Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

4-Z15

All-interval tetrachord

Cardinality
4

Prime Form

Prime form pitch class clockC0C#1DD#E4FF#6GG#AA#B[0,1,4,6]4 pitch classes
T0

Interval Vector

<1,1,1,1,1,1> (sum: 6)
1
ic1
1
ic2
1
ic3
1
ic4
1
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,4,6]
Interval Vector
<1,1,1,1,1,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-3-2-6
Intervals: H-3-W-6

Complement

8-Z15card 8
[0,1,2,3,4,6,8,9]

Z-Related Set

4-Z29Same IC Vector
[0,1,3,7]
All-interval tetrachord

All Transpositions

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