Tone Clock · Set classes · 7 notes
One shape, its own mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 6 | 5 | 4 | 3 | 2 | 1 |
Every set in the class holds six semitones, five whole tones, four minor thirds, three major thirds, two fourths and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 7 | 6 | 5 | 4 | 3 | 2 | 2 | 2 | 3 | 4 | 5 | 6 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 2 | 3 | 4 | 5 | 6 | 7 | 6 | 5 | 4 | 3 | 2 |
Notes a set keeps when inverted about n.
Its 12 sets
Set theory treats D# and Eb as one pitch class; the names under each set use one fixed spelling, sharps except Bb.
0123456
Relations
- Complement
- 5-1 01234
- Z-partner
- none: no other class has this interval vector
- Symmetry
- T0 and one inversion map it onto itself
- Inside it
2 notes: 2-1 ×6 · 2-2 ×5 · 2-3 ×4 · 2-4 ×3 · 2-5 ×2 · 2-6
3 notes: 3-1 ×5 · 3-2 ×8 · 3-3 ×6 · 3-4 ×4 · 3-5 ×2 · 3-6 ×3 · 3-7 ×4 · 3-8 ×2 · 3-10
4 notes: 4-1 ×4 · 4-2 ×6 · 4-3 ×3 · 4-4 ×4 · 4-5 ×2 · 4-7 ×2 · 4-8 · 4-10 ×2 · 4-11 ×4 · 4-12 ×2 · 4-13 ×2 · 4-Z15 ×2 · 4-21
5 notes: 5-1 ×3 · 5-2 ×4 · 5-3 ×4 · 5-4 ×2 · 5-6 ×2 · 5-8 · 5-9 ×2 · 5-10 ×2 · 5-Z12
- Around it
- 8-1 ×2 · 8-2 ×2 · 8-3 · and 10 larger classes