Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

7-35

Major scale / Diatonic scale / Ionian

Cardinality
7

Prime Form

Prime form pitch class clockC0C#1DD#3EF5F#6GG#8AA#10B[0,1,3,5,6,8,10]7 pitch classes
T0

Interval Vector

<2,5,4,3,6,1> (sum: 21)
2
ic1
5
ic2
4
ic3
3
ic4
6
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,3,5,6,8,10]
Interval Vector
<2,5,4,3,6,1>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 6

Step Pattern

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

Complement

5-35card 5
[0,2,4,7,9]
Pentatonic scale

All Transpositions

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