Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

4-1

Chromatic tetrachord

Cardinality
4

Prime Form

Prime form pitch class clockC0C#1D2D#3EFF#GG#AA#B[0,1,2,3]4 pitch classes
T0

Interval Vector

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

Step Pattern

1-1-1-9
Intervals: H-H-H-9

Complement

8-1card 8
[0,1,2,3,4,5,6,7]
Chromatic octachord

All Transpositions

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