Lumatone mapping for 56edo: Difference between revisions
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== Diatonic == | == Diatonic == | ||
This is the highest EDO in which the standard Bosanquet–Wilson mapping gives you access to all notes in the gamut in | This is the highest EDO in which the standard Bosanquet–Wilson mapping gives you access to all notes in the gamut in each octave, except where chopped off at the left and right edges (note 1 in the lowest octave, and notes 48, 50, 52, and 55 in the highest octave). Each note appears exactly only once with no skips or repetitions. | ||
{{Lumatone EDO mapping|n=56|start=8|xstep=10|ystep=-7}} | {{Lumatone EDO mapping|n=56|start=8|xstep=10|ystep=-7}} | ||
Revision as of 19:36, 4 July 2025
There are many conceivable ways to map 56edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
This is the highest EDO in which the standard Bosanquet–Wilson mapping gives you access to all notes in the gamut in each octave, except where chopped off at the left and right edges (note 1 in the lowest octave, and notes 48, 50, 52, and 55 in the highest octave). Each note appears exactly only once with no skips or repetitions.
8
18
11
21
31
41
51
4
14
24
34
44
54
8
18
7
17
27
37
47
1
11
21
31
41
51
0
10
20
30
40
50
4
14
24
34
44
54
8
18
3
13
23
33
43
53
7
17
27
37
47
1
11
21
31
41
51
52
6
16
26
36
46
0
10
20
30
40
50
4
14
24
34
44
54
8
18
55
9
19
29
39
49
3
13
23
33
43
53
7
17
27
37
47
1
11
21
31
41
51
48
2
12
22
32
42
52
6
16
26
36
46
0
10
20
30
40
50
4
14
24
34
44
54
8
18
5
15
25
35
45
55
9
19
29
39
49
3
13
23
33
43
53
7
17
27
37
47
1
11
21
31
41
51
28
38
48
2
12
22
32
42
52
6
16
26
36
46
0
10
20
30
40
50
4
14
24
34
44
54
5
15
25
35
45
55
9
19
29
39
49
3
13
23
33
43
53
7
17
27
37
47
1
28
38
48
2
12
22
32
42
52
6
16
26
36
46
0
10
20
30
40
50
5
15
25
35
45
55
9
19
29
39
49
3
13
23
33
43
53
28
38
48
2
12
22
32
42
52
6
16
26
36
46
5
15
25
35
45
55
9
19
29
39
49
28
38
48
2
12
22
32
42
5
15
25
35
45
28
38
Pajara
The 2L 8s mapping for Pajara mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.
23
28
31
36
41
46
51
34
39
44
49
54
3
8
13
42
47
52
1
6
11
16
21
26
31
36
45
50
55
4
9
14
19
24
29
34
39
44
49
54
53
2
7
12
17
22
27
32
37
42
47
52
1
6
11
16
21
0
5
10
15
20
25
30
35
40
45
50
55
4
9
14
19
24
29
34
39
8
13
18
23
28
33
38
43
48
53
2
7
12
17
22
27
32
37
42
47
52
1
6
11
16
21
26
31
36
41
46
51
0
5
10
15
20
25
30
35
40
45
50
55
4
9
14
19
24
24
29
34
39
44
49
54
3
8
13
18
23
28
33
38
43
48
53
2
7
12
17
22
27
32
37
42
47
42
47
52
1
6
11
16
21
26
31
36
41
46
51
0
5
10
15
20
25
30
35
40
45
50
55
9
14
19
24
29
34
39
44
49
54
3
8
13
18
23
28
33
38
43
48
53
2
7
27
32
37
42
47
52
1
6
11
16
21
26
31
36
41
46
51
0
5
10
50
55
4
9
14
19
24
29
34
39
44
49
54
3
8
13
18
12
17
22
27
32
37
42
47
52
1
6
11
16
21
35
40
45
50
55
4
9
14
19
24
29
53
2
7
12
17
22
27
32
20
25
30
35
40
38
43