music21.serial

This module defines objects for defining and manipulating structures common to serial and/or twelve-tone music, including ToneRow subclasses.

Serial searching methods that were previously here have been moved to serial.

ToneRow

class music21.serial.ToneRow(row=None, **keywords)

A Stream representation of a tone row, or an ordered sequence of pitches; can most importantly be used to deal with serial transformations.

Unlike a normal Stream, the first argument is assumed to be a ToneRow:

>>> toneRow = serial.ToneRow([10, 9, 4, 5, 6, 3, 2, 8, 7, 11, 0, 1])

The representation of a ToneRow will be the contents:

>>> toneRow
<music21.serial.ToneRow A94563287B01>

Unless (like a Stream), the id is set:

>>> toneRow.id = 'retrograde_jungfrau'
>>> toneRow
<music21.serial.ToneRow retrograde_jungfrau>

A ToneRow does not need to have twelve pitches, like this ten-tone row from Ruth Crawford Seeger’s String Quartet 1931

>>> rcsRow = serial.ToneRow([2, 4, 5, 3, 6, 9, 8, 7, 1, 0])
>>> rcsRow
<music21.serial.ToneRow 2453698710>
>>> len(rcsRow)
10

ToneRow bases

ToneRow read-only properties

Read-only properties inherited from Stream:

Read-only properties inherited from StreamCore:

Read-only properties inherited from Music21Object:

Read-only properties inherited from ProtoM21Object:

ToneRow read/write properties

Read/write properties inherited from Stream:

Read/write properties inherited from Music21Object:

ToneRow methods

ToneRow.findOriginalCenteredTransformations(otherRow)

Gives the list of original-centered serial transformations taking one ToneRow to another, the second specified in the argument. Each transformation is given as a tuple of the transformation type and index.

See originalCenteredTransformation() for an explanation of this convention.

>>> chromatic = serial.pcToToneRow(       [2, 3, 4, 5, 6, 7, 8, 9, 'A', 'B',   0, 1])
>>> reverseChromatic = serial.pcToToneRow([8, 7, 6, 5, 4, 3, 2, 1, 0,   'B', 'A', 9])
>>> chromatic.findOriginalCenteredTransformations(reverseChromatic)
[('I', 6), ('R', 7)]
>>> schoenberg25 = serial.getHistoricalRowByName('SchoenbergOp25')
>>> schoenberg26 = serial.getHistoricalRowByName('SchoenbergOp26')
>>> schoenberg25.findOriginalCenteredTransformations(schoenberg26)
[]
>>> schoenberg26.findOriginalCenteredTransformations(
...     schoenberg26.originalCenteredTransformation('RI',8))
[('RI', 8)]
ToneRow.findZeroCenteredTransformations(otherRow) → bool | list[Any]

Gives the list of zero-centered serial transformations taking one ToneRow to another, the second specified in the argument. Each transformation is given as a tuple of the transformation type and index.

See zeroCenteredTransformation() for an explanation of this convention.

>>> chromatic = serial.pcToToneRow([2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1])
>>> reverseChromatic = serial.pcToToneRow([8, 7, 6, 5, 4, 3, 2, 1, 0, 11, 10, 9])
>>> chromatic.findZeroCenteredTransformations(reverseChromatic)
[('I', 8), ('R', 9)]
>>> schoenberg25 = serial.getHistoricalRowByName('SchoenbergOp25')
>>> schoenberg26 = serial.pcToToneRow(serial.getHistoricalRowByName(
...                                        'SchoenbergOp26').row)
>>> schoenberg25.findZeroCenteredTransformations(schoenberg26)
[]
>>> schoenberg26.findZeroCenteredTransformations(
...     schoenberg26.zeroCenteredTransformation('RI', 8))
[('RI', 8)]
ToneRow.getIntervalsAsString()

Returns the string of intervals between consecutive pitch classes of a ToneRow. ‘T’ = 10, ‘E’ = 11.

>>> cRow = serial.pcToToneRow([0])
>>> cRow.getIntervalsAsString()
''
>>> reverseChromatic = serial.pcToToneRow([11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0])
>>> reverseChromatic.getIntervalsAsString()
'EEEEEEEEEEE'
ToneRow.isSameRow(other)

Convenience function describing if two rows are the same.

>>> row1 = serial.pcToToneRow([6, 7, 8])
>>> row2 = serial.pcToToneRow([-6, 19, 128])
>>> row3 = serial.pcToToneRow([6, 7, -8])
>>> row1.isSameRow(row2)
True
>>> row2.isSameRow(row1)
True
>>> row1.isSameRow(row3)
False
ToneRow.isTwelveToneRow()

Describes whether a ToneRow constitutes a twelve-tone row. Note that a TwelveToneRow object might not be a twelve-tone row.

>>> serial.ToneRow([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]).isTwelveToneRow()
True
>>> serial.ToneRow([0, 4, 8]).isTwelveToneRow()
False
>>> serial.ToneRow([3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]).isTwelveToneRow()
False
ToneRow.makeTwelveToneRow()

Convenience function returning a TwelveToneRow with the same pitches. Note that a ToneRow may be created without being a true twelve tone row.

>>> r1 = serial.pcToToneRow(range(11))
>>> type(r1)
<class 'music21.serial.ToneRow'>
>>> n = note.Note()
>>> n.pitch.pitchClass = 11
>>> r1.append(n)
>>> r2 = r1.makeTwelveToneRow()
>>> type(r2)
<class 'music21.serial.TwelveToneRow'>
ToneRow.noteNames()

Convenience function showing the note names of a ToneRow as a list.

>>> chromatic = serial.TwelveToneRow(range(12))
>>> chromatic.noteNames()
['C', 'C#', 'D', 'E-', 'E', 'F', 'F#', 'G', 'G#', 'A', 'B-', 'B']

>>> halfStep = serial.ToneRow([0, 1])
>>> halfStep.noteNames()
['C', 'C#']
ToneRow.originalCenteredTransformation(transformationType: str, index: int)

Returns a ToneRow giving a transformation of a tone row. Admissible transformations are ‘T’ (transposition), ‘I’ (inversion), ‘R’ (retrograde), and ‘RI’ (retrograde inversion).

In the “original-centered” convention, which is less common than the “zero-centered” convention, the original row is not initially transposed to start on the pitch class 0. Thus, the transformation Tn transposes the original row up by n semitones, and the transformations In, Rn, and RIn first transform the row appropriately (without transposition), then transpose the resulting row by n semitones.

>>> chromatic = serial.pcToToneRow(range(12))
>>> chromatic.pitchClasses()
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
>>> chromaticP3 = chromatic.originalCenteredTransformation('T',3)
>>> chromaticP3.pitchClasses()
[3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2]
>>> chromaticI6 = chromatic.originalCenteredTransformation('I',6)
>>> chromaticI6.pitchClasses()
[6, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7]
>>> schoenberg = serial.getHistoricalRowByName('SchoenbergOp26')
>>> schoenberg.pitchClasses()
[3, 7, 9, 11, 1, 0, 10, 2, 4, 6, 8, 5]
>>> schoenbergR8 = schoenberg.originalCenteredTransformation('R',8)
>>> schoenbergR8.pitchClasses()
[1, 4, 2, 0, 10, 6, 8, 9, 7, 5, 3, 11]
>>> schoenbergRI9 = schoenberg.originalCenteredTransformation('RI',9)
>>> schoenbergRI9.noteNames()
['B-', 'G', 'A', 'B', 'C#', 'F', 'E-', 'D', 'E', 'F#', 'G#', 'C']
ToneRow.pitchClasses()

Convenience function showing the pitch classes of a ToneRow as a list.

>>> fiveFold = [5 * i for i in range(12)]
>>> fiveFold
[0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55]

>>> quintupleRow = serial.pcToToneRow(fiveFold)
>>> quintupleRow
<music21.serial.TwelveToneRow 05A3816B4927>
>>> quintupleRow.pitchClasses()
[0, 5, 10, 3, 8, 1, 6, 11, 4, 9, 2, 7]

>>> halfStep = serial.pcToToneRow([0, 1])
>>> halfStep.pitchClasses()
[0, 1]
ToneRow.zeroCenteredTransformation(transformationType, index)

Returns a ToneRow giving a transformation of a tone row. Admissible transformationTypes are ‘P’ (prime), ‘I’ (inversion), ‘R’ (retrograde), and ‘RI’ (retrograde inversion).

In the “zero-centered” convention, the transformations Pn and In start on the pitch class n, and the transformations Rn and RIn end on the pitch class n.

>>> chromatic = serial.pcToToneRow(range(12))
>>> chromatic.pitchClasses()
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
>>> chromaticP3 = chromatic.zeroCenteredTransformation('P',3)
>>> chromaticP3.pitchClasses()
[3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2]
>>> chromaticI6 = chromatic.zeroCenteredTransformation('I',6)
>>> chromaticI6.pitchClasses()
[6, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7]
>>> schoenberg = serial.getHistoricalRowByName('SchoenbergOp26')
>>> schoenberg.pitchClasses()
[3, 7, 9, 11, 1, 0, 10, 2, 4, 6, 8, 5]
>>> schoenbergR8 = schoenberg.zeroCenteredTransformation('R',8)
>>> schoenbergR8.pitchClasses()
[10, 1, 11, 9, 7, 3, 5, 6, 4, 2, 0, 8]
>>> schoenbergRI9 = schoenberg.zeroCenteredTransformation('RI',9)
>>> schoenbergRI9.noteNames()
['G', 'E', 'F#', 'G#', 'B-', 'D', 'C', 'B', 'C#', 'E-', 'F', 'A']

Methods inherited from Stream:

Methods inherited from StreamCore:

Methods inherited from Music21Object:

Methods inherited from ProtoM21Object:

ToneRow instance variables

ToneRow.row

A list representing the pitch class values of the row.

Instance variables inherited from Stream:

Instance variables inherited from Music21Object:

TwelveToneRow

class music21.serial.TwelveToneRow(row=None, **keywords)

A Stream representation of a twelve-tone row, capable of producing a 12-tone matrix.

TwelveToneRow bases

TwelveToneRow read-only properties

Read-only properties inherited from Stream:

Read-only properties inherited from StreamCore:

Read-only properties inherited from Music21Object:

Read-only properties inherited from ProtoM21Object:

TwelveToneRow read/write properties

Read/write properties inherited from Stream:

Read/write properties inherited from Music21Object:

TwelveToneRow methods

TwelveToneRow.areCombinatorial(transType1: str, index1: int, transType2: str, index2: int) → bool

Describes whether two transformations of a twelve-tone row are combinatorial.

The first and second arguments describe one transformation, while the third and fourth describe another.

First, let’s take a row we know to have a combinatoriality pair:

>>> moses = serial.getHistoricalRowByName('SchoenbergMosesAron')
>>> moses.pitchClasses()
[9, 10, 4, 2, 3, 1, 7, 5, 6, 8, 11, 0]

Combinatoriality holds here between P0 and I3

>>> moses.areCombinatorial('P', 0, 'I', 3)
True

And a combinatorial pair like this between P0 and I3 will also hold if you modify both rows in the same way, e.g. if you transpose both by the same amount

>>> moses.areCombinatorial('P', 1, 'I', 4)
True

or if you retrograde both

>>> moses.areCombinatorial('R', 1, 'RI', 4)
True

Any modification made to one row form and not the other means all bets are off

>>> moses.areCombinatorial('R', 6, 'RI', 4)
False

  • Changed in v7: convention is no longer necessary and no longer used. Renamed to unused_convention and defaults None; to be removed in v8.

TwelveToneRow.findHistorical()

Checks if a given music21.serial.TwelveToneRow is the same as any of the historical twelve-tone rows stored by music21: see music21.serial.getHistoricalRowByName(). Returns a list of names of historical rows to which the input row is identical.

>>> row = serial.pcToToneRow([2, 3, 9, 1, 11, 5, 8, 7, 4, 0, 10, 6])
>>> row.findHistorical()
['SchoenbergOp32']
>>> chromatic = serial.pcToToneRow(range(12))
>>> chromatic.findHistorical()
[]
TwelveToneRow.findTransformedHistorical(convention)

Checks if a given music21.serial.TwelveToneRow is a transformation of any historical twelve-tone row stored by music21 (see music21.serial.getHistoricalRowByName()). Returns a list of tuples, the tuple consisting of the name of a historical row, and a list of transformations relating the input row to the historical row.

The convention for serial transformations must also be specified as ‘zero’ or ‘original’, as explained in findZeroCenteredTransformations() and findOriginalCenteredTransformations().

>>> row = serial.pcToToneRow([5, 9, 11, 3, 6, 7, 4, 10, 0, 8, 2, 1])
>>> row.findTransformedHistorical('original')
[('SchoenbergOp32', [('R', 11)])]
TwelveToneRow.getLinkClassification()

Gives the classification number of a Link Chord (as given in http://www.johnlinkmusic.com/LinkChords.pdf), that is, is an all-interval twelve-tone row containing a voicing of the all-trichord hexachord: [0, 1, 2, 4, 7, 8]. In addition, gives a list of sets of five contiguous intervals within the row representing a voicing of the all-trichord hexachord. Note that the interval sets may be transformed.

Named for John Link who discovered them.

>>> bergLyric = serial.getHistoricalRowByName('BergLyricSuite')
>>> bergLyric.pitchClasses()
[5, 4, 0, 9, 7, 2, 8, 1, 3, 6, 10, 11]
>>> bergLyric.isAllInterval()
True
>>> bergLyric.getLinkClassification()
(None, [])
>>> link = serial.pcToToneRow([0, 3, 8, 2, 10, 11, 9, 4, 1, 5, 7, 6])
>>> link.getLinkClassification()
(62, ['8352E'])
>>> doubleLink = serial.pcToToneRow([0, 1, 8, 5, 7, 10, 4, 3, 11, 9, 2, 6])
>>> doubleLink.getLinkClassification()
(33, ['236E8', '36E8T'])
TwelveToneRow.isAllInterval() → bool

Describes whether a TwelveToneRow is an all-interval row.

>>> chromatic = serial.pcToToneRow(range(12))
>>> chromatic.pitchClasses()
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]
>>> chromatic.isAllInterval()
False
>>> bergLyric = serial.getHistoricalRowByName('BergLyricSuite')
>>> bergLyric.pitchClasses()
[5, 4, 0, 9, 7, 2, 8, 1, 3, 6, 10, 11]
>>> bergLyric.isAllInterval()
True
TwelveToneRow.isLinkChord() → bool

Describes whether a TwelveToneRow is a Link Chord.

>>> bergLyric = serial.getHistoricalRowByName('BergLyricSuite')
>>> bergLyric.pitchClasses()
[5, 4, 0, 9, 7, 2, 8, 1, 3, 6, 10, 11]
>>> bergLyric.isAllInterval()
True
>>> bergLyric.isLinkChord()
False
>>> link = serial.pcToToneRow([0, 3, 8, 2, 10, 11, 9, 4, 1, 5, 7, 6])
>>> link.isLinkChord()
True
>>> doubleLink = serial.pcToToneRow([0, 1, 8, 5, 7, 10, 4, 3, 11, 9, 2, 6])
>>> doubleLink.isLinkChord()
True
TwelveToneRow.matrix()

Returns a TwelveToneMatrix object for the row. That object can just be printed (or displayed via .show())

>>> src = serial.getHistoricalRowByName('SchoenbergOp37')
>>> [p.name for p in src]
['D', 'C#', 'A', 'B-', 'F', 'E-', 'E', 'C', 'G#', 'G', 'F#', 'B']
>>> len(src)
12
>>> s37 = serial.getHistoricalRowByName('SchoenbergOp37').matrix()
>>> print(s37)
  0  B  7  8  3  1  2  A  6  5  4  9
  1  0  8  9  4  2  3  B  7  6  5  A
  5  4  0  1  8  6  7  3  B  A  9  2
  4  3  B  0  7  5  6  2  A  9  8  1
...
>>> [str(e.pitch) for e in s37[0]]
['C', 'B', 'G', 'G#', 'E-', 'C#', 'D', 'B-', 'F#', 'F', 'E', 'A']

Methods inherited from ToneRow:

Methods inherited from Stream:

Methods inherited from StreamCore:

Methods inherited from Music21Object:

Methods inherited from ProtoM21Object:

TwelveToneRow instance variables

Instance variables inherited from ToneRow:

Instance variables inherited from Stream:

Instance variables inherited from Music21Object:

HistoricalTwelveToneRow

class music21.serial.HistoricalTwelveToneRow(composer: None | str = None, opus: None | str = None, title: None | str = None, row=None, **keywords)

Subclass of TwelveToneRow storing additional attributes of a twelve-tone row used in the historical literature.

HistoricalTwelveToneRow bases

HistoricalTwelveToneRow read-only properties

Read-only properties inherited from Stream:

Read-only properties inherited from StreamCore:

Read-only properties inherited from Music21Object:

Read-only properties inherited from ProtoM21Object:

HistoricalTwelveToneRow read/write properties

Read/write properties inherited from Stream:

Read/write properties inherited from Music21Object:

HistoricalTwelveToneRow methods

HistoricalTwelveToneRow.mergeAttributes(other)

Merge relevant attributes from the Other stream into this one.

>>> s = stream.Stream()
>>> s.append(note.Note())
>>> s.autoSort = False
>>> s.id = 'hi'
>>> s2 = stream.Stream()
>>> s2.mergeAttributes(s)
>>> s2.autoSort
False
>>> s2
<music21.stream.Stream hi>
>>> len(s2)
0

Methods inherited from TwelveToneRow:

Methods inherited from ToneRow:

Methods inherited from Stream:

Methods inherited from StreamCore:

Methods inherited from Music21Object:

Methods inherited from ProtoM21Object:

HistoricalTwelveToneRow instance variables

HistoricalTwelveToneRow.composer

The name of the composer, or None. (String)

HistoricalTwelveToneRow.opus

The opus of the work, or None. (String)

HistoricalTwelveToneRow.title

The title of the work, or None. (String)

Instance variables inherited from ToneRow:

Instance variables inherited from Stream:

Instance variables inherited from Music21Object:

TwelveToneMatrix

class music21.serial.TwelveToneMatrix(givenElements: None | ~music21.base.Music21Object | ~collections.abc.Sequence[~music21.base.Music21Object] = None, *, givenElementsBehavior: ~music21.stream.enums.GivenElementsBehavior = <GivenElementsBehavior.OFFSETS>, **keywords)

An object representation of a 2-dimensional array of 12 pitches. Internal representation is as a Stream, which stores 12 Streams, each Stream a horizontal row of pitches in the matrix.

This object is commonly used by calling the matrix() method of TwelveToneRow (or a subclass).

>>> ttr = serial.TwelveToneRow([0, 2, 11, 7, 8, 3, 9, 1, 4, 10, 6, 5])
>>> aMatrix = ttr.matrix()
>>> print(aMatrix)
  0  2  B  7  8  3  9  1  4  A  6  5
  A  0  9  5  6  1  7  B  2  8  4  3
  1  3  0  8  9  4  A  2  5  B  7  6
  5  7  4  0  1  8  2  6  9  3  B  A
  4  6  3  B  0  7  1  5  8  2  A  9
  9  B  8  4  5  0  6  A  1  7  3  2
  3  5  2  A  B  6  0  4  7  1  9  8
  B  1  A  6  7  2  8  0  3  9  5  4
  8  A  7  3  4  B  5  9  0  6  2  1
  2  4  1  9  A  5  B  3  6  0  8  7
  6  8  5  1  2  9  3  7  A  4  0  B
  7  9  6  2  3  A  4  8  B  5  1  0

>>> repr(aMatrix)
'<music21.serial.TwelveToneMatrix for [<music21.serial.TwelveToneRow row-1>]>'

>>> fourthQuartetMatrix = serial.getHistoricalRowByName('SchoenbergOp37').matrix()
>>> repr(fourthQuartetMatrix)
'<music21.serial.TwelveToneMatrix for
     [<music21.serial.HistoricalTwelveToneRow Schoenberg Op. 37 Fourth String Quartet>]>'

TwelveToneMatrix bases

TwelveToneMatrix read-only properties

Read-only properties inherited from Stream:

Read-only properties inherited from StreamCore:

Read-only properties inherited from Music21Object:

Read-only properties inherited from ProtoM21Object:

TwelveToneMatrix read/write properties

Read/write properties inherited from Stream:

Read/write properties inherited from Music21Object:

TwelveToneMatrix methods

Methods inherited from Stream:

Methods inherited from StreamCore:

Methods inherited from Music21Object:

Methods inherited from ProtoM21Object:

TwelveToneMatrix instance variables

Instance variables inherited from Stream:

Instance variables inherited from Music21Object:

Functions

music21.serial.pcToToneRow(pcSet)

A convenience function that, given a list of pitch classes represented as integers and turns it in to a ToneRow object.

>>> chromaticRow = serial.pcToToneRow([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11])
>>> chromaticRow.show('text')
{0.0} <music21.note.Note C>
{1.0} <music21.note.Note C#>
{2.0} <music21.note.Note D>
{3.0} <music21.note.Note E->
{4.0} <music21.note.Note E>
{5.0} <music21.note.Note F>
{6.0} <music21.note.Note F#>
{7.0} <music21.note.Note G>
{8.0} <music21.note.Note G#>
{9.0} <music21.note.Note A>
{10.0} <music21.note.Note B->
{11.0} <music21.note.Note B>
>>> matrixObj = chromaticRow.matrix()
>>> print(matrixObj)
  0  1  2  3  4  5  6  7  8  9  A  B
  B  0  1  2  3  4  5  6  7  8  9  A
...

>>> fancyRow = serial.pcToToneRow([4, 5, 0, 6, 7, 2, 'a', 8, 9, 1, 'b', 3])
>>> matrixObj = fancyRow.matrix()
>>> print(matrixObj)
  0  1  8  2  3  A  6  4  5  9  7  B
  B  0  7  1  2  9  5  3  4  8  6  A
...

Note that the Row does not have to be a valid row to exist:

>>> multiSetRow = serial.pcToToneRow([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])
>>> multiSetRow.pitchClasses()
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

Or even have 12 notes:

>>> shortRow = serial.pcToToneRow([3, 4])
>>> shortRow.pitchClasses()
[3, 4]

If the row does have twelve notes (whether unique or not) the object returned is a TwelveToneRow:

>>> multiSetRow
<music21.serial.TwelveToneRow 111111111111>

Otherwise, it is simply a ToneRow:

>>> shortRow
<music21.serial.ToneRow 34>
music21.serial.rowToMatrix(p: list[int]) → str

Takes a list of numbers of converts it to a string representation of a 12-tone matrix.

>>> aMatrix = serial.rowToMatrix([0, 2, 11, 7, 8, 3, 9, 1, 4, 10, 6, 5])
>>> print(aMatrix)
  0  2 11  7  8  3  9  1  4 10  6  5
 10  0  9  5  6  1  7 11  2  8  4  3
  1  3  0  8  9  4 10  2  5 11  7  6
  5  7  4  0  1  8  2  6  9  3 11 10
  4  6  3 11  0  7  1  5  8  2 10  9
  9 11  8  4  5  0  6 10  1  7  3  2
  3  5  2 10 11  6  0  4  7  1  9  8
 11  1 10  6  7  2  8  0  3  9  5  4
  8 10  7  3  4 11  5  9  0  6  2  1
  2  4  1  9 10  5 11  3  6  0  8  7
  6  8  5  1  2  9  3  7 10  4  0 11
  7  9  6  2  3 10  4  8 11  5  1  0

This function survives today (2020) because it’s been an example function for music21 since the very first demonstrations of predecessors from around 2000 onwards. Nowadays, better to create a TwelveToneRow() object and then get a matrix from that:

>>> ttr = serial.TwelveToneRow([0, 2, 11, 7, 8, 3, 9, 1, 4, 10, 6, 5])
>>> matrix = ttr.matrix()
>>> print(matrix)
  0  2  B  7  8  3  9  1  4  A  6  5
  A  0  9  5  6  1  7  B  2  8  4  3
  1  3  0  8  9  4  A  2  5  B  7  6
  5  7  4  0  1  8  2  6  9  3  B  A
  4  6  3  B  0  7  1  5  8  2  A  9
  9  B  8  4  5  0  6  A  1  7  3  2
  3  5  2  A  B  6  0  4  7  1  9  8
  B  1  A  6  7  2  8  0  3  9  5  4
  8  A  7  3  4  B  5  9  0  6  2  1
  2  4  1  9  A  5  B  3  6  0  8  7
  6  8  5  1  2  9  3  7  A  4  0  B
  7  9  6  2  3  A  4  8  B  5  1  0
music21.serial.getHistoricalRowByName(rowName)

Given the name referring to a twelve-tone row used in the historical literature, returns a HistoricalTwelveToneRow object with attributes describing the row.

The names of the rows with stored attributes are below (each must be passed as a string, in single quotes).

>>> for r in sorted(list(serial.historicalDict)):
...     print(r)
BergChamberConcerto
BergDerWein
BergLulu
BergLuluActIIScene1
BergLuluActIScene20
BergLyricSuite
BergLyricSuitePerm
BergViolinConcerto
BergWozzeckPassacaglia
SchoenbergFragOrganSonata
SchoenbergFragPiano
SchoenbergFragPianoPhantasia
SchoenbergIsraelExists
SchoenbergJakobsleiter
SchoenbergMosesAron
SchoenbergOp23No5
SchoenbergOp24Mvmt4
SchoenbergOp24Mvmt5
SchoenbergOp25
SchoenbergOp26
SchoenbergOp27No1
SchoenbergOp27No2
SchoenbergOp27No3
SchoenbergOp27No4
SchoenbergOp28No1
SchoenbergOp28No3
SchoenbergOp29
SchoenbergOp30
SchoenbergOp31
SchoenbergOp32
SchoenbergOp33A
SchoenbergOp33B
SchoenbergOp34
SchoenbergOp35No1
SchoenbergOp35No2
SchoenbergOp35No3
SchoenbergOp35No5
SchoenbergOp36
SchoenbergOp37
SchoenbergOp41
SchoenbergOp42
SchoenbergOp44
SchoenbergOp45
SchoenbergOp46
SchoenbergOp47
SchoenbergOp48No1
SchoenbergOp48No2
SchoenbergOp48No3
SchoenbergOp50A
SchoenbergOp50B
SchoenbergOp50C
WebernOp17No2
WebernOp17No3
WebernOp18No1
WebernOp18No2
WebernOp18No3
WebernOp19No1
WebernOp19No2
WebernOp20
WebernOp21
WebernOp22
WebernOp23
WebernOp24
WebernOp25
WebernOp26
WebernOp27
WebernOp28
WebernOp29
WebernOp30
WebernOp31
WebernOpNo17No1

>>> web = serial.getHistoricalRowByName('WebernOp29')
>>> web.row
[3, 11, 2, 1, 5, 4, 7, 6, 10, 9, 0, 8]
>>> web.composer
'Webern'
>>> web.opus
'Op. 29'
>>> web.title
'Cantata I'
>>> web.isLinkChord()
False

NOTE: before v6, these rows had ‘Row’ in front of them, like ‘RowWebernOp29’ instead of ‘WebernOp29’. They can still be accessed by the old name.

>>> rowWeb = serial.getHistoricalRowByName('RowWebernOp29')
>>> rowWeb.row == web.row
True