rhT(SSKJr SSKrSSKJr SSKJr SSKJr SSKJr "SS\RR5r \ RS \ RS \ RS \ RS \ RS \ R S\ R"S\ R$S\ R&S\ R(S\ R*S0 r\ R.S\ R0S\ R2S\ R4S\ R6S\ R8S\ R:S0r0\E\Er\ R.S\ R0S\ R2S\ R4S\ R6S\ R8S\ R:S0r0\E\ErS S!Sjjr S"S#Sjjr!"SS\RD5r#\$S:XaSSKr\RJ"\#5 gg)$) annotationsN)common)key)roman)scalec\\rSrSrSrSrSrSrSrSr Sr S r S r S r S rS rSrSrSrSrSrSrSrg)HarmonicFunctionTTpTgttPtGSSpSgssPsGDDpDgddPdGN)__name__ __module__ __qualname____firstlineno__ TONIC_MAJORTONIC_MAJOR_PARALLELKLANG_MINORTONIC_MAJOR_GEGENKLANG_MINOR TONIC_MINORTONIC_MINOR_PARALLELKLANG_MAJORTONIC_MINOR_GEGENKLANG_MAJORSUBDOMINANT_MAJOR%SUBDOMINANT_MAJOR_PARALLELKLANG_MINOR"SUBDOMINANT_MAJOR_GEGENKLANG_MINORSUBDOMINANT_MINOR%SUBDOMINANT_MINOR_PARALLELKLANG_MAJOR"SUBDOMINANT_MINOR_GEGENKLANG_MAJORDOMINANT_MAJOR"DOMINANT_MAJOR_PARALLELKLANG_MINORDOMINANT_MAJOR_GEGENKLANG_MINORDOMINANT_MINOR"DOMINANT_MINOR_PARALLELKLANG_MAJORDOMINANT_MINOR_GEGENKLANG_MAJOR__static_attributes__r[/home/james-whalen/.local/lib/python3.13/site-packages/music21/analysis/harmonicFunction.pyr r sjK&*##' K&*##' ,0))-&,0))-&N)-&&*#N)-&&*#r5r IibIIiiIVivVvvibviibIIIiiibVIbVIIIIIz#iiiVIVIIc$[U[5(a[R"U5n[n[U[R5(aUR S:Xa[ nX n[R"X15$![a gf=f)u[ Takes harmonic function labels (such as 'T' for major tonic) with a key (keyOrScale, default = 'C') and returns the corresponding :class:`~music21.roman.RomanNumeral` object. >>> analysis.harmonicFunction.functionToRoman('T') The harmonicFunction argument can be a string (as shown), though strictly speaking, it's handled through a special HarmonicFunction enum object. >>> fn = analysis.harmonicFunction.HarmonicFunction.TONIC_MAJOR >>> str(fn) 'T' >>> analysis.harmonicFunction.functionToRoman(fn).figure 'I' As with Roman numerals, this is case sensitive. For instance, 't' indicates a minor tonic as distinct from the major tonic, 'T'. >>> analysis.harmonicFunction.functionToRoman('t').figure 'i' There are 18 main functional labels supported in all, for the three functional categories (T for tonic, S for subdominant, and D for dominant) and three relevant transformation types (none, P, and G) all in upper and lower case (for major/minor): T, Tp, Tg, t, tP, tG, S, Sp, Sg, s, sP, sG, D, Dp, Dg, d, dP, dG. Note that this module uses terminology from modern German music theory where Functional notation ('HarmonicFunctionstheorie') is typically used throughout the curriculum in preference over Roman numerals ('Stufentheorie'). First, note the false friend: here 'P' for 'Parallel' connects a major triad with the minor triad a minor third below (e.g. C-a). (in English-speaking traditions this would usually be 'relative'). Second, note that this module uses 'G' (and 'g'), standing for 'Gegenklänge' or 'Gegenparallelen'. 'L' (and 'l') for Leittonwechselklänge is equivalent to this. (Again, 'G' is more common in modern German-language music theory). Use the keyOrScale argement to specify a key. This makes a difference where 6th and 7th degrees of minor are involved. >>> analysis.harmonicFunction.functionToRoman('sP', keyOrScale='C').figure 'bVI' >>> analysis.harmonicFunction.functionToRoman('sP', keyOrScale='a').figure 'VI' Some of the 18 main functions overlap, with two functional labels referring to the same Roman numeral figure. For instance both 'Tg' and 'Dp' simply map to 'iii': >>> analysis.harmonicFunction.functionToRoman('Tp').figure 'vi' >>> analysis.harmonicFunction.functionToRoman('Sg').figure 'vi' The reverse operation is handled by the complementary :func:`~music21.analysis.harmonicFunction.romanToFunction`. In this case, :func:`~music21.analysis.harmonicFunction.romanToFunction` follows the convention of preferring the P-version over alternatives. >>> rn = roman.RomanNumeral('vi') >>> str(analysis.harmonicFunction.romanToFunction(rn)) 'Tp' minorN) isinstancestrrKeyfunctionFigureTuplesMajormodefunctionFigureTuplesMinorKeyErrorr RomanNumeral)thisHarmonicFunction keyOrScalereferenceTuplesfigures r6functionToRomanrVhsz`*c""WWZ( /O*cgg&&:??g+E3 6   f 11 s(B BBc [nUR(a URRS:Xa[nUR 5H9up4UR U:XdMU(a[ [U5S5s $Us $ g)a Takes a Roman numeral and returns a corresponding harmonic function label. >>> rn1 = roman.RomanNumeral('VI', 'a') >>> fn1 = analysis.harmonicFunction.romanToFunction(rn1) >>> fn1 This can be converted into a string: >>> str(fn1) 'sP' Optionally, set onlyHauptHarmonicFunction to True to return a simplified version with only the HauptHarmonicFunction (one of t, T, s, S, d, D: major and minor forms of the tonic, subdominant and dominant). >>> fn1 = analysis.harmonicFunction.romanToFunction(rn1, onlyHauptHarmonicFunction=True) >>> fn1 >>> str(fn1) 's' Inversions are not currently considered (they may be in a future version of this). This function simply uses the romanNumeral attribute of the roman.RomanNumeral object. This excludes inversions, but includes, where applicable, the frontAlterationAccidental.modifier. >>> rn2 = roman.RomanNumeral('bII6', 'g') >>> fn2 = analysis.harmonicFunction.romanToFunction(rn2) >>> fn2 >>> str(fn2) 'sG' See further notes on the complementary :func:`~music21.analysis.harmonicFunction.functionToRoman`. rIrN)rMrrNrOitems romanNumeralr rK)rnonlyHauptHarmonicFunctionrTthisKey thisValues r6romanToFunctionr^shX0O vv 66;;' !7O-335 ??i '('G Q88 6 r5c,\rSrSrSrSrSrSrSrg)Testic[Hn[U5 M [Hn[U5 M SnUR[[U5 g)z Test that all the entries in the functionFigureTuples (both major and minor) are represented in the HarmonicFunction enum. Also tests one fake (invalid) function label. TPGN)rMr rO assertRaises ValueError)selfrR fakeExamples r6testAllFunctionLabelsInEnum Test.testAllFunctionLabelsInEnumsF%> 1 2%>$= 1 2%>  *&6 Dr5cjUR[[R5RS5 g)Nr7) assertEqualrVr r"rUres r6testFunctionToRomanTest.testFunctionToRomans$ )9)E)EFMMsSr5cH[R"SS5n[U5nURU[R 5 UR [U5S5 [USS9nURU[R5 UR [U5S5 g)NrEfrT)r[r) rrQr^assertIsr r&rjrKr%)rerZfn1fn2s r6testSimplifiedTest.testSimplifieds|   s +b! c+KKL S4(bDA c+778 S3'r5cbUR[[R"S55S5 g)Ni6r)rjr^rrQrks r6testIgnoresInversionTest.testIgnoresInversion"s" ););D)ABCHr5rN) rrr r!rgrlrsrwr4rr5r6r`r`sE"T (Ir5r`__main__)C)rRr rSz#key.Key | scale.ConcreteScale | strreturnzroman.RomanNumeral | None)F)rZzroman.RomanNumeralr[boolr{zHarmonicFunction | None)& __future__runittestmusic21rrrrenumsStrEnumr r"r%r-r)r(r+r.r1r#r*r0_functionFigureTuplesKeyNeutralr&r3r/r$r,r'r2rMrOrVr^TestCaser`rmainTestrr5r6rs#+v||+++6  #  #77::D&&&&##S##S44d7744f##*44f44f77115::E11577 % 44e44e77116::D11477 %CF[2 ?[20[2~7<8/38.8x!I8  !IJ z Tr5