Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-13

Cardinality
5

Prime Form

Prime form pitch class clockC0C#1D2D#E4FF#GG#8AA#B[0,1,2,4,8]5 pitch classes
T0

Interval Vector

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

Step Pattern

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

Complement

7-13card 7
[0,1,2,4,5,6,8]

All Transpositions

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