Lumatone mapping for 74edo: Difference between revisions
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m Shifting zero point to give two complete octaves and amend description appropriately. |
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== Semimeantone == | == Semimeantone == | ||
The [[2L 8s]] mapping covers the whole gamut as efficiently as possible in a span of three octaves, although notes 52, 58, 65 & 71-72 are missing from the otherwise full upper octave | The [[2L 8s]] mapping covers the whole gamut as efficiently as possible in a span of three octaves, although notes 52, 58, 65 & 71-72 are missing from the otherwise full upper octave; octaves slope slightly upward. | ||
{{Lumatone EDO mapping|n=74|start=68|xstep=6|ystep=7}} | {{Lumatone EDO mapping|n=74|start=68|xstep=6|ystep=7}} | ||
Revision as of 20:30, 8 June 2025
There are many conceivable ways to map 74edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean. However, due to its size, this mapping does not cover all the notes, although this does not matter in many keys because lower limit harmonics are relatively close together.
Diatonic
70
8
3
15
27
39
51
72
10
22
34
46
58
70
8
5
17
29
41
53
65
3
15
27
39
51
0
12
24
36
48
60
72
10
22
34
46
58
70
8
7
19
31
43
55
67
5
17
29
41
53
65
3
15
27
39
51
2
14
26
38
50
62
0
12
24
36
48
60
72
10
22
34
46
58
70
8
9
21
33
45
57
69
7
19
31
43
55
67
5
17
29
41
53
65
3
15
27
39
51
4
16
28
40
52
64
2
14
26
38
50
62
0
12
24
36
48
60
72
10
22
34
46
58
70
8
23
35
47
59
71
9
21
33
45
57
69
7
19
31
43
55
67
5
17
29
41
53
65
3
15
27
39
51
54
66
4
16
28
40
52
64
2
14
26
38
50
62
0
12
24
36
48
60
72
10
22
34
46
58
23
35
47
59
71
9
21
33
45
57
69
7
19
31
43
55
67
5
17
29
41
53
65
54
66
4
16
28
40
52
64
2
14
26
38
50
62
0
12
24
36
48
60
23
35
47
59
71
9
21
33
45
57
69
7
19
31
43
55
67
54
66
4
16
28
40
52
64
2
14
26
38
50
62
23
35
47
59
71
9
21
33
45
57
69
54
66
4
16
28
40
52
64
23
35
47
59
71
54
66
Semimeantone
The 2L 8s mapping covers the whole gamut as efficiently as possible in a span of three octaves, although notes 52, 58, 65 & 71-72 are missing from the otherwise full upper octave; octaves slope slightly upward.
68
0
7
13
19
25
31
14
20
26
32
38
44
50
56
27
33
39
45
51
57
63
69
1
7
13
34
40
46
52
58
64
70
2
8
14
20
26
32
38
47
53
59
65
71
3
9
15
21
27
33
39
45
51
57
63
69
54
60
66
72
4
10
16
22
28
34
40
46
52
58
64
70
2
8
14
20
67
73
5
11
17
23
29
35
41
47
53
59
65
71
3
9
15
21
27
33
39
45
51
0
6
12
18
24
30
36
42
48
54
60
66
72
4
10
16
22
28
34
40
46
52
58
64
70
2
19
25
31
37
43
49
55
61
67
73
5
11
17
23
29
35
41
47
53
59
65
71
3
9
15
21
27
33
44
50
56
62
68
0
6
12
18
24
30
36
42
48
54
60
66
72
4
10
16
22
28
34
40
46
1
7
13
19
25
31
37
43
49
55
61
67
73
5
11
17
23
29
35
41
47
53
59
26
32
38
44
50
56
62
68
0
6
12
18
24
30
36
42
48
54
60
66
57
63
69
1
7
13
19
25
31
37
43
49
55
61
67
73
5
8
14
20
26
32
38
44
50
56
62
68
0
6
12
39
45
51
57
63
69
1
7
13
19
25
64
70
2
8
14
20
26
32
21
27
33
39
45
46
52
Liese
The 2L 9s mapping is another option, especially if you don't mind using the second best mapping for some notes in larger chords; however, it skips some notes in all octaves, exacerbated in the lower and upper full octaves by the shear inherent in this layout.
27
31
46
50
54
58
62
61
65
69
73
3
7
11
15
6
10
14
18
22
26
30
34
38
42
46
21
25
29
33
37
41
45
49
53
57
61
65
69
73
40
44
48
52
56
60
64
68
72
2
6
10
14
18
22
26
30
55
59
63
67
71
1
5
9
13
17
21
25
29
33
37
41
45
49
53
57
0
4
8
12
16
20
24
28
32
36
40
44
48
52
56
60
64
68
72
2
6
10
14
15
19
23
27
31
35
39
43
47
51
55
59
63
67
71
1
5
9
13
17
21
25
29
33
37
41
38
42
46
50
54
58
62
66
70
0
4
8
12
16
20
24
28
32
36
40
44
48
52
56
60
64
68
72
65
69
73
3
7
11
15
19
23
27
31
35
39
43
47
51
55
59
63
67
71
1
5
9
13
17
22
26
30
34
38
42
46
50
54
58
62
66
70
0
4
8
12
16
20
24
28
32
36
49
53
57
61
65
69
73
3
7
11
15
19
23
27
31
35
39
43
47
51
6
10
14
18
22
26
30
34
38
42
46
50
54
58
62
66
70
33
37
41
45
49
53
57
61
65
69
73
3
7
11
64
68
72
2
6
10
14
18
22
26
30
17
21
25
29
33
37
41
45
48
52
56
60
64
1
5