Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z49

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1DD#3E4FF#G7G#A9A#B[0,1,3,4,7,9]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
[0,1,3,4,7,9]
Interval Vector
<2,2,4,3,2,2>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 4

Step Pattern

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

Complement

6-Z28card 6
[0,1,3,5,6,9]

Z-Related Set

6-Z28Same IC Vector
[0,1,3,5,6,9]

All Transpositions

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