def test_init(input_, expected_semitones):
if isinstance(expected_semitones, type) and issubclass(
expected_semitones, Exception):
with pytest.raises(expected_semitones):
abjad.NumberedPitchClass(input_)
return
instance = abjad.NumberedPitchClass(input_)
assert float(instance) == expected_semitones
def _from_number(self, number):
import abjad
self._number = self._to_nearest_quarter_tone(number)
octave_number, pc_number = divmod(self._number, 12)
self._octave = abjad.Octave(octave_number + 4)
self._pitch_class = abjad.NumberedPitchClass(pc_number)
def violin_pitches():
"""
1-175
"""
aggregate = [10, 19, 20, 23, 24, 26, 27, 29, 30, 33, 37, 40]
assert aggregate == [10, 19, 20, 23, 24, 26, 27, 29, 30, 33, 37, 40]
cary = [[-2, -12, -10], [18, 8, 7, 17], [15, 25, 21, 4, 11]]
order_1 = abjad.sequence.flatten(cary)
order_1 = [_ % 12 for _ in order_1]
assert order_1 == [10, 0, 2, 6, 8, 7, 5, 3, 1, 9, 4, 11]
order_2 = [abjad.sequence.rotate(_, n=1) for _ in cary]
order_2 = abjad.sequence.rotate(order_2, n=-1)
order_2 = abjad.sequence.flatten(order_2)
order_2 = [_ % 12 for _ in order_2]
assert order_2 == [5, 6, 8, 7, 11, 3, 1, 9, 4, 2, 10, 0]
order_3 = [abjad.sequence.rotate(_, n=2) for _ in cary]
order_3 = abjad.sequence.rotate(order_3, n=-2)
order_3 = abjad.sequence.flatten(order_3)
order_3 = [_ % 12 for _ in order_3]
assert order_3 == [4, 11, 3, 1, 9, 0, 2, 10, 7, 5, 6, 8]
aggregate_ = abjad.PitchSet(aggregate)
violin_pitches = []
orders = (order_1, order_2, order_3)
for order in orders:
order = [abjad.NumberedPitchClass(_) for _ in order]
pitches_ = baca.pcollections.register_pcs(aggregate_, order)
violin_pitches.extend(pitches_)
return violin_pitches
def duplicate_pitch_classes(self):
"""
Gets duplicate pitch-classes in pitch set.
.. container:: example
>>> set_ = abjad.PitchSet(
... items=[-2, -1.5, 6, 7, -1.5, 7],
... item_class=abjad.NumberedPitch,
... )
>>> set_.duplicate_pitch_classes
PitchClassSet([])
>>> set_ = abjad.PitchSet(
... items=[-2, -1.5, 6, 7, 10.5, 7],
... item_class=abjad.NumberedPitch,
... )
>>> set_.duplicate_pitch_classes
PitchClassSet([10.5])
Returns pitch-class set.
"""
import abjad
pitch_classes = []
duplicate_pitch_classes = []
for pitch in self:
pitch_class = abjad.NumberedPitchClass(pitch)
if pitch_class in pitch_classes:
duplicate_pitch_classes.append(pitch_class)
pitch_classes.append(pitch_class)
return abjad.PitchClassSet(duplicate_pitch_classes,
item_class=abjad.NumberedPitchClass)
def _from_pitch_or_pitch_class(self, pitch_or_pitch_class):
import abjad
self._number = self._to_nearest_quarter_tone(
float(pitch_or_pitch_class))
octave_number, pc_number = divmod(self._number, 12)
self._octave = abjad.Octave(octave_number + 4)
self._pitch_class = abjad.NumberedPitchClass(
pc_number, arrow=pitch_or_pitch_class.arrow)
def _from_number(self, number):
import abjad
number = self._to_nearest_quarter_tone(number)
div, mod = divmod(number, 12)
pitch_class = abjad.NumberedPitchClass(mod)
self._from_named_parts(
dpc_number=pitch_class._get_diatonic_pc_number(),
alteration=pitch_class._get_alteration(),
octave=div + 4,
)
def _from_named_parts(self, dpc_number, alteration, octave):
import abjad
pc_number = constants._diatonic_pc_number_to_pitch_class_number[
dpc_number]
pc_number += alteration
pc_number += (octave - 4) * 12
self._number = mathtools.integer_equivalent_number_to_integer(
pc_number)
octave_number, pc_number = divmod(self._number, 12)
self._pitch_class = abjad.NumberedPitchClass(pc_number)
self._octave = abjad.Octave(octave_number + 4)
def _from_number(self, number):
import abjad
numbered_pitch_class = abjad.NumberedPitchClass(number)
self._from_pitch_or_pitch_class(numbered_pitch_class)
(("cs", 4), 1),
(("dss", 1), -32),
(("gff", 5), 17),
(abjad.NamedPitch("bs'"), 12),
(abjad.NamedPitch("c"), -12),
(abjad.NamedPitch("cf,"), -25),
(abjad.NamedPitch(), 0),
(abjad.NamedPitchClass("cs'"), 1),
(abjad.NamedPitchClass("c"), 0),
(abjad.NamedPitchClass("cf,"), -1), # TODO: Is this correct?
(None, 0),
(abjad.NumberedPitch("bs'"), 12),
(abjad.NumberedPitch("c"), -12),
(abjad.NumberedPitch("cf,"), -25),
(abjad.NumberedPitch(), 0),
(abjad.NumberedPitchClass("bs'"), 0),
(abjad.NumberedPitchClass("c"), 0),
(abjad.NumberedPitchClass("cf,"), 11),
])
@pytest.mark.parametrize("input_, expected_semitones", values)
def test_init(input_, expected_semitones):
if isinstance(expected_semitones, type) and issubclass(
expected_semitones, Exception):
with pytest.raises(expected_semitones):
abjad.NamedPitch(input_)
return
instance = abjad.NamedPitch(input_)
assert float(instance) == expected_semitones
def __call__(self, pitch_classes):
r"""
Calls row on `pitch_classes`.
.. container:: example
Example row:
>>> numbers = [1, 11, 9, 3, 6, 7, 5, 4, 10, 2, 8, 0]
>>> row = abjad.TwelveToneRow(numbers)
>>> abjad.show(row) # doctest: +SKIP
.. container:: example
Permutes pitch-classes:
>>> row([abjad.NumberedPitchClass(2)])
[NumberedPitchClass(9)]
>>> row([abjad.NumberedPitchClass(3)])
[NumberedPitchClass(3)]
>>> row([abjad.NumberedPitchClass(4)])
[NumberedPitchClass(6)]
.. container:: example
Permutes pitch-class segment:
>>> items = [-2, -1, 6, 7, -1, 7]
>>> segment = abjad.PitchClassSegment(items=items)
>>> abjad.show(segment) # doctest: +SKIP
>>> segment_ = row(segment)
>>> abjad.show(segment_) # doctest: +SKIP
.. docs::
>>> lilypond_file = segment_.__illustrate__()
>>> abjad.f(lilypond_file[abjad.Voice])
\new Voice
{
af'8
c'8
f'8
e'8
c'8
e'8
\bar "|." %! SCORE_1
\override Score.BarLine.transparent = ##f
}
.. container:: example
Permutes row:
>>> numbers = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
>>> row_2 = abjad.TwelveToneRow(numbers)
>>> abjad.show(row_2) # doctest: +SKIP
.. docs::
>>> lilypond_file = row_2.__illustrate__()
>>> abjad.f(lilypond_file[abjad.Voice])
\new Voice
{
c'8
cs'8
d'8
ef'8
e'8
f'8
fs'8
g'8
af'8
a'8
bf'8
b'8
\bar "|." %! SCORE_1
\override Score.BarLine.transparent = ##f
}
>>> row_3 = row(row_2)
>>> abjad.show(row_3) # doctest: +SKIP
.. docs::
>>> lilypond_file = row_3.__illustrate__()
>>> abjad.f(lilypond_file[abjad.Voice])
\new Voice
{
cs'8
b'8
a'8
ef'8
fs'8
g'8
f'8
e'8
bf'8
d'8
af'8
c'8
\bar "|." %! SCORE_1
\override Score.BarLine.transparent = ##f
}
.. container:: example
Permutes row:
>>> numbers = [11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0]
>>> row_2 = abjad.TwelveToneRow(numbers)
>>> abjad.show(row_2) # doctest: +SKIP
.. docs::
>>> lilypond_file = row_2.__illustrate__()
>>> abjad.f(lilypond_file[abjad.Voice])
\new Voice
{
b'8
bf'8
a'8
af'8
g'8
fs'8
f'8
e'8
ef'8
d'8
cs'8
c'8
\bar "|." %! SCORE_1
\override Score.BarLine.transparent = ##f
}
>>> row_3 = row(row_2)
>>> abjad.show(row_3) # doctest: +SKIP
.. docs::
>>> lilypond_file = row_3.__illustrate__()
>>> abjad.f(lilypond_file[abjad.Voice])
\new Voice
{
c'8
af'8
d'8
bf'8
e'8
f'8
g'8
fs'8
ef'8
a'8
b'8
cs'8
\bar "|." %! SCORE_1
\override Score.BarLine.transparent = ##f
}
.. container:: example
Permutes row:
>>> numbers = [10, 0, 2, 6, 8, 7, 5, 3, 1, 9, 4, 11]
>>> row_2 = abjad.TwelveToneRow(numbers)
>>> abjad.show(row_2) # doctest: +SKIP
.. docs::
>>> lilypond_file = row_2.__illustrate__()
>>> abjad.f(lilypond_file[abjad.Voice])
\new Voice
{
bf'8
c'8
d'8
fs'8
af'8
g'8
f'8
ef'8
cs'8
a'8
e'8
b'8
\bar "|." %! SCORE_1
\override Score.BarLine.transparent = ##f
}
>>> row_3 = row(row_2)
>>> abjad.show(row_3) # doctest: +SKIP
.. docs::
>>> lilypond_file = row_3.__illustrate__()
>>> abjad.f(lilypond_file[abjad.Voice])
\new Voice
{
af'8
cs'8
a'8
f'8
bf'8
e'8
g'8
ef'8
b'8
d'8
fs'8
c'8
\bar "|." %! SCORE_1
\override Score.BarLine.transparent = ##f
}
Returns permuted pitch-classes in object of type `pitch_classes`.
"""
import abjad
new_pitch_classes = []
for pitch_class in pitch_classes:
pitch_class = abjad.NumberedPitchClass(pitch_class)
i = pitch_class.number
new_pitch_class = self[i]
new_pitch_classes.append(new_pitch_class)
result = type(pitch_classes)(new_pitch_classes)
return result
def _initialize_by_number(self, argument):
import abjad
pitch_class_number = float(argument) % 12
numbered_pitch_class = abjad.NumberedPitchClass(pitch_class_number)
pitch_class_name = numbered_pitch_class.name
self._initialize_by_pitch_name(pitch_class_name)
