Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-Z39

Cardinality
6

Prime Form

Prime form pitch class clockC0C#D2D#3E4F5F#GG#8AA#B[0,2,3,4,5,8]6 pitch classes
T0

Interval Vector

<3,3,3,3,2,1> (sum: 15)
3
ic1
3
ic2
3
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
[0,2,3,4,5,8]
Interval Vector
<3,3,3,3,2,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

2-1-1-1-3-4
Intervals: W-H-H-H-3-4

Complement

6-Z10card 6
[0,1,3,4,5,7]

Z-Related Set

6-Z10Same IC Vector
[0,1,3,4,5,7]

All Transpositions

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