.. _moduleScale:

music21.scale
=============

.. WARNING: DO NOT EDIT THIS FILE: AUTOMATICALLY GENERATED. Edit the .py file directly

.. module:: music21.scale


The various Scale objects provide a bi-directional object representation
of octave repeating and non-octave repeating scales built by network of
:class:`~music21.interval.Interval` objects as modeled in
:class:`~music21.intervalNetwork.BoundIntervalNetwork`.


The main public interface to these resources are subclasses of
:class:`~music21.scale.ConcreteScale`, such as
:class:`~music21.scale.MajorScale`, :class:`~music21.scale.MinorScale`,
and :class:`~music21.scale.MelodicMinorScale`.


More unusual scales are also available, such as
:class:`~music21.scale.OctatonicScale`,
:class:`~music21.scale.SieveScale`, and :class:`~music21.scale.RagMarwa`.


All :class:`~music21.scale.ConcreteScale` subclasses provide the ability
to get a pitches across any range, get a pitch for scale step, get a
scale step for pitch, and, for any given pitch ascend or descend to the
next pitch. In all cases :class:`~music21.pitch.Pitch` objects are returned.




>>> from music21 import *
>>> sc1 = scale.MajorScale('a')
>>> sc1.getPitches('g2', 'g4')
[G#2, A2, B2, C#3, D3, E3, F#3, G#3, A3, B3, C#4, D4, E4, F#4]




>>> sc2 = scale.MelodicMinorScale('a')
>>> sc2.getPitches('g2', 'g4', direction='descending')
[G4, F4, E4, D4, C4, B3, A3, G3, F3, E3, D3, C3, B2, A2, G2]
>>> sc2.getPitches('g2', 'g4', direction='ascending')
[G#2, A2, B2, C3, D3, E3, F#3, G#3, A3, B3, C4, D4, E4, F#4]




>>> # a sieve-based scale using Xenakis's representation of the Major scale
>>> sc3 = scale.SieveScale('a', '(-3@2 & 4) | (-3@1 & 4@1) | (3@2 & 4@2) | (-3 & 4@3)')
>>> sc3.getPitches('g2', 'g4')
[G#2, A2, B2, C#3, D3, E3, F#3, G#3, A3, B3, C#4, D4, E4, F#4]







ConcreteScale
-------------

Inherits from: :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: ConcreteScale(tonic=None, pitches=None)


    A concrete scale is specific scale formation with
    a defined pitch collection (a `tonic` Pitch) that
    may or may not be bound by specific range. For
    example, a specific Major Scale, such as G
    Major, from G2 to G4.

    This class is can either be used directly or more
    commonly as a base class for all concrete scales.

    Here we treat a diminished triad as a scale:




    >>> from music21 import *
    >>> myscale = scale.ConcreteScale(pitches = ["C4", "E-4", "G-4", "A4"])
    >>> myscale.getTonic()
    C4
    >>> myscale.next("G-2")
    A2
    >>> myscale.getPitches("E-5","G-7")
    [E-5, G-5, A5, C6, E-6, G-6, A6, C7, E-7, G-7]


    A scale that lasts two octaves and uses quarter tones (D~)




    >>> from music21 import *
    >>> complexscale = scale.ConcreteScale(pitches = ["C#3", "E-3", "F3", "G3", "B3", "D~4", "F#4", "A4", "C#5"])
    >>> complexscale.getTonic()
    C#3
    >>> complexscale.next("G3", direction=scale.DIRECTION_DESCENDING)
    F3
    >>> complexscale.getPitches("C3","C7")
    [C#3, E-3, F3, G3, B3, D~4, F#4, A4, C#5, E-5, F5, G5, B5, D~6, F#6, A6]
    >>> complexscale.getPitches("C7","C5")
    [A6, F#6, D~6, B5, G5, F5, E-5, C#5]






    **ConcreteScale** **attributes**

        Attributes without Documentation: `tonic`, `boundRange`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **ConcreteScale** **properties**

        .. attribute:: abstract

            Return the AbstractScale instance governing this ConcreteScale.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale('d')
            >>> sc2 = scale.MajorScale('b-')
            >>> sc1 == sc2
            False
            >>> sc1.abstract == sc2.abstract
            True



        .. attribute:: chord

            Return a Chord object from this harmony over a default range.
            Use the `getChord()` method if you need greater control over the
            parameters of the chord.



        .. attribute:: isConcrete

            Return True if the scale is Concrete, that is, it has a defined Tonic.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale('c')
            >>> sc1.isConcrete
            True
            >>> sc2 = scale.MajorScale()
            >>> sc2.isConcrete
            False




        .. attribute:: musicxml

            Return a complete musicxml representation.



        .. attribute:: name

            Return or construct the name of this scale.



            >>> from music21 import *
            >>> sc = scale.DiatonicScale() # abstract, as no defined tonic
            >>> sc.name
            'Abstract Diatonic'



        .. attribute:: pitches

            Get a default pitch list from this scale.



        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **ConcreteScale** **methods**

        .. method:: derive(other, comparisonAttribute='pitchClass')

            Return the closest-matching :class:`~music21.scale.ConcreteScale` based on the pitch collection provided as a :class:`~music21.stream.Stream`, a :class:`~music21.scale.ConcreteScale`, or a list of :class:`~music21.pitch.Pitch` objects.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale()
            >>> sc1.derive(['c#', 'e', 'g#'])
            <music21.scale.MajorScale B major>
            >>> sc1.derive(['e-', 'b-', 'd'], comparisonAttribute='name')
            <music21.scale.MajorScale B- major>



        .. method:: deriveByDegree(degree, pitch)

            Given a scale degree and a pitch, return a new :class:`~music21.scale.ConcreteScale` that satisfies that condition.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale()
            >>> sc1.deriveByDegree(7, 'c') # what scale has c as its 7th degree
            <music21.scale.MajorScale D- major>




        .. method:: deriveRanked(other, resultsReturned=4, comparisonAttribute='pitchClass')

            Return a list of closest-matching :class:`~music21.scale.ConcreteScale` objects based on this :class:`~music21.scale.AbstractScale`, provided as a :class:`~music21.stream.Stream`, a :class:`~music21.scale.ConcreteScale`, or a list of :class:`~music21.pitch.Pitch` objects. Returned integer values represent the number of mathces.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale()
            >>> sc1.deriveRanked(['c', 'e', 'b'])
            [(3, <music21.scale.MajorScale G major>), (3, <music21.scale.MajorScale C major>), (2, <music21.scale.MajorScale B major>), (2, <music21.scale.MajorScale A major>)]
            ⁠ 
            >>> sc1.deriveRanked(['c', 'e', 'e', 'e', 'b'])
            [(5, <music21.scale.MajorScale G major>), (5, <music21.scale.MajorScale C major>), (4, <music21.scale.MajorScale B major>), (4, <music21.scale.MajorScale A major>)]



            >>> sc1.deriveRanked(['c#', 'e', 'g#'])
            [(3, <music21.scale.MajorScale B major>), (3, <music21.scale.MajorScale A major>), (3, <music21.scale.MajorScale E major>), (3, <music21.scale.MajorScale C- major>)]





        .. method:: findMissing(other, comparisonAttribute='pitchClass', minPitch=None, maxPitch=None, direction='ascending', alteredDegrees={})

            Given another object of various forms (e.g., a :class:`~music21.stream.Stream`, a :class:`~music21.scale.ConcreteScale`, a list of :class:`~music21.pitch.Pitch` objects), return a list of pitches that are found in this Scale but are not found in the provided object.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale('g4')
            >>> sc1.findMissing(['d'])
            [G4, A4, B4, C5, E5, F#5, G5]



        .. method:: getChord(minPitch=None, maxPitch=None, direction='ascending', **keywords)


            Return a realized chord containing all the
            pitches in this scale within a particular
            inclusive range defined by two pitches.

            All keyword arguments are passed on to the
            Chord, permitting specification of
            `quarterLength` and similar parameters.



        .. method:: getDegreeMaxUnique()

            Convenience routine to get this from the AbstractScale.



        .. method:: getPitches(minPitch=None, maxPitch=None, direction=None)


            Return a list of Pitch objects, using a
            deepcopy of a cached version if available.




        .. method:: getScalaStorage()

            Return a configured scale scale object



        .. method:: getScaleDegreeAndAccidentalFromPitch(pitchTarget, direction='ascending', comparisonAttribute='name')


            Given a scale (or :class:`~music21.key.Key` object) and a pitch, return a two-element
            tuple of the degree of the scale and an accidental (or None) needed to get this
            pitch.



            >>> from music21 import *
            >>> cmaj = key.Key('C')
            >>> cmaj.getScaleDegreeAndAccidentalFromPitch(pitch.Pitch('E'))
            (3, None)
            >>> cmaj.getScaleDegreeAndAccidentalFromPitch(pitch.Pitch('E-'))
            (3, <accidental flat>)


            The Direction of a melodic minor scale is significant



            >>> amin = scale.MelodicMinorScale('a')
            >>> amin.getScaleDegreeAndAccidentalFromPitch(pitch.Pitch('G'), direction=scale.DIRECTION_DESCENDING)
            (7, None)
            >>> amin.getScaleDegreeAndAccidentalFromPitch(pitch.Pitch('G'), direction=scale.DIRECTION_ASCENDING)
            (7, <accidental flat>)
            >>> amin.getScaleDegreeAndAccidentalFromPitch(pitch.Pitch('G-'), direction=scale.DIRECTION_ASCENDING)
            (7, <accidental double-flat>)

            Returns (None, None) if for some reason this scale does not have this step (a whole-tone scale,
            for instance)



        .. method:: getScaleDegreeFromPitch(pitchTarget, direction='ascending', comparisonAttribute='name')


            For a given pitch, return the appropriate scale degree.
            If no scale degree is available, None is returned.


            Note -- by default it will find based on note name not on
            PitchClass because this is used so commonly by tonal functions.
            So if it's important that D# and E- are the same, set the
            comparisonAttribute to `pitchClass`




            >>> from music21 import *
            >>> sc = scale.MajorScale('e-')
            >>> sc.getScaleDegreeFromPitch('e-2')
            1
            >>> sc.getScaleDegreeFromPitch('d')
            7
            >>> sc.getScaleDegreeFromPitch('d#', comparisonAttribute='name') == None
            True
            >>> sc.getScaleDegreeFromPitch('d#', comparisonAttribute='pitchClass')
            1
            >>> sc.getScaleDegreeFromPitch('e') == None
            True
            >>> sc.getScaleDegreeFromPitch('e', comparisonAttribute='step')
            1





            >>> sc = scale.HarmonicMinorScale('a')
            >>> sc.getScaleDegreeFromPitch('c')
            3
            >>> sc.getScaleDegreeFromPitch('g#')
            7
            >>> sc.getScaleDegreeFromPitch('g')



        .. method:: getTonic()

            Return the tonic.



            >>> from music21 import *
            >>> sc = scale.ConcreteScale(tonic = 'e-4')
            >>> sc.getTonic()
            E-4



        .. method:: intervalBetweenDegrees(degreeStart, degreeEnd, direction='ascending', equateTermini=True)


            Given two degrees, provide the interval as an interval.Interval object.




            >>> from music21 import *
            >>> sc = scale.MajorScale('e-')
            >>> sc.intervalBetweenDegrees(3, 7)
            <music21.interval.Interval P5>




        .. method:: isNext(other, pitchOrigin, direction='ascending', stepSize=1, getNeighbor=True, comparisonAttribute='name')

            Given another pitch, as well as an origin and a direction, determine if this other pitch is in the next in the scale.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale('g')
            >>> sc1.isNext('d4', 'c4', 'ascending')
            True



        .. method:: match(other, comparisonAttribute='pitchClass')

            Given another object of various forms (e.g., a :class:`~music21.stream.Stream`, a :class:`~music21.scale.ConcreteScale`, a list of :class:`~music21.pitch.Pitch` objects), return a named dictionary of pitch lists with keys 'matched' and 'notMatched'.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale('g')
            >>> sc2 = scale.MajorScale('d')
            >>> sc3 = scale.MajorScale('a')
            >>> sc4 = scale.MajorScale('e')
            >>> sc1.match(sc2)
            {'notMatched': [C#5], 'matched': [D4, E4, F#4, G4, A4, B4, D5]}
            >>> sc2.match(sc3)
            {'notMatched': [G#5], 'matched': [A4, B4, C#5, D5, E5, F#5, A5]}
            ⁠ 
            >>> sc1.match(sc4)
            {'notMatched': [G#4, C#5, D#5], 'matched': [E4, F#4, A4, B4, E5]}




        .. method:: next(pitchOrigin=None, direction='ascending', stepSize=1, getNeighbor=True)


            Get the next pitch above (or if direction is 'descending', below)
            a `pitchOrigin` or None. If the `pitchOrigin` is None, the tonic pitch is
            returned. This is useful when starting a chain of iterative calls.


            The `direction` attribute may be either ascending or descending.
            Default is `ascending`. Optionally, positive or negative integers
            may be provided as directional stepSize scalars.


            An optional `stepSize` argument can be used to set the number
            of scale steps that are stepped through.  Thus, .next(stepSize=2)
            will give not the next pitch in the scale, but the next after this one.


            The `getNeighbor` will return a pitch from the scale
            if `pitchOrigin` is not in the scale. This value can be
            True, 'ascending', or 'descending'.




            >>> from music21 import *
            >>> sc = scale.MajorScale('e-')
            >>> sc.next('e-5')
            F5
            >>> sc.next('e-5', stepSize=2)
            G5
            >>> sc.next('e-6', stepSize=3)
            A-6


            This uses the getNeighbor attribute to
            find the next note above f#5 in the E-flat
            major scale:




            >>> sc.next('f#5')
            G5




            >>> from music21 import *
            >>> sc = scale.HarmonicMinorScale('g')
            >>> sc.next('g4', 'descending')
            F#4
            >>> sc.next('F#4', 'descending')
            E-4
            >>> sc.next('E-4', 'descending')
            D4
            >>> sc.next('E-4', 'ascending', 1)
            F#4
            >>> sc.next('E-4', 'ascending', 2)
            G4



        .. method:: pitchFromDegree(degree, minPitch=None, maxPitch=None, direction='ascending', equateTermini=True)


            Given a scale degree, return a deepcopy of the appropriate pitch.



            >>> from music21 import *
            >>> sc = scale.MajorScale('e-')
            >>> sc.pitchFromDegree(2)
            F4
            >>> sc.pitchFromDegree(7)
            D5



        .. method:: pitchesFromScaleDegrees(degreeTargets, minPitch=None, maxPitch=None, direction='ascending')


            Given one or more scale degrees, return a list
            of all matches over the entire range.




            >>> from music21 import *
            >>> sc = scale.MajorScale('e-')
            >>> sc.pitchesFromScaleDegrees([3,7])
            [G4, D5]
            >>> sc.pitchesFromScaleDegrees([3,7], 'c2', 'c6')
            [D2, G2, D3, G3, D4, G4, D5, G5]
            ⁠ 
            >>> sc = scale.HarmonicMinorScale('a')
            >>> sc.pitchesFromScaleDegrees([3,7], 'c2', 'c6')
            [C2, G#2, C3, G#3, C4, G#4, C5, G#5, C6]



        .. method:: romanNumeral(degree)

            Return a RomanNumeral object built on the specified scale degree.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale('a-4')
            ⁠ 
            >>> h1 = sc1.romanNumeral(1)
            >>> h1.root()
            A-4
            >>> h5 = sc1.romanNumeral(5)
            >>> h5.root()
            E-5
            >>> h5
            <music21.roman.RomanNumeral V in A- major>



        .. method:: show(fmt=None, app=None, direction='ascending')

            Show the scale in a format. Here, prepare scala format if requested.



        .. method:: solfeg(pitchTarget=None, direction='ascending', variant='music21', chromatic=True)


            Returns the chromatic solfege (or diatonic if chromatic is False) for a given pitch in a given
            scale.

            The `variant` method lets one specify either the default `music21` or `humdrum` solfeg representation
            for altered notes.




            >>> from music21 import *
            >>> eflatMaj = key.Key('E-')
            >>> eflatMaj.solfeg(pitch.Pitch('G'))
            'mi'
            >>> eflatMaj.solfeg(pitch.Pitch('A'))
            'fi'
            >>> eflatMaj.solfeg(pitch.Pitch('A'), chromatic=False)
            'fa'
            >>> eflatMaj.solfeg(pitch.Pitch('G#'), variant='music21') #default
            'mis'
            >>> eflatMaj.solfeg(pitch.Pitch('G#'), variant='humdrum')
            'my'



        .. method:: transpose(value, inPlace=False)


            Transpose this Scale by the given interval

            note: it does not makes sense to transpose an abstract scale;
            thus, only concrete scales can be transposed.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale('C')
            >>> sc2 = sc1.transpose('p5')
            >>> sc2
            <music21.scale.MajorScale G major>
            >>> sc3 = sc2.transpose('p5')
            >>> sc3
            <music21.scale.MajorScale D major>



        .. method:: tune(streamObj, minPitch=None, maxPitch=None, direction=None)


            Given a Stream object containing Pitches, match all pitch names
            and or pitch space values and replace the target pitch with
            copies of pitches stored in this scale.


            This is always applied recursively to all sub-Streams.



        .. method:: write(fmt=None, fp=None, direction='ascending')

            Write the scale in a format. Here, prepare scala format if requested.



        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


AbstractScale
-------------

Inherits from: :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractScale()


    An abstract scale is specific scale formation, but does not have a
    defined pitch collection or pitch reference. For example, all Major
    scales can be represented by an AbstractScale; a ConcreteScale,
    however, is a specific Major Scale, such as G Major.

    These classes provide an interface to, and create and manipulate,
    the stored :class:`~music21.intervalNetwork.BoundIntervalNetwork`
    object. Thus, they are rarely created or manipulated directly by
    most users.

    The AbstractScale additionally stores an `_alteredDegrees` dictionary.
    Subclasses can define altered nodes in AbstractScale that are passed
    to the :class:`~music21.intervalNetwork.BoundIntervalNetwork`.




    **AbstractScale** **attributes**

        Attributes without Documentation: `octaveDuplicating`, `deterministic`, `tonicDegree`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **AbstractScale** **properties**

        .. attribute:: networkxGraph


            Return a networks Graph object representing a realized version of this :class:`~music21.intervalNetwork.BoundIntervalNetwork`.



        Properties inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.isConcrete`, :attr:`~music21.scale.Scale.name`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **AbstractScale** **methods**

        .. method:: buildNetworkFromPitches(pitchList)


            Builds the network (list of motions) for an abstract scale from a list of pitch.Pitch objects.  If
            the concluding note (usually the "octave") is not given, then it'll be created automatically.


            Here we treat the augmented triad as a scale:




            >>> from music21 import *
            >>> p1 = pitch.Pitch("C4")
            >>> p2 = pitch.Pitch("E4")
            >>> p3 = pitch.Pitch("G#4")
            >>> absc = scale.AbstractScale()
            >>> absc.buildNetworkFromPitches([p1, p2, p3])
            >>> absc.octaveDuplicating
            True
            >>> absc._net
            <music21.intervalNetwork.BoundIntervalNetwork object at 0x...>


            Now see it return a new "scale" of the augmentedTriad on D5




            >>> absc._net.realizePitch('D5')
            [D5, F#5, A#5, D6]




        .. method:: getDegreeMaxUnique()

            Return the maximum number of scale steps, or the number to use as a
            modulus.



        .. method:: getIntervals(stepOfPitch=None, minPitch=None, maxPitch=None, direction='ascending', reverse=False)


            Realize the abstract scale as a list of pitch
            objects, given a pitch object, the step of
            that pitch object, and a min and max pitch.



        .. method:: getNewTonicPitch(pitchReference, nodeName, direction='ascending', minPitch=None, maxPitch=None)


            Define a pitch target and a node.



        .. method:: getPitchFromNodeDegree(pitchReference, nodeName, nodeDegreeTarget, direction='ascending', minPitch=None, maxPitch=None, equateTermini=True)

            Get a pitch for desired scale degree.



        .. method:: getRealization(pitchObj, stepOfPitch, minPitch=None, maxPitch=None, direction='ascending', reverse=False)


            Realize the abstract scale as a list of pitch objects,
            given a pitch object, the step of that pitch object,
            and a min and max pitch.



        .. method:: getRelativeNodeDegree(pitchReference, nodeName, pitchTarget, comparisonAttribute='pitchClass', direction='ascending')

            Expose functionality from :class:`~music21.intervalNetwork.BoundIntervalNetwork`, passing on the stored alteredDegrees dictionary.



        .. method:: getScalaStorage(direction='ascending')

            Get interval sequence



        .. method:: nextPitch(pitchReference, nodeName, pitchOrigin, direction='ascending', stepSize=1, getNeighbor=True)


            Expose functionality from :class:`~music21.intervalNetwork.BoundIntervalNetwork`,
            passing on the stored alteredDegrees dictionary.



        .. method:: plot(*args, **keywords)

            Create and display a plot.



        .. method:: realizePitchByDegree(pitchReference, nodeId, nodeDegreeTargets, direction='ascending', minPitch=None, maxPitch=None)

            Given one or more scale degrees, return a list of all matches over the entire range.



        .. method:: show(fmt=None, app=None, direction='ascending')

            Show the scale in a format. Here, prepare scala format if requested.



        .. method:: write(fmt=None, fp=None, direction='ascending')

            Write the scale in a format. Here, prepare scala format if requested.



        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.next`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


AbstractCyclicalScale
---------------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractCyclicalScale(mode=None)

    A scale of any size built with an interval list of any form. The resulting scale may be non octave repeating.




AbstractDiatonicScale
---------------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractDiatonicScale(mode=None)


    **AbstractDiatonicScale** **attributes**

        Attributes without Documentation: `relativeMajorDegree`, `relativeMinorDegree`, `dominantDegree`

        Attributes inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.octaveDuplicating`, :attr:`~music21.scale.AbstractScale.deterministic`, :attr:`~music21.scale.AbstractScale.tonicDegree`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **AbstractDiatonicScale** **properties**

        Properties inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.networkxGraph`

        Properties inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.isConcrete`, :attr:`~music21.scale.Scale.name`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **AbstractDiatonicScale** **methods**

        Methods inherited from :class:`~music21.scale.AbstractScale`: :meth:`~music21.scale.AbstractScale.buildNetworkFromPitches`, :meth:`~music21.scale.AbstractScale.getDegreeMaxUnique`, :meth:`~music21.scale.AbstractScale.getIntervals`, :meth:`~music21.scale.AbstractScale.getNewTonicPitch`, :meth:`~music21.scale.AbstractScale.getPitchFromNodeDegree`, :meth:`~music21.scale.AbstractScale.getRealization`, :meth:`~music21.scale.AbstractScale.getRelativeNodeDegree`, :meth:`~music21.scale.AbstractScale.getScalaStorage`, :meth:`~music21.scale.AbstractScale.nextPitch`, :meth:`~music21.scale.AbstractScale.plot`, :meth:`~music21.scale.AbstractScale.realizePitchByDegree`, :meth:`~music21.scale.AbstractScale.show`, :meth:`~music21.scale.AbstractScale.write`

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.next`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


AbstractHarmonicMinorScale
--------------------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractHarmonicMinorScale(mode=None)

    A true bi-directional scale that with the augmented second to a leading tone.



    **AbstractHarmonicMinorScale** **attributes**

        Attributes without Documentation: `dominantDegree`

        Attributes inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.octaveDuplicating`, :attr:`~music21.scale.AbstractScale.deterministic`, :attr:`~music21.scale.AbstractScale.tonicDegree`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **AbstractHarmonicMinorScale** **properties**

        Properties inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.networkxGraph`

        Properties inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.isConcrete`, :attr:`~music21.scale.Scale.name`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **AbstractHarmonicMinorScale** **methods**

        Methods inherited from :class:`~music21.scale.AbstractScale`: :meth:`~music21.scale.AbstractScale.buildNetworkFromPitches`, :meth:`~music21.scale.AbstractScale.getDegreeMaxUnique`, :meth:`~music21.scale.AbstractScale.getIntervals`, :meth:`~music21.scale.AbstractScale.getNewTonicPitch`, :meth:`~music21.scale.AbstractScale.getPitchFromNodeDegree`, :meth:`~music21.scale.AbstractScale.getRealization`, :meth:`~music21.scale.AbstractScale.getRelativeNodeDegree`, :meth:`~music21.scale.AbstractScale.getScalaStorage`, :meth:`~music21.scale.AbstractScale.nextPitch`, :meth:`~music21.scale.AbstractScale.plot`, :meth:`~music21.scale.AbstractScale.realizePitchByDegree`, :meth:`~music21.scale.AbstractScale.show`, :meth:`~music21.scale.AbstractScale.write`

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.next`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


AbstractMelodicMinorScale
-------------------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractMelodicMinorScale(mode=None)

    A directional scale.



    **AbstractMelodicMinorScale** **attributes**

        Attributes without Documentation: `dominantDegree`

        Attributes inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.octaveDuplicating`, :attr:`~music21.scale.AbstractScale.deterministic`, :attr:`~music21.scale.AbstractScale.tonicDegree`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **AbstractMelodicMinorScale** **properties**

        Properties inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.networkxGraph`

        Properties inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.isConcrete`, :attr:`~music21.scale.Scale.name`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **AbstractMelodicMinorScale** **methods**

        Methods inherited from :class:`~music21.scale.AbstractScale`: :meth:`~music21.scale.AbstractScale.buildNetworkFromPitches`, :meth:`~music21.scale.AbstractScale.getDegreeMaxUnique`, :meth:`~music21.scale.AbstractScale.getIntervals`, :meth:`~music21.scale.AbstractScale.getNewTonicPitch`, :meth:`~music21.scale.AbstractScale.getPitchFromNodeDegree`, :meth:`~music21.scale.AbstractScale.getRealization`, :meth:`~music21.scale.AbstractScale.getRelativeNodeDegree`, :meth:`~music21.scale.AbstractScale.getScalaStorage`, :meth:`~music21.scale.AbstractScale.nextPitch`, :meth:`~music21.scale.AbstractScale.plot`, :meth:`~music21.scale.AbstractScale.realizePitchByDegree`, :meth:`~music21.scale.AbstractScale.show`, :meth:`~music21.scale.AbstractScale.write`

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.next`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


AbstractOctatonicScale
----------------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractOctatonicScale(mode=None)

    Abstract scale representing the two octatonic scales.




AbstractOctaveRepeatingScale
----------------------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractOctaveRepeatingScale(mode=None)


    A scale of any size built with an interval list
    that assumes octave completion. An additional
    interval to complete the octave will be added
    to the provided intervals. This does not guarantee
    that the octave will be repeated in one octave,
    only the next octave above the last interval will
    be provided.




AbstractRagAsawari
------------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractRagAsawari()

    A pseudo raga-scale.



    **AbstractRagAsawari** **attributes**

        Attributes without Documentation: `dominantDegree`

        Attributes inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.octaveDuplicating`, :attr:`~music21.scale.AbstractScale.deterministic`, :attr:`~music21.scale.AbstractScale.tonicDegree`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **AbstractRagAsawari** **properties**

        Properties inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.networkxGraph`

        Properties inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.isConcrete`, :attr:`~music21.scale.Scale.name`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **AbstractRagAsawari** **methods**

        Methods inherited from :class:`~music21.scale.AbstractScale`: :meth:`~music21.scale.AbstractScale.buildNetworkFromPitches`, :meth:`~music21.scale.AbstractScale.getDegreeMaxUnique`, :meth:`~music21.scale.AbstractScale.getIntervals`, :meth:`~music21.scale.AbstractScale.getNewTonicPitch`, :meth:`~music21.scale.AbstractScale.getPitchFromNodeDegree`, :meth:`~music21.scale.AbstractScale.getRealization`, :meth:`~music21.scale.AbstractScale.getRelativeNodeDegree`, :meth:`~music21.scale.AbstractScale.getScalaStorage`, :meth:`~music21.scale.AbstractScale.nextPitch`, :meth:`~music21.scale.AbstractScale.plot`, :meth:`~music21.scale.AbstractScale.realizePitchByDegree`, :meth:`~music21.scale.AbstractScale.show`, :meth:`~music21.scale.AbstractScale.write`

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.next`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


AbstractRagMarwa
----------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractRagMarwa()

    A pseudo raga-scale.



    **AbstractRagMarwa** **attributes**

        Attributes without Documentation: `dominantDegree`

        Attributes inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.octaveDuplicating`, :attr:`~music21.scale.AbstractScale.deterministic`, :attr:`~music21.scale.AbstractScale.tonicDegree`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **AbstractRagMarwa** **properties**

        Properties inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.networkxGraph`

        Properties inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.isConcrete`, :attr:`~music21.scale.Scale.name`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **AbstractRagMarwa** **methods**

        Methods inherited from :class:`~music21.scale.AbstractScale`: :meth:`~music21.scale.AbstractScale.buildNetworkFromPitches`, :meth:`~music21.scale.AbstractScale.getDegreeMaxUnique`, :meth:`~music21.scale.AbstractScale.getIntervals`, :meth:`~music21.scale.AbstractScale.getNewTonicPitch`, :meth:`~music21.scale.AbstractScale.getPitchFromNodeDegree`, :meth:`~music21.scale.AbstractScale.getRealization`, :meth:`~music21.scale.AbstractScale.getRelativeNodeDegree`, :meth:`~music21.scale.AbstractScale.getScalaStorage`, :meth:`~music21.scale.AbstractScale.nextPitch`, :meth:`~music21.scale.AbstractScale.plot`, :meth:`~music21.scale.AbstractScale.realizePitchByDegree`, :meth:`~music21.scale.AbstractScale.show`, :meth:`~music21.scale.AbstractScale.write`

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.next`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


AbstractWeightedHexatonicBlues
------------------------------

Inherits from: :class:`~music21.scale.AbstractScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: AbstractWeightedHexatonicBlues()

    A dynamic, probabilistic mixture of minor pentatonic and a hexatonic blues scale



    **AbstractWeightedHexatonicBlues** **attributes**

        Attributes without Documentation: `dominantDegree`

        Attributes inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.octaveDuplicating`, :attr:`~music21.scale.AbstractScale.deterministic`, :attr:`~music21.scale.AbstractScale.tonicDegree`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **AbstractWeightedHexatonicBlues** **properties**

        Properties inherited from :class:`~music21.scale.AbstractScale`: :attr:`~music21.scale.AbstractScale.networkxGraph`

        Properties inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.isConcrete`, :attr:`~music21.scale.Scale.name`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **AbstractWeightedHexatonicBlues** **methods**

        Methods inherited from :class:`~music21.scale.AbstractScale`: :meth:`~music21.scale.AbstractScale.buildNetworkFromPitches`, :meth:`~music21.scale.AbstractScale.getDegreeMaxUnique`, :meth:`~music21.scale.AbstractScale.getIntervals`, :meth:`~music21.scale.AbstractScale.getNewTonicPitch`, :meth:`~music21.scale.AbstractScale.getPitchFromNodeDegree`, :meth:`~music21.scale.AbstractScale.getRealization`, :meth:`~music21.scale.AbstractScale.getRelativeNodeDegree`, :meth:`~music21.scale.AbstractScale.getScalaStorage`, :meth:`~music21.scale.AbstractScale.nextPitch`, :meth:`~music21.scale.AbstractScale.plot`, :meth:`~music21.scale.AbstractScale.realizePitchByDegree`, :meth:`~music21.scale.AbstractScale.show`, :meth:`~music21.scale.AbstractScale.write`

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.next`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


ChromaticScale
--------------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: ChromaticScale(tonic=None)

    A concrete cyclical scale, based on a cycle of half steps. These intervals do not have to be octave completing, and thus may produce scales that do no



    >>> from music21 import *
    >>> sc = scale.ChromaticScale('g2')
    >>> sc.pitches
    [G2, A-2, A2, B-2, B2, C3, C#3, D3, E-3, E3, F3, F#3, G3]
    >>> sc.getPitches('g2', 'g6')
    [G2, A-2, A2, B-2, B2, C3, C#3, D3, E-3, E3, F3, F#3, G3, A-3, A3, B-3, B3, C4, C#4, D4, E-4, E4, F4, F#4, G4, A-4, A4, B-4, B4, C5, C#5, D5, E-5, E5, F5, F#5, G5, A-5, A5, B-5, B5, C6, C#6, D6, E-6, E6, F6, F#6, G6]
    >>> sc.abstract.getDegreeMaxUnique()
    12
    >>> sc.pitchFromDegree(1)
    G2
    >>> sc.pitchFromDegree(2)
    A-2
    >>> sc.pitchFromDegree(3)
    A2
    >>> sc.pitchFromDegree(8)
    D3
    >>> sc.pitchFromDegree(12)
    F#3
    >>> sc.getScaleDegreeFromPitch('g2', comparisonAttribute='pitchClass')
    1
    >>> sc.getScaleDegreeFromPitch('F#6', comparisonAttribute='pitchClass')
    12




CyclicalScale
-------------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: CyclicalScale(tonic=None, intervalList=['m2'])

    A concrete cyclical scale, based on a cycle of intervals. These intervals do not have to be octave completing, and thus may produce scales that do no



    >>> from music21 import *
    >>> sc = scale.CyclicalScale('c4', 'p5') # can give one list
    >>> sc.pitches
    [C4, G4]
    >>> sc.getPitches('g2', 'g6')
    [B-2, F3, C4, G4, D5, A5, E6]
    >>> sc.getScaleDegreeFromPitch('g4') # as single interval cycle, all are 1
    1
    >>> sc.getScaleDegreeFromPitch('b-2', direction='bi')
    1




DiatonicScale
-------------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: DiatonicScale(tonic=None)

    A concrete diatonic scale. Each DiatonicScale has one instance of a  :class:`~music21.scale.AbstractDiatonicScale`.



    **DiatonicScale** **attributes**

        Attributes inherited from :class:`~music21.scale.ConcreteScale`: :attr:`~music21.scale.ConcreteScale.tonic`, :attr:`~music21.scale.ConcreteScale.boundRange`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **DiatonicScale** **properties**

        .. attribute:: musicxml

            Return a complete musicxml representation.



        Properties inherited from :class:`~music21.scale.ConcreteScale`: :attr:`~music21.scale.ConcreteScale.abstract`, :attr:`~music21.scale.ConcreteScale.chord`, :attr:`~music21.scale.ConcreteScale.isConcrete`, :attr:`~music21.scale.ConcreteScale.name`, :attr:`~music21.scale.ConcreteScale.pitches`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **DiatonicScale** **methods**

        .. method:: getDominant()

            Return the dominant.



            >>> from music21 import *
            >>> sc = scale.MajorScale('e-')
            >>> sc.getDominant()
            B-4
            >>> sc = scale.MajorScale('F#')
            >>> sc.getDominant()
            C#5



        .. method:: getLeadingTone()

            Return the leading tone.



            >>> from music21 import *
            >>> sc = scale.MinorScale('c')
            >>> sc.pitchFromDegree(7)
            B-4
            >>> sc.getLeadingTone()
            B4
            >>> sc.getDominant()
            G4




        .. method:: getParallelMajor()

            Return a concrete relative major scale



            >>> from music21 import *
            >>> sc1 = scale.MinorScale(pitch.Pitch('g'))
            >>> sc1.pitches
            [G4, A4, B-4, C5, D5, E-5, F5, G5]
            >>> sc2 = sc1.getParallelMajor()
            >>> sc2.pitches
            [G4, A4, B4, C5, D5, E5, F#5, G5]



        .. method:: getParallelMinor()

            Return a parallel minor scale based on this concrete major scale.



            >>> from music21 import *
            >>> sc1 = scale.MajorScale(pitch.Pitch('a'))
            >>> sc1.pitches
            [A4, B4, C#5, D5, E5, F#5, G#5, A5]
            >>> sc2 = sc1.getParallelMinor()
            >>> sc2.pitches
            [A4, B4, C5, D5, E5, F5, G5, A5]



        .. method:: getRelativeMajor()

            Return a concrete relative major scale



            >>> sc1 = MinorScale(pitch.Pitch('g'))
            >>> sc1.pitches
            [G4, A4, B-4, C5, D5, E-5, F5, G5]
            >>> sc2 = sc1.getRelativeMajor()
            >>> sc2.pitches
            [B-4, C5, D5, E-5, F5, G5, A5, B-5]
            ⁠ 
            >>> sc2 = DorianScale('d')
            >>> sc2.getRelativeMajor().pitches
            [C5, D5, E5, F5, G5, A5, B5, C6]



        .. method:: getRelativeMinor()

            Return a relative minor scale based on this concrete major scale.



            >>> sc1 = MajorScale(pitch.Pitch('a'))
            >>> sc1.pitches
            [A4, B4, C#5, D5, E5, F#5, G#5, A5]
            >>> sc2 = sc1.getRelativeMinor()
            >>> sc2.pitches
            [F#5, G#5, A5, B5, C#6, D6, E6, F#6]



        .. method:: getTonic()

            Return the tonic.



            >>> from music21 import *
            >>> sc = scale.MajorScale('e-')
            >>> sc.getDominant()
            B-4
            >>> sc = scale.MajorScale('F#')
            >>> sc.getDominant()
            C#5



        Methods inherited from :class:`~music21.scale.ConcreteScale`: :meth:`~music21.scale.ConcreteScale.derive`, :meth:`~music21.scale.ConcreteScale.deriveByDegree`, :meth:`~music21.scale.ConcreteScale.deriveRanked`, :meth:`~music21.scale.ConcreteScale.findMissing`, :meth:`~music21.scale.ConcreteScale.getChord`, :meth:`~music21.scale.ConcreteScale.getDegreeMaxUnique`, :meth:`~music21.scale.ConcreteScale.getPitches`, :meth:`~music21.scale.ConcreteScale.getScalaStorage`, :meth:`~music21.scale.ConcreteScale.getScaleDegreeAndAccidentalFromPitch`, :meth:`~music21.scale.ConcreteScale.getScaleDegreeFromPitch`, :meth:`~music21.scale.ConcreteScale.intervalBetweenDegrees`, :meth:`~music21.scale.ConcreteScale.isNext`, :meth:`~music21.scale.ConcreteScale.match`, :meth:`~music21.scale.ConcreteScale.next`, :meth:`~music21.scale.ConcreteScale.pitchFromDegree`, :meth:`~music21.scale.ConcreteScale.pitchesFromScaleDegrees`, :meth:`~music21.scale.ConcreteScale.romanNumeral`, :meth:`~music21.scale.ConcreteScale.show`, :meth:`~music21.scale.ConcreteScale.solfeg`, :meth:`~music21.scale.ConcreteScale.transpose`, :meth:`~music21.scale.ConcreteScale.tune`, :meth:`~music21.scale.ConcreteScale.write`

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


DorianScale
-----------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: DorianScale(tonic=None)

    A natural minor scale, or the Aeolian mode.



    >>> sc = DorianScale(pitch.Pitch('d'))
    >>> sc.pitches
    [D4, E4, F4, G4, A4, B4, C5, D5]




HarmonicMinorScale
------------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: HarmonicMinorScale(tonic=None)

    A harmonic minor scale



    >>> sc = HarmonicMinorScale('e4')
    >>> sc.pitches
    [E4, F#4, G4, A4, B4, C5, D#5, E5]
    >>> sc.getTonic()
    E4
    >>> sc.getDominant()
    B4
    >>> sc.pitchFromDegree(1) # scale degree 1 is treated as lowest
    E4




HypoaeolianScale
----------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: HypoaeolianScale(tonic=None)

    A hypoaeolian scale



    >>> sc = HypoaeolianScale(pitch.Pitch('a'))
    >>> sc.pitches
    [E4, F4, G4, A4, B4, C5, D5, E5]
    >>> sc = HypoaeolianScale(pitch.Pitch('c'))
    >>> sc.pitches
    [G3, A-3, B-3, C4, D4, E-4, F4, G4]




HypodorianScale
---------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: HypodorianScale(tonic=None)

    A hypodorian scale



    >>> sc = HypodorianScale(pitch.Pitch('d'))
    >>> sc.pitches
    [A3, B3, C4, D4, E4, F4, G4, A4]
    >>> sc = HypodorianScale(pitch.Pitch('c'))
    >>> sc.pitches
    [G3, A3, B-3, C4, D4, E-4, F4, G4]




HypolocrianScale
----------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: HypolocrianScale(tonic=None)

    A hypolocrian scale



    >>> sc = HypolocrianScale(pitch.Pitch('b'))
    >>> sc.pitches
    [F4, G4, A4, B4, C5, D5, E5, F5]
    >>> sc = HypolocrianScale(pitch.Pitch('c'))
    >>> sc.pitches
    [G-3, A-3, B-3, C4, D-4, E-4, F4, G-4]




HypolydianScale
---------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: HypolydianScale(tonic=None)

    A hypolydian scale



    >>> sc = HypolydianScale(pitch.Pitch('f'))
    >>> sc.pitches
    [C4, D4, E4, F4, G4, A4, B4, C5]
    >>> sc = HypolydianScale(pitch.Pitch('c'))
    >>> sc.pitches
    [G3, A3, B3, C4, D4, E4, F#4, G4]




HypomixolydianScale
-------------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: HypomixolydianScale(tonic=None)

    A hypolydian scale



    >>> sc = HypomixolydianScale(pitch.Pitch('g'))
    >>> sc.pitches
    [D4, E4, F4, G4, A4, B4, C5, D5]
    >>> sc = HypomixolydianScale(pitch.Pitch('c'))
    >>> sc.pitches
    [G3, A3, B-3, C4, D4, E4, F4, G4]




HypophrygianScale
-----------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: HypophrygianScale(tonic=None)

    A hypophrygian scale



    >>> sc = HypophrygianScale(pitch.Pitch('e'))
    >>> sc.abstract.octaveDuplicating
    True
    >>> sc.pitches
    [B3, C4, D4, E4, F4, G4, A4, B4]
    >>> sc.getTonic()
    E4
    >>> sc.getDominant()
    A4
    >>> sc.pitchFromDegree(1) # scale degree 1 is treated as lowest
    B3




LocrianScale
------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: LocrianScale(tonic=None)

    A locrian scale



    >>> sc = LocrianScale(pitch.Pitch('b'))
    >>> sc.pitches
    [B4, C5, D5, E5, F5, G5, A5, B5]
    >>> sc = LocrianScale(pitch.Pitch('c'))
    >>> sc.pitches
    [C4, D-4, E-4, F4, G-4, A-4, B-4, C5]




LydianScale
-----------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: LydianScale(tonic=None)

    A lydian scale



    >>> sc = LydianScale(pitch.Pitch('f'))
    >>> sc.pitches
    [F4, G4, A4, B4, C5, D5, E5, F5]
    >>> sc = LydianScale(pitch.Pitch('c'))
    >>> sc.pitches
    [C4, D4, E4, F#4, G4, A4, B4, C5]




MajorScale
----------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: MajorScale(tonic=None)

    A Major Scale



    >>> sc = MajorScale(pitch.Pitch('d'))
    >>> sc.pitchFromDegree(7).name
    'C#'




MelodicMinorScale
-----------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: MelodicMinorScale(tonic=None)

    A melodic minor scale



    >>> sc = MelodicMinorScale('e4')




MinorScale
----------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: MinorScale(tonic=None)

    A natural minor scale, or the Aeolian mode.



    >>> sc = MinorScale(pitch.Pitch('g'))
    >>> sc.pitches
    [G4, A4, B-4, C5, D5, E-5, F5, G5]




MixolydianScale
---------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: MixolydianScale(tonic=None)

    A mixolydian scale



    >>> sc = MixolydianScale(pitch.Pitch('g'))
    >>> sc.pitches
    [G4, A4, B4, C5, D5, E5, F5, G5]
    >>> sc = MixolydianScale(pitch.Pitch('c'))
    >>> sc.pitches
    [C4, D4, E4, F4, G4, A4, B-4, C5]




OctatonicScale
--------------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: OctatonicScale(tonic=None, mode=None)

    A concrete Octatonic scale. Two modes




OctaveRepeatingScale
--------------------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: OctaveRepeatingScale(tonic=None, intervalList=['m2', <music21.interval.Interval M7>, <music21.interval.Interval P1>])

    A concrete cyclical scale, based on a cycle of intervals. These intervals do not have to be octave completing, and thus may produce scales that do no



    >>> from music21 import *
    >>> sc = scale.OctaveRepeatingScale('c4', ['m3', 'M3']) #
    >>> sc.pitches
    [C4, E-4, G4, C5]
    >>> sc.getPitches('g2', 'g6')
    [G2, C3, E-3, G3, C4, E-4, G4, C5, E-5, G5, C6, E-6, G6]
    >>> sc.getScaleDegreeFromPitch('c4')
    1
    >>> sc.getScaleDegreeFromPitch('e-')
    2




PhrygianScale
-------------

Inherits from: :class:`~music21.scale.DiatonicScale`, :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: PhrygianScale(tonic=None)

    A phrygian scale



    >>> sc = PhrygianScale(pitch.Pitch('e'))
    >>> sc.pitches
    [E4, F4, G4, A4, B4, C5, D5, E5]




RagAsawari
----------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: RagAsawari(tonic=None)

    A concrete pseudo-raga scale.



    >>> from music21 import *
    >>> sc = scale.RagAsawari('c2')
    >>> sc.pitches
    [C2, D2, F2, G2, A-2, C3]
    >>> sc.getPitches(direction='descending')
    [C3, B-2, A-2, G2, F2, E-2, D2, C2]




RagMarwa
--------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: RagMarwa(tonic=None)

    A concrete pseudo-raga scale.



    >>> from music21 import *
    >>> sc = scale.RagMarwa('c2')
    >>> # this gets a pitch beyond the terminus b/c of descending form max
    >>> sc.pitches
    [C2, D-2, E2, F#2, A2, B2, A2, C3, D-3]




ScalaScale
----------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: ScalaScale(tonic=None, scalaString=None)


    A scale created from a Scala scale .scl file. Any file
    in the Scala archive can be given by name. Additionally, a file
    path to a Scala .scl file, or a raw string representation, can be used.




    >>> sc = ScalaScale('g4', 'mbira banda')
    >>> sc.pitches
    [G4, A4(-15c), B4(-11c), C#5(-7c), D~5(+6c), E5(+14c), F~5(+1c), A-5(+2c)]


    if only a single string is given and it's too long to be a tonic
    or it ends in .scl, assume it's the name of a scala scale and
    set the tonic to C4




    >>> sc = ScalaScale('pelog_9')
    >>> sc.pitches
    [C4, D`4(-17c), D~4(+17c), F~4(-17c), G`4(+17c), A-4, A~4(-17c), C5]


    If no scale with that name can be found then it raises an exception:




    >>> sc = ScalaScale('badFileName.scl')
    Traceback (most recent call last):
    ScaleException: Could not find a file named badFileName.scl in the scala database




    **ScalaScale** **attributes**

        Attributes without Documentation: `description`

        Attributes inherited from :class:`~music21.scale.ConcreteScale`: :attr:`~music21.scale.ConcreteScale.tonic`, :attr:`~music21.scale.ConcreteScale.boundRange`

        Attributes inherited from :class:`~music21.scale.Scale`: :attr:`~music21.scale.Scale.type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **ScalaScale** **properties**

        Properties inherited from :class:`~music21.scale.ConcreteScale`: :attr:`~music21.scale.ConcreteScale.abstract`, :attr:`~music21.scale.ConcreteScale.chord`, :attr:`~music21.scale.ConcreteScale.isConcrete`, :attr:`~music21.scale.ConcreteScale.musicxml`, :attr:`~music21.scale.ConcreteScale.name`, :attr:`~music21.scale.ConcreteScale.pitches`

        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **ScalaScale** **methods**

        Methods inherited from :class:`~music21.scale.ConcreteScale`: :meth:`~music21.scale.ConcreteScale.derive`, :meth:`~music21.scale.ConcreteScale.deriveByDegree`, :meth:`~music21.scale.ConcreteScale.deriveRanked`, :meth:`~music21.scale.ConcreteScale.findMissing`, :meth:`~music21.scale.ConcreteScale.getChord`, :meth:`~music21.scale.ConcreteScale.getDegreeMaxUnique`, :meth:`~music21.scale.ConcreteScale.getPitches`, :meth:`~music21.scale.ConcreteScale.getScalaStorage`, :meth:`~music21.scale.ConcreteScale.getScaleDegreeAndAccidentalFromPitch`, :meth:`~music21.scale.ConcreteScale.getScaleDegreeFromPitch`, :meth:`~music21.scale.ConcreteScale.getTonic`, :meth:`~music21.scale.ConcreteScale.intervalBetweenDegrees`, :meth:`~music21.scale.ConcreteScale.isNext`, :meth:`~music21.scale.ConcreteScale.match`, :meth:`~music21.scale.ConcreteScale.next`, :meth:`~music21.scale.ConcreteScale.pitchFromDegree`, :meth:`~music21.scale.ConcreteScale.pitchesFromScaleDegrees`, :meth:`~music21.scale.ConcreteScale.romanNumeral`, :meth:`~music21.scale.ConcreteScale.show`, :meth:`~music21.scale.ConcreteScale.solfeg`, :meth:`~music21.scale.ConcreteScale.transpose`, :meth:`~music21.scale.ConcreteScale.tune`, :meth:`~music21.scale.ConcreteScale.write`

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


Scale
-----

Inherits from: :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: Scale()


    Generic base class for all scales, both abstract and concrete.



    **Scale** **attributes**

        Attributes without Documentation: `type`

        Attributes inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.classSortOrder`, :attr:`~music21.base.Music21Object.isSpanner`, :attr:`~music21.base.Music21Object.isStream`, :attr:`~music21.base.Music21Object.isVariant`, :attr:`~music21.base.Music21Object.hideObjectOnPrint`, :attr:`~music21.base.Music21Object.groups`, :attr:`~music21.base.Music21Object.id`

    **Scale** **properties**

        .. attribute:: isConcrete

            To be concrete, a Scale must have a defined tonic.
            An abstract Scale is not Concrete, nor is a Concrete scale
            without a defined tonic.



        .. attribute:: name

            Return or construct the name of this scale.




        Properties inherited from :class:`~music21.base.Music21Object`: :attr:`~music21.base.Music21Object.activeSite`, :attr:`~music21.base.Music21Object.beat`, :attr:`~music21.base.Music21Object.beatDuration`, :attr:`~music21.base.Music21Object.beatStr`, :attr:`~music21.base.Music21Object.beatStrength`, :attr:`~music21.base.Music21Object.classes`, :attr:`~music21.base.Music21Object.derivationHierarchy`, :attr:`~music21.base.Music21Object.duration`, :attr:`~music21.base.Music21Object.isGrace`, :attr:`~music21.base.Music21Object.measureNumber`, :attr:`~music21.base.Music21Object.offset`, :attr:`~music21.base.Music21Object.priority`, :attr:`~music21.base.Music21Object.seconds`

        Properties inherited from :class:`~music21.base.JSONSerializer`: :attr:`~music21.base.JSONSerializer.json`

    **Scale** **methods**

        Methods inherited from :class:`~music21.base.Music21Object`: :meth:`~music21.base.Music21Object.searchActiveSiteByAttr`, :meth:`~music21.base.Music21Object.getContextAttr`, :meth:`~music21.base.Music21Object.setContextAttr`, :meth:`~music21.base.Music21Object.addContext`, :meth:`~music21.base.Music21Object.addLocation`, :meth:`~music21.base.Music21Object.addLocationAndActiveSite`, :meth:`~music21.base.Music21Object.freezeIds`, :meth:`~music21.base.Music21Object.getAllContextsByClass`, :meth:`~music21.base.Music21Object.getCommonSiteIds`, :meth:`~music21.base.Music21Object.getCommonSites`, :meth:`~music21.base.Music21Object.getContextByClass`, :meth:`~music21.base.Music21Object.getOffsetBySite`, :meth:`~music21.base.Music21Object.getSiteIds`, :meth:`~music21.base.Music21Object.getSites`, :meth:`~music21.base.Music21Object.getSpannerSites`, :meth:`~music21.base.Music21Object.hasContext`, :meth:`~music21.base.Music21Object.hasSite`, :meth:`~music21.base.Music21Object.hasSpannerSite`, :meth:`~music21.base.Music21Object.hasVariantSite`, :meth:`~music21.base.Music21Object.isClassOrSubclass`, :meth:`~music21.base.Music21Object.mergeAttributes`, :meth:`~music21.base.Music21Object.next`, :meth:`~music21.base.Music21Object.previous`, :meth:`~music21.base.Music21Object.purgeLocations`, :meth:`~music21.base.Music21Object.purgeOrphans`, :meth:`~music21.base.Music21Object.purgeUndeclaredIds`, :meth:`~music21.base.Music21Object.removeLocationBySite`, :meth:`~music21.base.Music21Object.removeLocationBySiteId`, :meth:`~music21.base.Music21Object.setOffsetBySite`, :meth:`~music21.base.Music21Object.show`, :meth:`~music21.base.Music21Object.splitAtDurations`, :meth:`~music21.base.Music21Object.splitAtQuarterLength`, :meth:`~music21.base.Music21Object.splitByQuarterLengths`, :meth:`~music21.base.Music21Object.unfreezeIds`, :meth:`~music21.base.Music21Object.unwrapWeakref`, :meth:`~music21.base.Music21Object.wrapWeakref`, :meth:`~music21.base.Music21Object.write`

        Methods inherited from :class:`~music21.base.JSONSerializer`: :meth:`~music21.base.JSONSerializer.jsonAttributes`, :meth:`~music21.base.JSONSerializer.jsonComponentFactory`, :meth:`~music21.base.JSONSerializer.jsonPrint`, :meth:`~music21.base.JSONSerializer.jsonRead`, :meth:`~music21.base.JSONSerializer.jsonWrite`


SieveScale
----------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: SieveScale(tonic=None, sieveString='2@0', eld=1)

    A scale created from a Xenakis sieve logical string, based on the :class:`~music21.sieve.Sieve` object definition. The complete period of the sieve is realized as intervals and used to create a scale.



    >>> from music21 import *
    >>> sc = scale.SieveScale('c4', '3@0')
    >>> sc.pitches
    [C4, E-4]
    >>> sc = scale.SieveScale('d4', '3@0')
    >>> sc.pitches
    [D4, F4]
    >>> sc = scale.SieveScale('c2', '(-3@2 & 4) | (-3@1 & 4@1) | (3@2 & 4@2) | (-3 & 4@3)')
    >>> sc.pitches
    [C2, D2, E2, F2, G2, A2, B2, C3]





WeightedHexatonicBlues
----------------------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: WeightedHexatonicBlues(tonic=None)

    A concrete scale based on a dynamic mixture of a minor pentatonic and the hexatonic blues scale.



    >>> from music21 import *




WholeToneScale
--------------

Inherits from: :class:`~music21.scale.ConcreteScale`, :class:`~music21.scale.Scale`, :class:`~music21.base.Music21Object`, :class:`~music21.base.JSONSerializer`

.. class:: WholeToneScale(tonic=None)

    A concrete whole-tone scale.



    >>> from music21 import *
    >>> sc = scale.WholeToneScale('g2')
    >>> sc.pitches
    [G2, A2, B2, C#3, D#3, E#3, G3]
    >>> sc.getPitches('g2', 'g6')
    [G2, A2, B2, C#3, D#3, E#3, G3, A3, B3, C#4, D#4, E#4, G4, A4, B4, C#5, D#5, E#5, G5, A5, B5, C#6, D#6, E#6, G6]
    >>> sc.abstract.getDegreeMaxUnique()
    6
    >>> sc.pitchFromDegree(1)
    G2
    >>> sc.pitchFromDegree(2)
    A2
    >>> sc.pitchFromDegree(6)
    E#3
    >>> sc.getScaleDegreeFromPitch('g2', comparisonAttribute='pitchClass')
    1
    >>> sc.getScaleDegreeFromPitch('F6', comparisonAttribute='pitchClass')
    6




