Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z26

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1DD#3EF5F#G7G#8AA#B[0,1,3,5,7,8]6 pitch classes
T0

Interval Vector

<2,3,2,3,4,1> (sum: 15)
2
ic1
3
ic2
2
ic3
3
ic4
4
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,3,5,7,8]
Interval Vector
<2,3,2,3,4,1>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 8

Step Pattern

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

Complement

6-Z48card 6
[0,1,2,5,7,9]

Z-Related Set

6-Z48Same IC Vector
[0,1,2,5,7,9]

All Transpositions

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