Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-9

Cardinality
5

Prime Form

Prime form pitch class clockC0C#1D2D#E4FF#6GG#AA#B[0,1,2,4,6]5 pitch classes
T0

Interval Vector

<2,3,1,2,1,1> (sum: 10)
2
ic1
3
ic2
1
ic3
2
ic4
1
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,4,6]
Interval Vector
<2,3,1,2,1,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-1-2-2-6
Intervals: H-H-W-W-6

Complement

7-9card 7
[0,1,2,3,4,6,8]

All Transpositions

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