ResearchFrontier structures and internal systems
4-25
French augmented sixth chord
Cardinality
4
Prime Form
T0
Interval Vector
Prime Form
[0,2,6,8]
Interval Vector
<0,2,0,2,0,2>
T-Symmetry
2 (limited transposition)
Invariant at T: 0, 6
I-Symmetry
2 (inversionally symmetric)
Invariant at I: 2, 8
Step Pattern
2-4-2-4
Intervals: W-4-W-4
Complement
8-25card 8
[0,1,2,4,6,7,8,10]
All Transpositions
| Level | Pitch Classes | Note Names |
|---|---|---|
| T0 | [0,2,6,8] | C D F# G# |
| T1 | [1,3,7,9] | C# D# G A |
| T2 | [2,4,8,10] | D E G# A# |
| T3 | [3,5,9,11] | D# F A B |
| T4 | [0,4,6,10] | C E F# A# |
| T5 | [1,5,7,11] | C# F G B |
| T6(invariant) | [0,2,6,8] | C D F# G# |
| T7 | [1,3,7,9] | C# D# G A |
| T8 | [2,4,8,10] | D E G# A# |
| T9 | [3,5,9,11] | D# F A B |
| T10 | [0,4,6,10] | C E F# A# |
| T11 | [1,5,7,11] | C# F G B |