NumberedInversionEquivalentIntervalClass

class pitchtools.NumberedInversionEquivalentIntervalClass(number=0)

Numbered inversion-equivalent interval-class.

>>> import abjad

Initializes from integer:

>>> abjad.NumberedInversionEquivalentIntervalClass(0)
NumberedInversionEquivalentIntervalClass(0)
>>> abjad.NumberedInversionEquivalentIntervalClass(1)
NumberedInversionEquivalentIntervalClass(1)

Initializes from float:

>>> abjad.NumberedInversionEquivalentIntervalClass(1.5)
NumberedInversionEquivalentIntervalClass(1.5)

Initializes from string:

>>> abjad.NumberedInversionEquivalentIntervalClass('1')
NumberedInversionEquivalentIntervalClass(1)

Lineage

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Attribute summary

direction_number Gets direction number of numbered interval-class.
direction_symbol Gets direction symbol of numbered interval-class.
direction_word Gets direction word of numbered interval-class.
from_pitch_carriers(pitch_carrier_1, …) Makes numbered interval-class from pitch_carrier_1 and pitch_carrier_2.
number Gets number of interval-class.
__abs__() Gets absolute value of numbered inversion-equivalent interval-class.
__copy__(*arguments) Copies Abjad value object.
__eq__(argument) Is true when argument is a numbered interval-class with number equal to that of this numbered interval-class.
__format__([format_specification]) Formats Abjad object.
__ge__(other[, NotImplemented]) Return a >= b.
__gt__(other[, NotImplemented]) Return a > b.
__hash__() Hashes numbered interval-class.
__le__(other[, NotImplemented]) Return a <= b.
__lt__(argument) Is true when argument is a numbered inversion-equivalent interval-class with a number less than this numbered inversion-equivalent interval-class.
__ne__(argument) Is true when Abjad object does not equal argument.
__neg__() Negates numbered inversion-equivalent interval-class.
__repr__() Gets interpreter representation of Abjad object.
__str__() Gets string representation of numbered inversion-equivalent interval-class.

Read-only properties

(NumberedIntervalClass).direction_number

Gets direction number of numbered interval-class.

Returns -1, 0 or 1.

(NumberedIntervalClass).direction_symbol

Gets direction symbol of numbered interval-class.

Returns string.

(NumberedIntervalClass).direction_word

Gets direction word of numbered interval-class.

Returns string.

(IntervalClass).number

Gets number of interval-class.

Returns number.

Class & static methods

(NumberedIntervalClass).from_pitch_carriers(pitch_carrier_1, pitch_carrier_2)

Makes numbered interval-class from pitch_carrier_1 and pitch_carrier_2.

>>> abjad.NumberedIntervalClass.from_pitch_carriers(
...     abjad.NamedPitch(-2),
...     abjad.NamedPitch(12),
...     )
NumberedIntervalClass(2)
>>> abjad.NumberedIntervalClass.from_pitch_carriers(
...     abjad.NamedPitch(0),
...     abjad.NamedPitch(12),
...     )
NumberedIntervalClass(12)
>>> abjad.NumberedIntervalClass.from_pitch_carriers(
...     abjad.NamedPitch(9),
...     abjad.NamedPitch(12),
...     )
NumberedIntervalClass(3)
>>> abjad.NumberedIntervalClass.from_pitch_carriers(
...     abjad.NamedPitch(12),
...     abjad.NamedPitch(9),
...     )
NumberedIntervalClass(-3)
>>> abjad.NumberedIntervalClass.from_pitch_carriers(
...     abjad.NamedPitch(12),
...     abjad.NamedPitch(12),
...     )
NumberedIntervalClass(0)
>>> abjad.NumberedIntervalClass.from_pitch_carriers(
...     abjad.NamedPitch(12),
...     abjad.NamedPitch(-2),
...     )
NumberedIntervalClass(-2)

Returns numbered interval-class.

Special methods

NumberedInversionEquivalentIntervalClass.__abs__()

Gets absolute value of numbered inversion-equivalent interval-class.

>>> abs(abjad.NumberedInversionEquivalentIntervalClass(0))
NumberedInversionEquivalentIntervalClass(0)
>>> abs(abjad.NumberedInversionEquivalentIntervalClass(1.5))
NumberedInversionEquivalentIntervalClass(1.5)

Returns new numbered inversion-equivalent interval-class.

(AbjadValueObject).__copy__(*arguments)

Copies Abjad value object.

Returns new Abjad value object.

(NumberedIntervalClass).__eq__(argument)

Is true when argument is a numbered interval-class with number equal to that of this numbered interval-class. Otherwise false.

>>> interval_class_1 = abjad.NumberedIntervalClass(0)
>>> interval_class_2 = abjad.NumberedIntervalClass(0)
>>> interval_class_3 = abjad.NumberedIntervalClass(1)
>>> interval_class_1 == interval_class_1
True
>>> interval_class_1 == interval_class_2
True
>>> interval_class_1 == interval_class_3
False
>>> interval_class_2 == interval_class_1
True
>>> interval_class_2 == interval_class_2
True
>>> interval_class_2 == interval_class_3
False
>>> interval_class_3 == interval_class_1
False
>>> interval_class_3 == interval_class_2
False
>>> interval_class_3 == interval_class_3
True

Returns true or false.

(AbjadObject).__format__(format_specification='')

Formats Abjad object.

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

Returns string.

(IntervalClass).__ge__(other, NotImplemented=NotImplemented)

Return a >= b. Computed by @total_ordering from (not a < b).

(IntervalClass).__gt__(other, NotImplemented=NotImplemented)

Return a > b. Computed by @total_ordering from (not a < b) and (a != b).

(NumberedIntervalClass).__hash__()

Hashes numbered interval-class.

Returns integer.

(IntervalClass).__le__(other, NotImplemented=NotImplemented)

Return a <= b. Computed by @total_ordering from (a < b) or (a == b).

NumberedInversionEquivalentIntervalClass.__lt__(argument)

Is true when argument is a numbered inversion-equivalent interval-class with a number less than this numbered inversion-equivalent interval-class.

(AbjadObject).__ne__(argument)

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

Returns true or false.

NumberedInversionEquivalentIntervalClass.__neg__()

Negates numbered inversion-equivalent interval-class.

>>> -abjad.NumberedInversionEquivalentIntervalClass(0)
NumberedInversionEquivalentIntervalClass(0)
>>> -abjad.NumberedInversionEquivalentIntervalClass(1.5)
NumberedInversionEquivalentIntervalClass(1.5)

Returns new numbered inversion-equivalent interval-class.

(AbjadObject).__repr__()

Gets interpreter representation of Abjad object.

Returns string.

NumberedInversionEquivalentIntervalClass.__str__()

Gets string representation of numbered inversion-equivalent interval-class.

>>> str(abjad.NumberedInversionEquivalentIntervalClass(0))
'0'
>>> str(abjad.NumberedInversionEquivalentIntervalClass(1.5))
'1.5'

Returns string.