Tone Clock · Set classes · 5 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 2 | 2 | 1 | 3 | 1 | 1 |
Every set in the class holds two semitones, two whole tones, one minor third, three major thirds, one fourth and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 2 | 2 | 1 | 3 | 1 | 2 | 1 | 3 | 1 | 2 | 2 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 2 | 3 | 2 | 4 | 2 | 2 | 0 | 3 | 2 | 2 | 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.
01248
- 01248C C# D E G#
- 12359C# D D# F A
- 2346tD D# E F# Bb
- 3457eD# E F G B
- 04568E F F# G# C
- 15679F F# G A C#
- 2678tF# G G# Bb D
- 3789eG G# A B D#
- 0489tG# A Bb C E
- 159teA Bb B C# F
- 026teBb B C D F#
- 0137eB C C# D# G
02348
Relations
- Complement
- 7-13 0124568
- 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 · 2-2 ×2 · 2-3 · 2-4 ×3 · 2-5 · 2-6
3 notes: 3-1 · 3-2 · 3-3 · 3-4 · 3-5 · 3-6 · 3-8 ×2 · 3-11 · 3-12
- Around it
- 6-15 · 6-16 · 6-Z17 · 6-21 · 6-22 · 6-Z37 · 6-Z39 · and 58 larger classes