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)

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

4-24, (0248), X7(♯5)

Set Class

OPTC equiv: (0248)

Interval-content vector <020301>

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

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

8-24

See Also

3-12

3-8

(026)
X7 no 5
Aug 6

(046)
X7 ♭5 no 3
Aug 6 no ♯4

3-6

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

5-33

(02468)
X9(♭5)
X9(♯5)

Voice leading distance: 1

4-27

(0258)
min 7 ♭5
min 6

(0368)
Dom 7
Gr. 6

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-Z29

(0137)
All-Interval
X13 no 5

(0467)
All-Interval
XM♯11

5-30

(01468)
X9♯11(no3)

(02478)
Aug 7 ♯11

5-26

(02458)
min 9 ♭5

(03468)
XM9(♯5)

5-13

Has Chords

Augmented Dominant Seventh