Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

7-32

Harmonic minor / Harmonic major

Cardinality
7

Prime Form

Prime form pitch class clockC0C#1DD#3E4FF#6GG#8A9A#B[0,1,3,4,6,8,9]7 pitch classes
T0

Interval Vector

<3,3,5,4,4,2> (sum: 21)
3
ic1
3
ic2
5
ic3
4
ic4
4
ic5
2
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,3,4,6,8,9]
Interval Vector
<3,3,5,4,4,2>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-2-1-2-2-1-3
Intervals: H-W-H-W-W-H-3

Complement

5-32card 5
[0,1,4,6,9]

All Transpositions

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