Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

8-Z29

Cardinality
8

Prime Form

Prime form pitch class clockC0C#1D2D#3EF5F#6G7G#A9A#B[0,1,2,3,5,6,7,9]8 pitch classes
T0

Interval Vector

<5,5,5,5,5,3> (sum: 28)
5
ic1
5
ic2
5
ic3
5
ic4
5
ic5
3
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,5,6,7,9]
Interval Vector
<5,5,5,5,5,3>
T-Symmetry
1
I-Symmetry
0

Step Pattern

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

Complement

4-Z29card 4
[0,1,3,7]
All-interval tetrachord

Z-Related Set

8-Z15Same IC Vector
[0,1,2,3,4,6,8,9]

All Transpositions

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