Lumatone mapping for 100edo: Difference between revisions

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To maximise your range while covering the full gamut, use the [[3L 10s]] scale generated by a submajor third of 31/100.  
To maximise your range while covering the full gamut, use the [[3L 10s]] scale generated by a submajor third of 31/100.  
{{Lumatone EDO mapping|n=100|start=74|xstep=7|ystep=3}}
{{Lumatone EDO mapping|n=100|start=74|xstep=7|ystep=3}}
{{Navbox Lumatone}}

Latest revision as of 20:39, 12 August 2025

There are many conceivable ways to map 100edo 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.

Diatonic

However, you can use the 100b val (using 59\100) to generate a hard diatonic (18:5 step size ratio) that is a good tuning for quasisupra. This will fail to cover the whole gamut due to the size of the edo.

16
34
21
39
57
75
93
8
26
44
62
80
98
16
34
13
31
49
67
85
3
21
39
57
75
93
0
18
36
54
72
90
8
26
44
62
80
98
16
34
5
23
41
59
77
95
13
31
49
67
85
3
21
39
57
75
93
92
10
28
46
64
82
0
18
36
54
72
90
8
26
44
62
80
98
16
34
97
15
33
51
69
87
5
23
41
59
77
95
13
31
49
67
85
3
21
39
57
75
93
84
2
20
38
56
74
92
10
28
46
64
82
0
18
36
54
72
90
8
26
44
62
80
98
16
34
7
25
43
61
79
97
15
33
51
69
87
5
23
41
59
77
95
13
31
49
67
85
3
21
39
57
75
93
48
66
84
2
20
38
56
74
92
10
28
46
64
82
0
18
36
54
72
90
8
26
44
62
80
98
7
25
43
61
79
97
15
33
51
69
87
5
23
41
59
77
95
13
31
49
67
85
3
48
66
84
2
20
38
56
74
92
10
28
46
64
82
0
18
36
54
72
90
7
25
43
61
79
97
15
33
51
69
87
5
23
41
59
77
95
48
66
84
2
20
38
56
74
92
10
28
46
64
82
7
25
43
61
79
97
15
33
51
69
87
48
66
84
2
20
38
56
74
7
25
43
61
79
48
66

Since 50edo is already divisible by two, injera and its extensions also fail to cover all the notes in 100edo unless you divide the octave into four. The 4L 8s mapping covers most of the notes with the occasional skip, while the 12L 4s one does cover all the notes, but with very limited range and lopsided step size.

4L 8s

80
88
89
97
5
13
21
90
98
6
14
22
30
38
46
99
7
15
23
31
39
47
55
63
71
79
0
8
16
24
32
40
48
56
64
72
80
88
96
4
9
17
25
33
41
49
57
65
73
81
89
97
5
13
21
29
37
10
18
26
34
42
50
58
66
74
82
90
98
6
14
22
30
38
46
54
62
19
27
35
43
51
59
67
75
83
91
99
7
15
23
31
39
47
55
63
71
79
87
95
20
28
36
44
52
60
68
76
84
92
0
8
16
24
32
40
48
56
64
72
80
88
96
4
12
20
37
45
53
61
69
77
85
93
1
9
17
25
33
41
49
57
65
73
81
89
97
5
13
21
29
37
45
53
62
70
78
86
94
2
10
18
26
34
42
50
58
66
74
82
90
98
6
14
22
30
38
46
54
62
95
3
11
19
27
35
43
51
59
67
75
83
91
99
7
15
23
31
39
47
55
63
71
20
28
36
44
52
60
68
76
84
92
0
8
16
24
32
40
48
56
64
72
53
61
69
77
85
93
1
9
17
25
33
41
49
57
65
73
81
78
86
94
2
10
18
26
34
42
50
58
66
74
82
11
19
27
35
43
51
59
67
75
83
91
36
44
52
60
68
76
84
92
69
77
85
93
1
94
2

12L 4s

12
20
13
21
29
37
45
6
14
22
30
38
46
54
62
7
15
23
31
39
47
55
63
71
79
87
0
8
16
24
32
40
48
56
64
72
80
88
96
4
1
9
17
25
33
41
49
57
65
73
81
89
97
5
13
21
29
94
2
10
18
26
34
42
50
58
66
74
82
90
98
6
14
22
30
38
46
95
3
11
19
27
35
43
51
59
67
75
83
91
99
7
15
23
31
39
47
55
63
71
88
96
4
12
20
28
36
44
52
60
68
76
84
92
0
8
16
24
32
40
48
56
64
72
80
88
97
5
13
21
29
37
45
53
61
69
77
85
93
1
9
17
25
33
41
49
57
65
73
81
89
97
5
13
14
22
30
38
46
54
62
70
78
86
94
2
10
18
26
34
42
50
58
66
74
82
90
98
6
14
39
47
55
63
71
79
87
95
3
11
19
27
35
43
51
59
67
75
83
91
99
7
15
56
64
72
80
88
96
4
12
20
28
36
44
52
60
68
76
84
92
0
8
81
89
97
5
13
21
29
37
45
53
61
69
77
85
93
1
9
98
6
14
22
30
38
46
54
62
70
78
86
94
2
23
31
39
47
55
63
71
79
87
95
3
40
48
56
64
72
80
88
96
65
73
81
89
97
82
90

Other Mappings

To maximise your range while covering the full gamut, use the 3L 10s scale generated by a submajor third of 31/100.

74
81
84
91
98
5
12
87
94
1
8
15
22
29
36
97
4
11
18
25
32
39
46
53
60
67
0
7
14
21
28
35
42
49
56
63
70
77
84
91
10
17
24
31
38
45
52
59
66
73
80
87
94
1
8
15
22
13
20
27
34
41
48
55
62
69
76
83
90
97
4
11
18
25
32
39
46
23
30
37
44
51
58
65
72
79
86
93
0
7
14
21
28
35
42
49
56
63
70
77
26
33
40
47
54
61
68
75
82
89
96
3
10
17
24
31
38
45
52
59
66
73
80
87
94
1
43
50
57
64
71
78
85
92
99
6
13
20
27
34
41
48
55
62
69
76
83
90
97
4
11
18
25
32
67
74
81
88
95
2
9
16
23
30
37
44
51
58
65
72
79
86
93
0
7
14
21
28
35
42
98
5
12
19
26
33
40
47
54
61
68
75
82
89
96
3
10
17
24
31
38
45
52
22
29
36
43
50
57
64
71
78
85
92
99
6
13
20
27
34
41
48
55
53
60
67
74
81
88
95
2
9
16
23
30
37
44
51
58
65
77
84
91
98
5
12
19
26
33
40
47
54
61
68
8
15
22
29
36
43
50
57
64
71
78
32
39
46
53
60
67
74
81
63
70
77
84
91
87
94
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