Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

10-5

Cardinality
10

Prime Form

Prime form pitch class clockC0C#1D2D#3E4F5F#G7G#8A9A#10B[0,1,2,3,4,5,7,8,9,10]10 pitch classes
T0

Interval Vector

<8,8,8,8,9,4> (sum: 45)
8
ic1
8
ic2
8
ic3
8
ic4
9
ic5
4
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,4,5,7,8,9,10]
Interval Vector
<8,8,8,8,9,4>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 5

Step Pattern

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

Complement

2-5card 2
[0,5]
Perfect fourth

All Transpositions

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