Inversion

class pitchtools.Inversion(axis=None)

Inversion operator.

>>> Inversion()
Inversion()
>>> Inversion(axis=15)
Inversion(axis=NamedPitch("ef''"))

Object model of twelve-tone inversion operator.

Lineage

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Bases

Attribute summary

axis Gets axis of inversion.
__add__(operator) Composes inversion and operator.
__call__(argument) Calls inversion on argument.
__copy__(*arguments) Copies Abjad value object.
__eq__(argument) Is true when all initialization values of Abjad value object equal the initialization values of argument.
__format__([format_specification]) Formats Abjad object.
__hash__() Hashes Abjad value object.
__ne__(argument) Is true when Abjad object does not equal argument.
__repr__() Gets interpreter representation of Abjad object.
__str__() Gets string representation of operator.

Read-only properties

Inversion.axis

Gets axis of inversion.

>>> inversion = Inversion()
>>> inversion.axis is None
True
>>> inversion = Inversion(axis=15)
>>> inversion.axis
NamedPitch("ef''")

Returns named pitch or none.

Special methods

Inversion.__add__(operator)

Composes inversion and operator.

Example segment:

>>> items = [0, 2, 4, 5]
>>> segment = PitchClassSegment(items=items)
>>> show(segment) 

Example operators:

>>> inversion = Inversion()
>>> transposition = Transposition(n=3)

Transposition followed by inversion:

>>> operator = inversion + transposition
>>> str(operator)
'IT3'
>>> segment_ = operator(segment)
>>> show(segment_) 

Inversion followed by transposition:

>>> operator = transposition + inversion
>>> str(operator)
'T3I'
>>> segment_ = operator(segment)
>>> show(segment_) 

Returns compound operator:

>>> f(operator)
pitchtools.CompoundOperator(
    operators=[
        pitchtools.Inversion(),
        pitchtools.Transposition(
            n=3,
            ),
        ],
    )
Inversion.__call__(argument)

Calls inversion on argument.

Inverts numbered pitch-class:

>>> inversion = Inversion()
>>> pitch_class = NumberedPitchClass(1)
>>> inversion(pitch_class)
NumberedPitchClass(11)

Inverts numbered pitch:

>>> inversion = Inversion()
>>> pitch = NumberedPitch(15)
>>> inversion(pitch)
NumberedPitch(-15)

Inverts named pitch:

>>> inversion = Inversion()
>>> pitch = NamedPitch("d'")
>>> inversion(pitch)
NamedPitch('bf')

Inverts named pitch class:

>>> inversion = Inversion()
>>> pitch_class = NamedPitchClass('d')
>>> inversion(pitch_class)
NamedPitchClass('bf')

Inverts pitch segment:

>>> inversion = Inversion()
>>> segment = PitchSegment("c' d' e'")
>>> inversion(segment)
PitchSegment("c' bf af")

Inverts pitch class segment:

>>> inversion = Inversion()
>>> segment = PitchClassSegment("c d e")
>>> inversion(segment)
PitchClassSegment("c bf af")

Inverts pitch class set:

>>> inversion = Inversion()
>>> set_ = PitchClassSet("c d e")
>>> inversion(set_)
PitchClassSet(['c', 'af', 'bf'])

Returns new object with type equal to that of argument.

(AbjadValueObject).__copy__(*arguments)

Copies Abjad value object.

Returns new Abjad value object.

(AbjadValueObject).__eq__(argument)

Is true when all initialization values of Abjad value object equal the initialization values of argument.

Returns true or false.

(AbjadObject).__format__(format_specification='')

Formats Abjad object.

Set format_specification to ‘’ or ‘storage’. Interprets ‘’ equal to ‘storage’.

Returns string.

(AbjadValueObject).__hash__()

Hashes Abjad value object.

Returns integer.

(AbjadObject).__ne__(argument)

Is true when Abjad object does not equal argument. Otherwise false.

Returns true or false.

(AbjadObject).__repr__()

Gets interpreter representation of Abjad object.

Returns string.

Inversion.__str__()

Gets string representation of operator.

>>> str(Inversion())
'I'
>>> str(Inversion(axis=15))
'I(Eb5)'