There are many conceivable ways to map 31edo onto the Lumatone keyboard.
Standard Bosanquet-Wilson
This agrees with the Standard Lumatone mapping for Pythagorean. This is also "Preset 8 — 31-ET Bosanquet" in the official Lumatone manual.
29
3
1
6
11
16
21
30
4
9
14
19
24
29
3
2
7
12
17
22
27
1
6
11
16
21
0
5
10
15
20
25
30
4
9
14
19
24
29
3
3
8
13
18
23
28
2
7
12
17
22
27
1
6
11
16
21
1
6
11
16
21
26
0
5
10
15
20
25
30
4
9
14
19
24
29
3
4
9
14
19
24
29
3
8
13
18
23
28
2
7
12
17
22
27
1
6
11
16
21
2
7
12
17
22
27
1
6
11
16
21
26
0
5
10
15
20
25
30
4
9
14
19
24
29
3
10
15
20
25
30
4
9
14
19
24
29
3
8
13
18
23
28
2
7
12
17
22
27
1
6
11
16
21
23
28
2
7
12
17
22
27
1
6
11
16
21
26
0
5
10
15
20
25
30
4
9
14
19
24
10
15
20
25
30
4
9
14
19
24
29
3
8
13
18
23
28
2
7
12
17
22
27
23
28
2
7
12
17
22
27
1
6
11
16
21
26
0
5
10
15
20
25
10
15
20
25
30
4
9
14
19
24
29
3
8
13
18
23
28
23
28
2
7
12
17
22
27
1
6
11
16
21
26
10
15
20
25
30
4
9
14
19
24
29
23
28
2
7
12
17
22
27
10
15
20
25
30
23
28
Double-Bosanquet
As in Lumatone mapping for neutral thirds scales, this cuts the chromatic semitones in the "vertical" direction in half, so neutral intervals appear in between minor and major intervals. Octaves are no longer at a perfect horizontal separation but instead all over the place.
25
30
29
3
8
13
18
28
2
7
12
17
22
27
1
1
6
11
16
21
26
0
5
10
15
20
0
5
10
15
20
25
30
4
9
14
19
24
29
3
4
9
14
19
24
29
3
8
13
18
23
28
2
7
12
17
22
3
8
13
18
23
28
2
7
12
17
22
27
1
6
11
16
21
26
0
5
7
12
17
22
27
1
6
11
16
21
26
0
5
10
15
20
25
30
4
9
14
19
24
6
11
16
21
26
0
5
10
15
20
25
30
4
9
14
19
24
29
3
8
13
18
23
28
2
7
15
20
25
30
4
9
14
19
24
29
3
8
13
18
23
28
2
7
12
17
22
27
1
6
11
16
21
26
29
3
8
13
18
23
28
2
7
12
17
22
27
1
6
11
16
21
26
0
5
10
15
20
25
30
17
22
27
1
6
11
16
21
26
0
5
10
15
20
25
30
4
9
14
19
24
29
3
0
5
10
15
20
25
30
4
9
14
19
24
29
3
8
13
18
23
28
2
19
24
29
3
8
13
18
23
28
2
7
12
17
22
27
1
6
2
7
12
17
22
27
1
6
11
16
21
26
0
5
21
26
0
5
10
15
20
25
30
4
9
4
9
14
19
24
29
3
8
23
28
2
7
12
6
11
Anti-Double-Bosanquet
This is a flipped version of Double-Bosanquet which results in octaves being closer to horizontal. The step shape normally mapped to major seconds is here mapped to neutral seconds.
26
30
0
4
8
12
16
1
5
9
13
17
21
25
29
6
10
14
18
22
26
30
3
7
11
15
7
11
15
19
23
27
0
4
8
12
16
20
24
28
12
16
20
24
28
1
5
9
13
17
21
25
29
2
6
10
14
13
17
21
25
29
2
6
10
14
18
22
26
30
3
7
11
15
19
23
27
18
22
26
30
3
7
11
15
19
23
27
0
4
8
12
16
20
24
28
1
5
9
13
19
23
27
0
4
8
12
16
20
24
28
1
5
9
13
17
21
25
29
2
6
10
14
18
22
26
28
1
5
9
13
17
21
25
29
2
6
10
14
18
22
26
30
3
7
11
15
19
23
27
0
4
8
12
10
14
18
22
26
30
3
7
11
15
19
23
27
0
4
8
12
16
20
24
28
1
5
9
13
17
27
0
4
8
12
16
20
24
28
1
5
9
13
17
21
25
29
2
6
10
14
18
22
9
13
17
21
25
29
2
6
10
14
18
22
26
30
3
7
11
15
19
23
26
30
3
7
11
15
19
23
27
0
4
8
12
16
20
24
28
8
12
16
20
24
28
1
5
9
13
17
21
25
29
25
29
2
6
10
14
18
22
26
30
3
7
11
15
19
23
27
0
4
24
28
1
5
9
6
10
Myna
If you want maximum range while still having access to all notes, the 3L 1s Myna mapping is the most efficient one, while still giving 5-limit chords easy to play shapes.
13
21
20
28
5
13
21
19
27
4
12
20
28
5
13
26
3
11
19
27
4
12
20
28
5
13
25
2
10
18
26
3
11
19
27
4
12
20
28
5
1
9
17
25
2
10
18
26
3
11
19
27
4
12
20
28
5
0
8
16
24
1
9
17
25
2
10
18
26
3
11
19
27
4
12
20
28
7
15
23
0
8
16
24
1
9
17
25
2
10
18
26
3
11
19
27
4
12
20
28
6
14
22
30
7
15
23
0
8
16
24
1
9
17
25
2
10
18
26
3
11
19
27
4
12
20
21
29
6
14
22
30
7
15
23
0
8
16
24
1
9
17
25
2
10
18
26
3
11
19
27
4
12
20
13
21
29
6
14
22
30
7
15
23
0
8
16
24
1
9
17
25
2
10
18
26
3
11
19
27
13
21
29
6
14
22
30
7
15
23
0
8
16
24
1
9
17
25
2
10
18
26
3
5
13
21
29
6
14
22
30
7
15
23
0
8
16
24
1
9
17
25
2
5
13
21
29
6
14
22
30
7
15
23
0
8
16
24
1
9
28
5
13
21
29
6
14
22
30
7
15
23
0
8
28
5
13
21
29
6
14
22
30
7
15
20
28
5
13
21
29
6
14
20
28
5
13
21
12
20
