There are many conceivable ways to map 62edo onto the onto the Lumatone keyboard. However, it has 2 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them. Due to its size, it would not quite cover the whole gamut even if it was.
Diatonic
You can use the b val, but this is extremely sharp, surpassing half comma superpyth and making major seconds near perfect 8/7's. This does mean that the better 5th is also fairly easily accessible as an augmented 4th, but the best approximation to 5/4 is a triply augmented 6th, while 11/8 is a triply diminished seventh, both of which are pretty awkward to play in a chord.
20
32
21
33
45
57
7
10
22
34
46
58
8
20
32
11
23
35
47
59
9
21
33
45
57
7
0
12
24
36
48
60
10
22
34
46
58
8
20
32
1
13
25
37
49
61
11
23
35
47
59
9
21
33
45
57
7
52
2
14
26
38
50
0
12
24
36
48
60
10
22
34
46
58
8
20
32
53
3
15
27
39
51
1
13
25
37
49
61
11
23
35
47
59
9
21
33
45
57
7
42
54
4
16
28
40
52
2
14
26
38
50
0
12
24
36
48
60
10
22
34
46
58
8
20
32
55
5
17
29
41
53
3
15
27
39
51
1
13
25
37
49
61
11
23
35
47
59
9
21
33
45
57
7
18
30
42
54
4
16
28
40
52
2
14
26
38
50
0
12
24
36
48
60
10
22
34
46
58
8
55
5
17
29
41
53
3
15
27
39
51
1
13
25
37
49
61
11
23
35
47
59
9
18
30
42
54
4
16
28
40
52
2
14
26
38
50
0
12
24
36
48
60
55
5
17
29
41
53
3
15
27
39
51
1
13
25
37
49
61
18
30
42
54
4
16
28
40
52
2
14
26
38
50
55
5
17
29
41
53
3
15
27
39
51
18
30
42
54
4
16
28
40
55
5
17
29
41
18
30
Other Mappings
Since 31edo is such a well-tuned edo in general, most of the mos scales in 62edo do not improve on it, making it difficult to use the extra notes if concordant harmony is your goal. However, there are two different octatonic mappings of comparable efficiency that are clear winners if you simply want access to the full gamut. These are the 6L 2s mappings created by slicing both the generator and period in half for the myna and mohajira mappings.
