English Wikipedia @ Freddythechick

List of set classes

(Redirected from List of pitch-class sets)

This is a list of set classes, by Forte number.[1] A set class (an abbreviation of pitch-class-set class) in music theory is an ascending collection of pitch classes, transposed to begin at zero. For a list of ordered collections, see: list of tone rows and series.

Set 3-1 has three possible versions: [01112T], [011TE1], and [0TT1E1], where the subscripts indicate adjacency intervals. The normal form is the smallest "slice of pie" (shaded) or most compact form, in this case: [01112T].

Sets are listed with links to their complements. The prime form of unsymmetrical sets is marked "A". Inversions are marked "B" (sets not marked "A" or "B" are symmetrical). "T" and "E" are conventionally used in sets to notate ten and eleven, respectively, as single characters. The ordering of sets in the lists is based on the string of numerals in the interval vector treated as an integer, decreasing in value, following the strategy used by Forte in constructing his numbering system. Numbers marked with a "Z" refer to a pair of sets with identical interval class content, with one of the pair listed at the end of the respective list when they occur. [The "Z" derives from the prefix "zygo"—from the ancient Greek, meaning yoked or paired. Hence: zygosets.]

There are two slightly different methods of obtaining the prime form—an earlier one due to Allen Forte and a later (and generally now more popular) one devised by John Rahn—both often confusingly described as "most packed to the left". However, a more precise description of the Rahn spelling is to select the version that is most dispersed from the right. The precise description of the Forte spelling is to select the version that is most packed to the left within the smallest span. [a] This results in two different prime form sets for the same Forte number in a number of cases. The lists here use the Rahn spelling. The alternative notations for those set classes where the Forte spelling differs are listed in the footnotes.[3][4]

Elliott Carter had earlier (1960–67) produced a numbered listing of pitch class sets, or "chords", as Carter referred to them, for his own use.[5][6] Donald Martino had produced tables of hexachords, tetrachords, trichords, and pentachords for combinatoriality in his article, "The Source Set and its Aggregate Formations" (1961).[7]

The difference between the interval vector of a set and that of its complement is <X, X, X, X, X, X/2>, where (in base-ten) X = 12 – 2C, and C is the cardinality of the smaller set. In nearly all cases, complements of unsymmetrical sets are inversionally related—i.e. the complement of an "A" version of a set of cardinality C is (usually) the "B" version of the respective set of cardinality 12 – C. The most significant exceptions are the sets 4-14/8-14, 5-11/7-11, and 6-14, which are all closely related in terms of subset/superset structure.

List

Forte no. Prime form Interval vector Carter no. Audio Possible spacings Complement
0-1 [] <0,0,0,0,0,0> empty set 12-1
1-1 [0] <0,0,0,0,0,0> <phonos file="Unison on C.mid">Play</phonos> PU, P8 11-1
2-1 [0,1] <1,0,0,0,0,0> 1 <phonos file="Minor second on C.mid">Play</phonos> m2, M7 10-1
2-2 [0,2] <0,1,0,0,0,0> 2 <phonos file="Major second on C.mid">Play</phonos> M2, m7 10-2
2-3 [0,3] <0,0,1,0,0,0> 3 <phonos file="Minor third on C.mid">Play</phonos> m3, M6 10-3
2-4 [0,4] <0,0,0,1,0,0> 4 <phonos file="Major third on C.mid">Play</phonos> M3, m6 10-4
2-5 [0,5] <0,0,0,0,1,0> 5 <phonos file="Perfect fourth on C.mid">Play</phonos> P4, P5 10-5
2-6 [0,6] <0,0,0,0,0,1> 6 <phonos file="Tritone on C.mid">Play</phonos> A4, d5 10-6
3-1 [0,1,2] <2,1,0,0,0,0> 4 <phonos file="3-1 (chromatic) trichord on C.mid">Play</phonos> ... 9-1
3-2A [0,1,3] <1,1,1,0,0,0> 12 <phonos file="3-2A trichord on C.mid">Play</phonos> ... 9-2B
3-2B [0,2,3] <phonos file="3-2B (minor) trichord on C.mid">Play</phonos> ... 9-2A
3-3A [0,1,4] <1,0,1,1,0,0> 11 <phonos file="3-3A trichord on C.mid">Play</phonos> ... 9-3B
3-3B [0,3,4] <phonos file="3-3B trichord on C.mid">Play</phonos> ... 9-3A
3-4A [0,1,5] <1,0,0,1,1,0> 9 <phonos file="3-4A set class on C.mid">Play</phonos> ... 9-4B
3-4B [0,4,5] <phonos file="3-4B set class on C.mid">Play</phonos> ... 9-4A
3-5A [0,1,6] <1,0,0,0,1,1> 7 <phonos file="3-5A set class on C.mid">Play</phonos> Viennese trichord 9-5B
3-5B [0,5,6] <phonos file="3-5B set class on C.mid">Play</phonos> ... 9-5A
3-6 [0,2,4] <0,2,0,1,0,0> 3 <phonos file="3-6 (major) trichord on C.mid">Play</phonos> ... 9-6
3-7A [0,2,5] <0,1,1,0,1,0> 10 <phonos file="3-7A trichord on C.mid">Play</phonos> ... 9-7B
3-7B [0,3,5] <phonos file="3-7B trichord on C.mid">Play</phonos> Blues trichord (min. pentatonic subset)[8] 9-7A
3-8A [0,2,6] <0,1,0,1,0,1> 8 <phonos file="3-8A trichord on C.mid">Play</phonos> It6 9-8B
3-8B [0,4,6] <phonos file="3-8B trichord on C.mid">Play</phonos> ... 9-8A
3-9 [0,2,7] <0,1,0,0,2,0> 5 <phonos file="3-9 (sus) trichord on C.mid">Play</phonos> sus. chord 9-9
3-10 [0,3,6] <0,0,2,0,0,1> 2 <phonos file="3-10 (dim. chord) trichord on C.mid">Play</phonos> dim. chord 9-10
3-11A [0,3,7] <0,0,1,1,1,0> 6 <phonos file="3-11A (minor chord) trichord on C.mid">Play</phonos> minor chord 9-11B
3-11B [0,4,7] <phonos file="3-11B (major chord) trichord on C.mid">Play</phonos> major chord 9-11A
3-12 [0,4,8] <0,0,0,3,0,0> 1 <phonos file="3-12 (aug. chord) trichord on C.mid">Play</phonos> Aug. chord 9-12
4-1 [0,1,2,3] <3,2,1,0,0,0> 1 <phonos file="4-1 (chromatic) tetrachord on C.mid">Play</phonos> ... 8-1
4-2A [0,1,2,4] <2,2,1,1,0,0> 17 <phonos file="4-2A tetrachord on C.mid">Play</phonos> ... 8-2B
4-2B [0,2,3,4] <phonos file="4-2B tetrachord on C.mid">Play</phonos> ... 8-2A
4-3 [0,1,3,4] <2,1,2,1,0,0> 9 <phonos file="4-3 set class on C.mid">Play</phonos> DSCH motif 8-3
4-4A [0,1,2,5] <2,1,1,1,1,0> 20 <phonos file="4-4A tetrachord on C.mid">Play</phonos> ... 8-4B
4-4B [0,3,4,5] <phonos file="4-4B tetrachord on C.mid">Play</phonos> ... 8-4A
4-5A [0,1,2,6] <2,1,0,1,1,1> 22 <phonos file="4-5A tetrachord on C.mid">Play</phonos> ... 8-5B
4-5B [0,4,5,6] <phonos file="4-5B tetrachord on C.mid">Play</phonos> ... 8-5A
4-6 [0,1,2,7] <2,1,0,0,2,1> 6 <phonos file="4-6 tetrachord on C.mid">Play</phonos> dream chord 8-6
4-7 [0,1,4,5] <2,0,1,2,1,0> 8 <phonos file="4-7 tetrachord on C.mid">Play</phonos> ... 8-7
4-8 [0,1,5,6] <2,0,0,1,2,1> 10 <phonos file="4-8 tetrachord on C.mid">Play</phonos> ... 8-8
4-9 [0,1,6,7] <2,0,0,0,2,2> 2 <phonos file="4-9 tetrachord on C.mid">Play</phonos> distance model 8-9
4-10 [0,2,3,5] <1,2,2,0,1,0> 3 <phonos file="4-10 (minor) tetrachord on C.mid">Play</phonos> ... 8-10
4-11A [0,1,3,5] <1,2,1,1,1,0> 26 <phonos file="4-11A tetrachord on C.mid">Play</phonos> ... 8-11B
4-11B [0,2,4,5] <phonos file="4-11B (major) tetrachord on C.mid">Play</phonos> ... 8-11A
4-12A [0,2,3,6] <1,1,2,1,0,1> 28 <phonos file="4-12A tetrachord on C.mid">Play</phonos> ... 8-12A
4-12B [0,3,4,6] <phonos file="4-12B tetrachord on C.mid">Play</phonos> ... 8-12B
4-13A [0,1,3,6] <1,1,2,0,1,1> 7 <phonos file="4-13A tetrachord on C.mid">Play</phonos> ... 8-13B
4-13B [0,3,5,6] <phonos file="4-13B tetrachord on C.mid">Play</phonos> ... 8-13A
4-14A [0,2,3,7] <1,1,1,1,2,0> 25 <phonos file="4-14A tetrachord on C.mid">Play</phonos> ... 8-14A
4-14B [0,4,5,7] <phonos file="4-14B tetrachord on C.mid">Play</phonos> ... 8-14B
4-Z15A [0,1,4,6] <1,1,1,1,1,1> 18 <phonos file="4-15ZA (all-interval) tetrachord on C.mid">Play</phonos> all-interval tetrachord 8-Z15B
4-Z15B [0,2,5,6] <phonos file="4-15ZB (all-interval) tetrachord on C.mid">Play</phonos> all-interval tetrachord 8-Z15A
4-16A [0,1,5,7] <1,1,0,1,2,1> 19 <phonos file="4-16A tetrachord on C.mid">Play</phonos> ... 8-16B
4-16B [0,2,6,7] <phonos file="4-16B tetrachord on C.mid">Play</phonos> ... 8-16A
4-17 [0,3,4,7] <1,0,2,2,1,0> 13 <phonos file="4-17 set class on C.mid">Play</phonos> alpha chord 8-17
4-18A [0,1,4,7] <1,0,2,1,1,1> 21 <phonos file="4-18A tetrachord on C.mid">Play</phonos> dim. M7 chord 8-18B
4-18B [0,3,6,7] <phonos file="4-18B tetrachord on C.mid">Play</phonos> ... 8-18A
4-19A [0,1,4,8] <1,0,1,3,1,0> 24 <phonos file="4-19A tetrachord on C.mid">Play</phonos> mM7 chord 8-19B
4-19B [0,3,4,8] <phonos file="4-19B set class on C.mid">Play</phonos> ... 8-19A
4-20 [0,1,5,8] <1,0,1,2,2,0> 15 <phonos file="4-20 (major seventh chord) tetrachord on C.mid">Play</phonos> M7 chord 8-20
4-21 [0,2,4,6] <0,3,0,2,0,1> 11 <phonos file="4-21 (whole-tone) tetrachord on C.mid">Play</phonos> ... 8-21
4-22A [0,2,4,7] <0,2,1,1,2,0> 27 <phonos file="4-22A (sus2 chord) tetrachord on C.mid">Play</phonos> mu chord 8-22B
4-22B [0,3,5,7] <phonos file="4-22B (minor sus4 chord) tetrachord on C.mid">Play</phonos> ... 8-22A
4-23 [0,2,5,7] <0,2,1,0,3,0> 4 <phonos file="4-23 (quartal) tetrachord on C.mid">Play</phonos> quartal chord 8-23
4-24 [0,2,4,8] <0,2,0,3,0,1> 16 <phonos file="4-24 (aug. seventh chord) tetrachord on C.mid">Play</phonos> A7 chord 8-24
4-25 [0,2,6,8] <0,2,0,2,0,2> 12 <phonos file="4-25 (French sixth) tetrachord on C.mid">Play</phonos> Fr6 8-25
4-26 [0,3,5,8] <0,1,2,1,2,0> 14 <phonos file="4-26 (minor seventh chord) tetrachord on C.mid">Play</phonos> minor seventh chord 8-26
4-27A [0,2,5,8] <0,1,2,1,1,1> 29 <phonos file="4-27A set class on C.mid">Play</phonos> Half-diminished seventh chord 8-27B
4-27B [0,3,6,8] <phonos file="4-27B tetrachord on C.mid">Play</phonos> dominant 7th chord 8-27A
4-28 [0,3,6,9] <0,0,4,0,0,2> 5 <phonos file="4-28 (diminished seventh chord) tetrachord on C.mid">Play</phonos> dim. 7th chord 8-28
4-Z29A [0,1,3,7] <1,1,1,1,1,1> 23 <phonos file="4-29ZA (all-interval) tetrachord on C.mid">Play</phonos> all-interval tetrachord 8-Z29B
4-Z29B [0,4,6,7] <phonos file="4-29ZB (all-interval) tetrachord on C.mid">Play</phonos> all-interval tetrachord 8-Z29A
5-1 [0,1,2,3,4] <4,3,2,1,0,0> <phonos file="5-1 (chromatic) pentachord on C.mid">Play</phonos> ... 7-1
5-2A [0,1,2,3,5] <3,3,2,1,1,0> <phonos file="5-2A pentachord on C.mid">Play</phonos> ... 7-2B
5-2B [0,2,3,4,5] <phonos file="5-2B pentachord on C.mid">Play</phonos> ... 7-2A
5-3A [0,1,2,4,5] <3,2,2,2,1,0> <phonos file="5-3A pentachord on C.mid">Play</phonos> ... 7-3B
5-3B [0,1,3,4,5] <phonos file="5-3B pentachord on C.mid">Play</phonos> ... 7-3A
5-4A [0,1,2,3,6] <3,2,2,1,1,1> <phonos file="5-4A pentachord on C.mid">Play</phonos> ... 7-4B
5-4B [0,3,4,5,6] <phonos file="5-4B pentachord on C.mid">Play</phonos> ... 7-4A
5-5A [0,1,2,3,7] <3,2,1,1,2,1> <phonos file="5-5A pentachord on C.mid">Play</phonos> ... 7-5B
5-5B [0,4,5,6,7] <phonos file="5-5B pentachord on C.mid">Play</phonos> ... 7-5A
5-6A [0,1,2,5,6] <3,1,1,2,2,1> <phonos file="5-6A pentachord on C.mid">Play</phonos> ... 7-6B
5-6B [0,1,4,5,6] <phonos file="5-6B pentachord on C.mid">Play</phonos> ... 7-6A
5-7A [0,1,2,6,7] <3,1,0,1,3,2> <phonos file="5-7A pentachord on C.mid">Play</phonos> ... 7-7B
5-7B [0,1,5,6,7] <phonos file="5-7B pentachord on C.mid">Play</phonos> ... 7-7A
5-8 [0,2,3,4,6] <2,3,2,2,0,1> <phonos file="5-8 set class on C.mid">Play</phonos> ... 7-8
5-9A [0,1,2,4,6] <2,3,1,2,1,1> <phonos file="5-9A pentachord on C.mid">Play</phonos> ... 7-9B
5-9B [0,2,4,5,6] <phonos file="5-9B pentachord on C.mid">Play</phonos> ... 7-9A
5-10A [0,1,3,4,6] <2,2,3,1,1,1> <phonos file="5-10A pentachord on C.mid">Play</phonos> ... 7-10B
5-10B [0,2,3,5,6] <phonos file="5-10B pentachord on C.mid">Play</phonos> ... 7-10A
5-11A [0,2,3,4,7] <2,2,2,2,2,0> <phonos file="5-11A pentachord on C.mid">Play</phonos> ... 7-11A
5-11B [0,3,4,5,7] <phonos file="5-11B pentachord on C.mid">Play</phonos> ... 7-11B
5-Z12 [0,1,3,5,6] <2,2,2,1,2,1> <phonos file="5-12Z pentachord on C.mid">Play</phonos> ... 7-Z12
5-13A [0,1,2,4,8] <2,2,1,3,1,1> <phonos file="5-13A pentachord on C.mid">Play</phonos> ... 7-13B
5-13B [0,2,3,4,8] <phonos file="5-13B set class on C.mid">Play</phonos> ... 7-13A
5-14A [0,1,2,5,7] <2,2,1,1,3,1> <phonos file="5-14A pentachord on C.mid">Play</phonos> ... 7-14B
5-14B [0,2,5,6,7] <phonos file="5-14B pentachord on C.mid">Play</phonos> ... 7-14A
5-15 [0,1,2,6,8] <2,2,0,2,2,2> <phonos file="5-15 pentachord on C.mid">Play</phonos> ... 7-15
5-16A [0,1,3,4,7] <2,1,3,2,1,1> <phonos file="5-16A pentachord on C.mid">Play</phonos> ... 7-16B
5-16B [0,3,4,6,7] <phonos file="5-16B pentachord on C.mid">Play</phonos> ... 7-16A
5-Z17 [0,1,3,4,8] <2,1,2,3,2,0> <phonos file="5-17Z pentachord on C.mid">Play</phonos> Farben chord 7-Z17
5-Z18A [0,1,4,5,7] <2,1,2,2,2,1> <phonos file="5-18ZA pentachord on C.mid">Play</phonos> ... 7-Z18B
5-Z18B [0,2,3,6,7] <phonos file="5-18ZB pentachord on C.mid">Play</phonos> ... 7-Z18A
5-19A [0,1,3,6,7] <2,1,2,1,2,2> Audio file "5-19A pentachord on C.mid" not found ... 7-19B
5-19B [0,1,4,6,7] Audio file "5-19B pentachord on C.mid" not found ... 7-19A
5-20A [0,1,5,6,8][b] <2,1,1,2,3,1> Audio file "5-20A pentachord on C.mid" not found ... 7-20B
5-20B [0,2,3,7,8][c] Audio file "5-20B pentachord on C.mid" not found In scale 7-20A
5-21A [0,1,4,5,8] <2,0,2,4,2,0> Audio file "5-21A pentachord on C.mid" not found ... 7-21B
5-21B [0,3,4,7,8] Audio file "5-21B pentachord on C.mid" not found ... 7-21A
5-22 [0,1,4,7,8] <2,0,2,3,2,1> Audio file "5-22 pentachord on C.mid" not found ... 7-22
5-23A [0,2,3,5,7] <1,3,2,1,3,0> Audio file "5-23A (minor) pentachord on C.mid" not found ... 7-23B
5-23B [0,2,4,5,7] Audio file "5-23B (major) pentachord on C.mid" not found ... 7-23A
5-24A [0,1,3,5,7] <1,3,1,2,2,1> Audio file "5-24A pentachord on C.mid" not found ... 7-24B
5-24B [0,2,4,6,7] Audio file "5-24B pentachord on C.mid" not found ... 7-24A
5-25A [0,2,3,5,8] <1,2,3,1,2,1> Audio file "5-25A pentachord on C.mid" not found Seven six chord 7-25B
5-25B [0,3,5,6,8] Audio file "5-25B pentachord on C.mid" not found ... 7-25A
5-26A [0,2,4,5,8] <1,2,2,3,1,1> Audio file "5-26A pentachord on C.mid" not found ... 7-26A
5-26B [0,3,4,6,8] Audio file "5-26B pentachord on C.mid" not found ... 7-26B
5-27A [0,1,3,5,8] <1,2,2,2,3,0> Audio file "5-27A pentachord on C.mid" not found ... 7-27B
5-27B [0,3,5,7,8] Audio file "5-27B pentachord on C.mid" not found ... 7-27A
5-28A [0,2,3,6,8] <1,2,2,2,1,2> Audio file "5-28A pentachord on C.mid" not found ... 7-28A
5-28B [0,2,5,6,8] Audio file "5-28B pentachord on C.mid" not found ... 7-28B
5-29A [0,1,3,6,8] <1,2,2,1,3,1> Audio file "5-29A pentachord on C.mid" not found ... 7-29B
5-29B [0,2,5,7,8] Audio file "5-29B pentachord on C.mid" not found ... 7-29A
5-30A [0,1,4,6,8] <1,2,1,3,2,1> Audio file "5-30A pentachord on C.mid" not found ... 7-30B
5-30B [0,2,4,7,8] Audio file "5-30B pentachord on C.mid" not found ... 7-30A
5-31A [0,1,3,6,9] <1,1,4,1,1,2> Audio file "5-31A pentachord on C.mid" not found beta chord 7-31B
5-31B [0,2,3,6,9] Audio file "5-31B pentachord on C.mid" not found Dominant minor ninth chord 7-31A
5-32A [0,1,4,6,9] <1,1,3,2,2,1> Audio file "5-32A pentachord on C.mid" not found ... 7-32B
5-32B [0,2,5,6,9][d] Audio file "5-32B set class on C.mid" not found Elektra chord, gamma chord 7-32A
5-33 [0,2,4,6,8] <0,4,0,4,0,2> Audio file "5-33 pentachord on C.mid" not found ... 7-33
5-34 [0,2,4,6,9] <0,3,2,2,2,1> Audio file "5-34 pentachord on C.mid" not found Dominant ninth chord 7-34
5-35 [0,2,4,7,9] <0,3,2,1,4,0> Audio file "5-35 (pentatonic) pentachord on C.mid" not found M pentatonic scale 7-35
5-Z36A [0,1,2,4,7] <2,2,2,1,2,1> Audio file "5-36ZA pentachord on C.mid" not found ... 7-Z36B
5-Z36B [0,3,5,6,7] Audio file "5-36ZB pentachord on C.mid" not found ... 7-Z36A
5-Z37 [0,3,4,5,8] <2,1,2,3,2,0> Audio file "5-37Z pentachord on C.mid" not found ... 7-Z37
5-Z38A [0,1,2,5,8] <2,1,2,2,2,1> Audio file "5-38ZA pentachord on C.mid" not found ... 7-Z38B
5-Z38B [0,3,6,7,8] Audio file "5-38ZB pentachord on C.mid" not found ... 7-Z38A
6-1 [0,1,2,3,4,5] <5,4,3,2,1,0> 4 Audio file "Chromatic hexachord on C.mid" not found chromatic hexachord 6-1
6-2A [0,1,2,3,4,6] <4,4,3,2,1,1> 19 Audio file "6-2A hexachord on C.mid" not found ... 6-2B
6-2B [0,2,3,4,5,6] Audio file "6-2B hexachord on C.mid" not found ... 6-2A
6-Z3A [0,1,2,3,5,6] <4,3,3,2,2,1> 49 Audio file "6-3ZA hexachord on C.mid" not found ... 6-Z36B
6-Z3B [0,1,3,4,5,6] Audio file "6-3ZB hexachord on C.mid" not found ... 6-Z36A
6-Z4 [0,1,2,4,5,6] <4,3,2,3,2,1> 24 Audio file "6-Z4 set class on C.mid" not found ... 6-Z37
6-5A [0,1,2,3,6,7] <4,2,2,2,3,2> 16 Audio file "6-5A hexachord on C.mid" not found ... 6-5B
6-5B [0,1,4,5,6,7] Audio file "6-5B hexachord on C.mid" not found ... 6-5A
6-Z6 [0,1,2,5,6,7] <4,2,1,2,4,2> 33 Audio file "6-6Z hexachord on C.mid" not found ... 6-Z38
6-7 [0,1,2,6,7,8] <4,2,0,2,4,3> 7 Audio file "6-7 hexachord on C.mid" not found ... 6-7
6-8 [0,2,3,4,5,7] <3,4,3,2,3,0> 5 Audio file "6-8 hexachord on C.mid" not found ... 6-8
6-9A [0,1,2,3,5,7] <3,4,2,2,3,1> 20 Audio file "6-9A hexachord on C.mid" not found ... 6-9B
6-9B [0,2,4,5,6,7] Audio file "6-9B hexachord on C.mid" not found ... 6-9A
6-Z10A [0,1,3,4,5,7] <3,3,3,3,2,1> 42 Audio file "6-10ZA hexachord on C.mid" not found ... 6-Z39A
6-Z10B [0,2,3,4,6,7] Audio file "6-10ZB hexachord on C.mid" not found ... 6-Z39B
6-Z11A [0,1,2,4,5,7] <3,3,3,2,3,1> 47 Audio file "6-11ZA hexachord on C.mid" not found ... 6-Z40B
6-Z11B [0,2,3,5,6,7] Audio file "6-11ZB hexachord on C.mid" not found Sacher hexachord 6-Z40A
6-Z12A [0,1,2,4,6,7] <3,3,2,2,3,2> 46 Audio file "6-12ZA hexachord on C.mid" not found ... 6-Z41B
6-Z12B [0,1,3,5,6,7] Audio file "6-12ZB hexachord on C.mid" not found ... 6-Z41A
6-Z13 [0,1,3,4,6,7] <3,2,4,2,2,2> 29 Audio file "6-13Z hexachord on C.mid" not found ... 6-Z42
6-14A [0,1,3,4,5,8] <3,2,3,4,3,0> 3 Audio file "6-14A hexachord on C.mid" not found ... 6-14A
6-14B [0,3,4,5,7,8] Audio file "6-14B hexachord on C.mid" not found ... 6-14B
6-15A [0,1,2,4,5,8] <3,2,3,4,2,1> 13 Audio file "6-15A hexachord on C.mid" not found ... 6-15B
6-15B [0,3,4,6,7,8] Audio file "6-15B hexachord on C.mid" not found ... 6-15A
6-16A [0,1,4,5,6,8] <3,2,2,4,3,1> 11 Audio file "6-16A hexachord on C.mid" not found ... 6-16B
6-16B [0,2,3,4,7,8] Audio file "6-16B hexachord on C.mid" not found ... 6-16A
6-Z17A [0,1,2,4,7,8] <3,2,2,3,3,2> 35 Audio file "6-17ZA hexachord on C.mid" not found all-trichord hexachord 6-Z43B
6-Z17B [0,1,4,6,7,8] Audio file "6-17ZB hexachord on C.mid" not found ... 6-Z43A
6-18A [0,1,2,5,7,8] <3,2,2,2,4,2> 17 Audio file "6-18A hexachord on C.mid" not found ... 6-18B
6-18B [0,1,3,6,7,8] Audio file "6-18B hexachord on C.mid" not found ... 6-18A
6-Z19A [0,1,3,4,7,8] <3,1,3,4,3,1> 37 Audio file "6-19ZA hexachord on C.mid" not found ... 6-Z44B
6-Z19B [0,1,4,5,7,8] Audio file "6-19ZB hexachord on C.mid" not found ... 6-Z44A
6-20 [0,1,4,5,8,9] <3,0,3,6,3,0> 2 Audio file "6-20 hexachord on C.mid" not found "Ode-to-Napoleon" hexachord 6-20
6-21A [0,2,3,4,6,8] <2,4,2,4,1,2> 12 Audio file "6-21A hexachord on C.mid" not found ... 6-21B
6-21B [0,2,4,5,6,8] Audio file "6-21B hexachord on C.mid" not found ... 6-21A
6-22A [0,1,2,4,6,8] <2,4,1,4,2,2> 10 Audio file "6-22A hexachord on C.mid" not found ... 6-22B
6-22B [0,2,4,6,7,8] Audio file "6-22B hexachord on C.mid" not found ... 6-21A
6-Z23 [0,2,3,5,6,8] <2,3,4,2,2,2> 27 Audio file "6-23Z hexachord on C.mid" not found ... 6-Z45
6-Z24A [0,1,3,4,6,8] <2,3,3,3,3,1> 39 Audio file "6-24ZA hexachord on C.mid" not found ... 6-Z46B
6-Z24B [0,2,4,5,7,8] Audio file "6-24ZB hexachord on C.mid" not found ... 6-Z46A
6-Z25A [0,1,3,5,6,8] <2,3,3,2,4,1> 43 Audio file "6-25ZA hexachord on C.mid" not found Major eleventh chord 6-Z47B
6-Z25B [0,2,3,5,7,8] Audio file "6-25ZB hexachord on C.mid" not found ... 6-Z47A
6-Z26 [0,1,3,5,7,8] <2,3,2,3,4,1> 26 Audio file "6-Z26 set class on C.mid" not found ... 6-Z48
6-27A [0,1,3,4,6,9] <2,2,5,2,2,2> 14 Audio file "6-27A hexachord on C.mid" not found ... 6-27B
6-27B [0,2,3,5,6,9] Audio file "6-27B set class on C.mid" not found ... 6-27A
6-Z28 [0,1,3,5,6,9] <2,2,4,3,2,2> 21 Audio file "6-28Z hexachord on C.mid" not found ... 6-Z49
6-Z29 [0,2,3,6,7,9][e] <2,2,4,2,3,2> 32 Audio file "6-29Z hexachord on C.mid" not found Bridge chord 6-Z50
6-30A [0,1,3,6,7,9] <2,2,4,2,2,3> 15 Audio file "6-30A hexachord on C.mid" not found ... 6-30B
6-30B [0,2,3,6,8,9] Audio file "6-30B hexachord on C.mid" not found Petrushka chord 6-30A
6-31A [0,1,4,5,7,9][f] <2,2,3,4,3,1> 8 Audio file "6-31A hexachord on C.mid" not found ... 6-31B
6-31B [0,2,4,5,8,9][g] Audio file "6-31B hexachord on C.mid" not found ... 6-31A
6-32 [0,2,4,5,7,9] <1,4,3,2,5,0> 6 Audio file "Diatonic hexachord on C.mid" not found diatonic hexachord 6-32
6-33A [0,2,3,5,7,9] <1,4,3,2,4,1> 18 Audio file "6-33A hexachord on C.mid" not found ... 6-33B
6-33B [0,2,4,6,7,9] Audio file "6-33B hexachord on C.mid" not found Dominant eleventh chord 6-33A
6-34A [0,1,3,5,7,9] <1,4,2,4,2,2> 9 Audio file "6-34A hexachord on C.mid" not found mystic chord 6-34B
6-34B [0,2,4,6,8,9] Audio file "6-34B hexachord on C.mid" not found Prélude chord 6-34A
6-35 [0,2,4,6,8,T] <0,6,0,6,0,3> 1 Audio file "6-35 (whole-tone) hexachord on C.mid" not found whole tone scale 6-35
6-Z36A [0,1,2,3,4,7] <4,3,3,2,2,1> 50 Audio file "6-36ZA hexachord on C.mid" not found ... 6-Z3B
6-Z36B [0,3,4,5,6,7] Audio file "6-36ZB hexachord on C.mid" not found ... 6-Z3A
6-Z37 [0,1,2,3,4,8] <4,3,2,3,2,1> 23 Audio file "6-37Z hexachord on C.mid" not found ... 6-Z4
6-Z38 [0,1,2,3,7,8] <4,2,1,2,4,2> 34 Audio file "6-38Z hexachord on C.mid" not found ... 6-Z6
6-Z39A [0,2,3,4,5,8] <3,3,3,3,2,1> 41 Audio file "6-39ZA hexachord on C.mid" not found ... 6-Z10A
6-Z39B [0,3,4,5,6,8] Audio file "6-39ZB hexachord on C.mid" not found ... 6-Z10B
6-Z40A [0,1,2,3,5,8] <3,3,3,2,3,1> 48 Audio file "6-40ZA hexachord on C.mid" not found ... 6-Z11B
6-Z40B [0,3,5,6,7,8] Audio file "6-40ZB hexachord on C.mid" not found ... 6-Z11A
6-Z41A [0,1,2,3,6,8] <3,3,2,2,3,2> 45 Audio file "6-41ZA hexachord on C.mid" not found ... 6-Z12B
6-Z41B [0,2,5,6,7,8] Audio file "6-41ZB hexachord on C.mid" not found ... 6-Z12A
6-Z42 [0,1,2,3,6,9] <3,2,4,2,2,2> 30 Audio file "6-42Z hexachord on C.mid" not found ... 6-Z13
6-Z43A [0,1,2,5,6,8] <3,2,2,3,3,2> 36 Audio file "6-43ZA hexachord on C.mid" not found ... 6-Z17B
6-Z43B [0,2,3,6,7,8] Audio file "6-43ZB hexachord on C.mid" not found ... 6-Z17A
6-Z44A [0,1,2,5,6,9] <3,1,3,4,3,1> 38 Audio file "6-Z44A set class on C.mid" not found Schoenberg hexachord 6-Z19B
6-Z44B [0,1,4,5,6,9][h] Audio file "6-Z44B set class on C.mid" not found ... 6-Z19A
6-Z45 [0,2,3,4,6,9] <2,3,4,2,2,2> 28 Audio file "6-45Z hexachord on C.mid" not found ... 6-Z23
6-Z46A [0,1,2,4,6,9] <2,3,3,3,3,1> 40 Audio file "6-46ZA hexachord on C.mid" not found ... 6-Z24B
6-Z46B [0,2,4,5,6,9] Audio file "6-Z46B set class on C.mid" not found ... 6-Z24A
6-Z47A [0,1,2,4,7,9] <2,3,3,2,4,1> 44 Audio file "6-47ZA hexachord on C.mid" not found ... 6-Z25B
6-Z47B [0,2,3,4,7,9] Audio file "6-Z47B set class on C.mid" not found blues scale 6-Z25A
6-Z48 [0,1,2,5,7,9] <2,3,2,3,4,1> 25 Audio file "6-48Z hexachord on C.mid" not found ... 6-Z26
6-Z49 [0,1,3,4,7,9] <2,2,4,3,2,2> 22 Audio file "6-49Z hexachord on C.mid" not found ... 6-Z28
6-Z50 [0,1,4,6,7,9] <2,2,4,2,3,2> 31 Audio file "6-50Z hexachord on C.mid" not found ... 6-Z29
7-1 [0,1,2,3,4,5,6] <6,5,4,3,2,1> 1 Audio file "7-1 (chromatic) heptachord on C.mid" not found ... 5-1
7-2A [0,1,2,3,4,5,7] <5,5,4,3,3,1> 11 Audio file "7-2A heptachord on C.mid" not found ... 5-2B
7-2B [0,2,3,4,5,6,7] Audio file "7-2B heptachord on C.mid" not found ... 5-2A
7-3A [0,1,2,3,4,5,8] <5,4,4,4,3,1> 14 Audio file "7-3A heptachord on C.mid" not found ... 5-3B
7-3B [0,3,4,5,6,7,8] Audio file "7-3B heptachord on C.mid" not found ... 5-3A
7-4A [0,1,2,3,4,6,7] <5,4,4,3,3,2> 12 Audio file "7-4A heptachord on C.mid" not found ... 5-4B
7-4B [0,1,3,4,5,6,7] Audio file "7-4B heptachord on C.mid" not found ... 5-4A
7-5A [0,1,2,3,5,6,7] <5,4,3,3,4,2> 13 Audio file "7-5A heptachord on C.mid" not found ... 5-5B
7-5B [0,1,2,4,5,6,7] Audio file "7-5B heptachord on C.mid" not found ... 5-5A
7-6A [0,1,2,3,4,7,8] <5,3,3,4,4,2> 27 Audio file "7-6A set class on C.mid" not found ... 5-6B
7-6B [0,1,4,5,6,7,8] Audio file "7-6B heptachord on C.mid" not found ... 5-6A
7-7A [0,1,2,3,6,7,8] <5,3,2,3,5,3> 30 Audio file "7-7A heptachord on C.mid" not found ... 5-7B
7-7B [0,1,2,5,6,7,8] Audio file "7-7B heptachord on C.mid" not found ... 5-7A
7-8 [0,2,3,4,5,6,8] <4,5,4,4,2,2> 2 Audio file "7-8 set class on C.mid" not found ... 5-8
7-9A [0,1,2,3,4,6,8] <4,5,3,4,3,2> 15 Audio file "7-9A heptachord on C.mid" not found ... 5-9B
7-9B [0,2,4,5,6,7,8] Audio file "7-9B heptachord on C.mid" not found ... 5-9A
7-10A [0,1,2,3,4,6,9] <4,4,5,3,3,2> 19 Audio file "7-10A heptachord on C.mid" not found ... 5-10B
7-10B [0,2,3,4,5,6,9] Audio file "7-10B heptachord on C.mid" not found ... 5-10A
7-11A [0,1,3,4,5,6,8] <4,4,4,4,4,1> 18 Audio file "7-11A heptachord on C.mid" not found ... 5-11A
7-11B [0,2,3,4,5,7,8] Audio file "7-11B heptachord on C.mid" not found ... 5-11B
7-Z12 [0,1,2,3,4,7,9] <4,4,4,3,4,2> 5 Audio file "7-12Z heptachord on C.mid" not found ... 5-Z12
7-13A [0,1,2,4,5,6,8] <4,4,3,5,3,2> 17 Audio file "7-13A heptachord on C.mid" not found ... 5-13B
7-13B [0,2,3,4,6,7,8] Audio file "7-13B heptachord on C.mid" not found ... 5-13A
7-14A [0,1,2,3,5,7,8] <4,4,3,3,5,2> 28 Audio file "7-14A heptachord on C.mid" not found ... 5-14B
7-14B [0,1,3,5,6,7,8] Audio file "7-14B heptachord on C.mid" not found ... 5-14A
7-15 [0,1,2,4,6,7,8] <4,4,2,4,4,3> 4 Audio file "7-15 heptachord on C.mid" not found ... 5-15
7-16A [0,1,2,3,5,6,9] <4,3,5,4,3,2> 20 Audio file "7-16A heptachord on C.mid" not found ... 5-16B
7-16B [0,1,3,4,5,6,9] Audio file "7-16B heptachord on C.mid" not found ... 5-16A
7-Z17 [0,1,2,4,5,6,9] <4,3,4,5,4,1> 10 Audio file "7-17Z heptachord on C.mid" not found ... 5-Z17
7-Z18A [0,1,4,5,6,7,9][i] <4,3,4,4,4,2> 35 Audio file "7-18ZA heptachord on C.mid" not found ... 5-Z18B
7-Z18B [0,2,3,4,5,8,9] [j] Audio file "7-Z18B set class on C.mid" not found ... 5-Z18A
7-19A [0,1,2,3,6,7,9] <4,3,4,3,4,3> 31 Audio file "7-19A heptachord on C.mid" not found ... 5-19B
7-19B [0,1,2,3,6,8,9] Audio file "7-19B heptachord on C.mid" not found ... 5-19A
7-20A [0,1,2,5,6,7,9][k] <4,3,3,4,5,2> 34 Audio file "7-20A heptachord on C.mid" not found Persian scale 5-20B
7-20B [0,2,3,4,7,8,9][l] Audio file "7-20B heptachord on C.mid" not found ... 5-20A
7-21A [0,1,2,4,5,8,9] <4,2,4,6,4,1> 21 Audio file "7-21A heptachord on C.mid" not found ... 5-21B
7-21B [0,1,3,4,5,8,9] Audio file "7-21B heptachord on C.mid" not found ... 5-21A
7-22 [0,1,2,5,6,8,9] <4,2,4,5,4,2> 8 Audio file "7-22 heptachord on C.mid" not found double harmonic scale 5-22
7-23A [0,2,3,4,5,7,9] <3,5,4,3,5,1> 25 Audio file "7-23A set class on C.mid" not found ... 5-23B
7-23B [0,2,4,5,6,7,9] Audio file "7-23B heptachord on C.mid" not found ... 5-23A
7-24A [0,1,2,3,5,7,9] <3,5,3,4,4,2> 22 Audio file "7-24A heptachord on C.mid" not found ... 5-24B
7-24B [0,2,4,6,7,8,9] Audio file "7-24B heptachord on C.mid" not found enigmatic scale 5-24A
7-25A [0,2,3,4,6,7,9] <3,4,5,3,4,2> 24 Audio file "7-25A heptachord on C.mid" not found ... 5-25B
7-25B [0,2,3,5,6,7,9] Audio file "7-25B heptachord on C.mid" not found ... 5-25A
7-26A [0,1,3,4,5,7,9] <3,4,4,5,3,2> 26 Audio file "7-26A heptachord on C.mid" not found ... 5-26A
7-26B [0,2,4,5,6,8,9] Audio file "7-26B heptachord on C.mid" not found ... 5-26B
7-27A [0,1,2,4,5,7,9] <3,4,4,4,5,1> 23 Audio file "7-27A heptachord on C.mid" not found ... 5-27B
7-27B [0,2,4,5,7,8,9] Audio file "7-27B heptachord on C.mid" not found ... 5-27A
7-28A [0,1,3,5,6,7,9] <3,4,4,4,3,3> 36 Audio file "7-28A heptachord on C.mid" not found ... 5-28A
7-28B [0,2,3,4,6,8,9] Audio file "7-28B heptachord on C.mid" not found ... 5-28B
7-29A [0,1,2,4,6,7,9] <3,4,4,3,5,2> 32 Audio file "7-29A heptachord on C.mid" not found ... 5-29B
7-29B [0,2,3,5,7,8,9] Audio file "7-29B heptachord on C.mid" not found ... 5-29A
7-30A [0,1,2,4,6,8,9] <3,4,3,5,4,2> 37 Audio file "7-30A heptachord on C.mid" not found minor Neapolitan scale 5-30B
7-30B [0,1,3,5,7,8,9] Audio file "7-30B heptachord on C.mid" not found ... 5-30A
7-31A [0,1,3,4,6,7,9] <3,3,6,3,3,3> 38 Audio file "7-31A heptachord on C.mid" not found Hungarian major scale 5-31B
7-31B [0,2,3,5,6,8,9] Audio file "7-31B heptachord on C.mid" not found Romanian major scale 5-31A
7-32A [0,1,3,4,6,8,9] <3,3,5,4,4,2> 33 Audio file "7-32A heptachord on C.mid" not found harmonic minor scale 5-32B
7-32B [0,1,3,5,6,8,9] Audio file "7-32B heptachord on C.mid" not found harmonic major scale 5-32A
7-33 [0,1,2,4,6,8,T] <2,6,2,6,2,3> 6 Audio file "7-33 heptachord on C.mid" not found M Locrian scale 5-33
7-34 [0,1,3,4,6,8,T] <2,5,4,4,4,2> 9 Audio file "7-34 heptachord on C.mid" not found altered scale 5-34
7-35 [0,1,3,5,6,8,T] <2,5,4,3,6,1> 7 Audio file "7-35 (diatonic) heptachord on C.mid" not found diatonic scale 5-35
7-Z36A [0,1,2,3,5,6,8] <4,4,4,3,4,2> 16 Audio file "7-36ZA heptachord on C.mid" not found ... 5-Z36B
7-Z36B [0,2,3,5,6,7,8] Audio file "7-Z36B set class on C.mid" not found ... 5-Z36A
7-Z37 [0,1,3,4,5,7,8] <4,3,4,5,4,1> 3 Audio file "7-37Z heptachord on C.mid" not found ... 5-Z37
7-Z38A [0,1,2,4,5,7,8] <4,3,4,4,4,2> 29 Audio file "7-38ZA heptachord on C.mid" not found ... 5-Z38B
7-Z38B [0,1,3,4,6,7,8] Audio file "7-Z38B set class on C.mid" not found ... 5-Z38A
8-1 [0,1,2,3,4,5,6,7] <7,6,5,4,4,2> Audio file "8-1 (chromatic) octachord on C.mid" not found ... 4-1
8-2A [0,1,2,3,4,5,6,8] <6,6,5,5,4,2> Audio file "8-2A octachord on C.mid" not found ... 4-2B
8-2B [0,2,3,4,5,6,7,8] Audio file "8-2B octachord on C.mid" not found ... 4-2A
8-3 [0,1,2,3,4,5,6,9] <6,5,6,5,4,2> Audio file "8-3 octachord on C.mid" not found ... 4-3
8-4A [0,1,2,3,4,5,7,8] <6,5,5,5,5,2> Audio file "8-4A octachord on C.mid" not found ... 4-4B
8-4B [0,1,3,4,5,6,7,8] Audio file "8-4B octachord on C.mid" not found ... 4-4A
8-5A [0,1,2,3,4,6,7,8] <6,5,4,5,5,3> Audio file "8-5A octachord on C.mid" not found ... 4-5B
8-5B [0,1,2,4,5,6,7,8] Audio file "8-5B octachord on C.mid" not found ... 4-5A
8-6 [0,1,2,3,5,6,7,8] <6,5,4,4,6,3> Audio file "8-6 octachord on C.mid" not found ... 4-6
8-7 [0,1,2,3,4,5,8,9] <6,4,5,6,5,2> Audio file "8-7 octachord on C.mid" not found ... 4-7
8-8 [0,1,2,3,4,7,8,9] <6,4,4,5,6,3> Audio file "8-8 octachord on C.mid" not found ... 4-8
8-9 [0,1,2,3,6,7,8,9] <6,4,4,4,6,4> Audio file "8-9 octachord on C.mid" not found ... 4-9
8-10 [0,2,3,4,5,6,7,9] <5,6,6,4,5,2> Audio file "8-10 octachord on C.mid" not found ... 4-10
8-11A [0,1,2,3,4,5,7,9] <5,6,5,5,5,2> Audio file "8-11A octachord on C.mid" not found ... 4-11B
8-11B [0,2,4,5,6,7,8,9] Audio file "8-11B octachord on C.mid" not found ... 4-11A
8-12A [0,1,3,4,5,6,7,9] <5,5,6,5,4,3> Audio file "8-12A octachord on C.mid" not found ... 4-12A
8-12B [0,2,3,4,5,6,8,9] Audio file "8-12B octachord on C.mid" not found ... 4-12B
8-13A [0,1,2,3,4,6,7,9] <5,5,6,4,5,3> Audio file "8-13A octachord on C.mid" not found ... 4-13B
8-13B [0,2,3,5,6,7,8,9] Audio file "8-13B octachord on C.mid" not found ... 4-13A
8-14A [0,1,2,4,5,6,7,9] <5,5,5,5,6,2> Audio file "8-14A octachord on C.mid" not found ... 4-14A
8-14B [0,2,3,4,5,7,8,9] Audio file "8-14B octachord on C.mid" not found ... 4-14B
8-Z15A [0,1,2,3,4,6,8,9] <5,5,5,5,5,3> Audio file "8-15ZA octachord on C.mid" not found ... 4-Z15B
8-Z15B [0,1,3,5,6,7,8,9] Audio file "8-15ZB octachord on C.mid" not found ... 4-Z15A
8-16A [0,1,2,3,5,7,8,9] <5,5,4,5,6,3> Audio file "8-16A octachord on C.mid" not found ... 4-16B
8-16B [0,1,2,4,6,7,8,9] Audio file "8-16B octachord on C.mid" not found ... 4-16A
8-17 [0,1,3,4,5,6,8,9] <5,4,6,6,5,2> Audio file "8-17 octachord on C.mid" not found ... 4-17
8-18A [0,1,2,3,5,6,8,9] <5,4,6,5,5,3> Audio file "8-18A octachord on C.mid" not found ... 4-18B
8-18B [0,1,3,4,6,7,8,9] Audio file "8-18B octachord on C.mid" not found ... 4-18A
8-19A [0,1,2,4,5,6,8,9] <5,4,5,7,5,2> Audio file "8-19A octachord on C.mid" not found ... 4-19B
8-19B [0,1,3,4,5,7,8,9] Audio file "8-19B octachord on C.mid" not found ... 4-19A
8-20 [0,1,2,4,5,7,8,9] <5,4,5,6,6,2> Audio file "8-20 octachord on C.mid" not found ... 4-20
8-21 [0,1,2,3,4,6,8,T] <4,7,4,6,4,3> Audio file "8-21 octachord on C.mid" not found ... 4-21
8-22A [0,1,2,3,5,6,8,T] <4,6,5,5,6,2> Audio file "8-22A octachord on C.mid" not found ... 4-22B
8-22B [0,1,3,4,5,6,8,T] [m] Audio file "8-22B octachord on C.mid" not found ... 4-22A
8-23 [0,1,2,3,5,7,8,T] <4,6,5,4,7,2> Audio file "8-23 (quartal) octachord on C.mid" not found bebop scale 4-23
8-24 [0,1,2,4,5,6,8,T] <4,6,4,7,4,3> Audio file "8-24 octachord on C.mid" not found ... 4-24
8-25 [0,1,2,4,6,7,8,T] <4,6,4,6,4,4> Audio file "8-25 octachord on C.mid" not found ... 4-25
8-26 [0,1,3,4,5,7,8,T][n] <4,5,6,5,6,2> Audio file "8-26 octachord on C.mid" not found ... 4-26
8-27A [0,1,2,4,5,7,8,T] <4,5,6,5,5,3> Audio file "8-27A octachord on C.mid" not found ... 4-27B
8-27B [0,1,3,4,6,7,8,T] [o] Audio file "8-27B octachord on C.mid" not found ... 4-27A
8-28 [0,1,3,4,6,7,9,T] <4,4,8,4,4,4> Audio file "8-28 (octatonic scale) octachord on C.mid" not found octatonic scale 4-28
8-Z29A [0,1,2,3,5,6,7,9] <5,5,5,5,5,3> Audio file "8-29ZA octachord on C.mid" not found ... 4-Z29B
8-Z29B [0,2,3,4,6,7,8,9] Audio file "8-29ZB octachord on C.mid" not found ... 4-Z29A
9-1 [0,1,2,3,4,5,6,7,8] <8,7,6,6,6,3> Audio file "9-1 (chromatic) nonachord on C.mid" not found ... 3-1
9-2A [0,1,2,3,4,5,6,7,9] <7,7,7,6,6,3> Audio file "9-2A nonachord on C.mid" not found ... 3-2B
9-2B [0,2,3,4,5,6,7,8,9] Audio file "9-2B nonachord on C.mid" not found ... 3-2A
9-3A [0,1,2,3,4,5,6,8,9] <7,6,7,7,6,3> Audio file "9-3A nonachord on C.mid" not found ... 3-3B
9-3B [0,1,3,4,5,6,7,8,9] Audio file "9-3B nonachord on C.mid" not found ... 3-3A
9-4A [0,1,2,3,4,5,7,8,9] <7,6,6,7,7,3> Audio file "9-4A nonachord on C.mid" not found ... 3-4B
9-4B [0,1,2,4,5,6,7,8,9] Audio file "9-4B nonachord on C.mid" not found ... 3-4A
9-5A [0,1,2,3,4,6,7,8,9] <7,6,6,6,7,4> Audio file "9-5A nonachord on C.mid" not found ... 3-5B
9-5B [0,1,2,3,5,6,7,8,9] Audio file "9-5B nonachord on C.mid" not found ... 3-5A
9-6 [0,1,2,3,4,5,6,8,T] <6,8,6,7,6,3> Audio file "9-6 nonachord on C.mid" not found ... 3-6
9-7A [0,1,2,3,4,5,7,8,T] <6,7,7,6,7,3> Audio file "9-7A nonachord on C.mid" not found ... 3-7B
9-7B [0,1,3,4,5,6,7,8,T] [p] Audio file "9-7B nonachord on C.mid" not found ... 3-7A
9-8A [0,1,2,3,4,6,7,8,T] <6,7,6,7,6,4> Audio file "9-8A nonachord on C.mid" not found ... 3-8B
9-8B [0,1,2,4,5,6,7,8,T] [q] Audio file "9-8B nonachord on C.mid" not found ... 3-8A
9-9 [0,1,2,3,5,6,7,8,T] <6,7,6,6,8,3> Audio file "9-9 (quartal) nonachord on C.mid" not found blues scale 3-9
9-10 [0,1,2,3,4,6,7,9,T] <6,6,8,6,6,4> Audio file "9-10 nonachord on C.mid" not found ... 3-10
9-11A [0,1,2,3,5,6,7,9,T] <6,6,7,7,7,3> Audio file "9-11A nonachord on C.mid" not found ... 3-11B
9-11B [0,1,2,4,5,6,7,9,T] [r] Audio file "9-11B nonachord on C.mid" not found ... 3-11A
9-12 [0,1,2,4,5,6,8,9,T] <6,6,6,9,6,3> Audio file "9-12 nonachord on C.mid" not found ... 3-12
10-1 [0,1,2,3,4,5,6,7,8,9] <9,8,8,8,8,4> Audio file "10-1 (chromatic) decachord on C.mid" not found ... 2-1
10-2 [0,1,2,3,4,5,6,7,8,T] <8,9,8,8,8,4> Audio file "10-2 decachord on C.mid" not found ... 2-2
10-3 [0,1,2,3,4,5,6,7,9,T] <8,8,9,8,8,4> Audio file "10-3 decachord on C.mid" not found ... 2-3
10-4 [0,1,2,3,4,5,6,8,9,T] <8,8,8,9,8,4> Audio file "10-4 decachord on C.mid" not found ... 2-4
10-5 [0,1,2,3,4,5,7,8,9,T] <8,8,8,8,9,4> Audio file "10-5 decachord on C.mid" not found ... 2-5
10-6 [0,1,2,3,4,6,7,8,9,T] <8,8,8,8,8,5> Audio file "10-6 decachord on C.mid" not found ... 2-6
11-1 [0,1,2,3,4,5,6,7,8,9,T] <T,T,T,T,T,5> Audio file "11-1 (chromatic) undecachord on C.mid" not found ... 1-1
12-1 [0,1,2,3,4,5,6,7,8,9,T,E] <C,C,C,C,C,6> Audio file "12-1 (chromatic) dodecachord on C.mid" not found aggregate 0-1

There is an anomaly in Allen Forte's book concerning the numbering of the pair of hexachords 6-Z28, [011232516393], and 6-Z49, [011231437293], where adjacency intervals are shown here by subscripts. They both have the same span, with a minor-third at the right. But, within that span, the hexachord [0,1,3,4,7,9] is "more packed to the left" than [0,1,3,5,6,9], as seen by inspecting the left-hand adjacency-interval sequences, and therefore, according to Forte's own rule, the set [0,1,3,4,7,9] should have been assigned the lower number 6-Z28, with [0,1,3,5,6,9] given the higher number 6-Z49.

See also

References

Notes

  1. ^ Forte and Rahn both list prime forms as the most left-packed possible version of a set. However, Forte packs from the left and Rahn packs from the right ("making the small numbers smaller," versus making, "the larger numbers ... smaller"[2]).
  2. ^ Forte 5-20A: [0,1,3,7,8]
  3. ^ Forte 5-20B: [0,1,5,7,8]
  4. ^ Forte 5-32B: [0,1,4,7,9]
  5. ^ Forte 6-Z29: [0,1,3,6,8,9]
  6. ^ Forte 6-31A: [0,1,3,5,8,9]
  7. ^ Forte 6-31B: [0,1,4,6,8,9]
  8. ^ Forte 6-Z44B: [0,1,2,5,8,9]
  9. ^ Forte 7-Z18A: [0,1,2,3,5,8,9]
  10. ^ Forte 7-Z18B: [0,1,4,6,7,8,9]
  11. ^ Forte 7-20A: [0,1,2,4,7,8,9]
  12. ^ Forte 7-20B: [0,1,2,5,7,8,9]
  13. ^ Forte 8-22B: [0,1,2,3,5,7,9,T]
  14. ^ Forte 8-26: [0,1,2,4,5,7,9,T]
  15. ^ Forte 8-27B: [0,1,2,4,6,7,9,T]
  16. ^ Forte 9-7B: [0,1,2,3,4,5,7,9,T]
  17. ^ Forte 9-8B: [0,1,2,3,4,6,8,9,T]
  18. ^ Forte 9-11B: [0,1,2,3,5,6,8,9,T]

Sources

  1. ^ Forte, Allen (1973). The Structure of Atonal Music. Yale University Press. ISBN 0-300-02120-8.
  2. ^ Nelson, Paul (2004). "Two Algorithms for Computing the Prime Form", ComposerTools.com.
  3. ^ Rahn, John (1980). Basic Atonal Theory. New York: Longman. ISBN 978-0028731605.
  4. ^ Straus, Joseph N. (1990). Introduction to Post-Tonal Theory. Prentice-Hall. ISBN 9780131898905.
  5. ^ Schiff, David (1983/1998). The Music of Elliott Carter.
  6. ^ Carter, Elliott (2002). The Harmony Book, "Appendix 1". ISBN 9780825845949.
  7. ^ Schuijer, Michael (2008). Analyzing Atonal Music: Pitch-Class Set Theory and Its Contexts, p.97. University of Rochester. ISBN 978-1-58046-270-9.
  8. ^ Everett, Walter (2008). The Foundations of Rock, p.169. Oxford. ISBN 9780199718702.

External links

Online lists

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