Inversion

class pitchtools.Inversion(axis=None)

Inversion operator.

Example 1.

>>> operator_ = pitchtools.Inversion()
>>> print(format(operator_))
pitchtools.Inversion()

Object model of the twelve-tone inversion operator.

Lineage

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Bases

Attribute summary

axis Gets axis of inversion.
__call__(expr) Calls inversion on expr.
__copy__(\*args) Copies Abjad value object.
__eq__(expr) Is true when all initialization values of Abjad value object equal the initialization values of expr.
__format__([format_specification]) Formats Abjad object.
__hash__() Hashes Abjad value object.
__ne__(expr) Is true when Abjad object does not equal expr.
__repr__() Gets interpreter representation of Abjad object.

Read-only properties

Inversion.axis

Gets axis of inversion.

Returns named pitch or none.

Special methods

Inversion.__call__(expr)

Calls inversion on expr.

Example 1. Inverts numbered pitch-class:

>>> operator_ = pitchtools.Inversion()
>>> expr = pitchtools.NumberedPitchClass(1)
>>> operator_(expr)
NumberedPitchClass(11)

Example 2. Inverts numbered pitch:

>>> operator_ = pitchtools.Inversion()
>>> expr = pitchtools.NumberedPitch(15)
>>> operator_(expr)
NumberedPitch(-15)

Example 3. Inverts named pitch:

>>> operator_ = pitchtools.Inversion()
>>> expr = pitchtools.NamedPitch("d'")
>>> operator_(expr)
NamedPitch('bf')

Example 4. Inverts named pitch class:

>>> operator_ = pitchtools.Inversion()
>>> expr = pitchtools.NamedPitchClass('d')
>>> operator_(expr)
NamedPitchClass('bf')

Example 5. Inverts pitch segment:

>>> operator_ = pitchtools.Inversion()
>>> expr = pitchtools.PitchSegment("c' d' e'")
>>> operator_(expr)
PitchSegment(["c'", 'bf', 'af'])

Example 6. Inverts pitch class segment:

>>> operator_ = pitchtools.Inversion()
>>> expr = pitchtools.PitchClassSegment("c d e")
>>> operator_(expr)
PitchClassSegment(['c', 'bf', 'af'])

Example 7. Inverts pitch class set:

>>> operator_ = pitchtools.Inversion()
>>> expr = pitchtools.PitchClassSet("c d e")
>>> operator_(expr)
PitchClassSet(['c', 'af', 'bf'])

Returns new object with type equal to that of expr.

(AbjadValueObject).__copy__(*args)

Copies Abjad value object.

Returns new Abjad value object.

(AbjadValueObject).__eq__(expr)

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

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__(expr)

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

Returns true or false.

(AbjadObject).__repr__()

Gets interpreter representation of Abjad object.

Returns string.