Tone Clock · Set classes · 5 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 1 | 3 | 1 | 2 | 2 | 1 |
Every set in the class holds one semitone, three whole tones, one minor third, two major thirds, two fourths and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 1 | 3 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 3 | 1 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 2 | 2 | 2 | 2 | 2 | 3 | 2 | 4 | 0 | 3 | 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.
01357
- 01357C C# D# F G
- 12468C# D E F# G#
- 23579D D# F G A
- 3468tD# E F# G# Bb
- 4579eE F G A B
- 0568tF F# G# Bb C
- 1679eF# G A B C#
- 0278tG G# Bb C D
- 1389eG# A B C# D#
- 0249tA Bb C D E
- 135teBb B C# D# F
- 0246eB C D E F#
02467
Relations
- Complement
- 7-24 0123579
- Z-partner
- none: no other class has this interval vector
- Symmetry
- none: only T0 maps it onto itself
- Inside it
2 notes: 2-1 · 2-2 ×3 · 2-3 · 2-4 ×2 · 2-5 ×2 · 2-6
3 notes: 3-2 · 3-4 · 3-5 · 3-6 ×2 · 3-7 · 3-8 ×2 · 3-9 · 3-11
- Around it
- 6-9 · 6-Z10 · 6-Z12 · 6-22 · 6-Z26 · 6-33 · 6-34 · and 59 larger classes