Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z40

Cardinality
6

Prime Form

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

Interval Vector

<3,3,3,2,3,1> (sum: 15)
3
ic1
3
ic2
3
ic3
2
ic4
3
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,5,8]
Interval Vector
<3,3,3,2,3,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-1-1-2-3-4
Intervals: H-H-H-W-3-4

Complement

6-Z11card 6
[0,1,2,4,5,7]

Z-Related Set

6-Z11Same IC Vector
[0,1,2,4,5,7]

All Transpositions

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