Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-31

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1DD#E4F5F#G7G#A9A#B[0,1,4,5,7,9]6 pitch classes
T0

Interval Vector

<2,2,3,4,3,1> (sum: 15)
2
ic1
2
ic2
3
ic3
4
ic4
3
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,4,5,7,9]
Interval Vector
<2,2,3,4,3,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

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

Complement

6-31card 6
[0,1,4,5,7,9]

All Transpositions

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