Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

7-9

Cardinality
7

Prime Form

Prime form pitch class clockC0C#1D2D#3E4FF#6GG#8AA#B[0,1,2,3,4,6,8]7 pitch classes
T0

Interval Vector

<4,5,3,4,3,2> (sum: 21)
4
ic1
5
ic2
3
ic3
4
ic4
3
ic5
2
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,4,6,8]
Interval Vector
<4,5,3,4,3,2>
T-Symmetry
1
I-Symmetry
0

Step Pattern

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

Complement

5-9card 5
[0,1,2,4,6]

All Transpositions

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