Tone Clock · Set classes · 6 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 3 | 2 | 3 | 4 | 3 | 0 |
Every set in the class holds three semitones, two whole tones, three minor thirds, four major thirds, three fourths and no tritones.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 6 | 3 | 2 | 3 | 4 | 3 | 0 | 3 | 4 | 3 | 2 | 3 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 4 | 1 | 2 | 5 | 4 | 3 | 2 | 5 | 4 | 1 | 2 |
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.
013458
- 013458C C# D# E F G#
- 124569C# D E F F# A
- 23567tD D# F F# G Bb
- 34678eD# E F# G G# B
- 045789E F G G# A C
- 15689tF F# G# A Bb C#
- 2679teF# G A Bb B D
- 0378teG G# Bb B C D#
- 01489eG# A B C C# E
- 01259tA Bb C C# D F
- 1236teBb B C# D D# F#
- 02347eB C D D# E G
034578
Relations
- Complement
- 6-14 013458
- 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 ×2 · 2-3 ×3 · 2-4 ×4 · 2-5 ×3
3 notes: 3-1 · 3-2 ×2 · 3-3 ×4 · 3-4 ×4 · 3-6 · 3-7 ×2 · 3-9 · 3-11 ×4 · 3-12
4 notes: 4-2 · 4-3 · 4-4 ×2 · 4-7 · 4-11 · 4-14 ×2 · 4-17 · 4-19 ×3 · 4-20 · 4-22 · 4-26
- Around it
- 7-3 · 7-11 · 7-Z17 · 7-21 · 7-27 · 7-Z37 · and 27 larger classes