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12-1

Chromatic scale / Aggregate / Total chromatic

Cardinality
12

Prime Form

Prime form pitch class clockC0C#1D2D#3E4F5F#6G7G#8A9A#10B11[0,1,2,3,4,5,6,7,8,9,10,11]12 pitch classes
T0

Interval Vector

<12,12,12,12,12,6> (sum: 66)
12
ic1
12
ic2
12
ic3
12
ic4
12
ic5
6
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,4,5,6,7,8,9,10,11]
Interval Vector
<12,12,12,12,12,6>
T-Symmetry
12 (limited transposition)
Invariant at T: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
I-Symmetry
12 (inversionally symmetric)
Invariant at I: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Step Pattern

1-1-1-1-1-1-1-1-1-1-1-1
Intervals: H-H-H-H-H-H-H-H-H-H-H-H

Complement

0-1card 0
[]
Empty set

All Transpositions

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