6-20, (014589), Augmented (Hex.)

Scale Contains

4-7

(0145)
Hexatonic-4

5-21

(01458)
Hexatonic-5

(03478)
Hexatonic-5

Cluster-free, 4 Notes

4 Notes

4-28

4-27

(0258)
min 7 ♭5
min 6

(0368)
Dom 7
Gr. 6

4-25

(0268)
X7(♭5)
Fr. 6

4-26

(0358)
min 7
Maj 6

4-20

4-23

(0257)
X7 sus 4
Quartal-4

4-24

(0248)
X7(♯5)

4-16

(0157)
X13 noR/no5

(0267)
X7sus4(add3/no5)

4-19

(0148)
min Maj 7

(0348)
Aug Maj 7

4-22

(0247)
Maj add 9
X9sus4(no5)

(0357)
Maj 6/9 no 5
Maj 9 ♯11 no 5

4-18

(0147)
X7(♯9)noR

(0367)
XM11(♯5)no3/9

4-17

(0347)
Dom ♯9

4-9

(0167)
Maj 11 ♭5

4-Z15

(0146)
All-Interval
X7♯11 no 3

(0256)
All-Interval
X7♯9 no 5

4-Z29

(0137)
All-Interval
X13 no 5

(0467)
All-Interval
XM♯11

4-14

(0237)
XM7♯11(noR)

(0457)
Maj 9 no 3

4-21

(0246)
Dom 9 no 5

4-8

(0156)
XM7♯11(no3)

4-13

(0136)
min Maj 11

(0356)
X7(♭9)no3

4-12

(0236)
X7(♭9)no5

(0346)
XM9(♯5)no3

4-7

(0145)
Hexatonic-4

4-11

(0135)
Diatonic-4

(0245)
Diatonic-4

4-10

(0235)
Diatonic-4

4-3

(0134)
Acoustic-4

4-7, (0145): Hexatonic-4

Set Class

OPTC equiv: (0145)

Interval-content vector <201210>

Distance √(32/4)*

the minimum Euclidean distance from this set to any transposition of the perfectly even 4 note chord, in semitones

Ancohemitonic chromatic-cluser-free

Atritonic set contains no tritones

Hemitonic set contains one or more semitones

Symmetric the involution of this set is the same set

M-related

4-20

Complement

8-7

See Also

5-21

(01458)
Hexatonic-5

(03478)
Hexatonic-5

5-Z18

(01457)
Harm-M/m-5

(02367)
Harm-M/m-5

Voice leading distance: 1

3-4

(015)
Maj 7 no 5

(045)
Maj 7 no 3

3-3

(014)
XmM7(no5)

(034)
XM7(♯5)no3

4-Z15

(0146)
All-Interval
X7♯11 no 3

(0256)
All-Interval
X7♯9 no 5

4-11

(0135)
Diatonic-4

(0245)
Diatonic-4

5-6

5-3