Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-35

Whole-tone scale

Cardinality
6

Prime Form

Prime form pitch class clockC0C#D2D#E4FF#6GG#8AA#10B[0,2,4,6,8,10]6 pitch classes
T0

Interval Vector

<0,6,0,6,0,3> (sum: 15)
0
ic1
6
ic2
0
ic3
6
ic4
0
ic5
3
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,2,4,6,8,10]
Interval Vector
<0,6,0,6,0,3>
T-Symmetry
6 (limited transposition)
Invariant at T: 0, 2, 4, 6, 8, 10
I-Symmetry
6 (inversionally symmetric)
Invariant at I: 0, 2, 4, 6, 8, 10

Step Pattern

2-2-2-2-2-2
Intervals: W-W-W-W-W-W

Complement

6-35card 6
[0,2,4,6,8,10]
Whole-tone scale

All Transpositions

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