Tone Clock · Set classes · 6 notes
One shape, its own mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 3 | 4 | 3 | 2 | 3 | 0 |
Every set in the class holds three semitones, four whole tones, three minor thirds, two major thirds, three fourths and no tritones.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 6 | 3 | 4 | 3 | 2 | 3 | 0 | 3 | 2 | 3 | 4 | 3 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 0 | 3 | 2 | 3 | 4 | 3 | 6 | 3 | 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.
023457
Relations
- Complement
- 6-8 023457
- 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 ×3 · 2-2 ×4 · 2-3 ×3 · 2-4 ×2 · 2-5 ×3
3 notes: 3-1 ×2 · 3-2 ×4 · 3-3 ×2 · 3-4 ×2 · 3-6 ×2 · 3-7 ×4 · 3-9 ×2 · 3-11 ×2
4 notes: 4-1 · 4-2 ×2 · 4-4 ×2 · 4-10 ×2 · 4-11 ×2 · 4-14 ×2 · 4-17 · 4-22 ×2 · 4-23
- Around it
- 7-2 ×2 · 7-11 ×2 · 7-23 ×2 · and 24 larger classes