Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

5-Z37

Cardinality
5

Prime Form

Prime form pitch class clockC0C#DD#3E4F5F#GG#8AA#B[0,3,4,5,8]5 pitch classes
T0

Interval Vector

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

Step Pattern

3-1-1-3-4
Intervals: 3-H-H-3-4

Complement

7-Z37card 7
[0,1,3,4,5,7,8]

Z-Related Set

5-Z17Same IC Vector
[0,1,3,4,8]

All Transpositions

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