Tone Clock · Set classes · 5 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 3 | 2 | 2 | 1 | 1 | 1 |
Every set in the class holds three semitones, two whole tones, two minor thirds, one major third, one fourth and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 3 | 2 | 2 | 1 | 1 | 2 | 1 | 1 | 2 | 2 | 3 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 2 | 3 | 4 | 3 | 2 | 3 | 2 | 2 | 2 | 0 | 0 |
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.
01236
- 01236C C# D D# F#
- 12347C# D D# E G
- 23458D D# E F G#
- 34569D# E F F# A
- 4567tE F F# G Bb
- 5678eF F# G G# B
- 06789F# G G# A C
- 1789tG G# A Bb C#
- 289teG# A Bb B D
- 039teA Bb B C D#
- 014teBb B C C# E
- 0125eB C C# D F
03456
Relations
- Complement
- 7-4 0123467
- 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 ×2 · 2-4 · 2-5 · 2-6
3 notes: 3-1 ×2 · 3-2 ×2 · 3-3 · 3-4 · 3-5 · 3-7 · 3-8 · 3-10
- Around it
- 6-2 · 6-Z3 · 6-5 · 6-Z36 · 6-Z39 · 6-Z41 · 6-Z42 · and 57 larger classes