Maximally Even

5-35

(02479)
Pentatonic

7-35

(013568t)
Diatonic

8-28

(0134679t)
Diminished (Oct.)

9-12

(01245689t)
Enneatonic

9 Notes

9-12

(01245689t)
Enneatonic

Chromatic, 9 Notes

9 Notes

9-12

(01245689t)
Enneatonic

9-11

9-10

9-9

(01235678t)
Quartal-9

9-8

9-5

9-7

9-4

9-6

9-3

9-2

9-1

(012345678)
Chromatic-9

9-12, (01245689t): Enneatonic

Set Class

OPTC equiv: (01245689t)

Interval-content vector <666963>

Distance √(6/9)*

the minimum Euclidean distance from this set to any transposition of the perfectly even 9 note chord, in semitones

Cohemitonic chromatic-cluster-containing

Hemitonic set contains one or more semitones

Maximally Even divides the octave maximally evenly (for cardinality of 5, 7, 8 or 9, no set can be perfectly even)

Mode of Limited Transposition this set has fewer than 12 unique transpositions

Self-M-Related the M-relation (replace semitone intervals with perfect fourths) maps this set to itself

Symmetric the involution of this set is the same set

Tritonic set contains one or more tritones

Complement

3-12

Voice leading distance: 1

8-24

8-19

9-11