Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-15

Cardinality
5

Prime Form

Prime form pitch class clockC0C#1D2D#EFF#6GG#8AA#B[0,1,2,6,8]5 pitch classes
T0

Interval Vector

<2,2,0,2,2,2> (sum: 10)
2
ic1
2
ic2
0
ic3
2
ic4
2
ic5
2
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,6,8]
Interval Vector
<2,2,0,2,2,2>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 2

Step Pattern

1-1-4-2-4
Intervals: H-H-4-W-4

Complement

7-15card 7
[0,1,2,4,6,7,8]

All Transpositions

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