Theory
ResearchFrontier structures and internal systems

4-Z29

All-interval tetrachord

Cardinality
4

Prime Form

Prime form pitch class clockC0C#1DD#3EFF#G7G#AA#B[0,1,3,7]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
[0,1,3,7]
Interval Vector
<1,1,1,1,1,1>
T-Symmetry
1
I-Symmetry
0

Step Pattern

1-2-4-5
Intervals: H-W-4-5

All Transpositions

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