Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z41

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1D2D#3EFF#6GG#8AA#B[0,1,2,3,6,8]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
[0,1,2,3,6,8]
Interval Vector
<3,3,2,2,3,2>
T-Symmetry
1
I-Symmetry
0

Step Pattern

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

Complement

6-Z12card 6
[0,1,2,4,6,7]

Z-Related Set

6-Z12Same IC Vector
[0,1,2,4,6,7]

All Transpositions

LevelPitch ClassesNote Names
T0[0,1,2,3,6,8]C C# D D# F# G#
T1[1,2,3,4,7,9]C# D D# E G A
T2[2,3,4,5,8,10]D D# E F G# A#
T3[3,4,5,6,9,11]D# E F F# A B
T4[0,4,5,6,7,10]C E F F# G A#
T5[1,5,6,7,8,11]C# F F# G G# B
T6[0,2,6,7,8,9]C D F# G G# A
T7[1,3,7,8,9,10]C# D# G G# A A#
T8[2,4,8,9,10,11]D E G# A A# B
T9[0,3,5,9,10,11]C D# F A A# B
T10[0,1,4,6,10,11]C C# E F# A# B
T11[0,1,2,5,7,11]C C# D F G B
← 6-Z40Back to Catalog6-Z42 →