Tone Clock · Set classes · 7 notes
One shape, its own mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 4 | 3 | 4 | 5 | 4 | 1 |
Every set in the class holds four semitones, three whole tones, four minor thirds, five major thirds, four fourths and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 7 | 4 | 3 | 4 | 5 | 4 | 2 | 4 | 5 | 4 | 3 | 4 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 4 | 2 | 4 | 5 | 4 | 3 | 4 | 7 | 4 | 3 | 4 |
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.
0134578
Relations
- Complement
- 5-Z37 03458
- Z-partner
- 7-Z17, the same interval vector in another class
- Symmetry
- T0 and one inversion map it onto itself
- Inside it
2 notes: 2-1 ×4 · 2-2 ×3 · 2-3 ×4 · 2-4 ×5 · 2-5 ×4 · 2-6
3 notes: 3-1 · 3-2 ×4 · 3-3 ×6 · 3-4 ×6 · 3-5 ×2 · 3-6 ×2 · 3-7 ×2 · 3-8 ×2 · 3-9 ×2 · 3-10 · 3-11 ×6 · 3-12
4 notes: 4-2 ×2 · 4-3 ×2 · 4-4 ×2 · 4-7 ×2 · 4-8 · 4-11 ×2 · 4-12 ×2 · 4-14 ×4 · 4-16 ×2 · 4-17 ×2 · 4-18 ×2 · 4-19 ×4 · 4-20 ×2 · 4-21 · 4-22 ×2 · 4-26 · 4-Z29 ×2
5 notes: 5-3 ×2 · 5-8 · 5-11 ×2 · 5-16 ×2 · 5-Z17 ×2 · 5-Z18 ×2 · 5-20 ×2 · 5-21 ×2 · 5-22 · 5-24 ×2 · 5-27 ×2 · 5-Z37
- Around it
- 8-4 ×2 · 8-19 ×2 · 8-26 · and 13 larger classes