Tone Clock · Set classes · 6 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 1 | 4 | 3 | 2 | 4 | 1 |
Every set in the class holds one semitone, four whole tones, three minor thirds, two major thirds, four fourths and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 6 | 1 | 4 | 3 | 2 | 4 | 2 | 4 | 2 | 3 | 4 | 1 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 | 0 | 5 | 2 | 3 | 4 | 2 | 4 | 2 | 4 | 3 | 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.
023579
- 023579C D D# F G A
- 13468tC# D# E F# G# Bb
- 24579eD E F G A B
- 03568tD# F F# G# Bb C
- 14679eE F# G A B C#
- 02578tF G G# Bb C D
- 13689eF# G# A B C# D#
- 02479tG A Bb C D E
- 1358teG# Bb B C# D# F
- 02469eA B C D E F#
- 01357tBb C C# D# F G
- 12468eB C# D E F# G#
024679
Relations
- Complement
- 6-33 023579
- 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 ×4 · 2-3 ×3 · 2-4 ×2 · 2-5 ×4 · 2-6
3 notes: 3-2 ×2 · 3-4 · 3-5 · 3-6 ×2 · 3-7 ×5 · 3-8 ×2 · 3-9 ×3 · 3-10 · 3-11 ×3
4 notes: 4-10 · 4-11 · 4-13 · 4-14 · 4-16 · 4-21 · 4-22 ×3 · 4-23 ×2 · 4-26 · 4-27 ×2 · 4-Z29
- Around it
- 7-23 · 7-24 · 7-25 · 7-29 · 7-34 · 7-35 · and 28 larger classes