Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-21

Cardinality
5

Prime Form

Prime form pitch class clockC0C#1DD#E4F5F#GG#8AA#B[0,1,4,5,8]5 pitch classes
T0

Interval Vector

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

Step Pattern

1-3-1-3-4
Intervals: H-3-H-3-4

Complement

7-21card 7
[0,1,2,4,5,8,9]

All Transpositions

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