8-28, (0134679t), Diminished (Oct.)

Scale Contains

4-18

(0147)
X7(♯9)noR

(0367)
XM11(♯5)no3/9

4-17

(0347)
Dom ♯9

4-9

(0167)
Maj 11 ♭5

5-32

(01469)
X13(♯9)no♭7

(02569)
X7(♯9)

5-31

(01369)
XM11(♯5)no3

(02369)
X7(♭9)

5-19

(01367)
X13(♯9)♭5noR

(01467)
X♯11(♭9)no3

5-16

(01347)
Diminished-5

(03467)
Diminished-5

6-30

(013679)
X13(♯9)♭5

(023689)
X♯11(♭9)

6-Z50

(014679)
X13(♯9)
X13♯11(♭9)no♭7

6-Z49

(013479)
X♯11(♯9)
X13♯11(♭9)no5

6-27

(013469)
XAlt13♯11no3/5

(023569)
X7(♭9♯9)
X13(♭9)

6-Z13

(013467)
Diminished-6

7-31

(0134679)
Diminished-7

(0235689)
Diminished-7

6 Notes

6-35

(02468t)
Whole-Tone Scale

6-30

(013679)
X13(♯9)♭5

(023689)
X♯11(♭9)

6-20

(014589)
Augmented (Hex.)

6-7

Cluster-free, 6 Notes

6 Notes

6-35

(02468t)
Whole-Tone Scale

6-34

(013579)
Aug 9 ♯11
Alt 7 ♭9

(024689)
Dom 9 ♯11
Alt 7 ♯9

6-30

(013679)
X13(♯9)♭5

(023689)
X♯11(♭9)

6-31

(014579)
Harm-Major-6

(024589)
Harm-Minor-6

6-33

(023579)
Dom 13

(024679)
min 13

6-20

(014589)
Augmented (Hex.)

6-32

(024579)
Quartal-6

6-Z29

(023679)
Harm-M/m-6

6-Z50

(014679)
X13(♯9)
X13♯11(♭9)no♭7

6-Z26

(013578)
Maj 9 ♯11

6-Z28

(013569)
Harm-M/m-6

6-Z49

(013479)
X♯11(♯9)
X13♯11(♭9)no5

6-27

(013469)
XAlt13♯11no3/5

(023569)
X7(♭9♯9)
X13(♭9)

6-Z19

(013478)
Harm-Major-6

(014578)
Harm-Minor-6

6-Z25

(013568)
Diatonic-6

(023578)
Diatonic-6

6-Z24

(013468)
XAlt(no♭7)

(024578)
X7(♯5♭9♯9)
Xm11♭5

6-Z23

(023568)
Dom 13 ♯11
X7(♭5♭9♯9)

6-Z13

(013467)
Diminished-6

6-30, (013679), X13(♯9)♭5

Set Class

OPTC equiv: (013679)

Interval-content vector <224223>

Distance √(8/6)*

the minimum Euclidean distance from this set to any transposition of the perfectly even 6 note chord, in semitones

Ancohemitonic chromatic-cluser-free

Hemitonic set contains one or more semitones

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

Self-Complement the complement of this set is the same set

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

Tritonic set contains one or more tritones

Involution

6-30

(023689)
X♯11(♭9)

See Also

5-19

(01367)
X13(♯9)♭5noR

Voice leading distance: 1

5-31

(01369)
XM11(♯5)no3

5-28

(02568)
X13(♯11)no5

6-34

(013579)
Aug 9 ♯11
Alt 7 ♭9

6-Z29

(023679)
Harm-M/m-6

6-Z50

(014679)
X13(♯9)
X13♯11(♭9)no♭7

6-18

7-31

(0134679)
Diminished-7

7-28

7-19

Has Chords

Dominant Thirteenth ♯9 ♭5