Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

4-3

Cardinality
4

Prime Form

Prime form pitch class clockC0C#1DD#3E4FF#GG#AA#B[0,1,3,4]4 pitch classes
T0

Interval Vector

<2,1,2,1,0,0> (sum: 6)
2
ic1
1
ic2
2
ic3
1
ic4
0
ic5
0
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,3,4]
Interval Vector
<2,1,2,1,0,0>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 4

Step Pattern

1-2-1-8
Intervals: H-W-H-8

Complement

8-3card 8
[0,1,2,3,4,5,6,9]

All Transpositions

LevelPitch ClassesNote Names
T0[0,1,3,4]C C# D# E
T1[1,2,4,5]C# D E F
T2[2,3,5,6]D D# F F#
T3[3,4,6,7]D# E F# G
T4[4,5,7,8]E F G G#
T5[5,6,8,9]F F# G# A
T6[6,7,9,10]F# G A A#
T7[7,8,10,11]G G# A# B
T8[0,8,9,11]C G# A B
T9[0,1,9,10]C C# A A#
T10[1,2,10,11]C# D A# B
T11[0,2,3,11]C D D# B
← 4-2Back to Catalog4-4 →