptable quality string.'
raise ValueError(message)
intervals.insert(0, pitchtools.NamedInterval('perfect', 1))
return intervals
def __init__(
self,
interval=None,
overrides=None,
):
Spanner.__init__(
self,
overrides=overrides,
)
if interval is not None:
interval = pitchtools.NamedInterval(interval)
self._interval = interval
def __add__(self, interval):
r'''Adds named pitch to `interval`.
::
>>> pitch + pitchtools.NamedInterval('+M2')
NamedPitch("ds''")
Returns new named pitch.
'''
from abjad.tools import pitchtools
interval = pitchtools.NamedInterval(interval)
return pitchtools.transpose_pitch_carrier_by_interval(
self, interval)
def transpose(self, expr):
r'''Transposes named pitch-class by named interval `expr`.
::
>>> named_interval = pitchtools.NamedInterval('major', 2)
>>> pitchtools.NamedPitchClass('cs').transpose(named_interval)
NamedPitchClass('ds')
Returns new named pitch-class.
'''
from abjad.tools import pitchtools
named_interval = pitchtools.NamedInterval(expr)
pitch = pitchtools.NamedPitch(self, 4)
transposed_pitch = \
pitchtools.transpose_pitch_carrier_by_interval(
pitch, named_interval)
return type(self)(transposed_pitch)
def __init__(self, root=None, *args):
from abjad.tools import tonalanalysistools
root = root or 'c'
root = pitchtools.NamedPitchClass(root)
chord_quality = tonalanalysistools.RootlessChordClass(*args)
npcs = []
for hdi in chord_quality:
mdi = pitchtools.NamedInterval(hdi)
npc = root + mdi
npcs.append(npc)
bass = npcs[0]
PitchClassSet.__init__(
self,
items=npcs,
item_class=pitchtools.NamedPitchClass,
)
self._root = root
self._chord_quality = chord_quality
self._bass = bass
def transpose(self, expr):
r'''Transposes named pitch by `expr`.
::
>>> NamedPitch("c'").transpose('m2')
NamedPitch("df'")
::
>>> NamedPitch("c'").transpose('-M2')
NamedPitch('bf')
Returns new named pitch.
'''
from abjad.tools import pitchtools
named_interval = pitchtools.NamedInterval(expr)
transposed_pitch = pitchtools.transpose_pitch_carrier_by_interval(
self, named_interval)
return type(self)(transposed_pitch)
def _set_ascending_named_diatonic_pitches_on_logical_ties_in_expr(
self, expr):
from abjad.tools import pitchtools
from abjad.tools import scoretools
dicg = self.named_interval_class_segment
length = len(dicg)
octave_number = 4
pitch = pitchtools.NamedPitch(self[0], octave_number)
for i, logical_tie in enumerate(iterate(expr).by_logical_tie()):
if isinstance(logical_tie[0], scoretools.Note):
for note in logical_tie:
note.written_pitch = pitch
elif isinstance(logical_tie[0], scoretools.Chord):
for chord in logical_tie:
chord.written_pitches = [pitch]
else:
pass
dic = dicg[i % length]
ascending_mdi = pitchtools.NamedInterval(dic.quality_string, dic.number)
pitch += ascending_mdi
def _transpose_pitch_carrier_by_named_interval(pitch_carrier,
named_interval):
mdi = pitchtools.NamedInterval(named_interval)
if isinstance(pitch_carrier, pitchtools.Pitch):
return _transpose_pitch_by_named_interval(pitch_carrier, mdi)
elif isinstance(pitch_carrier, scoretools.Note):
new_note = copy.copy(pitch_carrier)
new_pitch = _transpose_pitch_by_named_interval(
pitch_carrier.written_pitch, mdi)
new_note.written_pitch = new_pitch
return new_note
elif isinstance(pitch_carrier, scoretools.Chord):
new_chord = copy.copy(pitch_carrier)
for new_nh, old_nh in \
zip(new_chord.note_heads, pitch_carrier.note_heads):
new_pitch = _transpose_pitch_by_named_interval(
old_nh.written_pitch, mdi)
new_nh.written_pitch = new_pitch
return new_chord
else:
return pitch_carrier
def instantiate_pitch_and_interval_test_collection():
r'''Instantiate pitch and interval test collection:
::
>>> for x in pitchtools.instantiate_pitch_and_interval_test_collection(): x
...
NumberedInversionEquivalentIntervalClass(1)
NamedInversionEquivalentIntervalClass('+M2')
NumberedInterval(1)
NumberedIntervalClass(1)
NamedInterval('+M2')
NamedIntervalClass('+M2')
NamedPitch('c')
NamedPitchClass('c')
NumberedPitch(1)
NumberedPitchClass(1)
Use to test pitch and interval interface consistency.
Returns list.
'''
from abjad.tools import pitchtools
result = []
result.append(pitchtools.NumberedInversionEquivalentIntervalClass(1))
result.append(pitchtools.NamedInversionEquivalentIntervalClass('M2'))
result.append(pitchtools.NumberedInterval(1))
result.append(pitchtools.NumberedIntervalClass(1))
result.append(pitchtools.NamedInterval('M2'))
result.append(pitchtools.NamedIntervalClass('M2'))
result.append(pitchtools.NamedPitch('c'))
result.append(pitchtools.NamedPitchClass('c'))
result.append(pitchtools.NumberedPitch(1))
result.append(pitchtools.NumberedPitchClass(1))
return result
def transpose(self, n=0):
r'''Transposes named pitch-class by index named interval `n`.
.. container:: example
>>> interval = abjad.NamedInterval('-M2')
>>> abjad.NamedPitchClass('cs').transpose(interval)
NamedPitchClass('b')
>>> interval = abjad.NamedInterval('P1')
>>> abjad.NamedPitchClass('cs').transpose(interval)
NamedPitchClass('cs')
>>> interval = abjad.NamedInterval('+M2')
>>> abjad.NamedPitchClass('cs').transpose(interval)
NamedPitchClass('ds')
Returns new named pitch-class.
'''
from abjad.tools import pitchtools
interval = pitchtools.NamedInterval(n)
pitch = pitchtools.NamedPitch((self.name, 4))
pitch = interval.transpose(pitch)
return type(self)(pitch)
def to_named_interval(self, staff_positions):
r'''Changes numbered interval to named interval that encompasses
`staff_positions`.
.. container:: example
>>> abjad.NumberedInterval(0).to_named_interval(0)
NamedInterval('aug0')
>>> abjad.NumberedInterval(0).to_named_interval(1)
NamedInterval('P1')
>>> abjad.NumberedInterval(0).to_named_interval(2)
NamedInterval('+dim2')
.. container:: example
>>> abjad.NumberedInterval(1).to_named_interval(1)
NamedInterval('+aug1')
>>> abjad.NumberedInterval(1).to_named_interval(2)
NamedInterval('+m2')
.. container:: example
>>> abjad.NumberedInterval(-1).to_named_interval(1)
NamedInterval('-aug1')
>>> abjad.NumberedInterval(-1).to_named_interval(2)
NamedInterval('-m2')
.. container:: example
>>> abjad.NumberedInterval(2).to_named_interval(2)
NamedInterval('+M2')
Returns named interval.
'''
from abjad.tools import pitchtools
direction_number = mathtools.sign(self.number)
quality_string = None
if staff_positions == 1:
if self.number % 12 == 11:
quality_string = 'augmented'
elif self.number % 12 == 0:
quality_string = 'perfect'
elif self.number % 12 == 1:
quality_string = 'augmented'
if not direction_number == 0:
staff_positions *= direction_number
if quality_string is None:
# TODO: handle double-augmented named intervals
return pitchtools.NamedInterval(self.number)
named_interval = pitchtools.NamedInterval.from_quality_and_number(
quality_string,
staff_positions,
)
return named_interval
named_interval_class_number = staff_positions % 7
numbered_interval_class_number = abs(self.number) % 12
if named_interval_class_number == 0:
if numbered_interval_class_number == 9:
quality_string = 'diminished'
elif numbered_interval_class_number == 10:
quality_string = 'minor'
elif numbered_interval_class_number == 11:
quality_string = 'major'
elif numbered_interval_class_number == 0:
quality_string = 'augmented'
elif named_interval_class_number == 1:
if numbered_interval_class_number == 11:
quality_string = 'diminished'
elif numbered_interval_class_number == 0:
quality_string = 'perfect'
elif numbered_interval_class_number == 1:
quality_string = 'augmented'
elif named_interval_class_number == 2:
if numbered_interval_class_number == 0:
quality_string = 'diminished'
elif numbered_interval_class_number == 1:
quality_string = 'minor'
elif numbered_interval_class_number == 2:
quality_string = 'major'
elif numbered_interval_class_number == 3:
quality_string = 'augmented'
elif named_interval_class_number == 3:
if numbered_interval_class_number == 2:
quality_string = 'diminished'
elif numbered_interval_class_number == 3:
quality_string = 'minor'
elif numbered_interval_class_number == 4:
quality_string = 'major'
elif numbered_interval_class_number == 5:
quality_string = 'augmented'
elif named_interval_class_number == 4:
if numbered_interval_class_number == 4:
quality_string = 'diminished'
elif numbered_interval_class_number == 5:
quality_string = 'perfect'
elif numbered_interval_class_number == 6:
quality_string = 'augmented'
elif named_interval_class_number == 5:
if numbered_interval_class_number == 6:
quality_string = 'diminished'
elif numbered_interval_class_number == 7:
quality_string = 'perfect'
elif numbered_interval_class_number == 8:
quality_string = 'augmented'
elif named_interval_class_number == 6:
if numbered_interval_class_number == 7:
quality_string = 'diminished'
elif numbered_interval_class_number == 8:
quality_string = 'minor'
elif numbered_interval_class_number == 9:
quality_string = 'major'
elif numbered_interval_class_number == 10:
quality_string = 'augmented'
elif named_interval_class_number == 7:
if numbered_interval_class_number == 9:
quality_string = 'diminished'
elif numbered_interval_class_number == 10:
quality_string = 'minor'
elif numbered_interval_class_number == 11:
quality_string = 'major'
elif numbered_interval_class_number == 0:
quality_string = 'augmented'
elif named_interval_class_number == 8:
if numbered_interval_class_number == 11:
quality_string = 'diminished'
elif numbered_interval_class_number == 0:
quality_string = 'perfect'
elif numbered_interval_class_number == 1:
quality_string = 'augmented'
if not direction_number == 0:
staff_positions *= direction_number
if quality_string is None:
# TODO: It is possible to for quality string to *never* get set to
# anything, generally during inversion with double-sharps or
# double-flats. This suite provides a sane result.
# Don't remove it - fix whatever's allowing quality string to
# remain unset.
return pitchtools.NamedInterval(self.number)
named_interval = pitchtools.NamedInterval.from_quality_and_number(
quality_string,
staff_positions,
)
return named_interval
def _initialize_seventh(quality_string):
if quality_string == 'dominant':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('perfect', 5),
pitchtools.NamedInterval('minor', 7),
]
elif quality_string == 'major':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('perfect', 5),
pitchtools.NamedInterval('major', 7),
]
elif quality_string == 'minor':
intervals = [
pitchtools.NamedInterval('minor', 3),
pitchtools.NamedInterval('perfect', 5),
pitchtools.NamedInterval('minor', 7),
]
elif quality_string in ('diminished', 'fully diminished'):
intervals = [
pitchtools.NamedInterval('minor', 3),
pitchtools.NamedInterval('diminished', 5),
pitchtools.NamedInterval('diminished', 7),
]
elif quality_string == 'half diminished':
intervals = [
pitchtools.NamedInterval('minor', 3),
pitchtools.NamedInterval('perfect', 5),
pitchtools.NamedInterval('diminished', 7),
]
else:
message = 'unaccpetable quality string.'
raise ValueError(message)
intervals.insert(0, pitchtools.NamedInterval('perfect', 1))
return intervals
def spell_numbered_interval_number(
named_interval_number,
numbered_interval_number,
):
'''Spell `numbered_interval_number` according to `named_interval_number`:
::
>>> pitchtools.spell_numbered_interval_number(2, 1)
NamedInterval('+m2')
Returns named interval.
'''
from abjad.tools import pitchtools
if not isinstance(numbered_interval_number, int):
message = 'can not determine diatonic interval from float.'
raise TypeError(message)
direction_number = mathtools.sign(numbered_interval_number)
if named_interval_number == 1:
if numbered_interval_number % 12 == 11:
quality_string = 'augmented'
elif numbered_interval_number % 12 == 0:
quality_string = 'perfect'
elif numbered_interval_number % 12 == 1:
quality_string = 'augmented'
if not direction_number == 0:
named_interval_number *= direction_number
named_interval = pitchtools.NamedInterval(quality_string,
named_interval_number)
return named_interval
named_interval_class_number = named_interval_number % 7
numbered_interval_class_number = abs(numbered_interval_number) % 12
if named_interval_class_number == 0:
if numbered_interval_class_number == 9:
quality_string = 'diminished'
elif numbered_interval_class_number == 10:
quality_string = 'minor'
elif numbered_interval_class_number == 11:
quality_string = 'major'
elif numbered_interval_class_number == 0:
quality_string = 'augmented'
elif named_interval_class_number == 1:
if numbered_interval_class_number == 11:
quality_string = 'diminished'
elif numbered_interval_class_number == 0:
quality_string = 'perfect'
elif numbered_interval_class_number == 1:
quality_string = 'augmented'
elif named_interval_class_number == 2:
if numbered_interval_class_number == 0:
quality_string = 'diminished'
elif numbered_interval_class_number == 1:
quality_string = 'minor'
elif numbered_interval_class_number == 2:
quality_string = 'major'
elif numbered_interval_class_number == 3:
quality_string = 'augmented'
elif named_interval_class_number == 3:
if numbered_interval_class_number == 2:
quality_string = 'diminished'
elif numbered_interval_class_number == 3:
quality_string = 'minor'
elif numbered_interval_class_number == 4:
quality_string = 'major'
elif numbered_interval_class_number == 5:
quality_string = 'augmented'
elif named_interval_class_number == 4:
if numbered_interval_class_number == 4:
quality_string = 'diminished'
elif numbered_interval_class_number == 5:
quality_string = 'perfect'
elif numbered_interval_class_number == 6:
quality_string = 'augmented'
elif named_interval_class_number == 5:
if numbered_interval_class_number == 6:
quality_string = 'diminished'
elif numbered_interval_class_number == 7:
quality_string = 'perfect'
elif numbered_interval_class_number == 8:
quality_string = 'augmented'
elif named_interval_class_number == 6:
if numbered_interval_class_number == 7:
quality_string = 'diminished'
elif numbered_interval_class_number == 8:
quality_string = 'minor'
elif numbered_interval_class_number == 9:
quality_string = 'major'
elif numbered_interval_class_number == 10:
quality_string = 'augmented'
elif named_interval_class_number == 7:
if numbered_interval_class_number == 9:
quality_string = 'diminished'
elif numbered_interval_class_number == 10:
quality_string = 'minor'
elif numbered_interval_class_number == 11:
quality_string = 'major'
elif numbered_interval_class_number == 0:
quality_string = 'augmented'
elif named_interval_class_number == 8:
if numbered_interval_class_number == 11:
quality_string = 'diminished'
elif numbered_interval_class_number == 0:
quality_string = 'perfect'
elif numbered_interval_class_number == 1:
quality_string = 'augmented'
if not direction_number == 0:
named_interval_number *= direction_number
named_interval = pitchtools.NamedInterval(quality_string,
named_interval_number)
return named_interval
def _initialize_augmented_sixth(quality_string):
if quality_string == 'French':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('major', 2),
pitchtools.NamedInterval('major', 3),
]
elif quality_string == 'German':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('minor', 3),
pitchtools.NamedInterval('augmented', 2),
]
elif quality_string == 'Italian':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('perfect', 1),
pitchtools.NamedInterval('augmented', 4),
]
elif quality_string == 'Swiss':
intervals = [
pitchtools.NamedInterval('major', 3),
pitchtools.NamedInterval('augmented', 2),
pitchtools.NamedInterval('minor', 3),
]
else:
message = 'unaccpetable quality string.'
raise ValueError(message)
intervals.insert(0, pitchtools.NamedInterval('perfect', 1))
return intervals
def _initialize_augmented_sixth(quality_string):
if quality_string == 'French':
intervals = [
pitchtools.NamedInterval('M3'),
pitchtools.NamedInterval('M2'),
pitchtools.NamedInterval('M3'),
]
elif quality_string == 'German':
intervals = [
pitchtools.NamedInterval('M3'),
pitchtools.NamedInterval('m3'),
pitchtools.NamedInterval('aug2'),
]
elif quality_string == 'Italian':
intervals = [
pitchtools.NamedInterval('M3'),
pitchtools.NamedInterval('P1'),
pitchtools.NamedInterval('aug4'),
]
elif quality_string == 'Swiss':
intervals = [
pitchtools.NamedInterval('M3'),
pitchtools.NamedInterval('aug2'),
pitchtools.NamedInterval('m3'),
]
else:
message = 'unaccpetable quality string.'
raise ValueError(message)
intervals.insert(0, pitchtools.NamedInterval('P1'))
return intervals
def _initialize_seventh(quality_string):
if quality_string == 'dominant':
intervals = [
pitchtools.NamedInterval('M3'),
pitchtools.NamedInterval('P5'),
pitchtools.NamedInterval('m7'),
]
elif quality_string == 'major':
intervals = [
pitchtools.NamedInterval('M3'),
pitchtools.NamedInterval('P5'),
pitchtools.NamedInterval('M7'),
]
elif quality_string == 'minor':
intervals = [
pitchtools.NamedInterval('m3'),
pitchtools.NamedInterval('P5'),
pitchtools.NamedInterval('m7'),
]
elif quality_string in ('diminished', 'fully diminished'):
intervals = [
pitchtools.NamedInterval('m3'),
pitchtools.NamedInterval('dim5'),
pitchtools.NamedInterval('dim7'),
]
elif quality_string == 'half diminished':
intervals = [
pitchtools.NamedInterval('m3'),
pitchtools.NamedInterval('P5'),
pitchtools.NamedInterval('dim7'),
]
else:
message = 'unacceptable quality string.'
raise ValueError(message)
intervals.insert(0, pitchtools.NamedInterval('P1'))
return intervals
def transpose_pitch_carrier_by_interval(pitch_carrier, interval):
'''Transpose `pitch_carrier` by named `interval`:
::
>>> chord = Chord("<c' e' g'>4")
::
>>> pitchtools.transpose_pitch_carrier_by_interval(
... chord, '+m2')
Chord("<df' f' af'>4")
Transpose `pitch_carrier` by numbered `interval`:
::
>>> chord = Chord("<c' e' g'>4")
::
>>> pitchtools.transpose_pitch_carrier_by_interval(chord, 1)
Chord("<cs' f' af'>4")
Returns non-pitch-carrying input unchaged:
::
>>> rest = Rest('r4')
::
>>> pitchtools.transpose_pitch_carrier_by_interval(rest, 1)
Rest('r4')
Return `pitch_carrier`.
'''
from abjad.tools import pitchtools
from abjad.tools import scoretools
def _transpose_pitch_by_named_interval(pitch, mdi):
pitch_number = pitch.pitch_number + mdi.semitones
diatonic_pitch_class_number = \
(pitch.diatonic_pitch_class_number + mdi.staff_spaces) % 7
diatonic_pitch_class_name = \
pitchtools.PitchClass._diatonic_pitch_class_number_to_diatonic_pitch_class_name[
diatonic_pitch_class_number]
named_pitch = pitchtools.NamedPitch(pitch_number,
diatonic_pitch_class_name)
return type(pitch)(named_pitch)
def _transpose_pitch_carrier_by_named_interval(pitch_carrier,
named_interval):
mdi = pitchtools.NamedInterval(named_interval)
if isinstance(pitch_carrier, pitchtools.Pitch):
return _transpose_pitch_by_named_interval(pitch_carrier, mdi)
elif isinstance(pitch_carrier, scoretools.Note):
new_note = copy.copy(pitch_carrier)
new_pitch = _transpose_pitch_by_named_interval(
pitch_carrier.written_pitch, mdi)
new_note.written_pitch = new_pitch
return new_note
elif isinstance(pitch_carrier, scoretools.Chord):
new_chord = copy.copy(pitch_carrier)
for new_nh, old_nh in \
zip(new_chord.note_heads, pitch_carrier.note_heads):
new_pitch = _transpose_pitch_by_named_interval(
old_nh.written_pitch, mdi)
new_nh.written_pitch = new_pitch
return new_chord
else:
return pitch_carrier
def _transpose_pitch_carrier_by_numbered_interval(pitch_carrier,
numbered_interval):
mci = pitchtools.NumberedInterval(numbered_interval)
if isinstance(pitch_carrier, pitchtools.Pitch):
number = pitch_carrier.pitch_number + mci.semitones
return type(pitch_carrier)(number)
elif isinstance(pitch_carrier, numbers.Number):
pitch_carrier = pitchtools.NumberedPitch(pitch_carrier)
result = _transpose_pitch_carrier_by_numbered_interval(
pitch_carrier, mci)
return result.pitch_number
elif isinstance(pitch_carrier, scoretools.Note):
new_note = copy.copy(pitch_carrier)
number = pitchtools.NumberedPitch(
pitch_carrier.written_pitch).pitch_number
number += mci.number
new_pitch = pitchtools.NamedPitch(number)
new_note.written_pitch = new_pitch
return new_note
elif isinstance(pitch_carrier, scoretools.Chord):
new_chord = copy.copy(pitch_carrier)
pairs = zip(new_chord.note_heads, pitch_carrier.note_heads)
for new_nh, old_nh in pairs:
number = \
pitchtools.NumberedPitch(old_nh.written_pitch).pitch_number
number += mci.number
new_pitch = pitchtools.NamedPitch(number)
new_nh.written_pitch = new_pitch
return new_chord
else:
return pitch_carrier
diatonic_types = (pitchtools.NamedInterval, str)
if isinstance(interval, diatonic_types):
interval = \
pitchtools.NamedInterval(interval)
return _transpose_pitch_carrier_by_named_interval(
pitch_carrier, interval)
else:
interval = \
pitchtools.NumberedInterval(interval)
return _transpose_pitch_carrier_by_numbered_interval(
pitch_carrier, interval)
def to_named_interval(self, staff_positions):
r'''Changes numbered interval to named interval that encompasses
`staff_positions`.
.. container:: example
::
>>> numbered_interval = pitchtools.NumberedInterval(1)
>>> numbered_interval.to_named_interval(2)
NamedInterval('+m2')
Returns named interval.
'''
from abjad.tools import pitchtools
direction_number = mathtools.sign(self.number)
if staff_positions == 1:
quality_string = None
if self.number % 12 == 11:
quality_string = 'augmented'
elif self.number % 12 == 0:
quality_string = 'perfect'
elif self.number % 12 == 1:
quality_string = 'augmented'
if not direction_number == 0:
staff_positions *= direction_number
if quality_string is None:
# TODO: handle double-augmented named intervals
return pitchtools.NamedInterval(self.number)
named_interval = pitchtools.NamedInterval(quality_string,
staff_positions)
return named_interval
named_interval_class_number = staff_positions % 7
numbered_interval_class_number = abs(self.number) % 12
if named_interval_class_number == 0:
if numbered_interval_class_number == 9:
quality_string = 'diminished'
elif numbered_interval_class_number == 10:
quality_string = 'minor'
elif numbered_interval_class_number == 11:
quality_string = 'major'
elif numbered_interval_class_number == 0:
quality_string = 'augmented'
elif named_interval_class_number == 1:
if numbered_interval_class_number == 11:
quality_string = 'diminished'
elif numbered_interval_class_number == 0:
quality_string = 'perfect'
elif numbered_interval_class_number == 1:
quality_string = 'augmented'
elif named_interval_class_number == 2:
if numbered_interval_class_number == 0:
quality_string = 'diminished'
elif numbered_interval_class_number == 1:
quality_string = 'minor'
elif numbered_interval_class_number == 2:
quality_string = 'major'
elif numbered_interval_class_number == 3:
quality_string = 'augmented'
elif named_interval_class_number == 3:
if numbered_interval_class_number == 2:
quality_string = 'diminished'
elif numbered_interval_class_number == 3:
quality_string = 'minor'
elif numbered_interval_class_number == 4:
quality_string = 'major'
elif numbered_interval_class_number == 5:
quality_string = 'augmented'
elif named_interval_class_number == 4:
if numbered_interval_class_number == 4:
quality_string = 'diminished'
elif numbered_interval_class_number == 5:
quality_string = 'perfect'
elif numbered_interval_class_number == 6:
quality_string = 'augmented'
elif named_interval_class_number == 5:
if numbered_interval_class_number == 6:
quality_string = 'diminished'
elif numbered_interval_class_number == 7:
quality_string = 'perfect'
elif numbered_interval_class_number == 8:
quality_string = 'augmented'
elif named_interval_class_number == 6:
if numbered_interval_class_number == 7:
quality_string = 'diminished'
elif numbered_interval_class_number == 8:
quality_string = 'minor'
elif numbered_interval_class_number == 9:
quality_string = 'major'
elif numbered_interval_class_number == 10:
quality_string = 'augmented'
elif named_interval_class_number == 7:
if numbered_interval_class_number == 9:
quality_string = 'diminished'
elif numbered_interval_class_number == 10:
quality_string = 'minor'
elif numbered_interval_class_number == 11:
quality_string = 'major'
elif numbered_interval_class_number == 0:
quality_string = 'augmented'
elif named_interval_class_number == 8:
if numbered_interval_class_number == 11:
quality_string = 'diminished'
elif numbered_interval_class_number == 0:
quality_string = 'perfect'
elif numbered_interval_class_number == 1:
quality_string = 'augmented'
if not direction_number == 0:
staff_positions *= direction_number
named_interval = pitchtools.NamedInterval(
quality_string,
staff_positions,
)
return named_interval
