Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z28

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1DD#3EF5F#6GG#A9A#B[0,1,3,5,6,9]6 pitch classes
T0

Interval Vector

<2,2,4,3,2,2> (sum: 15)
2
ic1
2
ic2
4
ic3
3
ic4
2
ic5
2
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,3,5,6,9]
Interval Vector
<2,2,4,3,2,2>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 6

Step Pattern

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

Complement

6-Z49card 6
[0,1,3,4,7,9]

Z-Related Set

6-Z49Same IC Vector
[0,1,3,4,7,9]

All Transpositions

LevelPitch ClassesNote Names
T0[0,1,3,5,6,9]C C# D# F F# A
T1[1,2,4,6,7,10]C# D E F# G A#
T2[2,3,5,7,8,11]D D# F G G# B
T3[0,3,4,6,8,9]C D# E F# G# A
T4[1,4,5,7,9,10]C# E F G A A#
T5[2,5,6,8,10,11]D F F# G# A# B
T6[0,3,6,7,9,11]C D# F# G A B
T7[0,1,4,7,8,10]C C# E G G# A#
T8[1,2,5,8,9,11]C# D F G# A B
T9[0,2,3,6,9,10]C D D# F# A A#
T10[1,3,4,7,10,11]C# D# E G A# B
T11[0,2,4,5,8,11]C D E F G# B
← 6-27Back to Catalog6-Z29 →