Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

6-7

Cardinality
6

Prime Form

Prime form pitch class clockC0C#1D2D#EFF#6G7G#8AA#B[0,1,2,6,7,8]6 pitch classes
T0

Interval Vector

<4,2,0,2,4,3> (sum: 15)
4
ic1
2
ic2
0
ic3
2
ic4
4
ic5
3
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,6,7,8]
Interval Vector
<4,2,0,2,4,3>
T-Symmetry
2 (limited transposition)
Invariant at T: 0, 6
I-Symmetry
2 (inversionally symmetric)
Invariant at I: 2, 8

Step Pattern

1-1-4-1-1-4
Intervals: H-H-4-H-H-4

Complement

6-7card 6
[0,1,2,6,7,8]

All Transpositions

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