Scale Index

Interval Combination Counts

  • Size 2

    11 combinations
  • Size 3

    55 combinations
  • Size 4

    165 combinations
  • Size 5

    330 combinations
  • Size 6

    462 combinations
  • Size 7

    462 combinations
  • Size 8

    330 combinations
  • Size 9

    165 combinations
  • Size 10

    55 combinations
  • Size 11

    11 combinations
  • Size 12

    1 combinations

Grouped By Modes

  • Size 2

    6 combinations
  • Size 3

    19 combinations
  • Size 4

    43 combinations
  • Size 5

    66 combinations
  • Size 6

    80 combinations
  • Size 7

    66 combinations
  • Size 8

    43 combinations
  • Size 9

    19 combinations
  • Size 10

    6 combinations
  • Size 11

    1 combinations
  • Size 12

    1 combinations

Parent Scales 350

Filtered Parent Scales 135

Notes: 7

F
F
C
C
D
D
E
F
F
C
C
D
D
C
C
D
D
E
F
F
C
C
D
D
E
F
F
G
C
C
D
D
E
F
F
C
C
D
D
E
F
D
D
E
F
F
C
C
D
D
E
F
F
C
A
C
C
D
D
E
F
F
C
C
D
D
E
F
F
E
F
F
C
C
D
D
E
F
F
C
C
D
3
5
7
9
12
15
17
19
22
F
G
C
C
D
D
E
F
G
C
C
D
D
C
C
D
D
E
F
G
C
C
D
D
E
F
G
G
C
C
D
D
E
F
G
C
C
D
D
E
F
D
D
E
F
G
C
C
D
D
E
F
G
C
A
C
C
D
D
E
F
G
C
C
D
D
E
F
G
E
F
G
C
C
D
D
E
F
G
C
C
D
3
5
7
9
12
15
17
19
22
F
G
C
C
D
D
E
F
G
C
C
D
D
C
C
D
D
E
F
G
C
C
D
D
E
F
G
G
G
C
C
D
D
E
F
G
C
C
D
D
E
F
D
D
E
F
G
C
C
D
D
E
F
G
C
A
C
C
D
D
E
F
G
C
C
D
D
E
F
E
F
G
C
C
D
D
E
F
G
C
C
D
3
5
7
9
12
15
17
19
22
F
A
C
C
D
D
E
F
A
C
C
D
D
C
C
D
D
E
F
A
C
C
D
D
E
F
A
G
A
C
C
D
D
E
F
A
C
C
D
D
E
F
D
D
E
F
A
C
C
D
D
E
F
A
C
A
C
C
D
D
E
F
A
C
C
D
D
E
F
E
F
A
C
C
D
D
E
F
A
C
C
D
3
5
7
9
12
15
17
19
22
F
A
C
C
D
D
E
F
A
C
C
D
D
C
C
D
D
E
F
A
C
C
D
D
E
F
A
G
A
C
C
D
D
E
F
A
C
C
D
D
E
F
D
D
E
F
A
C
C
D
D
E
F
A
C
A
A
C
C
D
D
E
F
A
C
C
D
D
E
F
E
F
A
C
C
D
D
E
F
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
C
C
D
D
E
F
G
C
C
D
D
C
C
D
D
E
F
G
C
C
D
D
E
F
G
G
C
C
D
D
E
F
G
C
C
D
D
E
D
D
E
F
G
C
C
D
D
E
F
G
C
A
C
C
D
D
E
F
G
C
C
D
D
E
F
G
E
F
G
C
C
D
D
E
F
G
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
C
C
D
D
E
F
G
C
C
D
D
C
C
D
D
E
F
G
C
C
D
D
E
F
G
G
G
C
C
D
D
E
F
G
C
C
D
D
E
D
D
E
F
G
C
C
D
D
E
F
G
C
A
C
C
D
D
E
F
G
C
C
D
D
E
F
E
F
G
C
C
D
D
E
F
G
C
C
D
3
5
7
9
12
15
17
19
22
F
F
A
C
C
D
D
E
F
A
C
C
D
D
C
C
D
D
E
F
A
C
C
D
D
E
F
A
G
A
C
C
D
D
E
F
A
C
C
D
D
E
D
D
E
F
A
C
C
D
D
E
F
A
C
A
C
C
D
D
E
F
A
C
C
D
D
E
F
E
F
A
C
C
D
D
E
F
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
A
C
C
D
D
E
F
A
C
C
D
D
C
C
D
D
E
F
A
C
C
D
D
E
F
A
G
A
C
C
D
D
E
F
A
C
C
D
D
E
D
D
E
F
A
C
C
D
D
E
F
A
C
A
A
C
C
D
D
E
F
A
C
C
D
D
E
F
E
F
A
C
C
D
D
E
F
A
C
C
D
3
5
7
9
12
15
17
19
22
F
G
G
C
C
D
D
E
G
G
C
C
D
D
C
C
D
D
E
G
G
C
C
D
D
E
G
G
G
G
C
C
D
D
E
G
G
C
C
D
D
E
D
D
E
G
G
C
C
D
D
E
G
G
C
A
C
C
D
D
E
G
G
C
C
D
D
E
G
E
G
G
C
C
D
D
E
G
G
C
C
D
3
5
7
9
12
15
17
19
22
F
G
A
C
C
D
D
E
G
A
C
C
D
D
C
C
D
D
E
G
A
C
C
D
D
E
G
A
G
A
C
C
D
D
E
G
A
C
C
D
D
E
D
D
E
G
A
C
C
D
D
E
G
A
C
A
C
C
D
D
E
G
A
C
C
D
D
E
G
E
G
A
C
C
D
D
E
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
G
A
C
C
D
D
E
G
A
C
C
D
D
C
C
D
D
E
G
A
C
C
D
D
E
G
A
G
A
C
C
D
D
E
G
A
C
C
D
D
E
D
D
E
G
A
C
C
D
D
E
G
A
C
A
A
C
C
D
D
E
G
A
C
C
D
D
E
G
E
G
A
C
C
D
D
E
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
G
A
C
C
D
D
E
G
A
C
C
D
D
C
C
D
D
E
G
A
C
C
D
D
E
G
A
G
G
A
C
C
D
D
E
G
A
C
C
D
D
E
D
D
E
G
A
C
C
D
D
E
G
A
C
A
C
C
D
D
E
G
A
C
C
D
D
E
E
G
A
C
C
D
D
E
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
G
A
C
C
D
D
E
G
A
C
C
D
D
C
C
D
D
E
G
A
C
C
D
D
E
G
A
G
G
A
C
C
D
D
E
G
A
C
C
D
D
E
D
D
E
G
A
C
C
D
D
E
G
A
C
A
A
C
C
D
D
E
G
A
C
C
D
D
E
E
G
A
C
C
D
D
E
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
A
A
C
C
D
D
E
A
A
C
C
D
D
C
C
D
D
E
A
A
C
C
D
D
E
A
A
G
A
A
C
C
D
D
E
A
A
C
C
D
D
E
D
D
E
A
A
C
C
D
D
E
A
A
C
A
A
C
C
D
D
E
A
A
C
C
D
D
E
E
A
A
C
C
D
D
E
A
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
C
C
D
D
F
F
G
C
C
D
D
C
C
D
D
F
F
G
C
C
D
D
F
F
G
G
C
C
D
D
F
F
G
C
C
D
D
F
D
D
F
F
G
C
C
D
D
F
F
G
C
A
C
C
D
D
F
F
G
C
C
D
D
F
F
G
E
F
F
G
C
C
D
D
F
F
G
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
C
C
D
D
F
F
G
C
C
D
D
C
C
D
D
F
F
G
C
C
D
D
F
F
G
G
G
C
C
D
D
F
F
G
C
C
D
D
F
D
D
F
F
G
C
C
D
D
F
F
G
C
A
C
C
D
D
F
F
G
C
C
D
D
F
F
E
F
F
G
C
C
D
D
F
F
G
C
C
D
3
5
7
9
12
15
17
19
22
F
F
A
C
C
D
D
F
F
A
C
C
D
D
C
C
D
D
F
F
A
C
C
D
D
F
F
A
G
A
C
C
D
D
F
F
A
C
C
D
D
F
D
D
F
F
A
C
C
D
D
F
F
A
C
A
C
C
D
D
F
F
A
C
C
D
D
F
F
E
F
F
A
C
C
D
D
F
F
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
A
C
C
D
D
F
F
A
C
C
D
D
C
C
D
D
F
F
A
C
C
D
D
F
F
A
G
A
C
C
D
D
F
F
A
C
C
D
D
F
D
D
F
F
A
C
C
D
D
F
F
A
C
A
A
C
C
D
D
F
F
A
C
C
D
D
F
F
E
F
F
A
C
C
D
D
F
F
A
C
C
D
3
5
7
9
12
15
17
19
22
F
G
G
C
C
D
D
F
G
G
C
C
D
D
C
C
D
D
F
G
G
C
C
D
D
F
G
G
G
G
C
C
D
D
F
G
G
C
C
D
D
F
D
D
F
G
G
C
C
D
D
F
G
G
C
A
C
C
D
D
F
G
G
C
C
D
D
F
G
E
F
G
G
C
C
D
D
F
G
G
C
C
D
3
5
7
9
12
15
17
19
22
F
G
A
C
C
D
D
F
G
A
C
C
D
D
C
C
D
D
F
G
A
C
C
D
D
F
G
A
G
A
C
C
D
D
F
G
A
C
C
D
D
F
D
D
F
G
A
C
C
D
D
F
G
A
C
A
C
C
D
D
F
G
A
C
C
D
D
F
G
E
F
G
A
C
C
D
D
F
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
G
A
C
C
D
D
F
G
A
C
C
D
D
C
C
D
D
F
G
A
C
C
D
D
F
G
A
G
A
C
C
D
D
F
G
A
C
C
D
D
F
D
D
F
G
A
C
C
D
D
F
G
A
C
A
A
C
C
D
D
F
G
A
C
C
D
D
F
G
E
F
G
A
C
C
D
D
F
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
G
A
C
C
D
D
F
G
A
C
C
D
D
C
C
D
D
F
G
A
C
C
D
D
F
G
A
G
G
A
C
C
D
D
F
G
A
C
C
D
D
F
D
D
F
G
A
C
C
D
D
F
G
A
C
A
C
C
D
D
F
G
A
C
C
D
D
F
E
F
G
A
C
C
D
D
F
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
G
A
C
C
D
D
F
G
A
C
C
D
D
C
C
D
D
F
G
A
C
C
D
D
F
G
A
G
G
A
C
C
D
D
F
G
A
C
C
D
D
F
D
D
F
G
A
C
C
D
D
F
G
A
C
A
A
C
C
D
D
F
G
A
C
C
D
D
F
E
F
G
A
C
C
D
D
F
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
A
A
C
C
D
D
F
A
A
C
C
D
D
C
C
D
D
F
A
A
C
C
D
D
F
A
A
G
A
A
C
C
D
D
F
A
A
C
C
D
D
F
D
D
F
A
A
C
C
D
D
F
A
A
C
A
A
C
C
D
D
F
A
A
C
C
D
D
F
E
F
A
A
C
C
D
D
F
A
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
G
C
C
D
D
F
G
G
C
C
D
D
C
C
D
D
F
G
G
C
C
D
D
F
G
G
G
G
C
C
D
D
F
G
G
C
C
D
D
D
D
F
G
G
C
C
D
D
F
G
G
C
A
C
C
D
D
F
G
G
C
C
D
D
F
G
E
F
G
G
C
C
D
D
F
G
G
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
A
C
C
D
D
F
G
A
C
C
D
D
C
C
D
D
F
G
A
C
C
D
D
F
G
A
G
A
C
C
D
D
F
G
A
C
C
D
D
D
D
F
G
A
C
C
D
D
F
G
A
C
A
C
C
D
D
F
G
A
C
C
D
D
F
G
E
F
G
A
C
C
D
D
F
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
A
C
C
D
D
F
G
A
C
C
D
D
C
C
D
D
F
G
A
C
C
D
D
F
G
A
G
A
C
C
D
D
F
G
A
C
C
D
D
D
D
F
G
A
C
C
D
D
F
G
A
C
A
A
C
C
D
D
F
G
A
C
C
D
D
F
G
E
F
G
A
C
C
D
D
F
G
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
A
C
C
D
D
F
G
A
C
C
D
D
C
C
D
D
F
G
A
C
C
D
D
F
G
A
G
G
A
C
C
D
D
F
G
A
C
C
D
D
D
D
F
G
A
C
C
D
D
F
G
A
C
A
C
C
D
D
F
G
A
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F
G
A
A
C
C
D
F
D
F
G
A
A
C
C
D
F
G
A
A
C
A
A
C
C
D
F
G
A
A
C
C
D
F
G
E
F
G
A
A
C
C
D
F
G
A
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
A
A
C
C
D
F
G
A
A
C
C
D
C
C
D
F
G
A
A
C
C
D
F
G
A
A
G
A
A
C
C
D
F
G
A
A
C
C
D
D
F
G
A
A
C
C
D
F
G
A
A
C
A
A
C
C
D
F
G
A
A
C
C
D
F
G
E
F
G
A
A
C
C
D
F
G
A
A
C
C
D
3
5
7
9
12
15
17
19
22
F
F
G
A
C
C
D
E
F
G
A
C
C
D
C
C
D
E
F
G
A
C
C
D
E
F
G
A
G
A
C
C
D
E
F
G
A
C
C
D
E
D
D
E
F
G
A
C
C
D
E
F
G
A
C
A
C
C
D
E
F
G
A
C
C
D
E
F
G
E
F
G
A
C
C
D
E
F
G
A
C
C
3
5
7
9
12
15
17
19
22
F
F
G
A
C
C
D
E
F
G
A
C
C
D
C
C
D
E
F
G
A
C
C
D
E
F
G
A
G
A
C
C
D
E
F
G
A
C
C
D
E
D
D
E
F
G
A
C
C
D
E
F
G
A
C
A
A
C
C
D
E
F
G
A
C
C
D
E
F
G
E
F
G
A
C
C
D
E
F
G
A
C
C
3
5
7
9
12
15
17
19
22
F
F
G
A
C
C
D
E
F
G
A
C
C
D
C
C
D
E
F
G
A
C
C
D
E
F
G
A
G
G
A
C
C
D
E
F
G
A
C
C
D
E
D
D
E
F
G
A
C
C
D
E
F
G
A
C
A
C
C
D
E
F
G
A
C
C
D
E
F
E
F
G
A
C
C
D
E
F
G
A
C
C
3
5
7
9
12
15
17
19
22
F
F
G
A
C
C
D
E
F
G
A
C
C
D
C
C
D
E
F
G
A
C
C
D
E
F
G
A
G
G
A
C
C
D
E
F
G
A
C
C
D
E
D
D
E
F
G
A
C
C
D
E
F
G
A
C
A
A
C
C
D
E
F
G
A
C
C
D
E
F
E
F
G
A
C
C
D
E
F
G
A
C
C
3
5
7
9
12
15
17
19
22
F
G
G
A
C
C
D
E
G
G
A
C
C
D
C
C
D
E
G
G
A
C
C
D
E
G
G
A
G
G
A
C
C
D
E
G
G
A
C
C
D
E
D
D
E
G
G
A
C
C
D
E
G
G
A
C
A
A
C
C
D
E
G
G
A
C
C
D
E
G
E
G
G
A
C
C
D
E
G
G
A
C
C
3
5
7
9
12
15
17
19
22
F
F
G
A
C
C
D
F
F
G
A
C
C
D
C
C
D
F
F
G
A
C
C
D
F
F
G
A
G
G
A
C
C
D
F
F
G
A
C
C
D
F
D
D
F
F
G
A
C
C
D
F
F
G
A
C
A
A
C
C
D
F
F
G
A
C
C
D
F
F
E
F
F
G
A
C
C
D
F
F
G
A
C
C
3
5
7
9
12
15
17
19
22
4
Fourths Hub

Free guitar tools for P4 tuning