Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

4-28

Diminished seventh chord

Cardinality
4

Prime Form

Prime form pitch class clockC0C#DD#3EFF#6GG#A9A#B[0,3,6,9]4 pitch classes
T0

Interval Vector

<0,0,4,0,0,2> (sum: 6)
0
ic1
0
ic2
4
ic3
0
ic4
0
ic5
2
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,3,6,9]
Interval Vector
<0,0,4,0,0,2>
T-Symmetry
4 (limited transposition)
Invariant at T: 0, 3, 6, 9
I-Symmetry
4 (inversionally symmetric)
Invariant at I: 0, 3, 6, 9

Step Pattern

3-3-3-3
Intervals: 3-3-3-3

Complement

8-28card 8
[0,1,3,4,6,7,9,10]
Octatonic scale

All Transpositions

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