Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-5

Cardinality
5

Prime Form

Prime form pitch class clockC0C#1D2D#3EFF#G7G#AA#B[0,1,2,3,7]5 pitch classes
T0

Interval Vector

<3,2,1,1,2,1> (sum: 10)
3
ic1
2
ic2
1
ic3
1
ic4
2
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,7]
Interval Vector
<3,2,1,1,2,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-1-1-4-5
Intervals: H-H-H-4-5

Complement

7-5card 7
[0,1,2,3,5,6,7]

All Transpositions

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