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

Scale Contains

4-7

(0145)
Hexatonic-4

5-21

(01458)
Hexatonic-5

(03478)
Hexatonic-5

Cluster-free, 5 Notes

5 Notes

5-35

(02479)
Pentatonic

5-34

(02469)
Dom 9
min ♭13 ♭5

5-32

(01469)
X13(♯9)no♭7

(02569)
X7(♯9)

5-30

(01468)
X9♯11(no3)

(02478)
Aug 7 ♯11

5-33

(02468)
X9(♭5)
X9(♯5)

5-22

(01478)
Harm-M/m-5

5-29

(01368)
X7sus4(add3)
min 13 no 5

(02578)
min 6/9
Xm11♭5 no 9

5-31

(01369)
XM11(♯5)no3

(02369)
X7(♭9)

5-28

(02368)
Dom 7 ♯11
X♯11(♭9)no5

(02568)
X13(♯11)no5

5-20

(01568)
Maj 9 ♯11 no 3

(02378)
XM7♯11

5-21

(01458)
Hexatonic-5

(03478)
Hexatonic-5

5-27

5-26

(02458)
min 9 ♭5

(03468)
XM9(♯5)

5-19

(01367)
X13(♯9)♭5noR

(01467)
X♯11(♭9)no3

5-25

(02358)
Maj 6 ♯11
min 13 no 11

(03568)
Dom 13 no 9

5-24

(01357)
XM9♯11 no 5
Dom 13 no 5

(02467)
Dom 11 no 5
X9♯11(no♭7)

5-Z18

(01457)
Harm-M/m-5

(02367)
Harm-M/m-5

5-23

(02357)
Diatonic-5

(02457)
Diatonic-5

5-Z17

(01348)
XAlt(♯5♭9♯9)

5-16

(01347)
Diminished-5

(03467)
Diminished-5

5-Z12

(01356)
Diatonic-5

5-10

(01346)
XAlt(♭9♯9)

(02356)
X7(♭9♯9)no5
min Maj 13 no 5

5-21, (03478): Hexatonic-5

Set Class

OPTC equiv: (03478)

Interval-content vector <202420>

Distance √(14/5)*

the minimum Euclidean distance from this set to any transposition of the perfectly even 5 note chord, in semitones

Ancohemitonic chromatic-cluser-free

Atritonic set contains no tritones

Hemitonic set contains one or more semitones

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

Involution

5-21

(01458)
Hexatonic-5

Complement

7-21

See Also

4-7

(0145)
Hexatonic-4

6-31

(014579)
Harm-Major-6

Voice leading distance: 1

4-20

4-19

(0348)
Aug Maj 7

4-17

(0347)
Dom ♯9

5-32

(01469)
X13(♯9)no♭7

5-30

(02478)
Aug 7 ♯11

5-27

5-26

(03468)
XM9(♯5)

5-Z18

(02367)
Harm-M/m-5

6-Z19

(013478)
Harm-Major-6

6-Z44

6-16

6-15

6-14