Tone Clock · Set classes · 5 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 1 | 1 | 3 | 2 | 2 | 1 |
Every set in the class holds one semitone, one whole tone, three minor thirds, two major thirds, two fourths and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 1 | 1 | 3 | 2 | 2 | 2 | 2 | 2 | 3 | 1 | 1 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 4 | 1 | 2 | 2 | 2 | 3 | 2 | 1 | 2 | 4 | 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.
01469
- 01469C C# E F# A
- 1257tC# D F G Bb
- 2368eD D# F# G# B
- 03479D# E G A C
- 1458tE F G# Bb C#
- 2569eF F# A B D
- 0367tF# G Bb C D#
- 1478eG G# B C# E
- 02589G# A C D F
- 1369tA Bb C# D# F#
- 247teBb B D E G
- 0358eB C D# F G#
02569
Relations
- Complement
- 7-32 0134689 · harmonic minor scale
- 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 · 2-3 ×3 · 2-4 ×2 · 2-5 ×2 · 2-6
- Around it
- 6-27 · 6-31 · 6-Z44 · 6-Z46 · 6-Z47 · 6-Z49 · 6-Z50 · and 56 larger classes