Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z36

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1D2D#3E4FF#G7G#AA#B[0,1,2,3,4,7]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
[0,1,2,3,4,7]
Interval Vector
<4,3,3,2,2,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-1-1-1-3-5
Intervals: H-H-H-H-3-5

Complement

6-Z3card 6
[0,1,2,3,5,6]

Z-Related Set

6-Z3Same IC Vector
[0,1,2,3,5,6]

All Transpositions

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