Theory
ResearchFrontier structures and internal systems

4-25

French augmented sixth chord

Cardinality
4

Prime Form

Prime form pitch class clockC0C#D2D#EFF#6GG#8AA#B[0,2,6,8]4 pitch classes
T0

Interval Vector

<0,2,0,2,0,2> (sum: 6)
0
ic1
2
ic2
0
ic3
2
ic4
0
ic5
2
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
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

All Transpositions

LevelPitch ClassesNote 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