Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z3

Cardinality
6

Prime Form

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

Interval Vector

<4,3,3,2,2,1> (sum: 15)
4
ic1
3
ic2
3
ic3
2
ic4
2
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,5,6]
Interval Vector
<4,3,3,2,2,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-1-1-2-1-6
Intervals: H-H-H-W-H-6

Complement

6-Z36card 6
[0,1,2,3,4,7]

Z-Related Set

6-Z36Same IC Vector
[0,1,2,3,4,7]

All Transpositions

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