def _duration_and_possible_denominators_to_time_signature(
duration,
denominators=None,
factor=None,
):
# check input
duration = durationtools.Duration(duration)
if denominators is not None:
if factor is not None:
denominators = [
d for d in denominators if factor in mathtools.factors(d)
]
for desired_denominator in sorted(denominators):
nonreduced_fraction = mathtools.NonreducedFraction(duration)
candidate_pair = \
nonreduced_fraction.with_denominator(desired_denominator)
if candidate_pair.denominator == desired_denominator:
return indicatortools.TimeSignature(candidate_pair)
if factor is not None:
if factor in mathtools.factors(duration.denominator):
return indicatortools.TimeSignature(duration)
else:
time_signature_numerator = factor * duration.numerator
time_signature_denominator = factor * duration.denominator
return indicatortools.TimeSignature(
(time_signature_numerator, time_signature_denominator))
else:
return indicatortools.TimeSignature(duration)
def test_systemtools_StorageFormatAgent_get_import_statements_03():
subject = [
indicatortools.TimeSignature((3, 4)),
indicatortools.TimeSignature((4, 4)),
]
agent = systemtools.StorageFormatAgent(subject)
assert agent.get_import_statements() == (
'from abjad.tools import indicatortools', )
def __init__(
self,
time_signatures=None,
divisions=None,
rh_rhythm_maker=None,
lh_rhythm_maker=None,
rh_pitch_range=None,
lh_pitch_range=None,
):
SegmentMaker.__init__(self)
time_signatures = time_signatures or []
time_signatures = [
indicatortools.TimeSignature(x) for x in time_signatures
]
self._time_signatures = time_signatures
self._divisions = divisions
if rh_rhythm_maker is None:
rh_rhythm_maker = rhythmmakertools.NoteRhythmMaker()
assert isinstance(rh_rhythm_maker, rhythmmakertools.RhythmMaker)
self._rh_rhythm_maker = rh_rhythm_maker
if lh_rhythm_maker is None:
lh_rhythm_maker = rhythmmakertools.NoteRhythmMaker()
assert isinstance(lh_rhythm_maker, rhythmmakertools.RhythmMaker)
self._lh_rhythm_maker = lh_rhythm_maker
rh_pitch_range = rh_pitch_range or '[C4, C6]'
rh_pitch_range = pitchtools.PitchRange(rh_pitch_range)
self._rh_pitch_range = rh_pitch_range
lh_pitch_range = lh_pitch_range or '[C2, C4)'
lh_pitch_range = pitchtools.PitchRange(lh_pitch_range)
self._lh_pitch_range = lh_pitch_range
def _make_container(self, division):
from abjad.tools import rhythmmakertools
duration_spelling_specifier = self.duration_spelling_specifier
if duration_spelling_specifier is None:
duration_spelling_specifier = \
rhythmmakertools.DurationSpellingSpecifier()
forbidden_written_duration = \
duration_spelling_specifier.forbidden_written_duration
time_signature = indicatortools.TimeSignature(division)
implied_prolation = time_signature.implied_prolation
numerator, denominator = division.pair
denominator = mathtools.greatest_power_of_two_less_equal(denominator)
assert mathtools.is_positive_integer_power_of_two(denominator)
exponent = self.exponent or 0
denominator_multiplier = 2**exponent
denominator *= denominator_multiplier
unit_duration = durationtools.Duration(1, denominator)
if forbidden_written_duration is not None:
multiplier = 1
while forbidden_written_duration <= unit_duration:
unit_duration /= 2
multiplier *= 2
numerator *= multiplier
numerator *= denominator_multiplier
notes = scoretools.make_notes(numerator * [0], [unit_duration])
if implied_prolation == 1:
result = scoretools.Container(notes)
else:
multiplier = implied_prolation
result = scoretools.Tuplet(multiplier, notes)
return result
def _scale(self, multiplier=None):
from abjad.tools import indicatortools
if multiplier is None:
return
multiplier = durationtools.Multiplier(multiplier)
old_time_signature = self.time_signature
if mathtools.is_nonnegative_integer_power_of_two(multiplier) and \
1 <= multiplier:
old_numerator = old_time_signature.numerator
old_denominator = old_time_signature.denominator
new_denominator = old_denominator // multiplier.numerator
pair = (old_numerator, new_denominator)
new_time_signature = indicatortools.TimeSignature(pair)
else:
old_denominator = old_time_signature.denominator
old_duration = old_time_signature.duration
new_duration = multiplier * old_duration
new_time_signature = \
self._duration_and_possible_denominators_to_time_signature(
new_duration,
[old_denominator],
multiplier.denominator,
)
detach(indicatortools.TimeSignature, self)
attach(new_time_signature, self)
contents_multiplier_denominator = \
mathtools.greatest_power_of_two_less_equal(multiplier.denominator)
pair = (multiplier.numerator, contents_multiplier_denominator)
contents_multiplier = durationtools.Multiplier(*pair)
self._scale_contents(contents_multiplier)
def to_measure(self, cell_duration_denominator=8):
r'''Changes pitch array row to measures.
Sets time signature numerators equal to pitch array row widths and time
signature denominators equal to `cell_duration_denominator`.
.. container:: example
**Example 1.** Changes row to measure:
::
>>> array = pitchtools.PitchArray([
... [1, (2, 1), ([-2, -1.5], 2)],
... [(7, 2), (6, 1), 1]])
::
>>> print(array)
[ ] [d'] [bf bqf ]
[g' ] [fs' ] [ ]
::
>>> measure = array.rows[0].to_measure()
>>> show(measure) # doctest: +SKIP
.. doctest::
>>> print(format(measure))
{
\time 4/8
r8
d'8
<bf bqf>4
}
Returns measure.
'''
from abjad.tools import scoretools
time_signature = indicatortools.TimeSignature(
(self.width, cell_duration_denominator))
measure = scoretools.Measure(time_signature, [])
basic_cell_duration = \
durationtools.Duration(1, cell_duration_denominator)
measure_pitches, measure_durations = [], []
for cell in self.cells:
cell_pitches = cell.pitches
if not cell_pitches:
measure_pitches.append(None)
elif len(cell_pitches) == 1:
measure_pitches.append(cell_pitches[0])
else:
measure_pitches.append(cell_pitches)
measure_duration = cell.width * basic_cell_duration
measure_durations.append(measure_duration)
leaves = scoretools.make_leaves(measure_pitches, measure_durations)
measure.extend(leaves)
return measure
def __init__(
self,
offset_in_ms=None,
search_tree=None,
time_signature=None,
tempo=None,
use_full_measure=False,
):
from abjad.tools import quantizationtools
offset_in_ms = offset_in_ms or 0
offset_in_ms = durationtools.Offset(offset_in_ms)
if search_tree is None:
search_tree = quantizationtools.UnweightedSearchTree()
assert isinstance(search_tree, quantizationtools.SearchTree)
tempo = tempo or indicatortools.Tempo((1, 4), 60)
#tempo = indicatortools.Tempo(tempo)
if isinstance(tempo, tuple):
tempo = indicatortools.Tempo(*tempo)
assert not tempo.is_imprecise
time_signature = time_signature or (4, 4)
time_signature = indicatortools.TimeSignature(time_signature)
use_full_measure = bool(use_full_measure)
beats = []
if use_full_measure:
beatspan = time_signature.duration
beat = quantizationtools.QTargetBeat(
beatspan=beatspan,
offset_in_ms=offset_in_ms,
search_tree=search_tree,
tempo=tempo
)
beats.append(beat)
else:
beatspan = durationtools.Duration(1, time_signature.denominator)
current_offset_in_ms = offset_in_ms
beatspan_duration_in_ms = \
tempo.duration_to_milliseconds(beatspan)
for i in range(time_signature.numerator):
beat = quantizationtools.QTargetBeat(
beatspan=beatspan,
offset_in_ms=current_offset_in_ms,
search_tree=search_tree,
tempo=tempo
)
beats.append(beat)
current_offset_in_ms += beatspan_duration_in_ms
self._beats = tuple(beats)
self._offset_in_ms = offset_in_ms
self._search_tree = search_tree
self._tempo = tempo
self._time_signature = time_signature
self._use_full_measure = use_full_measure
def coerce(expr):
if isinstance(expr, tuple):
return indicatortools.TimeSignature(expr)
elif isinstance(expr, indicatortools.TimeSignature):
return copy.copy(expr)
else:
message = 'must be pair or time signature: {!r}.'
message = message.format(expr)
raise Exception(message)
def move_full_measure_tuplet_prolation_to_measure_time_signature(expr):
r'''Moves prolation of full-measure tuplet to time signature of measure.
Measures usually become non-power-of-two as as result.
.. container:: example
::
>>> tuplet = scoretools.FixedDurationTuplet(Duration(2, 8), "c'8 d'8 e'8")
>>> measure = Measure((2, 8), [tuplet])
>>> measure.implicit_scaling = True
>>> scoretools.move_full_measure_tuplet_prolation_to_measure_time_signature(measure)
.. doctest::
>>> print(format(measure))
{
\time 3/12
\scaleDurations #'(2 . 3) {
c'8
d'8
e'8
}
}
Returns none.
'''
from abjad.tools import indicatortools
from abjad.tools import scoretools
for measure in iterate(expr).by_class(scoretools.Measure):
if len(measure) == 1:
if isinstance(measure[0], scoretools.Tuplet):
tuplet = measure[0]
tuplet_multiplier = tuplet.multiplier
tuplet_denominator = tuplet_multiplier.denominator
reduced_denominator = mathtools.remove_powers_of_two(
tuplet_denominator)
time_signature = measure.time_signature
time_signature_rational = durationtools.Duration(
time_signature.numerator, time_signature.denominator)
numerator = time_signature_rational.numerator * reduced_denominator
denominator = time_signature_rational.denominator * reduced_denominator
time_signature = indicatortools.TimeSignature(
(numerator, denominator))
detach(indicatortools.TimeSignature, measure)
attach(time_signature, measure)
if time_signature.has_non_power_of_two_denominator:
measure.implicit_scaling = True
time_signature_multiplier = \
measure.time_signature.implied_prolation
written_adjustment = tuplet_multiplier.__div__(
time_signature_multiplier)
tuplet._extract()
measure._scale_contents(written_adjustment)
def _conditionally_adjust_time_signature(self, old_denominator):
if self.automatically_adjust_time_signature:
naive_time_signature = self._preprolated_duration
better_time_signature = \
mathtools.NonreducedFraction(naive_time_signature)
better_time_signature = \
better_time_signature.with_denominator(old_denominator)
better_time_signature = \
indicatortools.TimeSignature(better_time_signature)
detach(indicatortools.TimeSignature, self)
attach(better_time_signature, self)
def _remove_and_shrink_durated_parent_containers(self):
from abjad.tools import indicatortools
from abjad.tools import scoretools
prolated_leaf_duration = self._get_duration()
parentage = self._get_parentage(include_self=False)
prolations = parentage._prolations
current_prolation, i = durationtools.Duration(1), 0
parent = self._parent
while parent is not None and not parent.is_simultaneous:
current_prolation *= prolations[i]
if isinstance(parent, scoretools.FixedDurationTuplet):
candidate_new_parent_dur = (
parent.target_duration -
current_prolation * self.written_duration)
if durationtools.Duration(0) < candidate_new_parent_dur:
parent.target_duration = candidate_new_parent_dur
elif isinstance(parent, scoretools.Measure):
indicator = parent._get_indicator(indicatortools.TimeSignature)
parent_time_signature = indicator
old_prolation = parent_time_signature.implied_prolation
naive_time_signature = (parent_time_signature.duration -
prolated_leaf_duration)
better_time_signature = mathtools.NonreducedFraction(
naive_time_signature)
better_time_signature = better_time_signature.with_denominator(
parent_time_signature.denominator)
better_time_signature = indicatortools.TimeSignature(
better_time_signature)
detach(indicatortools.TimeSignature, parent)
attach(better_time_signature, parent)
indicator = parent._get_indicator(indicatortools.TimeSignature)
parent_time_signature = indicator
new_prolation = parent_time_signature.implied_prolation
adjusted_prolation = old_prolation / new_prolation
for x in parent:
if isinstance(x, scoretools.FixedDurationTuplet):
x.target_duration *= adjusted_prolation
else:
if adjusted_prolation != 1:
new_target = \
x._preprolated_duration * adjusted_prolation
scoretools.FixedDurationTuplet(new_target, [x])
parent = parent._parent
i += 1
parentage = self._get_parentage(include_self=False)
parent = self._parent
if parent:
index = parent.index(self)
del (parent[index])
for x in parentage:
if not len(x):
x._extract()
else:
break
def set_measure_denominator_and_adjust_numerator(measure, denominator):
r'''Set `measure` time signature `denominator` and multiply time signature numerator accordingly:
::
>>> measure = Measure((3, 8), "c'8 d'8 e'8")
>>> beam = spannertools.Beam()
>>> attach(beam, measure[:])
.. doctest::
>>> print(format(measure))
{
\time 3/8
c'8 [
d'8
e'8 ]
}
::
>>> scoretools.set_measure_denominator_and_adjust_numerator(measure, 16)
Measure((6, 16), "c'8 d'8 e'8")
.. doctest::
>>> print(format(measure))
{
\time 6/16
c'8 [
d'8
e'8 ]
}
Leave `measure` contents unchanged.
Return `measure`.
'''
from abjad.tools import scoretools
if isinstance(measure, scoretools.Measure):
# to allow iteration inside zero-update loop
old_time_signature = measure.time_signature
old_time_signature_pair = (old_time_signature.numerator,
old_time_signature.denominator)
new_time_signature = mathtools.NonreducedFraction(
old_time_signature_pair)
new_time_signature = new_time_signature.with_denominator(denominator)
new_time_signature = indicatortools.TimeSignature(new_time_signature)
detach(indicatortools.TimeSignature, measure)
attach(new_time_signature, measure)
return measure
def __illustrate__(self):
r'''Illustrates tempo inventory.
::
>>> show(inventory) # doctest: +SKIP
Returns LilyPond file.
'''
from abjad.tools import durationtools
from abjad.tools import lilypondfiletools
from abjad.tools import indicatortools
from abjad.tools import markuptools
from abjad.tools import pitchtools
from abjad.tools import scoretools
from abjad.tools import spannertools
from abjad.tools.topleveltools import attach
from abjad.tools.topleveltools import iterate
from abjad.tools.topleveltools import override
from abjad.tools.topleveltools import new
staff = scoretools.Staff()
score = scoretools.Score([staff])
time_signature = indicatortools.TimeSignature((2, 4))
attach(time_signature, staff)
# the zero note avoids a lilypond spacing problem:
# score-initial tempo indications slip to the left
zero_note = scoretools.Note("c'2")
staff.append(zero_note)
command = indicatortools.LilyPondCommand('break')
attach(command, zero_note)
for tempo in self.items:
note = scoretools.Note("c'2")
attach(tempo, note)
staff.append(note)
command = indicatortools.LilyPondCommand('break')
attach(command, note)
override(score).bar_line.transparent = True
override(score).bar_number.stencil = False
override(score).clef.stencil = False
override(score).note_head.no_ledgers = True
override(score).note_head.transparent = True
override(score).staff_symbol.transparent = True
override(score).stem.transparent = True
override(score).time_signature.stencil = False
lilypond_file = lilypondfiletools.make_basic_lilypond_file(score)
lilypond_file.layout_block.indent = 0
lilypond_file.layout_block.ragged_right = True
lilypond_file.items.remove(lilypond_file['paper'])
lilypond_file.header_block.tagline = markuptools.Markup('""')
return lilypond_file
def implied_time_signature(self):
r'''Gets implied time signature of meter.
.. container:: example
::
>>> metertools.Meter((4, 4)).implied_time_signature
TimeSignature((4, 4))
Returns time signature.
'''
return indicatortools.TimeSignature(
self.root_node.preprolated_duration)
def __init__(self, *arguments, **keywords):
from abjad.tools import quantizationtools
search_tree = keywords.get('search_tree',
quantizationtools.UnweightedSearchTree())
assert isinstance(search_tree, quantizationtools.SearchTree)
self._search_tree = search_tree
tempo = keywords.get('tempo', ((1, 4), 60))
if isinstance(tempo, tuple):
tempo = indicatortools.MetronomeMark(*tempo)
self._tempo = tempo
self._time_signature = indicatortools.TimeSignature(
keywords.get('time_signature', (4, 4)))
self._use_full_measure = bool(keywords.get('use_full_measure'))
QSchema.__init__(self, *arguments, **keywords)
def make_score(tuplet_duration, row_count, column_count):
r'''Makes score.
'''
score = scoretools.Score()
rows_of_nested_tuplets = \
abjad.demos.ferneyhough.make_rows_of_nested_tuplets(
tuplet_duration, row_count, column_count)
for row_of_nested_tuplets in rows_of_nested_tuplets:
staff = scoretools.Staff(row_of_nested_tuplets)
staff.context_name = 'RhythmicStaff'
time_signature = indicatortools.TimeSignature((1, 4))
attach(time_signature, staff)
score.append(staff)
return score
def __init__(
self,
time_signature=None,
music=None,
implicit_scaling=False,
):
# set time signature adjustment before contents initialization
self._automatically_adjust_time_signature = False
time_signature = time_signature or (4, 4)
self.implicit_scaling = implicit_scaling
FixedDurationContainer.__init__(self, time_signature, music)
self._always_format_time_signature = False
self._measure_number = None
time_signature = indicatortools.TimeSignature(time_signature)
attach(time_signature, self)
def make_spacer_skip_measures(time_signatures, implicit_scaling=False):
r'''Makes measures with full-measure spacer skips from `time_signatures`.
.. container:: example
::
>>> measures = scoretools.make_spacer_skip_measures(
... [(1, 8), (5, 16), (5, 16)])
>>> staff = Staff(measures)
>>> show(staff) # doctest: +SKIP
.. doctest::
>>> print(format(staff))
\new Staff {
{
\time 1/8
s1 * 1/8
}
{
\time 5/16
s1 * 5/16
}
{
s1 * 5/16
}
}
Returns selection of unincorporated measures.
'''
from abjad.tools import indicatortools
from abjad.tools import scoretools
# make measures
measures = []
for time_signature in time_signatures:
time_signature = indicatortools.TimeSignature(time_signature)
measure = scoretools.Measure(
time_signature,
implicit_scaling=implicit_scaling,
)
measures.append(measure)
scoretools.fill_measures_in_expr_with_full_measure_spacer_skips(measures)
# return measures
measures = selectiontools.Selection(measures)
return measures
def __init__(self,
search_tree=None,
tempo=None,
time_signature=None,
use_full_measure=None):
QSchemaItem.__init__(
self,
search_tree=search_tree,
tempo=tempo,
)
if time_signature is not None:
time_signature = indicatortools.TimeSignature(time_signature)
self._time_signature = time_signature
if use_full_measure is not None:
use_full_measure = bool(use_full_measure)
self._use_full_measure = use_full_measure
def _get_logical_measure_start_offsets(self, component):
from abjad.tools import durationtools
from abjad.tools import indicatortools
from abjad.tools import sequencetools
from abjad.tools.topleveltools import inspect_
from abjad.tools.topleveltools import iterate
expressions = []
prototype = indicatortools.TimeSignature
components = self._iterate_entire_score(component)
for component in components:
expressions_ = component._get_indicators(
prototype,
unwrap=False,
)
expressions.extend(expressions_)
pairs = []
for expression in expressions:
inspector = inspect_(expression.component)
start_offset = inspector.get_timespan().start_offset
time_signature = expression.indicator
pair = start_offset, time_signature
pairs.append(pair)
offset_zero = durationtools.Offset(0)
default_time_signature = indicatortools.TimeSignature((4, 4))
default_pair = (offset_zero, default_time_signature)
if pairs and not pairs[0] == offset_zero:
pairs.insert(0, default_pair)
elif not pairs:
pairs = [default_pair]
pairs.sort(key=lambda x: x[0])
parentage = component._get_parentage()
score_root = parentage.root
inspector = inspect_(score_root)
score_stop_offset = inspector.get_timespan().stop_offset
dummy_last_pair = (score_stop_offset, None)
pairs.append(dummy_last_pair)
measure_start_offsets = []
pairs = sequencetools.iterate_sequence_nwise(pairs, n=2)
for current_pair, next_pair in pairs:
current_start_offset, current_time_signature = current_pair
next_start_offset, next_time_signature = next_pair
measure_start_offset = current_start_offset
while measure_start_offset < next_start_offset:
measure_start_offsets.append(measure_start_offset)
measure_start_offset += current_time_signature.duration
return measure_start_offsets
def _make_repeated_rests_from_time_signature(time_signature):
from abjad.tools import indicatortools
from abjad.tools import scoretools
# afford basic input polymorphism
time_signature = indicatortools.TimeSignature(time_signature)
# check input
if time_signature.has_non_power_of_two_denominator:
message = 'TODO: extend this function for time signatures'
message += ' with non-power-of-two denominators.'
raise NotImplementedError(message)
# make and return repeated rests
rest = scoretools.Rest((1, time_signature.denominator))
result = time_signature.numerator * rest
result = selectiontools.Selection(result)
return result
def make_repeated_notes_from_time_signature(time_signature, pitch="c'"):
'''Make repeated notes from `time_signature`:
::
>>> scoretools.make_repeated_notes_from_time_signature((5, 32))
Selection([Note("c'32"), Note("c'32"), Note("c'32"), Note("c'32"), Note("c'32")])
Make repeated notes with `pitch` from `time_signature`:
::
>>> scoretools.make_repeated_notes_from_time_signature((5, 32), pitch="d''")
Selection([Note("d''32"), Note("d''32"), Note("d''32"), Note("d''32"), Note("d''32")])
Returns list of notes.
'''
from abjad.tools import indicatortools
from abjad.tools import scoretools
# afford basic input polymorphism
time_signature = indicatortools.TimeSignature(time_signature)
# check input
if time_signature.has_non_power_of_two_denominator:
raise NotImplementedError(
'TODO: extend this function for time signatures with a non-power-of-two denominators.'
)
# make and return repeated notes
duration = (1, time_signature.denominator)
result = time_signature.numerator * scoretools.Note(pitch, duration)
# return result
result = selectiontools.Selection(result)
return result
def _split_at_index(
self,
i,
fracture_spanners=False,
):
r'''Splits container to the left of index `i`.
Preserves tuplet multiplier when container is a tuplet.
Preserves time signature denominator when container is a measure.
Resizes resizable containers.
Returns split parts.
'''
from abjad.tools import indicatortools
from abjad.tools import scoretools
from abjad.tools import selectiontools
from abjad.tools import spannertools
# partition my music
left_music = self[:i]
right_music = self[i:]
# instantiate new left and right containers
if isinstance(self, scoretools.Measure):
time_signature = self._get_effective(indicatortools.TimeSignature)
denominator = time_signature.denominator
left_duration = sum([x._get_duration() for x in left_music])
left_pair = mathtools.NonreducedFraction(left_duration)
left_pair = left_pair.with_multiple_of_denominator(denominator)
left_time_signature = indicatortools.TimeSignature(left_pair)
left = type(self)(left_time_signature, left_music)
left.implicit_scaling = self.implicit_scaling
right_duration = sum([x._get_duration() for x in right_music])
right_pair = mathtools.NonreducedFraction(right_duration)
right_pair = right_pair.with_multiple_of_denominator(denominator)
right_time_signature = indicatortools.TimeSignature(right_pair)
right = type(self)(right_time_signature, right_music)
right.implicit_scaling = self.implicit_scaling
elif isinstance(self, scoretools.FixedDurationTuplet):
multiplier = self.multiplier
left = type(self)(1, left_music)
right = type(self)(1, right_music)
target_duration = multiplier * left._contents_duration
left.target_duration = target_duration
target_duration = multiplier * right._contents_duration
right.target_duration = target_duration
elif isinstance(self, scoretools.Tuplet):
multiplier = self.multiplier
left = type(self)(multiplier, left_music)
right = type(self)(multiplier, right_music)
else:
left = type(self)(left_music)
right = type(self)(right_music)
# save left and right containers together for iteration
halves = (left, right)
nonempty_halves = [half for half in halves if len(half)]
# give my attached spanners to my children
self._move_spanners_to_children()
# incorporate left and right parents in score if possible
selection = selectiontools.SliceSelection(self)
parent, start, stop = selection._get_parent_and_start_stop_indices()
if parent is not None:
parent._music.__setitem__(slice(start, stop + 1), nonempty_halves)
for part in nonempty_halves:
part._set_parent(parent)
else:
left._set_parent(None)
right._set_parent(None)
# fracture spanners if requested
if fracture_spanners:
for spanner in left._get_spanners():
index = spanner._index(left)
spanner._fracture(index, direction=Right)
# return new left and right containers
return halves
def time(self, number_list, fraction):
r'''Handles LilyPond ``\time`` command.
'''
n, d = fraction.numerator, fraction.denominator
return indicatortools.TimeSignature((n, d))
def scale_and_adjust_time_signature(self, multiplier=None):
r'''Scales `measure` by `multiplier` and adjusts time signature.
.. container:: example
Scales measure by non-power-of-two multiplier:
::
>>> measure = Measure((3, 8), "c'8 d'8 e'8")
>>> measure.implicit_scaling = True
>>> show(measure) # doctest: +SKIP
.. doctest::
>>> print(format(measure))
{
\time 3/8
c'8
d'8
e'8
}
::
>>> measure.scale_and_adjust_time_signature(Multiplier(2, 3))
>>> show(measure) # doctest: +SKIP
.. doctest::
>>> print(format(measure))
{
\time 3/12
\scaleDurations #'(2 . 3) {
c'8
d'8
e'8
}
}
Returns none.
'''
from abjad.tools import indicatortools
from abjad.tools import scoretools
if multiplier == 0:
raise ZeroDivisionError
old_time_signature = self.time_signature
old_pair = \
(old_time_signature.numerator, old_time_signature.denominator)
old_multiplier = old_time_signature.implied_prolation
old_multiplier_pair = \
(old_multiplier.numerator, old_multiplier.denominator)
multiplied_pair = mathtools.NonreducedFraction(old_multiplier_pair)
multiplied_pair = multiplied_pair.multiply_without_reducing(multiplier)
multiplied_pair = multiplied_pair.pair
reduced_pair = mathtools.NonreducedFraction(old_multiplier_pair)
reduced_pair = reduced_pair.multiply_with_cross_cancelation(multiplier)
reduced_pair = reduced_pair.pair
if reduced_pair != multiplied_pair:
new_pair = mathtools.NonreducedFraction(old_pair)
new_pair = \
new_pair.multiply_with_numerator_preservation(multiplier)
new_time_signature = indicatortools.TimeSignature(new_pair)
detach(indicatortools.TimeSignature, self)
attach(new_time_signature, self)
remaining_multiplier = durationtools.Multiplier(reduced_pair)
if remaining_multiplier != durationtools.Multiplier(1):
self._scale_contents(remaining_multiplier)
elif self._all_contents_are_scalable_by_multiplier(multiplier):
self._scale_contents(multiplier)
if (old_time_signature.has_non_power_of_two_denominator
or not mathtools.is_nonnegative_integer_power_of_two(
multiplier)):
new_pair = mathtools.NonreducedFraction(old_pair)
new_pair = new_pair.multiply_with_cross_cancelation(multiplier)
new_pair = new_pair.pair
# multiplier is a negative power of two, like 1/2, 1/4, etc.
elif multiplier < durationtools.Multiplier(0):
new_pair = \
mathtools.NonreducedFraction.multiply_without_reducing(
old_pair, multiplier)
# multiplier is a nonnegative power of two, like 0, 1, 2, 4, etc.
elif durationtools.Multiplier(0) < multiplier:
new_pair = mathtools.NonreducedFraction(old_pair)
new_pair = new_pair.multiply_with_numerator_preservation(
multiplier)
elif multiplier == durationtools.Multiplier(0):
raise ZeroDivisionError
new_time_signature = indicatortools.TimeSignature(new_pair)
detach(indicatortools.TimeSignature, self)
attach(new_time_signature, self)
if new_time_signature.has_non_power_of_two_denominator:
self.implicit_scaling = True
else:
new_pair = mathtools.NonreducedFraction(old_pair)
new_pair = new_pair.multiply_with_numerator_preservation(
multiplier)
new_time_signature = indicatortools.TimeSignature(new_pair)
detach(indicatortools.TimeSignature, self)
attach(new_time_signature, self)
if new_time_signature.has_non_power_of_two_denominator:
self.implicit_scaling = True
remaining_multiplier = \
multiplier / new_time_signature.implied_prolation
if remaining_multiplier != durationtools.Multiplier(1):
self._scale_contents(remaining_multiplier)
def make_mozart_score():
r'''Makes Mozart score.
'''
score_template = templatetools.TwoStaffPianoScoreTemplate()
score = score_template()
# select the measures to use
choices = abjad.demos.mozart.choose_mozart_measures()
# create and populate the volta containers
treble_volta = scoretools.Container()
bass_volta = scoretools.Container()
for choice in choices[:7]:
treble, bass = abjad.demos.mozart.make_mozart_measure(choice)
treble_volta.append(treble)
bass_volta.append(bass)
# attach indicators to the volta containers
command = indicatortools.LilyPondCommand('repeat volta 2', 'before')
attach(command, treble_volta)
command = indicatortools.LilyPondCommand('repeat volta 2', 'before')
attach(command, bass_volta)
# append the volta containers to our staves
score['RH Voice'].append(treble_volta)
score['LH Voice'].append(bass_volta)
# create and populate the alternative ending containers
treble_alternative = scoretools.Container()
bass_alternative = scoretools.Container()
for choice in choices[7:9]:
treble, bass = abjad.demos.mozart.make_mozart_measure(choice)
treble_alternative.append(treble)
bass_alternative.append(bass)
# attach indicators to the alternative containers
command = indicatortools.LilyPondCommand('alternative', 'before')
attach(command, treble_alternative)
command = indicatortools.LilyPondCommand('alternative', 'before')
attach(command, bass_alternative)
# append the alternative containers to our staves
score['RH Voice'].append(treble_alternative)
score['LH Voice'].append(bass_alternative)
# create the remaining measures
for choice in choices[9:]:
treble, bass = abjad.demos.mozart.make_mozart_measure(choice)
score['RH Voice'].append(treble)
score['LH Voice'].append(bass)
# attach indicators
time_signature = indicatortools.TimeSignature((3, 8))
attach(time_signature, score['RH Staff'])
bar_line = indicatortools.BarLine('|.')
attach(bar_line, score['RH Voice'][-1])
bar_line = indicatortools.BarLine('|.')
attach(bar_line, score['LH Voice'][-1])
# remove the old, default piano instrument attached to the piano staff
# and attach a custom instrument mark
detach(instrumenttools.Instrument, score['Piano Staff'])
klavier = instrumenttools.Piano(
instrument_name='Katzenklavier',
short_instrument_name='kk.',
)
attach(klavier, score['Piano Staff'])
return score
def __call__(self):
'''Calls score template.
Returns LilyPond file.
'''
# make bell voice and staff
bell_voice = scoretools.Voice(name='Bell Voice')
bell_staff = scoretools.Staff([bell_voice], name='Bell Staff')
clef = indicatortools.Clef('treble')
attach(clef, bell_staff)
bells = instrumenttools.Instrument(
instrument_name='Campana in La',
short_instrument_name='Camp.',
pitch_range='[C4, C6]',
)
attach(bells, bell_staff)
tempo = indicatortools.Tempo((1, 4), (112, 120))
attach(tempo, bell_staff)
time_signature = indicatortools.TimeSignature((6, 4))
attach(time_signature, bell_staff)
# make first violin voice and staff
first_violin_voice = scoretools.Voice(name='First Violin Voice')
first_violin_staff = scoretools.Staff(
[first_violin_voice],
name='First Violin Staff',
)
clef = indicatortools.Clef('treble')
attach(clef, first_violin_staff)
violin = instrumenttools.Violin(
instrument_name_markup=markuptools.Markup('Violin I'),
short_instrument_name_markup=markuptools.Markup('Vl. I'),
)
attach(violin, first_violin_staff)
# make second violin voice and staff
second_violin_voice = scoretools.Voice(name='Second Violin Voice')
second_violin_staff = scoretools.Staff(
[second_violin_voice],
name='Second Violin Staff',
)
clef = indicatortools.Clef('treble')
attach(clef, second_violin_staff)
violin = instrumenttools.Violin(
instrument_name_markup=markuptools.Markup('Violin II'),
short_instrument_name_markup=markuptools.Markup('Vl. II'),
)
attach(violin, second_violin_staff)
# make viola voice and staff
viola_voice = scoretools.Voice(name='Viola Voice')
viola_staff = scoretools.Staff([viola_voice], name='Viola Staff')
clef = indicatortools.Clef('alto')
attach(clef, viola_staff)
viola = instrumenttools.Viola()
attach(viola, viola_staff)
# make cello voice and staff
cello_voice = scoretools.Voice(name='Cello Voice')
cello_staff = scoretools.Staff([cello_voice], name='Cello Staff')
clef = indicatortools.Clef('bass')
attach(clef, cello_staff)
cello = instrumenttools.Cello()
attach(cello, cello_staff)
# make bass voice and staff
bass_voice = scoretools.Voice(name='Bass Voice')
bass_staff = scoretools.Staff([bass_voice], name='Bass Staff')
clef = indicatortools.Clef('bass')
attach(clef, bass_staff)
contrabass = instrumenttools.Contrabass(
short_instrument_name_markup=markuptools.Markup('Cb.'), )
attach(contrabass, bass_staff)
# make strings staff group
strings_staff_group = scoretools.StaffGroup(
[
first_violin_staff,
second_violin_staff,
viola_staff,
cello_staff,
bass_staff,
],
name='Strings Staff Group',
)
# make score
score = scoretools.Score([
bell_staff,
strings_staff_group,
],
name='Pärt Cantus Score')
# return Pärt Cantus score
return score