Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

9-8

Cardinality
9

Prime Form

Prime form pitch class clockC0C#1D2D#3E4FF#6G7G#8AA#10B[0,1,2,3,4,6,7,8,10]9 pitch classes
T0

Interval Vector

<6,7,6,7,6,4> (sum: 36)
6
ic1
7
ic2
6
ic3
7
ic4
6
ic5
4
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,4,6,7,8,10]
Interval Vector
<6,7,6,7,6,4>
T-Symmetry
1
I-Symmetry
0

Step Pattern

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

Complement

3-8card 3
[0,2,6]
Italian sixth trichord

All Transpositions

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