Holdsworth Scale Generator

Based on Allan Holdsworth's Approach to Scales

Note: This has a number of bugs and is a work in progress

Total number of possible scales 495

N = Number of scales to generate

M = Maximum number of consecutive half steps

X = Number of notes per scale

Root N M X

R b2 2 3 4

F

C

C ♯

D

E

F

C

C ♯

D

C

C ♯

D

E

F

C

C ♯

D

E

F

G

C

C ♯

D

E

F

C

C ♯

D

E

F

D

E

F

C

C ♯

D

E

F

C

A

C

C ♯

D

E

F

C

C ♯

D

E

F

E

F

C

C ♯

D

E

F

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 3 #4

F

F ♯

C

C ♯

D

E

F ♯

C

C ♯

D

C

C ♯

D

E

F ♯

C

C ♯

D

E

F ♯

G

C

C ♯

D

E

F ♯

C

C ♯

D

E

D

E

F ♯

C

C ♯

D

E

F ♯

C

A

C

C ♯

D

E

F ♯

C

C ♯

D

E

F ♯

E

F ♯

C

C ♯

D

E

F ♯

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 3 5

F

G

C

C ♯

D

E

G

C

C ♯

D

C

C ♯

D

E

G

C

C ♯

D

E

G

G

C

C ♯

D

E

G

C

C ♯

D

E

D

E

G

C

C ♯

D

E

G

C

A

C

C ♯

D

E

G

C

C ♯

D

E

G

E

G

C

C ♯

D

E

G

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 3 b6

F

G ♯

C

C ♯

D

E

G ♯

C

C ♯

D

C

C ♯

D

E

G ♯

C

C ♯

D

E

G ♯

G

G ♯

C

C ♯

D

E

G ♯

C

C ♯

D

E

D

E

G ♯

C

C ♯

D

E

G ♯

C

A

C

C ♯

D

E

G ♯

C

C ♯

D

E

E

G ♯

C

C ♯

D

E

G ♯

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 3 6

F

A

C

C ♯

D

E

A

C

C ♯

D

C

C ♯

D

E

A

C

C ♯

D

E

A

G

A

C

C ♯

D

E

A

C

C ♯

D

E

D

E

A

C

C ♯

D

E

A

C

A

C

C ♯

D

E

A

C

C ♯

D

E

E

A

C

C ♯

D

E

A

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 3 b7

F

A ♯

C

C ♯

D

E

A ♯

C

C ♯

D

C

C ♯

D

E

A ♯

C

C ♯

D

E

A ♯

G

A ♯

C

C ♯

D

E

A ♯

C

C ♯

D

E

D

E

A ♯

C

C ♯

D

E

A ♯

C

A

A ♯

C

C ♯

D

E

A ♯

C

C ♯

D

E

E

A ♯

C

C ♯

D

E

A ♯

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 3 7

F

B

C

C ♯

D

E

B

C

C ♯

D

C

C ♯

D

E

B

C

C ♯

D

E

G

B

C

C ♯

D

E

B

C

C ♯

D

E

D

E

B

C

C ♯

D

E

B

C

A

B

C

C ♯

D

E

B

C

C ♯

D

E

E

B

C

C ♯

D

E

B

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 4 #4

F

F ♯

C

C ♯

D

F

F ♯

C

C ♯

D

C

C ♯

D

F

F ♯

C

C ♯

D

F

F ♯

G

C

C ♯

D

F

F ♯

C

C ♯

D

F

D

F

F ♯

C

C ♯

D

F

F ♯

C

A

C

C ♯

D

F

F ♯

C

C ♯

D

F

F ♯

E

F

F ♯

C

C ♯

D

F

F ♯

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 4 5

F

G

C

C ♯

D

F

G

C

C ♯

D

C

C ♯

D

F

G

C

C ♯

D

F

G

G

C

C ♯

D

F

G

C

C ♯

D

F

D

F

G

C

C ♯

D

F

G

C

A

C

C ♯

D

F

G

C

C ♯

D

F

G

E

F

G

C

C ♯

D

F

G

C

C ♯

D

3

5

7

9

12

15

17

19

22

R b2 2 4 b6

F

G ♯

C

C ♯

D

F

G ♯

C

C ♯

D

C

C ♯

D

F

G ♯

C

C ♯

D

F

G ♯

G

G ♯

C

C ♯

D

F

G ♯

C

C ♯

D

F

D

F

G ♯

C

C ♯

D

F

G ♯

C

A

C

C ♯

D

F

G ♯

C

C ♯

D

F

E

F

G ♯

C

C ♯

D

F

G ♯

C

C ♯

D

3

5

7

9

12

15

17

19

22