Lumatone mapping for 75edo
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There are many conceivable ways to map 75edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
However, Due to the size of the edo, this mapping does not cover all the notes. In addition, like 46edo, 75edo is a leapday system, so the best approximation to 5/4 is a triply-augmented unison, which makes for awkward fingerings.
6
19
11
24
37
50
63
3
16
29
42
55
68
6
19
8
21
34
47
60
73
11
24
37
50
63
0
13
26
39
52
65
3
16
29
42
55
68
6
19
5
18
31
44
57
70
8
21
34
47
60
73
11
24
37
50
63
72
10
23
36
49
62
0
13
26
39
52
65
3
16
29
42
55
68
6
19
2
15
28
41
54
67
5
18
31
44
57
70
8
21
34
47
60
73
11
24
37
50
63
69
7
20
33
46
59
72
10
23
36
49
62
0
13
26
39
52
65
3
16
29
42
55
68
6
19
12
25
38
51
64
2
15
28
41
54
67
5
18
31
44
57
70
8
21
34
47
60
73
11
24
37
50
63
43
56
69
7
20
33
46
59
72
10
23
36
49
62
0
13
26
39
52
65
3
16
29
42
55
68
12
25
38
51
64
2
15
28
41
54
67
5
18
31
44
57
70
8
21
34
47
60
73
43
56
69
7
20
33
46
59
72
10
23
36
49
62
0
13
26
39
52
65
12
25
38
51
64
2
15
28
41
54
67
5
18
31
44
57
70
43
56
69
7
20
33
46
59
72
10
23
36
49
62
12
25
38
51
64
2
15
28
41
54
67
43
56
69
7
20
33
46
59
12
25
38
51
64
43
56
Tetracot
The Tetracot mapping is considerably more efficient at putting harmonics close together, although it also needs to be expanded from 6L 1s to 7L 6s to hit every single note, which puts octaves all over the place
45
56
54
65
1
12
23
52
63
74
10
21
32
43
54
61
72
8
19
30
41
52
63
74
10
21
59
70
6
17
28
39
50
61
72
8
19
30
41
52
68
4
15
26
37
48
59
70
6
17
28
39
50
61
72
8
19
66
2
13
24
35
46
57
68
4
15
26
37
48
59
70
6
17
28
39
50
0
11
22
33
44
55
66
2
13
24
35
46
57
68
4
15
26
37
48
59
70
6
17
73
9
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31
42
53
64
0
11
22
33
44
55
66
2
13
24
35
46
57
68
4
15
26
37
48
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29
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62
73
9
20
31
42
53
64
0
11
22
33
44
55
66
2
13
24
35
46
57
68
4
15
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60
71
7
18
29
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51
62
73
9
20
31
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53
64
0
11
22
33
44
55
66
2
13
24
16
27
38
49
60
71
7
18
29
40
51
62
73
9
20
31
42
53
64
0
11
22
33
47
58
69
5
16
27
38
49
60
71
7
18
29
40
51
62
73
9
20
31
14
25
36
47
58
69
5
16
27
38
49
60
71
7
18
29
40
45
56
67
3
14
25
36
47
58
69
5
16
27
38
12
23
34
45
56
67
3
14
25
36
47
43
54
65
1
12
23
34
45
10
21
32
43
54
41
52
0
9
2
11
20
29
38
70
4
13
22
31
40
49
58
72
6
15
24
33
42
51
60
69
3
12
65
74
8
17
26
35
44
53
62
71
5
14
23
32
67
1
10
19
28
37
46
55
64
73
7
16
25
34
43
52
61
60
69
3
12
21
30
39
48
57
66
0
9
18
27
36
45
54
63
72
6
62
71
5
14
23
32
41
50
59
68
2
11
20
29
38
47
56
65
74
8
17
26
35
55
64
73
7
16
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34
43
52
61
70
4
13
22
31
40
49
58
67
1
10
19
28
37
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55
66
0
9
18
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36
45
54
63
72
6
15
24
33
42
51
60
69
3
12
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30
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66
0
9
11
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29
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65
74
8
17
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71
5
14
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41
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68
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11
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67
1
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64
73
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16
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61
70
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13
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69
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12
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30
39
48
57
66
0
9
18
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45
54
63
72
6
14
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32
41
50
59
68
2
11
20
29
38
47
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65
74
8
34
43
52
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70
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13
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31
40
49
58
67
1
63
72
6
15
24
33
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69
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8
17
26
35
44
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62
71
37
46
55
64
73
57
66
Fog
To maximise range while covering the whole gamut, giving easy access to lower harmonics and keeping octaves near horizontal, slice the period into thirds to produce the Fog mapping.
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10
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68
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0
6
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64
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1
7
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67
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68
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11
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69
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6
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36
42
48
54
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66
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64
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7
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31
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67
73
4
10
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8
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32
38
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68
74
5
11
17
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29
72
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9
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69
0
6
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Neutral Thirds
The neutral thirds mapping has slightly less range, but skips fewer notes around the edges and keeps octaves even closer to horizontal.
2
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33
42
1
10
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37
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14
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32
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50
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0
9
18
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36
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54
63
72
6
15
24
33
42
4
13
22
31
40
49
58
67
1
10
19
28
37
46
55
64
73
74
8
17
26
35
44
53
62
71
5
14
23
32
41
50
59
68
2
11
20
3
12
21
30
39
48
57
66
0
9
18
27
36
45
54
63
72
6
15
24
33
42
51
73
7
16
25
34
43
52
61
70
4
13
22
31
40
49
58
67
1
10
19
28
37
46
55
64
73
11
20
29
38
47
56
65
74
8
17
26
35
44
53
62
71
5
14
23
32
41
50
59
68
2
11
20
29
33
42
51
60
69
3
12
21
30
39
48
57
66
0
9
18
27
36
45
54
63
72
6
15
24
33
64
73
7
16
25
34
43
52
61
70
4
13
22
31
40
49
58
67
1
10
19
28
37
11
20
29
38
47
56
65
74
8
17
26
35
44
53
62
71
5
14
23
32
42
51
60
69
3
12
21
30
39
48
57
66
0
9
18
27
36
64
73
7
16
25
34
43
52
61
70
4
13
22
31
20
29
38
47
56
65
74
8
17
26
35
42
51
60
69
3
12
21
30
73
7
16
25
34
20
29