Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-8

Cardinality
5

Prime Form

Prime form pitch class clockC0C#D2D#3E4FF#6GG#AA#B[0,2,3,4,6]5 pitch classes
T0

Interval Vector

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

Step Pattern

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

Complement

7-8card 7
[0,2,3,4,5,6,8]

All Transpositions

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