Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

8-22

Cardinality
8

Prime Form

Prime form pitch class clockC0C#1D2D#3EF5F#6GG#8AA#10B[0,1,2,3,5,6,8,10]8 pitch classes
T0

Interval Vector

<4,6,5,5,6,2> (sum: 28)
4
ic1
6
ic2
5
ic3
5
ic4
6
ic5
2
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,5,6,8,10]
Interval Vector
<4,6,5,5,6,2>
T-Symmetry
1
I-Symmetry
0

Step Pattern

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

Complement

4-22card 4
[0,2,4,7]
Major triad + major second

All Transpositions

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