Tone Clock · Set classes · 6 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 3 | 1 | 3 | 4 | 3 | 1 |
Every set in the class holds three semitones, one whole tone, three minor thirds, four major thirds, three fourths and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 6 | 3 | 1 | 3 | 4 | 3 | 2 | 3 | 4 | 3 | 1 | 3 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 2 | 2 | 4 | 5 | 2 | 1 | 4 | 5 | 2 | 2 | 4 |
Notes a set keeps when inverted about n.
Its 24 sets
Set theory treats D# and Eb as one pitch class; the names under each set use one fixed spelling, sharps except Bb.
013478
- 013478C C# D# E G G#
- 124589C# D E F G# A
- 23569tD D# F F# A Bb
- 3467teD# E F# G Bb B
- 04578eE F G G# B C
- 015689F F# G# A C C#
- 12679tF# G A Bb C# D
- 2378teG G# Bb B D D#
- 03489eG# A B C D# E
- 01459tA Bb C C# E F
- 1256teBb B C# D F F#
- 02367eB C D D# F# G
014578
Relations
- Complement
- 6-Z44 012569
- Z-partner
- 6-Z44, the same interval vector in another class
- Symmetry
- none: only T0 maps it onto itself
- Inside it
2 notes: 2-1 ×3 · 2-2 · 2-3 ×3 · 2-4 ×4 · 2-5 ×3 · 2-6
3 notes: 3-2 ×2 · 3-3 ×4 · 3-4 ×4 · 3-5 ×2 · 3-8 · 3-9 · 3-10 · 3-11 ×4 · 3-12
4 notes: 4-3 · 4-7 · 4-8 · 4-12 · 4-14 ×2 · 4-16 · 4-17 · 4-18 ×2 · 4-19 ×3 · 4-20 · 4-Z29
- Around it
- 7-6 · 7-21 · 7-22 · 7-32 · 7-Z37 · 7-Z38 · and 28 larger classes