Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

8-10

Cardinality
8

Prime Form

Prime form pitch class clockC0C#D2D#3E4F5F#6G7G#A9A#B[0,2,3,4,5,6,7,9]8 pitch classes
T0

Interval Vector

<5,6,6,4,5,2> (sum: 28)
5
ic1
6
ic2
6
ic3
4
ic4
5
ic5
2
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,2,3,4,5,6,7,9]
Interval Vector
<5,6,6,4,5,2>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 9

Step Pattern

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

Complement

4-10card 4
[0,2,3,5]

All Transpositions

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