Theory
ResearchFrontier structures and internal systems
OverviewSymmetryAsymmetrySet TheoryFormula LabUnified Model

7-1

Chromatic heptachord

Cardinality
7

Prime Form

Prime form pitch class clockC0C#1D2D#3E4F5F#6GG#AA#B[0,1,2,3,4,5,6]7 pitch classes
T0

Interval Vector

<6,5,4,3,2,1> (sum: 21)
6
ic1
5
ic2
4
ic3
3
ic4
2
ic5
1
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,4,5,6]
Interval Vector
<6,5,4,3,2,1>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 6

Step Pattern

1-1-1-1-1-1-6
Intervals: H-H-H-H-H-H-6

Complement

5-1card 5
[0,1,2,3,4]
Chromatic pentachord

All Transpositions

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