Lumatone mapping for magic
Note the following equivalences in magic, meaning that a key labeled with one of the ratios actually represents others:
- 16/15 ~ 15/14 ~ 14/13
- 13/12 ~ 12/11
- 11/10 ~ 10/9
- 8/7 ~ 15/13
- 11/8 ~ 18/13
- 13/9 ~ 16/11
- 26/15 ~ 7/4
- 9/5 ~ 20/11
- 11/6 ~ 24/13
- 13/7 ~ 28/15 ~ 15/8
And the letter c refers to the chroma, representing 25/24 ~ 28/27 ~ 33/32 ~ 36/35 ~ 128/125.
Compressed
This mapping covers 10 complete octaves.
13/9
9/5
13/7
7/6
13/9
9/5
9/8
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
12/11
15/11
11/6
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
7/5
7/4
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
13/9
9/5
9/8
8/7
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
13/7
7/6
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
-c
6/5
3/2
10/7
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
5/4
14/9
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
9/7
8/5
1/1
16/9
10/9
11/8
12/7
14/13
4/3
5/3
c
10/9
11/8
12/7
14/13
4/3
10/9
11/8