Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z37

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1D2D#3E4FF#GG#8AA#B[0,1,2,3,4,8]6 pitch classes
T0

Interval Vector

<4,3,2,3,2,1> (sum: 15)
4
ic1
3
ic2
2
ic3
3
ic4
2
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,4,8]
Interval Vector
<4,3,2,3,2,1>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 4

Step Pattern

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

Complement

6-Z4card 6
[0,1,2,4,5,6]

Z-Related Set

6-Z4Same IC Vector
[0,1,2,4,5,6]

All Transpositions

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