Nearly Even

Interval

3-11

4-27

(0258)
min 7 ♭5
min 6

(0368)
Dom 7
Gr. 6

5-34

(02469)
Dom 9
min ♭13 ♭5

6-34

(013579)
Aug 9 ♯11
Alt 7 ♭9

(024689)
Dom 9 ♯11
Alt 7 ♯9

7-34

(013468t)
Acoustic

8-27

9-11

7-34, (013468t), Acoustic

Scale Contains

3-12

3-3

(014)
XmM7(no5)

(034)
XM7(♯5)no3

4-25

(0268)
X7(♭5)
Fr. 6

4-24

(0248)
X7(♯5)

4-19

(0148)
min Maj 7

(0348)
Aug Maj 7

4-Z15

(0146)
All-Interval
X7♯11 no 3

(0256)
All-Interval
X7♯9 no 5

4-12

(0236)
X7(♭9)no5

(0346)
XM9(♯5)no3

4-3

(0134)
Acoustic-4

5-30

(01468)
X9♯11(no3)

(02478)
Aug 7 ♯11

5-33

(02468)
X9(♭5)
X9(♯5)

5-28

(02368)
Dom 7 ♯11
X♯11(♭9)no5

(02568)
X13(♯11)no5

5-26

(02458)
min 9 ♭5

(03468)
XM9(♯5)

5-Z17

(01348)
XAlt(♯5♭9♯9)

5-10

(01346)
XAlt(♭9♯9)

(02356)
X7(♭9♯9)no5
min Maj 13 no 5

6-34

(013579)
Aug 9 ♯11
Alt 7 ♭9

(024689)
Dom 9 ♯11
Alt 7 ♯9

6-Z24

(013468)
XAlt(no♭7)

(024578)
X7(♯5♭9♯9)
Xm11♭5

6-Z23

(023568)
Dom 13 ♯11
X7(♭5♭9♯9)

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

6-34, (024689), Dom 9 ♯11, Alt 7 ♯9

Set Class

OPTC equiv: (024689)

Interval-content vector <142422>

Distance √(5/6)*

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

Nearly Even divides the octave nearly evenly

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

Tritonic set contains one or more tritones

Involution

6-34

(013579)
Aug 9 ♯11
Alt 7 ♭9

M-related

6-21

See Also

5-30

(01468)
X9♯11(no3)

5-28

(02368)
Dom 7 ♯11
X♯11(♭9)no5

5-26

(02458)
min 9 ♭5

5-24

(02467)
Dom 11 no 5
X9♯11(no♭7)

Voice leading distance: 1

5-34

(02469)
Dom 9
min ♭13 ♭5

5-33

(02468)
X9(♭5)
X9(♯5)

6-35

(02468t)
Whole-Tone Scale

6-30

(023689)
X♯11(♭9)

6-31

(024589)
Harm-Minor-6

6-33

(024679)
min 13

6-Z26

(013578)
Maj 9 ♯11

6-Z28

(013569)
Harm-M/m-6

6-Z48

6-Z49

(013479)
X♯11(♯9)
X13♯11(♭9)no5

7-30

7-33

(012468t)
Melodic Minor ♭2

7-28

7-26

7-24

Has Chords

Altered Dominant ♯9

Lydian Dominant Ninth

Minor Ninth ♭5 ♭13