Theory
ResearchFrontier structures and internal systems

4-18

Diminished major seventh / Augmented sixth chord

Cardinality
4

Prime Form

Prime form pitch class clockC0C#1DD#E4FF#G7G#AA#B[0,1,4,7]4 pitch classes
T0

Interval Vector

<1,0,2,1,1,1> (sum: 6)
1
ic1
0
ic2
2
ic3
1
ic4
1
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,4,7]
Interval Vector
<1,0,2,1,1,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-3-3-5
Intervals: H-3-3-5

All Transpositions

LevelPitch ClassesNote Names
T0[0,1,4,7]C C# E G
T1[1,2,5,8]C# D F G#
T2[2,3,6,9]D D# F# A
T3[3,4,7,10]D# E G A#
T4[4,5,8,11]E F G# B
T5[0,5,6,9]C F F# A
T6[1,6,7,10]C# F# G A#
T7[2,7,8,11]D G G# B
T8[0,3,8,9]C D# G# A
T9[1,4,9,10]C# E A A#
T10[2,5,10,11]D F A# B
T11[0,3,6,11]C D# F# B