Tone Clock · Set classes · 3 notes
One shape, its own mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 0 | 0 | 0 | 3 | 0 | 0 |
Every set in the class holds no semitones, no whole tones, no minor thirds, three major thirds, no fourths and no tritones.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 3 | 0 | 0 | 0 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 3 | 0 | 0 | 0 |
Notes a set keeps when inverted about n.
Its 4 sets
Set theory treats D# and Eb as one pitch class; the names under each set use one fixed spelling, sharps except Bb.
048 · augmented triad
Relations
- Complement
- 9-12 01245689t · enneatonic scale (Messiaen mode 3)
- Z-partner
- none: no other class has this interval vector
- Symmetry
- 3 transpositions and 3 inversions map it onto itself
- Inside it
2 notes: 2-4 ×3
- Around it
- 4-19 ×6 · 4-24 ×3 · and 90 larger classes