def named_interval_class(self):
r'''Named interval class of named interval.
::
>>> interval.named_interval_class
NamedInversionEquivalentIntervalClass('+M2')
Returns named inversion-equivalent interval-class.
'''
from abjad.tools import pitchtools
quality_string, number = self._quality_string, self.number
return pitchtools.NamedInversionEquivalentIntervalClass(
quality_string, number)
def __sub__(self, arg):
r'''Subtracts `arg` from named pitch-class.
::
>>> pitch_class - pitchtools.NamedPitchClass('g')
NamedInversionEquivalentIntervalClass('+aug4')
Returns named inversion-equivalent interval-class.
'''
if not isinstance(arg, type(self)):
message = 'must be named pitch-class: {!r}.'
message = message.format(arg)
raise TypeError(message)
from abjad.tools import pitchtools
pitch_1 = pitchtools.NamedPitch(self, 4)
pitch_2 = pitchtools.NamedPitch(arg, 4)
mdi = pitchtools.NamedInterval.from_pitch_carriers(pitch_1, pitch_2)
dic = pitchtools.NamedInversionEquivalentIntervalClass(
mdi.quality_string, mdi.number)
return dic
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 inventory_named_inversion_equivalent_interval_classes():
'''Inventories named inversion-equivalent interval-classes.
::
>>> for dic in pitchtools.inventory_named_inversion_equivalent_interval_classes():
... dic
...
NamedInversionEquivalentIntervalClass('P1')
NamedInversionEquivalentIntervalClass('aug1')
NamedInversionEquivalentIntervalClass('+m2')
NamedInversionEquivalentIntervalClass('+M2')
NamedInversionEquivalentIntervalClass('+aug2')
NamedInversionEquivalentIntervalClass('+dim3')
NamedInversionEquivalentIntervalClass('+m3')
NamedInversionEquivalentIntervalClass('+M3')
NamedInversionEquivalentIntervalClass('+dim4')
NamedInversionEquivalentIntervalClass('+P4')
NamedInversionEquivalentIntervalClass('+aug4')
There are 11 named inversion-equivalent interval-classes.
It is an open question as to whether octaves should be included.
Returns list of named inversion-equivalent interval-classes.
'''
from abjad.tools import pitchtools
return [
pitchtools.NamedInversionEquivalentIntervalClass('perfect', 1),
pitchtools.NamedInversionEquivalentIntervalClass('augmented', 1),
pitchtools.NamedInversionEquivalentIntervalClass('minor', 2),
pitchtools.NamedInversionEquivalentIntervalClass('major', 2),
pitchtools.NamedInversionEquivalentIntervalClass('augmented', 2),
pitchtools.NamedInversionEquivalentIntervalClass('diminished', 3),
pitchtools.NamedInversionEquivalentIntervalClass('minor', 3),
pitchtools.NamedInversionEquivalentIntervalClass('major', 3),
pitchtools.NamedInversionEquivalentIntervalClass('diminished', 4),
pitchtools.NamedInversionEquivalentIntervalClass('perfect', 4),
pitchtools.NamedInversionEquivalentIntervalClass('augmented', 4),
]