Tone Clock · Set classes · 6 notes
Two shapes, each the other’s mirror
Interval content
| ic1 | ic2 | ic3 | ic4 | ic5 | ic6 |
|---|---|---|---|---|---|
| 3 | 1 | 3 | 4 | 3 | 1 |
Every set in the class holds three semitones, one whole tone, three minor thirds, four major thirds, three fourths and one tritone.
Common tones
| T0 | T1 | T2 | T3 | T4 | T5 | T6 | T7 | T8 | T9 | T10 | T11 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 6 | 3 | 1 | 3 | 4 | 3 | 2 | 3 | 4 | 3 | 1 | 3 |
Notes a set keeps when transposed by n.
| T0I | T1I | T2I | T3I | T4I | T5I | T6I | T7I | T8I | T9I | T10I | T11I |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | 2 | 5 | 4 | 1 | 2 | 5 | 4 | 2 | 2 | 3 | 4 |
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.
012569
- 012569C C# D F F# A
- 12367tC# D D# F# G Bb
- 23478eD D# E G G# B
- 034589D# E F G# A C
- 14569tE F F# A Bb C#
- 2567teF F# G Bb B D
- 03678eF# G G# B C D#
- 014789G G# A C C# E
- 12589tG# A Bb C# D F
- 2369teA Bb B D D# F#
- 0347teBb B C D# E G
- 01458eB C C# E F G#
014569
Relations
- Complement
- 6-Z19 013478
- Z-partner
- 6-Z19, the same interval vector in another class
- Symmetry
- none: only T0 maps it onto itself
- Inside it
2 notes: 2-1 ×3 · 2-2 · 2-3 ×3 · 2-4 ×4 · 2-5 ×3 · 2-6
3 notes: 3-1 · 3-3 ×4 · 3-4 ×4 · 3-5 ×2 · 3-7 ×2 · 3-8 · 3-10 · 3-11 ×4 · 3-12
4 notes: 4-4 ×2 · 4-5 · 4-7 · 4-8 · 4-Z15 · 4-17 · 4-18 ×2 · 4-19 ×3 · 4-20 · 4-26 · 4-27
- Around it
- 7-16 · 7-Z17 · 7-Z18 · 7-20 · 7-21 · 7-22 · and 28 larger classes