Lumatone mapping for 79edo: Difference between revisions

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== Diatonic ==
== Diatonic ==
Note that 79edo is a [[Python]] tuning rather than meantone in the patent val, so while there is a decent approximation to [[5/4]] as a major third, there's an even better one to be found as a doubly-augmented second.
Note that 79edo is a [[Python]] tuning rather than meantone in the patent val, so while there is a decent approximation to [[5/4]] as a major third, there's an even better one to be found as a doubly-augmented second. However, due to the size of this edo, the diatonic mapping does not cover all the notes (to do so would require a hypothetical XL-size Lumatone to have 395 keys in the span of five octaves). Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/EytZXtN3TNw ''Looping the Rooms - Rusino (microtonal cover in 79edo)''] (2026).
{{Lumatone EDO mapping|n=79|start=77|xstep=13|ystep=-6}}
{{Lumatone EDO mapping|n=79|start=77|xstep=13|ystep=-6}}


== Neutral thirds ==
== Neutral seconds/thirds ==
However, due to the size of the edo, this mapping does not cover the whole gamut. Like [[78edo]], the [[7L 3s]] neutral thirds mapping covers the whole gamut about as efficiently as possible and keeps octaves close to horizontal.  
The [[7L 3s]] neutral thirds mapping uses the Alpharabian tendoneutral second ~[[12/11]] as its generator (mapped as 10\79). It covers the whole gamut as efficiently as possible (no missed notes and no repeated notes in a range a bit under 3½ octaves) and keeps octaves close to horizontal. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/watch?v=qj6tmkMvQMU&lc= ''microtonal improvisation in 79edo''] (2025).
{{Lumatone EDO mapping|n=79|start=8|xstep=10|ystep=-7}}
{{Lumatone EDO mapping|n=79|start=4|xstep=10|ystep=-7}}


== Magic ==
== Magic ==

Latest revision as of 16:41, 8 February 2026

There are many conceivable ways to map 79edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

Note that 79edo is a Python tuning rather than meantone in the patent val, so while there is a decent approximation to 5/4 as a major third, there's an even better one to be found as a doubly-augmented second. However, due to the size of this edo, the diatonic mapping does not cover all the notes (to do so would require a hypothetical XL-size Lumatone to have 395 keys in the span of five octaves). Despite the missing notes, Bryan Deister has used this mapping in Looping the Rooms - Rusino (microtonal cover in 79edo) (2026).

77
11
5
18
31
44
57
78
12
25
38
51
64
77
11
6
19
32
45
58
71
5
18
31
44
57
0
13
26
39
52
65
78
12
25
38
51
64
77
11
7
20
33
46
59
72
6
19
32
45
58
71
5
18
31
44
57
1
14
27
40
53
66
0
13
26
39
52
65
78
12
25
38
51
64
77
11
8
21
34
47
60
73
7
20
33
46
59
72
6
19
32
45
58
71
5
18
31
44
57
2
15
28
41
54
67
1
14
27
40
53
66
0
13
26
39
52
65
78
12
25
38
51
64
77
11
22
35
48
61
74
8
21
34
47
60
73
7
20
33
46
59
72
6
19
32
45
58
71
5
18
31
44
57
55
68
2
15
28
41
54
67
1
14
27
40
53
66
0
13
26
39
52
65
78
12
25
38
51
64
22
35
48
61
74
8
21
34
47
60
73
7
20
33
46
59
72
6
19
32
45
58
71
55
68
2
15
28
41
54
67
1
14
27
40
53
66
0
13
26
39
52
65
22
35
48
61
74
8
21
34
47
60
73
7
20
33
46
59
72
55
68
2
15
28
41
54
67
1
14
27
40
53
66
22
35
48
61
74
8
21
34
47
60
73
55
68
2
15
28
41
54
67
22
35
48
61
74
55
68

Neutral seconds/thirds

The 7L 3s neutral thirds mapping uses the Alpharabian tendoneutral second ~12/11 as its generator (mapped as 10\79). It covers the whole gamut as efficiently as possible (no missed notes and no repeated notes in a range a bit under 3½ octaves) and keeps octaves close to horizontal. Bryan Deister has demonstrated this mapping in microtonal improvisation in 79edo (2025).

4
14
7
17
27
37
47
0
10
20
30
40
50
60
70
3
13
23
33
43
53
63
73
4
14
24
75
6
16
26
36
46
56
66
76
7
17
27
37
47
78
9
19
29
39
49
59
69
0
10
20
30
40
50
60
70
1
71
2
12
22
32
42
52
62
72
3
13
23
33
43
53
63
73
4
14
24
74
5
15
25
35
45
55
65
75
6
16
26
36
46
56
66
76
7
17
27
37
47
57
67
77
8
18
28
38
48
58
68
78
9
19
29
39
49
59
69
0
10
20
30
40
50
60
70
1
1
11
21
31
41
51
61
71
2
12
22
32
42
52
62
72
3
13
23
33
43
53
63
73
4
14
24
34
24
34
44
54
64
74
5
15
25
35
45
55
65
75
6
16
26
36
46
56
66
76
7
17
27
37
57
67
77
8
18
28
38
48
58
68
78
9
19
29
39
49
59
69
0
10
20
30
40
1
11
21
31
41
51
61
71
2
12
22
32
42
52
62
72
3
13
23
33
34
44
54
64
74
5
15
25
35
45
55
65
75
6
16
26
36
57
67
77
8
18
28
38
48
58
68
78
9
19
29
11
21
31
41
51
61
71
2
12
22
32
34
44
54
64
74
5
15
25
67
77
8
18
28
11
21

Magic

The 3L 7s magic mapping is similarly efficient, but favors different intervals.

19
23
36
40
44
48
52
49
53
57
61
65
69
73
77
66
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74
78
3
7
11
15
19
23
27
0
4
8
12
16
20
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28
32
36
40
44
48
52
17
21
25
29
33
37
41
45
49
53
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77
2
30
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50
54
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62
66
70
74
78
3
7
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27
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67
71
75
0
4
8
12
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28
32
36
40
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48
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76
1
5
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2
2
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0
4
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1
5
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37
41
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65
2
6
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54
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66
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78
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35
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75
0
4
8
12
16
56
60
64
68
72
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1
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21
25
29
6
10
14
18
22
26
30
34
38
42
46
31
35
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76
6
10
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