Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

0-1

Empty set / Null set

Cardinality
0

Prime Form

Prime form pitch class clockCC#DD#EFF#GG#AA#B[]0 pitch classes
T0

Interval Vector

<0,0,0,0,0,0> (sum: 0)
0
ic1
0
ic2
0
ic3
0
ic4
0
ic5
0
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[]
Interval Vector
<0,0,0,0,0,0>
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

Complement

12-1card 12
[0,1,2,3,4,5,6,7,8,9,10,11]
Chromatic scale

All Transpositions

LevelPitch ClassesNote Names
T0[]
T1(invariant)[]
T2(invariant)[]
T3(invariant)[]
T4(invariant)[]
T5(invariant)[]
T6(invariant)[]
T7(invariant)[]
T8(invariant)[]
T9(invariant)[]
T10(invariant)[]
T11(invariant)[]
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