Tone Clock · Set classes · 7 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 3 | 4 | 4 | 3 | 5 | 2 |
Every set in the class holds three semitones, four whole tones, four minor thirds, three major thirds, five fourths and two tritones.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 7 | 3 | 4 | 4 | 3 | 5 | 4 | 5 | 3 | 4 | 4 | 3 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 6 | 4 | 4 | 5 | 2 | 5 | 4 | 5 | 4 | 4 | 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.
0124679
- 0124679C C# D E F# G A
- 123578tC# D D# F G G# Bb
- 234689eD D# E F# G# A B
- 034579tD# E F G A Bb C
- 14568teE F F# G# Bb B C#
- 025679eF F# G A B C D
- 013678tF# G G# Bb C C# D#
- 124789eG G# A B C# D E
- 023589tG# A Bb C D D# F
- 13469teA Bb B C# D# E F#
- 02457teBb B C D E F G
- 013568eB C C# D# F F# G#
0235789
Relations
- Complement
- 5-29 01368
- Z-partner
- none: no other class has this interval vector
- Symmetry
- none: only T0 maps it onto itself
- Inside it
2 notes: 2-1 ×3 · 2-2 ×4 · 2-3 ×4 · 2-4 ×3 · 2-5 ×5 · 2-6 ×2
3 notes: 3-1 · 3-2 ×3 · 3-3 ×2 · 3-4 ×3 · 3-5 ×5 · 3-6 ×2 · 3-7 ×6 · 3-8 ×3 · 3-9 ×3 · 3-10 ×2 · 3-11 ×5
4 notes: 4-2 · 4-4 · 4-5 · 4-6 · 4-8 · 4-9 · 4-10 · 4-11 ×2 · 4-13 ×3 · 4-14 ×2 · 4-Z15 ×2 · 4-16 ×2 · 4-17 · 4-18 ×2 · 4-20 · 4-21 · 4-22 ×3 · 4-23 ×2 · 4-26 ×2 · 4-27 ×3 · 4-Z29 ×2
5 notes: 5-7 · 5-9 · 5-11 · 5-Z12 · 5-14 · 5-19 ×2 · 5-20 · 5-23 · 5-24 · 5-25 ×2 · 5-27 · 5-29 ×2 · 5-32 ×2 · 5-34 · 5-35 · 5-Z36 · 5-Z38
6 notes: 6-Z12 · 6-18 · 6-Z25 · 6-33 · 6-Z46 · 6-Z47 · 6-Z50
- Around it
- 8-13 · 8-14 · 8-16 · 8-23 · 8-27 · and 16 larger classes