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

7-35, (013568t), Diatonic

Scale Contains

3-11

3-10

3-9

(027)
sus
Quartal-3

3-8

(026)
X7 no 5
Aug 6

(046)
X7 ♭5 no 3
Aug 6 no ♯4

3-5

(016)
Maj ♯11 no 3

(056)
X7(♯9)noR/no5

3-7

(025)
min 7 no 5

(035)
Maj 6 no R

3-4

(015)
Maj 7 no 5

(045)
Maj 7 no 3

3-6

(024)
Maj add 9 no 5
X9(no3/5)

3-2

(013)
Diatonic-3

(023)
Diatonic-3

4-27

(0258)
min 7 ♭5
min 6

(0368)
Dom 7
Gr. 6

4-26

(0358)
min 7
Maj 6

4-20

4-23

(0257)
X7 sus 4
Quartal-4

4-16

(0157)
X13 noR/no5

(0267)
X7sus4(add3/no5)

4-22

(0247)
Maj add 9
X9sus4(no5)

(0357)
Maj 6/9 no 5
Maj 9 ♯11 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

4-11

(0135)
Diatonic-4

(0245)
Diatonic-4

4-10

(0235)
Diatonic-4

5-34

(02469)
Dom 9
min ♭13 ♭5

5-29

(01368)
X7sus4(add3)
min 13 no 5

(02578)
min 6/9
Xm11♭5 no 9

5-20

(01568)
Maj 9 ♯11 no 3

(02378)
XM7♯11

5-27

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)

5-23

(02357)
Diatonic-5

(02457)
Diatonic-5

5-Z12

(01356)
Diatonic-5

6-33

(023579)
Dom 13

(024679)
min 13

6-32

(024579)
Quartal-6

6-Z26

(013578)
Maj 9 ♯11

6-Z25

(013568)
Diatonic-6

(023578)
Diatonic-6

Cluster-free, 3 Notes

3 Notes

3-12

3-11

3-10

3-9

(027)
sus
Quartal-3

3-8

(026)
X7 no 5
Aug 6

(046)
X7 ♭5 no 3
Aug 6 no ♯4

3-5

(016)
Maj ♯11 no 3

(056)
X7(♯9)noR/no5

3-7

(025)
min 7 no 5

(035)
Maj 6 no R

3-4

(015)
Maj 7 no 5

(045)
Maj 7 no 3

3-6

(024)
Maj add 9 no 5
X9(no3/5)

3-3

(014)
XmM7(no5)

(034)
XM7(♯5)no3

3-2

(013)
Diatonic-3

(023)
Diatonic-3

3-11, (047), Maj

Set Class

OPTC equiv: (047)

Interval-content vector <001110>

Distance √(2/3)*

the minimum Euclidean distance from this set to any transposition of the perfectly even 3 note chord, in semitones

Ancohemitonic chromatic-cluser-free

Anhemitonic set contains no semitones

Atritonic set contains no tritones

Nearly Even divides the octave nearly evenly

Involution

3-11

M-related

3-3

(014)
XmM7(no5)

(034)
XM7(♯5)no3

Complement

9-11

See Also

4-27

(0368)
Dom 7
Gr. 6

4-26

(0358)
min 7
Maj 6

4-22

(0247)
Maj add 9
X9sus4(no5)

Voice leading distance: 1

3-12

3-10

3-9

(027)
sus
Quartal-3

3-8

(046)
X7 ♭5 no 3
Aug 6 no ♯4

4-20

4-19

(0348)
Aug Maj 7

4-18

(0147)
X7(♯9)noR

4-17

(0347)
Dom ♯9

4-Z29

(0467)
All-Interval
XM♯11

4-14

(0457)
Maj 9 no 3

Has Chords

Rootless Augmented Major Seventh

Rootless Major Ninth no 3

Rootless Minor Seventh