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

4 Notes

4-23

(0257)
X7 sus 4
Quartal-4

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

4-23, (0257), X7 sus 4, Quartal-4

Set Class

OPTC equiv: (0257)

Interval-content vector <021030>

Distance √(8/4)*

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

Ancohemitonic chromatic-cluser-free

Anhemitonic set contains no semitones

Atritonic set contains no tritones

Quartal set can be generated by repeatedly stacking perfect fourths (5 semitones)

Symmetric the involution of this set is the same set

M-related

4-1

(0123)
Chromatic-4

Complement

8-23

(0123578t)
Quartal-8

See Also

3-9

(027)
sus
Quartal-3

3-7

(025)
min 7 no 5

(035)
Maj 6 no R

5-35

(02479)
Pentatonic

Voice leading distance: 1

4-27

(0258)
min 7 ♭5
min 6

(0368)
Dom 7
Gr. 6

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-Z15

(0146)
All-Interval
X7♯11 no 3

(0256)
All-Interval
X7♯9 no 5

5-29

(01368)
X7sus4(add3)
min 13 no 5

(02578)
min 6/9
Xm11♭5 no 9

5-14

5-23

(02357)
Diatonic-5

(02457)
Diatonic-5

Has Chords

Rootless Major add 6/9

Suspended Seventh