Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

7-8

Cardinality
7

Prime Form

Prime form pitch class clockC0C#D2D#3E4F5F#6GG#8AA#B[0,2,3,4,5,6,8]7 pitch classes
T0

Interval Vector

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

Step Pattern

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

Complement

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

All Transpositions

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