Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z48

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1D2D#EF5F#G7G#A9A#B[0,1,2,5,7,9]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
[0,1,2,5,7,9]
Interval Vector
<2,3,2,3,4,1>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 2

Step Pattern

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

Complement

6-Z26card 6
[0,1,3,5,7,8]

Z-Related Set

6-Z26Same IC Vector
[0,1,3,5,7,8]

All Transpositions

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