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This is a list of pitch class sets by Forte number.〔Forte, Allen (1973). ''The Structure of Atonal Music''. Yale University Press. ISBN 0-300-02120-8.〕 For a list of ordered collections, see: list of tone rows and series. Sets are listed next to their complements. Inversions are marked "B" (sets not marked "A" or "B" are symmetrical). 10, 11, and 12 are listed as "T", "E", and "C". In the five instances they differ, the prime forms given are Rahn's (also used by Straus) rather than Forte's, which are given in footnotes.〔Rahn, John (1980). ''Basic Atonal Theory''. New York: Longman. ISBN 978-0028731605.〕〔Straus, Joseph N. (1990). ''Introduction to Post-Tonal Theory''. Prentice-Hall. ISBN 9780131898905.〕 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.〔Schiff, David (1983/1998). ''The Music of Elliott Carter''.〕〔Carter, Elliott (2002). ''The Harmony Book'', "Appendix 1". ISBN 9780825845949.〕 } || || || || ... |- | || || rowspan="2" | || rowspan="2" | 29 || || dominant 7th chord || 8-27B || || rowspan="2" | || rowspan="2" | || || ... |- | 4-27B || || || ... || || || || ... |- | || || || 5 || || dim. 7th chord || || || || || || octatonic scale |- | || || rowspan="2" | || rowspan="2" | 23 || || all-interval tetrachord || 8-z29B || || rowspan="2" | || rowspan="2" | || || ... |- | 4-z29B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || || || || ... || || || || 1 || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-2B || || rowspan="2" | || rowspan="2" | 11 || || ... |- style="background:#F5F5F5;" | 5-2B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-3B || || rowspan="2" | || rowspan="2" | 14 || || ... |- style="background:#F5F5F5;" | 5-3B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-4B || || rowspan="2" | || rowspan="2" | 12 || || ... |- style="background:#F5F5F5;" | 5-4B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-5B || || rowspan="2" | || rowspan="2" | 13 || || ... |- style="background:#F5F5F5;" | 5-5B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-6B || || rowspan="2" | || rowspan="2" | 27 || || ... |- style="background:#F5F5F5;" | 5-6B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-7B || || rowspan="2" | || rowspan="2" | 30 || || ... |- style="background:#F5F5F5;" | 5-7B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || || || || ... || || || || 2 || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-9B || || rowspan="2" | || rowspan="2" | 15 || || ... |- style="background:#F5F5F5;" | 5-9B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-10B || || rowspan="2" | || rowspan="2" | 19 || || ... |- style="background:#F5F5F5;" | 5-10B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-11B || || rowspan="2" | || rowspan="2" | 18 || || ... |- style="background:#F5F5F5;" | 5-11B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || || || || ... || || || || 5 || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-13B || || rowspan="2" | || rowspan="2" | 17 || || ... |- style="background:#F5F5F5;" | 5-13B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-14B || || rowspan="2" | || rowspan="2" | 28 || || ... |- style="background:#F5F5F5;" | 5-14B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || || || || ... || || || || 4 || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-16B || || rowspan="2" | || rowspan="2" | 20 || || ... |- style="background:#F5F5F5;" | 5-16B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || || || || Farben chord || || || || 10 || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || || }} || rowspan="2" | || rowspan="2" | 35 || || ... |- style="background:#F5F5F5;" | 5-z18B || || || ... || 7-z18B || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-19B || || rowspan="2" | || rowspan="2" | 31 || || ... |- style="background:#F5F5F5;" | 5-19B || || || ... || || || || ... |- style="background:#F5F5F5;" | || }} || rowspan="2" | || rowspan="2" | || || ... || 7-20B || || rowspan="2" | || rowspan="2" | 34 || || ... |- style="background:#F5F5F5;" | 5-20B || || || ... || || }} || || Persian scale |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-21B || || rowspan="2" | || rowspan="2" | 21 || || ... |- style="background:#F5F5F5;" | 5-21B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || || || || ... || || || || 8 || || double harmonic scale |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-23B || || rowspan="2" | || rowspan="2" | 25 || || ... |- style="background:#F5F5F5;" | 5-23B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-24B || || rowspan="2" | || rowspan="2" | 22 || || ... |- style="background:#F5F5F5;" | 5-24B || || || ... || || || || enigmatic scale |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-25B || || rowspan="2" | || rowspan="2" | 24 || || ... |- style="background:#F5F5F5;" | 5-25B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || || || rowspan="2" | || rowspan="2" | 26 || || ... |- style="background:#F5F5F5;" | 5-26B || || || ... || 7-26B || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-27B || || rowspan="2" | || rowspan="2" | 23 || || ... |- style="background:#F5F5F5;" | 5-27B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || || || rowspan="2" | || rowspan="2" | 36 || || ... |- style="background:#F5F5F5;" | 5-28B || || || ... || 7-28B || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-29B || || rowspan="2" | || rowspan="2" | 32 || || ... |- style="background:#F5F5F5;" | 5-29B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-30B || || rowspan="2" | || rowspan="2" | 37 || || ... |- style="background:#F5F5F5;" | 5-30B || || || ... || || || || minor Neapolitan scale |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-31B || || rowspan="2" | || rowspan="2" | 38 || || ... |- style="background:#F5F5F5;" | 5-31B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || Elektra chord || 7-32B || || rowspan="2" | || rowspan="2" | 33 || || ... |- style="background:#F5F5F5;" | 5-32B || || || ... || || || || harmonic minor scale |- style="background:#F5F5F5;" | || || || || || ... || || || || 6 || || M Locrian scale |- style="background:#F5F5F5;" | || || || || || ... || || || || 9 || || half dim. scale |- style="background:#F5F5F5;" | || || || || || M pentatonic scale || || || || 7 || || diatonic scale |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-z36B || || rowspan="2" | || rowspan="2" | 16 || || ... |- style="background:#F5F5F5;" | 5-z36B || || || ... || || || || ... |- style="background:#F5F5F5;" | || || || || || ... || || || || 3 || || ... |- style="background:#F5F5F5;" | || || rowspan="2" | || rowspan="2" | || || ... || 7-z38B || || rowspan="2" | || rowspan="2" | 29 || || ... |- style="background:#F5F5F5;" | 5-z38B || || || ... || || || || ... |- | || || || 4 || || chromatic hexachord ||colspan="6" rowspan="3"| |- | || || rowspan="2" | || rowspan="2" | 19 || || ... |- | 6-2B || || || ... |- | || || rowspan="2" | || rowspan="2" | 49 || || ... || 6-z36B || || rowspan="2" | || rowspan="2" | 50 || || ... |- | 6-z3B || || || ... || || || || ... |- | || || || 24 || || ... || || || || 23 || || ... |- | || || rowspan="2" | || rowspan="2" | 16 || || ... ||colspan="6" rowspan="2"| |- | 6-5B || || || ... |- | || || || 33 || || ... || || || || 34 || || ... |- | || || || 7 || || ... ||colspan="6" rowspan="4"| |- | || || || 5 || || ... |- | || || rowspan="2" | || rowspan="2" | 20 || || ... |- | 6-9B || || || ... |- | || || rowspan="2" | || rowspan="2" | 42 || || ... || 6-z39B || || rowspan="2" | || rowspan="2" | 41 || || ... |- | 6-z10B || || || ... || || || || ... |- | || || rowspan="2" | || rowspan="2" | 47 || || Sacher hexachord || 6-z40B || || rowspan="2" | || rowspan="2" | 48 || || ... |- | 6-z11B || || || ... || || || || ... |- | || || rowspan="2" | || rowspan="2" | 46 || || ... || 6-z41B || || rowspan="2" | || rowspan="2" | 45 || || ... |- | 6-z12B || || || ... || || || || ... |- | || || || 29 || || ... || || || || 30 || || ... |- | || || rowspan="2" | || rowspan="2" | 3 || || ... ||colspan="6" rowspan="6"| |- | 6-14B || || || ... |- | || || rowspan="2" | || rowspan="2" | 13 || || ... |- | 6-15B || || || ... |- | || || rowspan="2" | || rowspan="2" | 11 || || ... |- | 6-16B || || || ... |- | || || rowspan="2" | || rowspan="2" | 35 || || all-trichord hexachord || 6-z43B || || rowspan="2" | || rowspan="2" | 36 || || ... |- | 6-z17B || || || ... || || || || ... |- | || || rowspan="2" | || rowspan="2" | 17 || || ... ||colspan="6" rowspan="2"| |- | 6-18B || || || ... |- | || || rowspan="2" | || rowspan="2" | 37 || || ... || 6-z44B || || rowspan="2" | || rowspan="2" | 38 || || ... |- | 6-z19B || || || ... || || || || Schoenberg hexachord |- | || || || 2 || || "Ode-to-Napoleon" hexachord ||colspan="6" rowspan="5"| |- | || || rowspan="2" | || rowspan="2" | 12 || || ... |- | 6-21B || || || ... |- | || || rowspan="2" | || rowspan="2" | 10 || || ... |- | 6-22B || || || ... |- | || || || 27 || || ... || || || || 28 || || ... |- | || || rowspan="2" | || rowspan="2" | 39 || || ... || 6-z46B || ||rowspan="2" | || rowspan="2" | 40 || || ... |- | 6-z24B || || || ... || || || || ... |- | || || rowspan="2" | || rowspan="2" | 43 || || ... || 6-z47B || || rowspan="2" | || rowspan="2" | 44 || || ... |- | 6-z25B || || || ... || || || || blues scale |- | || || || 26 || || ... || || || || 25 || || ... |- | || || rowspan="2" | || rowspan="2" | 14 || || ... ||colspan="6" rowspan="2"| |- | 6-27B || || || ... |- | || || || 21 || || ... || || || || 22 || || ... |- | || }} || || 32 || || Bridge chord || || || || 31 || || ... |- | || || rowspan="2" | || rowspan="2" | 15 || || Petrushka chord ||colspan="6" rowspan="10"| |- | 6-30B || || || ... |- | || }} || rowspan="2" | || rowspan="2" | 8 || || ... |- | 6-31B || }} || || ... |- | || || || 6 || || diatonic hexachord |- | || || rowspan="2" | || rowspan="2" | 18 || || ... |- | 6-33B || || || ... |- | || || rowspan="2" | || rowspan="2" | 9 || || mystic chord |- | 6-34B || || || ... |- | || || || 1 || || whole tone scale |} ==See also== *Interval vector *List of chords *Z-relation 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「List of pitch class sets」の詳細全文を読む スポンサード リンク
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