Lumatone mapping for 31edo
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