Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-30

Petrushka chord

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1DD#3EFF#6G7G#A9A#B[0,1,3,6,7,9]6 pitch classes
T0

Interval Vector

<2,2,4,2,2,3> (sum: 15)
2
ic1
2
ic2
4
ic3
2
ic4
2
ic5
3
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,3,6,7,9]
Interval Vector
<2,2,4,2,2,3>
T-Symmetry
2 (limited transposition)
Invariant at T: 0, 6
I-Symmetry
0

Step Pattern

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

Complement

6-30card 6
[0,1,3,6,7,9]
Petrushka chord

All Transpositions

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