Lumatone mapping for 53edo

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Revision as of 18:38, 25 March 2025 by ArrowHead294 (talk | contribs)
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There are many conceivable ways to map 53edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

This is "Preset 9 — 53-ET Bosanquet" in the official Lumatone manual.

2
11
6
15
24
33
42
1
10
19
28
37
46
2
11
5
14
23
32
41
50
6
15
24
33
42
0
9
18
27
36
45
1
10
19
28
37
46
2
11
4
13
22
31
40
49
5
14
23
32
41
50
6
15
24
33
42
52
8
17
26
35
44
0
9
18
27
36
45
1
10
19
28
37
46
2
11
3
12
21
30
39
48
4
13
22
31
40
49
5
14
23
32
41
50
6
15
24
33
42
51
7
16
25
34
43
52
8
17
26
35
44
0
9
18
27
36
45
1
10
19
28
37
46
2
11
11
20
29
38
47
3
12
21
30
39
48
4
13
22
31
40
49
5
14
23
32
41
50
6
15
24
33
42
33
42
51
7
16
25
34
43
52
8
17
26
35
44
0
9
18
27
36
45
1
10
19
28
37
46
11
20
29
38
47
3
12
21
30
39
48
4
13
22
31
40
49
5
14
23
32
41
50
33
42
51
7
16
25
34
43
52
8
17
26
35
44
0
9
18
27
36
45
11
20
29
38
47
3
12
21
30
39
48
4
13
22
31
40
49
33
42
51
7
16
25
34
43
52
8
17
26
35
44
11
20
29
38
47
3
12
21
30
39
48
33
42
51
7
16
25
34
43
11
20
29
38
47
33
42

Hanson

Since 53edo is a schismatic tuning, the best approximation to 5/4 is the diminished fourth. The Hanson mapping makes playing familiar 5-limit chords easier, but the 4L 3s mapping does not quite span the full gamut.

5
16
8
19
30
41
52
0
11
22
33
44
2
13
24
3
14
25
36
47
5
16
27
38
49
7
48
6
17
28
39
50
8
19
30
41
52
10
21
32
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
43
1
12
23
34
45
3
14
25
36
47
5
16
27
38
49
7
18
29
40
46
4
15
26
37
48
6
17
28
39
50
8
19
30
41
52
10
21
32
43
1
12
23
38
49
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
52
10
21
32
43
1
12
23
34
45
3
14
25
36
47
5
16
27
38
49
7
18
29
40
51
9
20
31
24
35
46
4
15
26
37
48
6
17
28
39
50
8
19
30
41
52
10
21
32
43
1
12
23
34
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
32
43
1
12
23
34
45
3
14
25
36
47
5
16
27
38
49
7
18
29
15
26
37
48
6
17
28
39
50
8
19
30
41
52
10
21
32
40
51
9
20
31
42
0
11
22
33
44
2
13
24
23
34
45
3
14
25
36
47
5
16
27
48
6
17
28
39
50
8
19
31
42
0
11
22
3
14


The expanded 4L 7s mapping covers the entire gamut, but puts octaves all over the place.

6
14
9
17
25
33
41
4
12
20
28
36
44
52
7
7
15
23
31
39
47
2
10
18
26
34
2
10
18
26
34
42
50
5
13
21
29
37
45
0
5
13
21
29
37
45
0
8
16
24
32
40
48
3
11
19
27
0
8
16
24
32
40
48
3
11
19
27
35
43
51
6
14
22
30
38
46
3
11
19
27
35
43
51
6
14
22
30
38
46
1
9
17
25
33
41
49
4
12
20
51
6
14
22
30
38
46
1
9
17
25
33
41
49
4
12
20
28
36
44
52
7
15
23
31
39
9
17
25
33
41
49
4
12
20
28
36
44
52
7
15
23
31
39
47
2
10
18
26
34
42
50
5
13
28
36
44
52
7
15
23
31
39
47
2
10
18
26
34
42
50
5
13
21
29
37
45
0
8
16
2
10
18
26
34
42
50
5
13
21
29
37
45
0
8
16
24
32
40
48
3
11
19
21
29
37
45
0
8
16
24
32
40
48
3
11
19
27
35
43
51
6
14
48
3
11
19
27
35
43
51
6
14
22
30
38
46
1
9
17
14
22
30
38
46
1
9
17
25
33
41
49
4
12
41
49
4
12
20
28
36
44
52
7
15
7
15
23
31
39
47
2
10
34
42
50
5
13
0
8

Buzzard

For easy access to single step movements and both the third and seventh harmonics, the buzzard mapping is quite effective.

8
18
9
19
29
39
49
0
10
20
30
40
50
7
17
1
11
21
31
41
51
8
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38
48
45
2
12
22
32
42
52
9
19
29
39
49
6
16
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
37
47
37
47
4
14
24
34
44
1
11
21
31
41
51
8
18
28
38
48
5
15
38
48
5
15
25
35
45
2
12
22
32
42
52
9
19
29
39
49
6
16
26
36
46
29
39
49
6
16
26
36
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
37
47
4
14
40
50
7
17
27
37
47
4
14
24
34
44
1
11
21
31
41
51
8
18
28
38
48
5
15
25
35
45
8
18
28
38
48
5
15
25
35
45
2
12
22
32
42
52
9
19
29
39
49
6
16
26
36
46
39
49
6
16
26
36
46
3
13
23
33
43
0
10
20
30
40
50
7
17
27
37
47
7
17
27
37
47
4
14
24
34
44
1
11
21
31
41
51
8
18
28
38
38
48
5
15
25
35
45
2
12
22
32
42
52
9
19
29
39
6
16
26
36
46
3
13
23
33
43
0
10
20
30
37
47
4
14
24
34
44
1
11
21
31
5
15
25
35
45
2
12
22
36
46
3
13
23
4
14

Other mappings

The Orwell and semiquartal mappings give over six octaves of range, but miss many notes along the way.

Orwell

6
18
11
23
35
47
6
4
16
28
40
52
11
23
35
9
21
33
45
4
16
28
40
52
11
23
2
14
26
38
50
9
21
33
45
4
16
28
40
52
7
19
31
43
2
14
26
38
50
9
21
33
45
4
16
28
40
0
12
24
36
48
7
19
31
43
2
14
26
38
50
9
21
33
45
4
16
5
17
29
41
0
12
24
36
48
7
19
31
43
2
14
26
38
50
9
21
33
45
4
51
10
22
34
46
5
17
29
41
0
12
24
36
48
7
19
31
43
2
14
26
38
50
9
21
33
15
27
39
51
10
22
34
46
5
17
29
41
0
12
24
36
48
7
19
31
43
2
14
26
38
50
9
21
44
3
15
27
39
51
10
22
34
46
5
17
29
41
0
12
24
36
48
7
19
31
43
2
14
26
32
44
3
15
27
39
51
10
22
34
46
5
17
29
41
0
12
24
36
48
7
19
31
8
20
32
44
3
15
27
39
51
10
22
34
46
5
17
29
41
0
12
24
49
8
20
32
44
3
15
27
39
51
10
22
34
46
5
17
29
25
37
49
8
20
32
44
3
15
27
39
51
10
22
13
25
37
49
8
20
32
44
3
15
27
42
1
13
25
37
49
8
20
30
42
1
13
25
6
18

Semiquartal

32
43
41
52
10
21
32
39
50
8
19
30
41
52
10
48
6
17
28
39
50
8
19
30
41
52
46
4
15
26
37
48
6
17
28
39
50
8
19
30
2
13
24
35
46
4
15
26
37
48
6
17
28
39
50
8
19
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
6
17
28
39
50
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
6
17
28
39
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
6
17
27
38
49
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
26
37
48
6
5
16
27
38
49
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
35
46
4
15
47
5
16
27
38
49
7
18
29
40
51
9
20
31
42
0
11
22
33
44
2
13
24
25
36
47
5
16
27
38
49
7
18
29
40
51
9
20
31
42
0
11
22
14
25
36
47
5
16
27
38
49
7
18
29
40
51
9
20
31
45
3
14
25
36
47
5
16
27
38
49
7
18
29
34
45
3
14
25
36
47
5
16
27
38
12
23
34
45
3
14
25
36
1
12
23
34
45
32
43
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