Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

7-15

Cardinality
7

Prime Form

Prime form pitch class clockC0C#1D2D#E4FF#6G7G#8AA#B[0,1,2,4,6,7,8]7 pitch classes
T0

Interval Vector

<4,4,2,4,4,3> (sum: 21)
4
ic1
4
ic2
2
ic3
4
ic4
4
ic5
3
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,4,6,7,8]
Interval Vector
<4,4,2,4,4,3>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 8

Step Pattern

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

Complement

5-15card 5
[0,1,2,6,8]

All Transpositions

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