Theory
ResearchFrontier structures and internal systems

6-1

Chromatic hexachord

Cardinality
6

Prime Form

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

Interval Vector

<5,4,3,2,1,0> (sum: 15)
5
ic1
4
ic2
3
ic3
2
ic4
1
ic5
0
ic6
ic1: m2/M7
ic2: M2/m7
ic3: m3/M6
ic4: M3/m6
ic5: P4/P5
ic6: TT
Prime Form
[0,1,2,3,4,5]
Interval Vector
<5,4,3,2,1,0>
T-Symmetry
1
I-Symmetry
1 (inversionally symmetric)
Invariant at I: 5

Step Pattern

1-1-1-1-1-7
Intervals: H-H-H-H-H-7

All Transpositions

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