4-Z15 All-Interval Tetrachord (see also 4-Z29) 4-Z29 All-Interval Tetrachord (see also 4-Z15) 6-Z17 All-Trichord Hexachord 8-Z15 All-Tetrachord Octochord (see also 8-Z29) 8-Z29 All-Tetrachord Octochord (see also 8-Z15) 6-1 A-Type All-Combinatorial Hexachord 6-8 B-Type All-Combinatorial Hexachord 6-32 C-Type All-Combinatorial Hexachord 6-7 D-Type All-Combinatorial Hexachord 6-20 E-Type All-Combinatorial Hexachord 6-35 F-Type All-Combinatorial Hexachord 7-35 diatonic collection (d) 7-34 ascending melodic minor collection 8-28 octotonic collection (Messiaen Mode II) 6-35 wholetone collection 3-10 diminished triad 3-11 major/minor triad 3-12 augmented triad 4-19 minor major-seventh chord 4-20 major-seventh chord 4-25 french augmented sixth chord 4-28 dimished-seventh chord 4-26 minor-seventh chord 4-27 half-dimished seventh(P)/dominant-seventh(I) chord 6-30 Petrushka Chord {0476a1}, two members of 3-11 at T6 6-34 Mystic Chord {06a492} 6-Z44 Schoenberg Signature Set, two members of 3-3 at T5 or T7 6-Z19 complement of 6-Z44, two members of 3-11 at T1 or TB 9-12 Messiaen Mode III (nontonic collection) 8-9 Messian Mode IV 7-31 The only seven-element subset of 8-28. 5-31 The only five-element superset of 4-28. 5-33 The only five-element subset of 6-35. 7-33 The only seven-element superset of 6-35. 5-21 The only five-element subset of 6-20. 7-21 The only seven-element superset of 6-20. 5-25 The only five-element subset of both 7-35 and 8-28. 6-14 Any non-intersecting union of 3-6 and 3-12.