Perfectly Even

Interval

3-12

4-28

6-35

(02468t)
Whole-Tone Scale

6-35, (02468t), Whole-Tone Scale

Scale Contains

3-12

4-25

(0268)
X7(♭5)
Fr. 6

4-24

(0248)
X7(♯5)

5-33

(02468)
X9(♭5)
X9(♯5)

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)

3 Notes

3-12

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

3-12, (048), Aug

Set Class

OPTC equiv: (048)

Interval-content vector <000300>

Distance 0*

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

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

Complement

9-12

(01245689t)
Enneatonic

See Also

4-24

(0248)
X7(♯5)

Voice leading distance: 1

3-11

4-19

(0148)
min Maj 7

(0348)
Aug Maj 7

Has Chords

Augmented Triad

Rootless Minor Major Seventh