Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-Z18

Cardinality
5

Prime Form

Prime form pitch class clockC0C#1DD#E4F5F#G7G#AA#B[0,1,4,5,7]5 pitch classes
T0

Interval Vector

<2,1,2,2,2,1> (sum: 10)
2
ic1
1
ic2
2
ic3
2
ic4
2
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,4,5,7]
Interval Vector
<2,1,2,2,2,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-3-1-2-5
Intervals: H-3-H-W-5

Complement

7-Z18card 7
[0,1,4,5,6,7,9]

Z-Related Set

5-Z38Same IC Vector
[0,1,2,5,8]

All Transpositions

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