Tone Clock · Set classes · 5 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 1 | 3 | 2 | 1 | 3 | 0 |
Every set in the class holds one semitone, three whole tones, two minor thirds, one major third, three fourths and no tritones.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 1 | 3 | 2 | 1 | 3 | 0 | 3 | 1 | 2 | 3 | 1 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 0 | 3 | 2 | 1 | 4 | 1 | 4 | 2 | 2 | 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.
02357
- 02357C D D# F G
- 13468C# D# E F# G#
- 24579D E F G A
- 3568tD# F F# G# Bb
- 4679eE F# G A B
- 0578tF G G# Bb C
- 1689eF# G# A B C#
- 0279tG A Bb C D
- 138teG# Bb B C# D#
- 0249eA B C D E
- 0135tBb C C# D# F
- 1246eB C# D E F#
02457
Relations
- Complement
- 7-23 0234579
- 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 · 2-4 · 2-5 ×3
- Around it
- 6-8 · 6-9 · 6-Z11 · 6-Z24 · 6-Z25 · 6-32 · 6-33 · and 54 larger classes