Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

7-21

Cardinality
7

Prime Form

Prime form pitch class clockC0C#1D2D#E4F5F#GG#8A9A#B[0,1,2,4,5,8,9]7 pitch classes
T0

Interval Vector

<4,2,4,6,4,1> (sum: 21)
4
ic1
2
ic2
4
ic3
6
ic4
4
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,4,5,8,9]
Interval Vector
<4,2,4,6,4,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-1-2-1-3-1-3
Intervals: H-H-W-H-3-H-3

Complement

5-21card 5
[0,1,4,5,8]

All Transpositions

LevelPitch ClassesNote Names
T0[0,1,2,4,5,8,9]C C# D E F G# A
T1[1,2,3,5,6,9,10]C# D D# F F# A A#
T2[2,3,4,6,7,10,11]D D# E F# G A# B
T3[0,3,4,5,7,8,11]C D# E F G G# B
T4[0,1,4,5,6,8,9]C C# E F F# G# A
T5[1,2,5,6,7,9,10]C# D F F# G A A#
T6[2,3,6,7,8,10,11]D D# F# G G# A# B
T7[0,3,4,7,8,9,11]C D# E G G# A B
T8[0,1,4,5,8,9,10]C C# E F G# A A#
T9[1,2,5,6,9,10,11]C# D F F# A A# B
T10[0,2,3,6,7,10,11]C D D# F# G A# B
T11[0,1,3,4,7,8,11]C C# D# E G G# B
← 7-20Back to Catalog7-22 →