rh SrSSKJr SSKrSSKrSSKJr SSKJr SSKJ r SSKJ r SSKJ r SS KJ r \R"S 5r"S S \ R5r"S S\ R"5r0SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_S SSS!/S"Q4_S#SS$S%/S&Q4_S'SS(S)/S*Q4_S+S,S-S./S/Q4_S0SS1S2/S3Q4_S4S,S5S6/S7Q4_S8SS9S:/S;Q4_S/S?Q4_S@SSSA/SBQ4_SCSSDSE/SFQ4_SGSSHSI/SJQ4_SKSSLSM/SNQ4_SOSSSP/SQQ4_0SRSSSS)/STQ4_SUSSVSW/SXQ4_SYSSZS[/S\Q4_S]SS^S_/S`Q4_SaSSbSc/SdQ4_SeSSSf/SgQ4_ShSSiSj/SkQ4_SlSSiSm/SnQ4_SoSSiSp/SqQ4_SrSSsSt/SuQ4_SvSSiSw/SxQ4_SySSSz/S{Q4_S|S,SS}/S~Q4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_E0SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SS,SS/SQ4_SSSS/SQ4_SS,SS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSsS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_E0SSSS/SQ4_SSSS/SQ4_SS,SS/SQ4_SS,SS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSsS/SQ4_SSSS/SQ4_SSSS/SQ4_SSSS/SQ4_SS,SS/SQ4_SSSS/SQ4_SSSGS/GSQ4_GSSSGS/GSQ4_GSS,SGS/GSQ4_ESGSGS /GS Q4SGS GS /GS Q4SGSGS/GSQ4GS.Er"GSGS\ R"5r"GSGS\5r"GSGS\5rGSrGSrGSGSjr"GSGS\R45r\\\\\\\/r\GS:XaSSKr\R<"\5 gg(a This module defines objects for defining and manipulating structures common to serial and/or twelve-tone music, including :class:`~music21.serial.ToneRow` subclasses. Serial searching methods that were previously here have been moved to :mod:`~music21.search.serial`. ) annotationsN)chord) environment) exceptions21)notepitch)streamserialc\rSrSrSrg)SerialException$N)__name__ __module__ __qualname____firstlineno____static_attributes__rH/home/james-whalen/.local/lib/python3.13/site-packages/music21/serial.pyr r $srr c2^\rSrSrSrSrU4SjrSrU=r$)TwelveToneMatrix)a An object representation of a 2-dimensional array of 12 pitches. Internal representation is as a :class:`~music21.stream.Stream`, which stores 12 Streams, each Stream a horizontal row of pitches in the matrix. This object is commonly used by calling the :meth:`~music21.stream.TwelveToneRow.matrix` method of :class:`~music21.stream.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) ']>' >>> fourthQuartetMatrix = serial.getHistoricalRowByName('SchoenbergOp37').matrix() >>> repr(fourthQuartetMatrix) ']>' c /nUHkn/nUH@nUR[URR5R S55 MB URSR U55 Mm SR U5$)z/ Return a string representation of the matrix.  )appendstrr pitchClassStringrjustjoin)selfretrowFormmsgns r__str__TwelveToneMatrix.__str__MslGC 3qww778>>qAB JJrwws| $  yy~rc>U(a/[US[5(a SUSS3$[TU] 5$[TU] 5$)Nrzfor []) isinstanceToneRowsuper _reprInternal)r# __class__s rr/TwelveToneMatrix._reprInternalYsF $q'7++tAwiq))w,..7(* *rr) rrrr__doc__r(r/r __classcell__r0s@rrr)s!F ++rr WebernOp29WebernzOp. 29z Cantata I) r  r WebernOp28zOp. 28zString Quartet) r9rrr8r=r<r;r:r?r@r7r>SchoenbergOp24Mvmt5 SchoenbergzOp. 24zSerenade, Mvt. 5, "Tanzscene") r?r>rrr;r=r:r<r@r7r9r8SchoenbergOp24Mvmt4zSerenade, Mvt. 4, "Sonett") r;r8rr7rr9r@r=r?r:r<r>SchoenbergJakobsleiterzDie Jakobsleiter) r9r8r:r;r@r<rrr7r>r=r?SchoenbergOp27No4z Op. 27 No. 4z#Four Pieces for Mixed Chorus, No. 4) r9rr>r=r@r;r7rr8r?r:r< WebernOp23zOp. 23z Three Songs) r@rr<r;r>r=r8r:r9rr?r7BergLuluActIIScene1BergzLulu, Act II, Scene 1z0Perm. (Every 5th Note Of Transposed Primary Row)) r>r<r9rr?r8r;r7r:r@rr=SchoenbergOp27No1z Op. 27 No. 1z#Four Pieces for Mixed Chorus, No. 1) r=r:r8r@r<r9rr;r>r?r7rBergLuluActIScene20zLulu, Act I , Scene XXz0Perm. (Every 7th Note Of Transposed Primary Row)) r>r=rr@r:r7r;r8r?rr9r<SchoenbergOp27No3z Op. 27 No. 3z#Four Pieces for Mixed Chorus, No. 3) r<r=r8r;r:rr7rr@r>r?r9SchoenbergOp27No2z Op. 27 No. 2z#Four Pieces for Mixed Chorus, No. 2) rr7r;r>r8r@rr<r=r:r?r9SchoenbergFragPianozFragment For Piano) r=r?rr<r9r8r@r7r:r>r;rSchoenbergOp50BzOp. 50Bz De Profundis) rr?r@r;r8r>r<r7rr=r:r9SchoenbergOp50CzOp. 50CzModern Psalms, The First Psalm) r;rrr@r7r<r:r?r=r>r9r8SchoenbergOp50AzOp. 50AzThree Times A Thousand Years) r<r?r=r;r:r7r>r8rr9rr@SchoenbergMosesAronzMoses And Aron) r?r>r;r8rr9r<r:r=r@r7r WebernOp25zOp. 25) r<r;rr=r9r:r8r7r>rr?r@SchoenbergOp23No5z Op. 23, No. 5zFive Piano Pieces) r9r?r7r<r@r=r>r8r;rrr:SchoenbergOp28No1z Op. 28 No. 1z%Three Satires for Mixed Chorus, No. 1) rr;r<r9r?r7r:rr8r=r@r>SchoenbergOp28No3z Op. 28 No. 3z%Three Satires for Mixed Chorus, No. 3) r:r=r;r@r8r>r<r?rr7r9r WebernOp21zOp. 21zChamber Symphony) r:r@r<r=r>r?rr;rr9r8r7SchoenbergIsraelExistszIsrael Exists Again) rrr;r?r7r:r8r9r>r@r=r<SchoenbergOp35No2zOp. 35z!Six Pieces for Male Chorus, No. 2) r=r?r<r9rr8r:r7r>rr;r@SchoenbergOp35No3z!Six Pieces for Male Chorus, No. 3) rr=r<r@r:rr?r>r;r7r8r9SchoenbergOp35No1z!Six Pieces for Male Chorus, No. 1) r8r7rr:r;r9r@r>r?r=rr<SchoenbergOp48No1zOp. 48zThree Songs, No. 1, "Sommermud") r9r8rr=rr:r;r>r7r<r?r@SchoenbergOp35No5z!Six Pieces for Male Chorus, No. 5) r9r<r>r8rr7r@r;rr=r:r?SchoenbergOp29Suite) rr<r=r>r8r7rr?r@r;r:r9BergLyricSuitePermz"Lyric Suite, Last Mvt. Permutation) r:r=r>r;r9r?r8r@r<rrr7 WebernOp20zOp. 20z String Trio) r@r<r8r9r=r:r?r>rr;rr7SchoenbergOp46zOp. 46zA Survivor From Warsaw) r=r<rr@r;rr7r>r:r?r9r8SchoenbergFragOrganSonatazFragment of Sonata For Organ) r9r<r7rr?r8r@r=r>r:rr;SchoenbergOp44zOp. 44z!Prelude To A Suite From "Genesis") r>r=r8r:r;rr7r@r9rr?r<SchoenbergOp45zOp. 45) r8r>rr?r;r9r7r@r=r<r:rSchoenbergOp33AzOp. 33AzTwo Piano Pieces, No. 1) r>r:rr7r?r=r9rr<r@r8r;SchoenbergOp25zOp.25zSuite for Piano) r;r:r<r9r=rr@r8r7rr?r>SchoenbergOp26zOp. 26z Wind Quintet) rr<r?r7r9rr>r8r;r=r@r:SchoenbergOp33BzOp. 33BzTwo Piano Pieces, No. 2) r7r9r:rr?r@r=r>r<r;rr8BergViolinConcertoz!Concerto For Violin And Orchestra) r<r>r8r=r?rr;r@r7r9rr: WebernOp22zOp. 22z2Quartet For Violin, Clarinet, Tenor Sax, And Piano) r=rr8r:r;r@r?r>r7r9r<rBergLuluzLulu: Primary Row) rr;r:r8r<r?r=r@r7r>rr9 WebernOp30zOp. 30zVariations For Orchestra) r?r>r9rr7r8rr=r:r;r<r@ WebernOp31zOp. 31z Cantata II) r=r?r:r;r@rr<r7r>r8r9rWebernOpNo17No1z Op. 17, No. 1z"Armer Sunder, Du") r7r>r:r=rr;r<r@r?rr9r8 WebernOp24zConcerto For Nine Instruments) r7r>r8rr<r=r@r;r:rr9r?SchoenbergOp48No2zThree Songs, No. 2, "Tot") r8rr?r9r>r;r@r<rr7r:r= WebernOp27zOp. 27zVariations For Piano) rr7r>r8r9rr=r;r<r:r?r@SchoenbergOp47zOp. 47zFantasy For Violin And Piano) r>r?r9r7r:r<rr;rr8r@r= WebernOp19No2z Op. 19, No. 2z"Ziehn Die Schafe") r@r;r?r=r<rr7r:rr8r>r9 WebernOp19No1z Op. 19, No. 1z"Weiss Wie Lilien") r<r>r=r:rr?r@r9r8r7r;r WebernOp26zDas Augenlicht) r@r>r?rr7rr;r9r:r8r=r<SchoenbergFragPianoPhantasiazFragment of Phantasia For Piano) r9r:rr=r;r@rr7r8r?r>r< BergDerWeinzDer Wein) r8r;r:r<r?r>r9r=r@rr7rBergWozzeckPassacagliaz%Wozzeck, Act I, Scene 4 "Passacaglia") rr7r<r9rr=r;r>r?r:r@r8 WebernOp18No1z Op. 18, No. 1z"Schatzerl Klein") rr7r:r@r>r?rr;r9r<r8r= WebernOp18No2z Op. 18, No. 2z "Erlosung") r=r?r:r@r;r<rr7r8r>r9r WebernOp18No3z Op. 18, No. 3z"Ave, Regina Coelorum") r;rr<r=r:r7r>r8r9rr?r@SchoenbergOp42zOp. 42z Concerto For Piano And Orchestra) rr>r8r:r;rr=r@r9r?r7r<SchoenbergOp48No3z!Three Songs, No, 3, "Madchenlied") r9r<r?r7rr:r>r=r;rr@r8SchoenbergOp37zOp. 37zFourth String Quartet) r8r9r?r>r:rr;rr@r<r=r7SchoenbergOp36zOp. 36z!Concerto for Violin and Orchestra) r?r>rr7r;r=rr9r<r@r8r:SchoenbergOp34zOp. 34zAccompaniment to a Film Scene) rr=r8r;r9rr?r7r>r@r:r<BergChamberConcertozChamber Concerto) r7r<r:r?r8rr=r@rr9r;r>SchoenbergOp32zOp. 32zVon Heute Auf Morgen) r8rr?r9r7r:r@r<r;rr>r=SchoenbergOp31zVariations for Orchestra) r>r;r=rr:r?r8r9r<r@r7rSchoenbergOp30zThird String Quartet) r<r;rr?rr:r=r7r>r9r@r8BergLyricSuitezLyric Suite Primary Row) r:r;rr?r<r8r@r9rr=r>r7zOp. 41zOde To Napoleon) r9rr;r:r?r@rr8r=r<r7r>z Op. 17, No. 3z"Heiland, Unsere Missetaten...") r@r:r;rr<r=rr9r8r7r>r?z Op. 17, No. 2z"Liebste Jungfrau") r9rr7r<r@r8rr=r:r;r?r>)SchoenbergOp41 WebernOp17No3 WebernOp17No2c^\rSrSr%SrSS0rS\S'/SQrSU4SjjrU4S jr S r S r S r S r SrSrSrSSjrSSjrSrSrU=r$)r-a 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 Unless (like a Stream), the id is set: >>> toneRow.id = 'retrograde_jungfrau' >>> toneRow 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 >>> len(rcsRow) 10 rowz6A list representing the pitch class values of the row.dict[str, str] _DOC_ATTR) pitchClasses noteNamesisTwelveToneRow isSameRowgetIntervalsAsStringzeroCenteredTransformationoriginalCenteredTransformationfindZeroCenteredTransformations#findOriginalCenteredTransformationsc >[TU]"S0UD6 UbXlO/UlURHn[U[R [ R45(d[R "U5n[U[ R5(d[ R"US9nOUnSURlURU5 M g)Nrr) r.__init__rr,r PitchrNoteoctaver)r#rkeywordspcr'r0s rrToneRow.__init__$s $8$ ?HDH((Bb5;; ":;;[[_b$)),,IIB'!AGGN KKNrc>[TU]5nURS5(dU$SRSU55$)N0xrc3L# UHoRRv M g7fN)r r ).0r's r (ToneRow._reprInternal..<s>Aww//s"$)r.r/ startswithr")r# superInternalr0s rr/ToneRow._reprInternal7s<-/ ''-- ww>>>>rcZUVs/sHoRRPM nnU$s snf)a Convenience function showing the pitch classes of a :class:`~music21.serial.ToneRow` as a list. >>> fiveFold = [5 * i for i in range(12)] >>> fiveFold [0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55] >>> quintupleRow = serial.pcToToneRow(fiveFold) >>> quintupleRow >>> quintupleRow.pitchClasses() [0, 5, 10, 3, 8, 1, 6, 11, 4, 9, 2, 7] >>> halfStep = serial.pcToToneRow([0, 1]) >>> halfStep.pitchClasses() [0, 1] )r pitchClass)r#r' pitchLists rrToneRow.pitchClasses>s+&266AWW'' 67s(cFUVs/sHoRPM nnU$s snf)a7 Convenience function showing the note names of a :class:`~music21.serial.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#'] )name)r#pnoteLists rrToneRow.noteNamesTs$%))DqFFD)*scUR5n[U5S:wagSn[S5H nX1;dM SnM U$)a Describes whether a :class:`~music21.serial.ToneRow` constitutes a twelve-tone row. Note that a :class:`~music21.serial.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 FT)rlenrange)r#rtempis rrToneRow.isTwelveToneRowdsF%%' y>R D2Y% DKrcUR5n[5nUH[n[R"5nSURlX4R lSUR lURU5 M] U$)a Convenience function returning a :class:`~music21.serial.TwelveToneRow` with the same pitches. Note that a :class:`~music21.serial.ToneRow` may be created without being a true twelve tone row. >>> r1 = serial.pcToToneRow(range(11)) >>> type(r1) >>> n = note.Note() >>> n.pitch.pitchClass = 11 >>> r1.append(n) >>> r2 = r1.makeTwelveToneRow() >>> type(r2) N) r TwelveToneRowrrduration quarterLengthr rrr)r#pcSetathisPcr's rmakeTwelveToneRowToneRow.makeTwelveToneRow{sa$!!# OF A'*AJJ $!'GG !AGGN HHQK  rc[U5[U5:wag[X5H5up#URRURR:wdM5 g g)a 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 FT)rzipr r)r#otherselfTone otherTones rrToneRow.isSameRowsM t9E "#&t#3 H~~((IOO,F,FF$4rc[U5nUR5nSn[US- 5HGnX$S-X$- S-nU[S5;aU[U5-nUS:XaUS-nUS:XdMBUS-nMI U$)aR Returns the string of intervals between consecutive pitch classes of a :class:`~music21.serial.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' rr9rr>Tr7E)rrrr)r# numPitchesrintervalStringrintervals rrToneRow.getIntervalsAsStringsY %%' zA~&A!a%(9<72=H59$!/#h-!?2~!/#!52~!/#!5'rcz[U5nUR5n[U5U:wa [S5eUSn/nUS;a1[ U5H!nXGU- U-S-nUR U5 M# OUS:Xa0[ U5H nX%-XG- S-nUR U5 M" OUS:Xa7[ U5H'nX$US- U- -U- S-nUR U5 M) OKUS:Xa7[ U5H'nX$US- U- - U-S-nUR U5 M) O[S U35e[ U5$) a Returns a :class:`~music21.serial.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'] z%Transformation must be by an integer.rPrrIRr9RIzInvalid transformation type: )rrintr rr pcToToneRow) r#transformationTypeindexrr firstPitchtransformedPitchListrnewPitchs rr"ToneRow.zeroCenteredTransformationsk:Y %%' u: !"IJ Jq\ !  +:&%L:5=C$++H5' 3 &:&!.=C$++H5' 3 &:&!j1nq.@$AAJNRTT$++H5' 4 ':&!j1nq.@$AAJNRTT$++H5'"$ABTAU"VW W/00rcUR5nUSnXB-S-nUS;aURSU5$URX5$)a Returns a :class:`~music21.serial.ToneRow` giving a transformation of a tone row. Admissible transformations are 'T' (transposition), 'I' (inversion), 'R' (retrograde), and 'RI' (retrograde inversion). In the "original-centered" convention, which is less common than the "zero-centered" convention, the original row is not initially transposed to start on the pitch class 0. Thus, the transformation Tn transposes the original row up by n semitones, and the transformations In, Rn, and RIn first transform the row appropriately (without transposition), then transpose the resulting row by n semitones. >>> chromatic = serial.pcToToneRow(range(12)) >>> chromatic.pitchClasses() [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11] >>> chromaticP3 = chromatic.originalCenteredTransformation('T',3) >>> chromaticP3.pitchClasses() [3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2] >>> chromaticI6 = chromatic.originalCenteredTransformation('I',6) >>> chromaticI6.pitchClasses() [6, 5, 4, 3, 2, 1, 0, 11, 10, 9, 8, 7] >>> schoenberg = serial.getHistoricalRowByName('SchoenbergOp26') >>> schoenberg.pitchClasses() [3, 7, 9, 11, 1, 0, 10, 2, 4, 6, 8, 5] >>> schoenbergR8 = schoenberg.originalCenteredTransformation('R',8) >>> schoenbergR8.pitchClasses() [1, 4, 2, 0, 10, 6, 8, 9, 7, 5, 3, 11] >>> schoenbergRI9 = schoenberg.originalCenteredTransformation('RI',9) >>> schoenbergRI9.noteNames() ['B-', 'G', 'A', 'B', 'C#', 'F', 'E-', 'D', 'E', 'F#', 'G#', 'C'] rrrr)rr)r#rrrrnewIndexs rr&ToneRow.originalCenteredTransformationsVB%%' q\ &",  +223A A../ALLrc0[U5[U5:wagUR5n/nUSnUSnX RSU5R5:XaSU4nURU5 X RSU5R5:XaSU4nURU5 X RSU5R5:XaSU4nURU5 X RSU5R5:XaSU4nURU5 U$)a Gives the list of zero-centered serial transformations taking one :class:`~music21.serial.ToneRow` to another, the second specified in the argument. Each transformation is given as a tuple of the transformation type and index. See :meth:`~music21.serial.ToneRow.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)] Frrrrr)rrrr)r#otherRowotherRowPitchestransformationListr lastPitchtransformations rr'ToneRow.findZeroCenteredTransformations*s0 t9H %"//1$Q' #B' ==c:N[[] ] *_N  % %n 5 ==c:N[[] ] *_N  % %n 5 ==c9MZZ\ \ )^N  % %n 5 ==dIN[[] ]!9_N  % %n 5!!rc0UR5nUR5n/nUSnUSnUSnXu- S-nXv- S-n USU-- U-S-n URn X;"SU5R5:XaSU4n URU 5 X;"SU5R5:XaSU4n URU 5 X;"SU 5R5:XaSU 4n URU 5 X;"SU 5R5:XaSU 4n URU 5 U$) a Gives the list of original-centered serial transformations taking one :class:`~music21.serial.ToneRow` to another, the second specified in the argument. Each transformation is given as a tuple of the transformation type and index. See :meth:`~music21.serial.ToneRow.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)] rrrr8rrrr)rrr) r#roriginalRowPitchesrr oldFirstPitch oldLastPitch newFirstPitchtiPitchrPitchriPitchocTransrs rr+ToneRow.findOriginalCenteredTransformationsYsM."..0"//1*1- )"- '* !0B6 ."4!A $56EK55 gc73@@B B!7^N  % %n 5 gc73@@B B!7^N  % %n 5 gc62??A A!6]N  % %n 5 gdG4AAC C"G_N  % %n 5!!r)rr)rrrr)returnzt.Union[bool, list[t.Any]])rrrrr2r__annotations__ _DOC_ORDERrr/rrrrrrrrrrrr3r4s@rr-r-sk< G!I~\J &?, .8,671r'MR-"^7"7"rr-cj\rSrSrSr/SQrSrSrSrS Sjr Sr S S jr SS jr S r g )rizV A Stream representation of a twelve-tone row, capable of producing a 12-tone matrix. )matrix isAllIntervalgetLinkClassification isLinkChordareCombinatorialc UR[R5nUVs/sHnSURR- S-PM! nnUVVs/sH.oAVs/sHo"RRU-S-PM snPM0 nnn[ 5nSnUHnUS- nUR 5nURU5 S[U5-Ul UH[n [R"5n SU Rl XRlSU Rl URU 5 M] URSU5 M U$s snfs snfs snnf)az Returns a :class:`~music21.serial.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'] rrr9zrow-rN)getElementsByClassrrr rrr0mergeAttributesridrrrrinsert) r#rxrtransr matrixObjr rowObjectrr's rrTwelveToneRow.matrixs).**49955= >Xb177%%% +X >UVWUVEhGhGG&&."4hGUVW$& C FA(I  % %d +!CF?ILIIK+. (%&"!%  #    Q * + ?GWs&E  E%E ?EEc/n[H5nUR[U55(dM$URU5 M7 U$)a Checks if a given :class:`music21.serial.TwelveToneRow` is the same as any of the historical twelve-tone rows stored by music21: see :func:`music21.serial.getHistoricalRowByName`. Returns a list of names of historical rows to which the input row is identical. >>> row = serial.pcToToneRow([2, 3, 9, 1, 11, 5, 8, 7, 4, 0, 10, 6]) >>> row.findHistorical() ['SchoenbergOp32'] >>> chromatic = serial.pcToToneRow(range(12)) >>> chromatic.findHistorical() [] )historicalDictrgetHistoricalRowByNamer)r#sameRows historicalRows rfindHistoricalTwelveToneRow.findHistoricals;+M~~4]CDD .,rcH/nUS:XaD[H8n[U5RU5nU(dM&URX445 M: U$US:XaF[H:n[U5nUR U5nU(dM(URX445 M< U$[ S5e)a Checks if a given :class:`music21.serial.TwelveToneRow` is a transformation of any historical twelve-tone row stored by music21 (see :func:`music21.serial.getHistoricalRowByName`). Returns a list of tuples, the tuple consisting of the name of a historical row, and a list of transformations relating the input row to the historical row. The convention for serial transformations must also be specified as 'zero' or 'original', as explained in :meth:`~music21.serial.ToneRow.findZeroCenteredTransformations` and :meth:`~music21.serial.ToneRow.findOriginalCenteredTransformations`. >>> row = serial.pcToToneRow([5, 9, 11, 3, 6, 7, 4, 10, 0, 8, 2, 1]) >>> row.findTransformedHistorical('original') [('SchoenbergOp32', [('R', 11)])] zerooriginalz1Invalid convention - choose 'zero' or 'original'.)rr rrrr )r# conventionr r rhistoricalRowObjects rfindTransformedHistorical'TwelveToneRow.findTransformedHistoricals&  !/ .}=]]^bc5OO]$:;"0O  #!/ &<]&K#+OOPTU5OO]$:; "0 O!"UV VrcUR5SLa [S5eSnUR5n[SS5Hn[ U5U;dMSnM SU;aSnSU;aSnU$)a Describes whether a :class:`~music21.serial.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 Fz.An all-interval row must be a twelve-tone row.Tr9r>rr)rr rrr)r#tempAllIntervalrrs rrTwelveToneRow.isAllIntervalsw    !U *!"RS S224q"A1v^+"' n $#O n $#Orc/SQn/SQn/SQn[U5nUR5SLa [S5eUURSS5URSS5URS S5/n/nS nUHFnUR 5n [ U5H$n XU :XdM X:nUR X*5 M& MH U(dS /4$Xv4$) a 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']) ) 125634T97E8 134E78526T9 134E79T6258r 1367T89E254 137E542896T 137E982456T 142965837ET 142973856ET 1429738E65T 14297TE6853 145638E729T 1456T729E83 1456T982E73 145927E836T 14598E63T72 14689T7E253 1469E27T853 149278356ET 1492783E65T 1496258T73E 1496E358T72 14972836E5T 14972E6385T 1497T853E62 14E379T6528 14E6T783529 172E6853T94 17356ET8294 1738T542E69 173E65T8294 1763T4952E8 176852E34T9 179236E8T54r9 17923E685T4 179245T8E63 17924T586E3 179T65234E8 179T8E63254r> 1825E43796Tr? 1825E79T364r@ 1852E43769T 1852E79463T 185629TE743 18563479TE2 18563E7T492 18734E5296TrF 187E259436TrG 18T352E7964 18T497E3562 18T97E52364rJ 18E63T79452rK 19476538TE2 1947T8536E2 1954763T8E2 19742538E6T 197425T6E83 1974T8E6352 197T8532E64 1T5E7928364 1T63E874259 1T6E3852479 1T8352E4679 1T974253E68 214367TE985 214376598ETrY 2143E86597T 2149586E37T 214976538ETr\ 216734ET985 216743E9T85 217634TE985 21T8E956347 21T96583E47 234T1596E87 235189E647Trc 23689E7T145 236E981547Tre 23T514697E8 2513647ET98 25189TE7463rh 2546E981T73 25691T8E473 2569E8T1437 258T73E6149 258T9614E37 25T31496E87 25T89E61437 2618T497E35 26347ET9185 263891T7E45rr 2653E718T49 2654T1783E9rt 2654E3871T9ru 2654E7T1983rv 265819TE743 2659E8T1347 267431T8E95 2694T817E35 269T1783E45r{ 269E3871T45r| 26E451T7389r} 26E459817T3r~ 26E4T718953r 26E873T5149 26E95134T87 26E95178T43 274316E985Tr 2743E86591T 274916E385Tr 2749586E31T 276134ET985 276143E9T85 27E34169T85 2965387E41Tr 296E387T145 29TE7436185 29TE7463158 29E7835641Tr 2E431T96587r 2E465387T19 2E637T85419 2E783T51469r 2E796415T38 2E8T1956743 2E9658T4137 3142E8956T7 3142ET79685 31456T972E8 314672E9T85 3152689TE74r 3152E9T8764 3158629TE74r 316452E98T7 317ET562894 317ET926854 317ET986254 319765T42E8 3198265TE74 31T524796E8 31T567942E8 31T7E294685 325E79T8164r 3265981TE74 329E71T4568r 32E981T6547 347621T8E95 3479TE26185 34T9E712568 35146T927E8r 351T64927E8r 351T7924E68 35216E98T74 3521T8E9674 3581629ET74 3594T6127E8 359E6128T74 35E7216T498 35E72946T18 35E729T6418 3625189TE74r 36524ET8917 3674218T9E5 36T154927E8r 3764128T9E5 38297E5T164 38E729T6145 3T17E924568r 3T4952E8617 3T6194527E8 3T62E815497 3T97E528164r 3E2418596T7 3E7T4926185 416352E7T98 41T629E7835r 4328T56E917 4328TE65917 43T9E865217 463152E9T87 46529E8T137 46731T8E925 4692E513T87r 46982315ET7 469T315E287r 4769E251T38 4783T1629E5 47T198236E5 47E928361T5 4T1629E3785 4TE86592317 4E2538T1697 4E29658T317r 4ET85692317r 5896T142E37)25634134E7rE79T689E257E5427E98229658856ET8E65TE68538E729729E8982E7927E88E63T7E2537T85378356783E658T73358T72836E2E638r79T6578352r56ET842E69E65T84952E52E34236E836E8T3E685T8E63586E3rr8E63225E435E43725E795E79TE4376E79469TE74479TEE7T49734E534E5287E25E2594352E7T497ET97E597E52rT794576538r4763T97425rrr5E79274259524798352Er4367T4376576598E8659r49765r6734E216747634T1T8E9T965834T155189E189E6689E76E981E98153T51447ET925189rr&91T8E9E8T1rT96145T31489E61r r)891T71T7E4E718TT17831783EE38713871T4E7T17T198rr,r T817Er3r4r5r6451T71T738598179817TT718971895r(5134T5178T4316E16E98r4916E16E38r6134E276144169T653875387E6E387rrE7835rE431Tr!rI37T852E783r(415T3E8T199658T3142ErS56T973146752689r152E958629r52E98562899268598625765T498265r5679431T7Err6598129E719E71T2E981r rT9E71146T9r1T649r51T79rCr 1629E94T61E612816T49946T19T641r*r3652436742T1549r37641297E5rT17E917E92r6194515497rr3E241rr 629E7rL8T56E8TE659E865rWr,r 2E513E513T2315ET315E315E29E251rir88361TrirE2538rrRT856985692142E3)r9r8rrr;r:r=r<r@r?r>r7r  !r"#r%&r'r(rr*+,-.r/r012r3r456789:;<=>?@ArBCDrEFGHIJKrLMrNOPrQRSTUVWXYZr[\r]r^r_`abcrdrerfrgrhijkrlmrnopqrrstuvrwrxyzr{|}~rrrr rrrrr r$r(r/r1r9r:Fz'A Link Chord must be a twelve-tone row.rrrrN)rrr rrrr) r#fullLinkIntervalsspecialLinkIntervalslinkClassification numChords rowChecklistspecialIntervalsclassificationr intervalsrs rr#TwelveToneRow.getLinkClassification"sD;;x" KF*V)*    !U *!"KL L77Q?77Q?77a@B C002I9%$'94%7%:N$++,@,CD&  8O!3 3rc2UR5nUScgg)a Describes whether a :class:`~music21.serial.TwelveToneRow` is a Link Chord. >>> bergLyric = serial.getHistoricalRowByName('BergLyricSuite') >>> bergLyric.pitchClasses() [5, 4, 0, 9, 7, 2, 8, 1, 3, 6, 10, 11] >>> bergLyric.isAllInterval() True >>> bergLyric.isLinkChord() False >>> link = serial.pcToToneRow([0, 3, 8, 2, 10, 11, 9, 4, 1, 5, 7, 6]) >>> link.isLinkChord() True >>> doubleLink = serial.pcToToneRow([0, 1, 8, 5, 7, 10, 4, 3, 11, 9, 2, 6]) >>> doubleLink.isLinkChord() True rFT)r)r# linkTuples rrTwelveToneRow.isLinkChords"$..0 Q< rc UR5SLa [S5eURX5nURX45nUR5nUR5nUSSUSS-n [ U 5R5$)a  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. Fz2Combinatoriality applies only to twelve-tone rows.Nr=)rr rrr) r# transType1index1 transType2index2trans1trans2pitches1pitches2testRows rrTwelveToneRow.areCombinatorialsT    !U *!"VW W00D00D&&(&&(2A,"1-7#3355rrN)rbool) rIrrJrrKrrLrrrS)rrrrr2rrr rrrrrrrrrrrseNJ.`("WH<@4D056%(56!$56&)56"% 56*. 56rrc^\rSrSr%SrSSSS.rS\S'S rS \S 'S rS \S 'S r S \S 'SSU4Sjjjr U4Sjr Sr Sr U=r$)HistoricalTwelveToneRowi4z Subclass of :class:`~music21.serial.TwelveToneRow` storing additional attributes of a twelve-tone row used in the historical literature. z,The name of the composer, or None. (String)z(The opus of the work, or None. (String)z)The title of the work, or None. (String)composeropustitlerrN None | strrWrXrYc L>[TU]"U40UD6 XlX lX0lgr)r.rrWrXrY)r#rWrXrYrrr0s rr HistoricalTwelveToneRow.__init__Cs& ))   rc>[TU]U5 [U[5(dgURUlUR UlUR Ulgr)r.rr,rUrWrXrY)r#rr0s rr'HistoricalTwelveToneRow.mergeAttributesNsB &%!899  JJ [[ rcRURSURSUR3$)N rV)r#s rr/%HistoricalTwelveToneRow._reprInternalVs%--$))Adjj\::r)NNNN)rWrZrXrZrYrZ)rrrrr2rrrWrXrYrrr/rr3r4s@rrUrU4s C:<!I~ HhD(E8'+"&#' #  !  !;;rrUcURS5(aUSSnU[;a%[Un[USUSUSUS5nU$[S5e)a Given the name referring to a twelve-tone row used in the historical literature, returns a :class:`~music21.serial.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 RowrNrr9r8z'No historical row with given name found)rrrUr )rowNameattrrowObjs rr r ZsdN%  !"+. g&(a$q'47DGL GHHrc[U5S:Xa [5nO [5nUHJn[R"5nX#R lSUR lURU5 ML U$)a A convenience function that, given a list of pitch classes represented as integers and turns it in to a :class:`~music21.serial.ToneRow` object. >>> chromaticRow = serial.pcToToneRow([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]) >>> chromaticRow.show('text') {0.0} {1.0} {2.0} {3.0} {4.0} {5.0} {6.0} {7.0} {8.0} {9.0} {10.0} {11.0} >>> matrixObj = chromaticRow.matrix() >>> print(matrixObj) 0 1 2 3 4 5 6 7 8 9 A B B 0 1 2 3 4 5 6 7 8 9 A ... >>> fancyRow = serial.pcToToneRow([4, 5, 0, 6, 7, 2, 'a', 8, 9, 1, 'b', 3]) >>> matrixObj = fancyRow.matrix() >>> print(matrixObj) 0 1 8 2 3 A 6 4 5 9 7 B B 0 7 1 2 9 5 3 4 8 6 A ... Note that the Row does not have to be a valid row to exist: >>> multiSetRow = serial.pcToToneRow([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]) >>> multiSetRow.pitchClasses() [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] Or even have 12 notes: >>> shortRow = serial.pcToToneRow([3, 4]) >>> shortRow.pitchClasses() [3, 4] If the row does have twelve notes (whether unique or not) the object returned is a `TwelveToneRow`: >>> multiSetRow Otherwise, it is simply a `ToneRow`: >>> shortRow rN) rrr-rrr rrr)rrrr's rrrs[p 5zR O I IIK#   Hrc UVs/sH nSU- S-PM nnUVVs/sHo0Vs/sH oU-S-PM snPM nnn/nUHWn/nUH,nUR[U5RS55 M. URSRU55 MY SRU5$s snfs snfs snnf)a 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 rrrr)rrr!r") rrrrrr$rr&thisPCs r rowToMatrixrjsV!""1"q&BA"9: ;+AE R+F ; CF JJs6{((+ , 2773<  99S> #+ ;sB2 B<B7 B<7B<c8\rSrSrSrSrSrSrSrSr Sr g ) TestiLc"[S5nURUVs/sHo"RPM sn/SQ5 [S5R5nUSnURUVs/sHoURPM sn/SQ5 gs snfs snf)Nr) DC#AB-FE-rCG#GF#Br) rtrxrvrursrornrqrwrrrrp)r  assertEqualrr)r#srcrs37r0es r testMatrixTest.testMatrixNs~$%56 #.#Q&&#.Z \$%56==? 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