Tone Clock · Set classes · 5 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 1 | 2 | 2 | 1 | 3 | 1 |
Every set in the class holds one semitone, two whole tones, two minor thirds, one major third, three fourths and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 1 | 2 | 2 | 1 | 3 | 2 | 3 | 1 | 2 | 2 | 1 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 2 | 3 | 2 | 3 | 0 | 3 | 2 | 2 | 4 | 0 | 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.
01368
- 01368C C# D# F# G#
- 12479C# D E G A
- 2358tD D# F G# Bb
- 3469eD# E F# A B
- 0457tE F G Bb C
- 1568eF F# G# B C#
- 02679F# G A C D
- 1378tG G# Bb C# D#
- 2489eG# A B D E
- 0359tA Bb C D# F
- 146teBb B C# E F#
- 0257eB C D F G
02578
Relations
- Complement
- 7-29 0124679
- 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 · 2-3 ×2 · 2-4 · 2-5 ×3 · 2-6
3 notes: 3-2 · 3-4 · 3-5 · 3-7 ×2 · 3-8 · 3-9 ×2 · 3-10 · 3-11
- Around it
- 6-18 · 6-Z24 · 6-Z25 · 6-Z29 · 6-33 · 6-Z41 · 6-Z47 · and 57 larger classes