Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z12

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1D2D#E4FF#6G7G#AA#B[0,1,2,4,6,7]6 pitch classes
T0

Interval Vector

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

Step Pattern

1-1-2-2-1-5
Intervals: H-H-W-W-H-5

Complement

6-Z41card 6
[0,1,2,3,6,8]

Z-Related Set

6-Z41Same IC Vector
[0,1,2,3,6,8]

All Transpositions

LevelPitch ClassesNote Names
T0[0,1,2,4,6,7]C C# D E F# G
T1[1,2,3,5,7,8]C# D D# F G G#
T2[2,3,4,6,8,9]D D# E F# G# A
T3[3,4,5,7,9,10]D# E F G A A#
T4[4,5,6,8,10,11]E F F# G# A# B
T5[0,5,6,7,9,11]C F F# G A B
T6[0,1,6,7,8,10]C C# F# G G# A#
T7[1,2,7,8,9,11]C# D G G# A B
T8[0,2,3,8,9,10]C D D# G# A A#
T9[1,3,4,9,10,11]C# D# E A A# B
T10[0,2,4,5,10,11]C D E F A# B
T11[0,1,3,5,6,11]C C# D# F F# B
← 6-Z11Back to Catalog6-Z13 →