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Table of Pitch Class Sets

27/11/12 19:10

The Table of Pitch Class Sets copyright © 1997, rev 2005 by Larry Solomon

About this table Key to symbols

Note: to locate a prime form quickly, use your find (Ctrl-F) or search button and enter your set-name, prime form, or descriptive name with no spaces, e.g., 6-34, 013579, or "mystic chord". #

Prime

Interval Vector

Descriptive name/properties

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Forte crossreferenced Setname 0-1 1-1* 2-1* 2-2* 2-3* 2-4* 2-5* 2-6*(6) 3-1* 3-2 3-2B 3-3 3-3B 3-4 3-4B 3-5 3-5B 3-6* 3-7 3-7B 3-8

empty 0 01 02 03 04 05 06 012 013 023 014 034 015 045 016 056 024 025 035 026

000000 000000 100000 010000 001000 000100 000010 000001 210000 111000 111000 101100 101100 100110 100110 100011 100011 020100 011010 011010 010101

21 22

3-8B 3-9*

046 027

010101 010020

Null set Unison Semitone Whole-tone Minor Third Major Third Perfect Fourth Tritone BACH /Chromatic Trimirror Phrygian Trichord Minor Trichord Major-minor Trichord.1 Major-minor Trichord.2 Incomplete Major-seventh Chord.1 Incomplete Major-seventh Chord.2 Rite chord.2, Tritone-fourth.1 Rite chord.1, Tritone-fourth.2 Whole-tone Trichord Incomplete Minor-seventh Chord Incomplete Dominant-seventh Chord.2 Incomplete Dominant-seventh Chord.1/Italian-sixth Incomplete Half-dim-seventh Chord Quartal Trichord

http://solomonsmusic.net/pcsets.htm

Pagina 1 di 14

Table of Pitch Class Sets

27/11/12 19:10

23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39

3-10* 3-11 3-11B 3-12*(4) 4-1* 4-2 4-2B 4-3* 4-4 4-4B 4-5 4-5B 4-6* 4-7* 4-8* 4-9*(6) 4-10*

036 037 047 048 0123 0124 0234 0134 0125 0345 0126 0456 0127 0145 0156 0167 0235

002001 001110 001110 000300 321000 221100 221100 212100 211110 211110 210111 210111 210021 201210 200121 200022 122010

Diminished Chord Minor Chord Major Chord Augmented Chord BACH /Chromatic Tetramirror Major-second Tetracluster.2 Major-second Tetracluster.1 Alternating Tetramirror Minor Third Tetracluster.2 Minor Third Tetracluster.1 Major Third Tetracluster.2 Major Third Tetracluster.1 Perfect Fourth Tetramirror Arabian Tetramirror Double Fourth Tetramirror Double Tritone Tetramirror Minor Tetramirror

40 41

4-11 4-11B

0135 0245

121110 121110

Phrygian Tetrachord Major Tetrachord

42 43

4-12< 4-12B