Perfectly Even

Interval

3-12

4-28

6-35

(02468t)
Whole-Tone Scale

7-32, (0134689), Harmonic Minor

Scale Contains

4-28

5-22

(01478)
Harm-M/m-5

5-Z18

(01457)
Harm-M/m-5

(02367)
Harm-M/m-5

6-31

(024589)
Harm-Minor-6

6-Z29

(023679)
Harm-M/m-6

6-Z28

(013569)
Harm-M/m-6

6-Z19

(014578)
Harm-Minor-6

7-32, (0135689), Harmonic Major

Scale Contains

4-28

5-22

(01478)
Harm-M/m-5

5-Z18

(01457)
Harm-M/m-5

(02367)
Harm-M/m-5

6-31

(014579)
Harm-Major-6

6-Z29

(023679)
Harm-M/m-6

6-Z28

(013569)
Harm-M/m-6

6-Z19

(013478)
Harm-Major-6

4 Notes

4-28

4-25

(0268)
X7(♭5)
Fr. 6

4-9

(0167)
Maj 11 ♭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

4-28, (0369), dim 7

Set Class

OPTC equiv: (0369)

Interval-content vector <004002>

Distance 0*

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

Mode of Limited Transposition this set has fewer than 12 unique transpositions

Perfectly Even divides the octave perfectly evenly

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

Symmetric the involution of this set is the same set

Tritonic set contains one or more tritones

Complement

8-28

(0134679t)
Diminished (Oct.)

See Also

3-10

Voice leading distance: 1

4-27

(0258)
min 7 ♭5
min 6

(0368)
Dom 7
Gr. 6

5-31

(01369)
XM11(♯5)no3

(02369)
X7(♭9)

Has Chords

Diminished Seventh