Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-Z12

Cardinality
5

Prime Form

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

Interval Vector

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

Step Pattern

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

Complement

7-Z12card 7
[0,1,2,3,4,7,9]

Z-Related Set

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

All Transpositions

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