Theory
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OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

3-10

Diminished trichord

Cardinality
3

Prime Form

Prime form pitch class clockC0C#DD#3EFF#6GG#AA#B[0,3,6]3 pitch classes
T0

Interval Vector

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

Step Pattern

3-3-6
Intervals: 3-3-6

Complement

9-10card 9
[0,1,2,3,4,6,7,9,10]

All Transpositions

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