Lumatone mapping for 63edo

From Xenharmonic Wiki
Jump to navigation Jump to search

There are many conceivable ways to map 63edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

However, to the size of the edo, this mapping does not quite cover all the notes. In addition, the best approximation to 5/4 is the quadruply diminished or pentuply augmented 6th, which is extremely awkward to play with the root and 5th. The second best is shared with 12edo and is a triply augmented unison, which is slightly more ergonomic but still a tough stretch to play as a chord one-handed.

6
17
10
21
32
43
54
3
14
25
36
47
58
6
17
7
18
29
40
51
62
10
21
32
43
54
0
11
22
33
44
55
3
14
25
36
47
58
6
17
4
15
26
37
48
59
7
18
29
40
51
62
10
21
32
43
54
60
8
19
30
41
52
0
11
22
33
44
55
3
14
25
36
47
58
6
17
1
12
23
34
45
56
4
15
26
37
48
59
7
18
29
40
51
62
10
21
32
43
54
57
5
16
27
38
49
60
8
19
30
41
52
0
11
22
33
44
55
3
14
25
36
47
58
6
17
9
20
31
42
53
1
12
23
34
45
56
4
15
26
37
48
59
7
18
29
40
51
62
10
21
32
43
54
35
46
57
5
16
27
38
49
60
8
19
30
41
52
0
11
22
33
44
55
3
14
25
36
47
58
9
20
31
42
53
1
12
23
34
45
56
4
15
26
37
48
59
7
18
29
40
51
62
35
46
57
5
16
27
38
49
60
8
19
30
41
52
0
11
22
33
44
55
9
20
31
42
53
1
12
23
34
45
56
4
15
26
37
48
59
35
46
57
5
16
27
38
49
60
8
19
30
41
52
9
20
31
42
53
1
12
23
34
45
56
35
46
57
5
16
27
38
49
9
20
31
42
53
35
46

Other Mappings

Of the mappings that cover all the notes, the 7L 1s scale generated by 8/63 and the 3L 5s one generated by 23/63 are the most efficient, with the second of those keeping octaves closer to horizontal.

38
46
45
53
61
6
14
44
52
60
5
13
21
29
37
51
59
4
12
20
28
36
44
52
60
5
50
58
3
11
19
27
35
43
51
59
4
12
20
28
57
2
10
18
26
34
42
50
58
3
11
19
27
35
43
51
59
56
1
9
17
25
33
41
49
57
2
10
18
26
34
42
50
58
3
11
19
0
8
16
24
32
40
48
56
1
9
17
25
33
41
49
57
2
10
18
26
34
42
50
62
7
15
23
31
39
47
55
0
8
16
24
32
40
48
56
1
9
17
25
33
41
49
57
2
10
14
22
30
38
46
54
62
7
15
23
31
39
47
55
0
8
16
24
32
40
48
56
1
9
17
25
33
41
37
45
53
61
6
14
22
30
38
46
54
62
7
15
23
31
39
47
55
0
8
16
24
32
40
48
5
13
21
29
37
45
53
61
6
14
22
30
38
46
54
62
7
15
23
31
39
47
55
28
36
44
52
60
5
13
21
29
37
45
53
61
6
14
22
30
38
46
54
59
4
12
20
28
36
44
52
60
5
13
21
29
37
45
53
61
19
27
35
43
51
59
4
12
20
28
36
44
52
60
50
58
3
11
19
27
35
43
51
59
4
10
18
26
34
42
50
58
3
41
49
57
2
10
1
9
47
53
58
1
7
13
19
0
6
12
18
24
30
36
42
11
17
23
29
35
41
47
53
59
2
8
16
22
28
34
40
46
52
58
1
7
13
19
25
31
27
33
39
45
51
57
0
6
12
18
24
30
36
42
48
54
60
32
38
44
50
56
62
5
11
17
23
29
35
41
47
53
59
2
8
14
20
43
49
55
61
4
10
16
22
28
34
40
46
52
58
1
7
13
19
25
31
37
43
49
48
54
60
3
9
15
21
27
33
39
45
51
57
0
6
12
18
24
30
36
42
48
54
60
3
9
2
8
14
20
26
32
38
44
50
56
62
5
11
17
23
29
35
41
47
53
59
2
8
14
20
26
32
38
25
31
37
43
49
55
61
4
10
16
22
28
34
40
46
52
58
1
7
13
19
25
31
37
43
49
54
60
3
9
15
21
27
33
39
45
51
57
0
6
12
18
24
30
36
42
48
54
60
14
20
26
32
38
44
50
56
62
5
11
17
23
29
35
41
47
53
59
2
43
49
55
61
4
10
16
22
28
34
40
46
52
58
1
7
13
3
9
15
21
27
33
39
45
51
57
0
6
12
18
32
38
44
50
56
62
5
11
17
23
29
55
61
4
10
16
22
28
34
21
27
33
39
45
44
50

However, neither of these makes consonant chords particularly easy to play. The fog and magic mappings have smaller ranges, but are more harmonically effective.

Fog

46
51
57
62
4
9
14
0
5
10
15
20
25
30
35
11
16
21
26
31
36
41
46
51
56
61
17
22
27
32
37
42
47
52
57
62
4
9
14
19
28
33
38
43
48
53
58
0
5
10
15
20
25
30
35
40
45
34
39
44
49
54
59
1
6
11
16
21
26
31
36
41
46
51
56
61
3
45
50
55
60
2
7
12
17
22
27
32
37
42
47
52
57
62
4
9
14
19
24
29
51
56
61
3
8
13
18
23
28
33
38
43
48
53
58
0
5
10
15
20
25
30
35
40
45
50
4
9
14
19
24
29
34
39
44
49
54
59
1
6
11
16
21
26
31
36
41
46
51
56
61
3
8
13
25
30
35
40
45
50
55
60
2
7
12
17
22
27
32
37
42
47
52
57
62
4
9
14
19
24
51
56
61
3
8
13
18
23
28
33
38
43
48
53
58
0
5
10
15
20
25
30
35
9
14
19
24
29
34
39
44
49
54
59
1
6
11
16
21
26
31
36
41
35
40
45
50
55
60
2
7
12
17
22
27
32
37
42
47
52
56
61
3
8
13
18
23
28
33
38
43
48
53
58
19
24
29
34
39
44
49
54
59
1
6
40
45
50
55
60
2
7
12
3
8
13
18
23
24
29

Magic

13
16
27
30
33
36
39
38
41
44
47
50
53
56
59
52
55
58
61
1
4
7
10
13
16
19
0
3
6
9
12
15
18
21
24
27
30
33
36
39
14
17
20
23
26
29
32
35
38
41
44
47
50
53
56
59
62
25
28
31
34
37
40
43
46
49
52
55
58
61
1
4
7
10
13
16
19
39
42
45
48
51
54
57
60
0
3
6
9
12
15
18
21
24
27
30
33
36
39
42
50
53
56
59
62
2
5
8
11
14
17
20
23
26
29
32
35
38
41
44
47
50
53
56
59
62
4
7
10
13
16
19
22
25
28
31
34
37
40
43
46
49
52
55
58
61
1
4
7
10
13
16
19
22
24
27
30
33
36
39
42
45
48
51
54
57
60
0
3
6
9
12
15
18
21
24
27
30
33
36
47
50
53
56
59
62
2
5
8
11
14
17
20
23
26
29
32
35
38
41
44
47
50
4
7
10
13
16
19
22
25
28
31
34
37
40
43
46
49
52
55
58
61
27
30
33
36
39
42
45
48
51
54
57
60
0
3
6
9
12
47
50
53
56
59
62
2
5
8
11
14
17
20
23
7
10
13
16
19
22
25
28
31
34
37
27
30
33
36
39
42
45
48
50
53
56
59
62
7
10


View • Talk • EditLumatone mappings 
← 60edo • 61edo • 62edo • Lumatone mapping for 63edo • 64edo • 65edo • 66edo →
Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_63edo&oldid=203593"