Lumatone mapping for 88edo: Difference between revisions

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→Other Mappings: Fix typo (88EDO does not appear in 9L 2s; appears in 8L 2s only by contortion under 44edo; appears in 7L 2s with 10:9 step ratio)
→Expanded Diatonic: Insert Bryan Deister's rotated diatonic mapping after this
 
(7 intermediate revisions by 2 users not shown)
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== Diatonic ==
== Diatonic ==
However, due to the size of the edo, this does not cover the whole gamut, although for a meantone mapping, this is not necessarily a show-stopper. Despite the missing notes, [[Bryan Deister]] uses this mapping in [https://www.youtube.com/shorts/g55YTKvWyK4 ''March in 88edo''] (2026).
{{Lumatone EDO mapping|n=88|start=80|xstep=14|ystep=-5}}
{{Lumatone EDO mapping|n=88|start=80|xstep=14|ystep=-5}}
However, due to the size of the edo, this does not cover the whole gamut. You can expand it to the [[7L 5s]] mapping, but this gives octaves a moderate downward slant.
 
=== Expanded Diatonic ===
If you do want to cover all the notes with no skips and minimal repetition, you can expand it to the [[7L 5s]] mapping, but this gives octaves a moderate downward slant. This is the highest edo in which this mapping gives access to all the notes, higher ones will need to use the even more expanded [[12L 5s]] or [[12L 7s]] MOSes. Brian Deister uses this mapping in [https://www.youtube.com/watch?v=JQly-kX6kcM ''microtonal improvisation in 88edo''].
{{Lumatone EDO mapping|n=88|start=0|xstep=9|ystep=-4}}
{{Lumatone EDO mapping|n=88|start=0|xstep=9|ystep=-4}}
Keeping the same generator but setting the period to the quarter octave gives you a near equal [[4L 8s]] scale that keeps octaves closer to horizontal and makes chords easy to play  
Keeping the same generator but setting the period to the quarter octave gives you a near equal [[4L 8s]] scale that keeps octaves closer to horizontal and makes chords easy to play  
{{Lumatone EDO mapping|n=88|start=79|xstep=7|ystep=1}}
{{Lumatone EDO mapping|n=88|start=79|xstep=7|ystep=1}}
=== Rotated Diatonic ===
Since [[88edo]] is too large for the normal Standard Lumatone Mapping for Pythagorean to get all the notes, while the [[7L 2s]] mapping may cause excessive stretching of the fingers for some people, another possibility is to rotate the Lumatone to make the [[5L 2s]] scale (14:9 step ratio) run down-right and down, as demonstrated in {{W|Nobuo Uematsu}}'s [https://www.youtube.com/shorts/d3v6ji8EqQ8 ''The Extreme''] from ''{{W|Final Fantasy VIII}}'' (1999) – microtonal cover in 88edo by [[Bryan Deister]] (2026). This layout yields just under 2⅛ complete octaves with no missing notes and very few repeated note, although the upper left and lower right corners both have a large number of notes in partial octaves below and above these, due to the lopsidedness of the mapping; if the Lumatone is not rotated, the octaves slope down, but if the Lumatone is rotated 90° left as shown in the video, then the octaves proceed upward with a rightward slant.
{{Lumatone EDO mapping|n=88|start=9|xstep=5|ystep=9}}


== Mothra ==
== Mothra ==
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== Other Mappings ==
== Other Mappings ==
To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[7L 2s]] scale which is not particularly intuitive to play.
To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted [[9L 2s]] (step ratio 10:-1) scale which is not particularly intuitive to play.
{{Lumatone EDO mapping|n=88|start=5|xstep=10|ystep=-11}}
{{Lumatone EDO mapping|n=88|start=5|xstep=10|ystep=-11}}




{{Navbox Lumatone}}
{{Navbox Lumatone}}

Latest revision as of 06:08, 14 July 2026

There are many conceivable ways to map 88edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean. The b val is only slightly worse tuned, but produces 4 unconnected rings of 22edo notes.

Diatonic

However, due to the size of the edo, this does not cover the whole gamut, although for a meantone mapping, this is not necessarily a show-stopper. Despite the missing notes, Bryan Deister uses this mapping in March in 88edo (2026).

80
6
1
15
29
43
57
84
10
24
38
52
66
80
6
5
19
33
47
61
75
1
15
29
43
57
0
14
28
42
56
70
84
10
24
38
52
66
80
6
9
23
37
51
65
79
5
19
33
47
61
75
1
15
29
43
57
4
18
32
46
60
74
0
14
28
42
56
70
84
10
24
38
52
66
80
6
13
27
41
55
69
83
9
23
37
51
65
79
5
19
33
47
61
75
1
15
29
43
57
8
22
36
50
64
78
4
18
32
46
60
74
0
14
28
42
56
70
84
10
24
38
52
66
80
6
31
45
59
73
87
13
27
41
55
69
83
9
23
37
51
65
79
5
19
33
47
61
75
1
15
29
43
57
68
82
8
22
36
50
64
78
4
18
32
46
60
74
0
14
28
42
56
70
84
10
24
38
52
66
31
45
59
73
87
13
27
41
55
69
83
9
23
37
51
65
79
5
19
33
47
61
75
68
82
8
22
36
50
64
78
4
18
32
46
60
74
0
14
28
42
56
70
31
45
59
73
87
13
27
41
55
69
83
9
23
37
51
65
79
68
82
8
22
36
50
64
78
4
18
32
46
60
74
31
45
59
73
87
13
27
41
55
69
83
68
82
8
22
36
50
64
78
31
45
59
73
87
68
82

Expanded Diatonic

If you do want to cover all the notes with no skips and minimal repetition, you can expand it to the 7L 5s mapping, but this gives octaves a moderate downward slant. This is the highest edo in which this mapping gives access to all the notes, higher ones will need to use the even more expanded 12L 5s or 12L 7s MOSes. Brian Deister uses this mapping in microtonal improvisation in 88edo.

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

Keeping the same generator but setting the period to the quarter octave gives you a near equal 4L 8s scale that keeps octaves closer to horizontal and makes chords easy to play

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

Rotated Diatonic

Since 88edo is too large for the normal Standard Lumatone Mapping for Pythagorean to get all the notes, while the 7L 2s mapping may cause excessive stretching of the fingers for some people, another possibility is to rotate the Lumatone to make the 5L 2s scale (14:9 step ratio) run down-right and down, as demonstrated in Nobuo Uematsu's The Extreme from Final Fantasy VIII (1999) – microtonal cover in 88edo by Bryan Deister (2026). This layout yields just under 2⅛ complete octaves with no missing notes and very few repeated note, although the upper left and lower right corners both have a large number of notes in partial octaves below and above these, due to the lopsidedness of the mapping; if the Lumatone is not rotated, the octaves slope down, but if the Lumatone is rotated 90° left as shown in the video, then the octaves proceed upward with a rightward slant.

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

Mothra

The Mothra mapping is also a good option, as 88edo is its higher limit optimal patent val. However, it has similar problems to the meantone mapping in that you have to choose between not having access to all the notes or heavily slanted octaves.

1L 4s

19
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73
2
19
42
59
76
5
22
39
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79
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25
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59
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22
39
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65
82
11
28
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8
25
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59
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5
22
85
14
31
48
65
82
11
28
45
62
79
8
25
42
59
76
5
0
17
34
51
68
85
14
31
48
65
82
11
28
45
62
79
8
25
42
59
20
37
54
71
0
17
34
51
68
85
14
31
48
65
82
11
28
45
62
79
8
25
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23
40
57
74
3
20
37
54
71
0
17
34
51
68
85
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31
48
65
82
11
28
45
62
79
8
60
77
6
23
40
57
74
3
20
37
54
71
0
17
34
51
68
85
14
31
48
65
82
11
28
45
62
79
26
43
60
77
6
23
40
57
74
3
20
37
54
71
0
17
34
51
68
85
14
31
48
65
82
11
9
26
43
60
77
6
23
40
57
74
3
20
37
54
71
0
17
34
51
68
85
14
31
63
80
9
26
43
60
77
6
23
40
57
74
3
20
37
54
71
0
17
34
46
63
80
9
26
43
60
77
6
23
40
57
74
3
20
37
54
12
29
46
63
80
9
26
43
60
77
6
23
40
57
83
12
29
46
63
80
9
26
43
60
77
49
66
83
12
29
46
63
80
32
49
66
83
12
86
15

5L 1s

33
50
36
53
70
87
16
22
39
56
73
2
19
36
53
25
42
59
76
5
22
39
56
73
2
19
11
28
45
62
79
8
25
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5
22
39
56
14
31
48
65
82
11
28
45
62
79
8
25
42
59
76
5
22
0
17
34
51
68
85
14
31
48
65
82
11
28
45
62
79
8
25
42
59
3
20
37
54
71
0
17
34
51
68
85
14
31
48
65
82
11
28
45
62
79
8
25
77
6
23
40
57
74
3
20
37
54
71
0
17
34
51
68
85
14
31
48
65
82
11
28
45
62
9
26
43
60
77
6
23
40
57
74
3
20
37
54
71
0
17
34
51
68
85
14
31
48
65
82
11
28
46
63
80
9
26
43
60
77
6
23
40
57
74
3
20
37
54
71
0
17
34
51
68
85
14
31
12
29
46
63
80
9
26
43
60
77
6
23
40
57
74
3
20
37
54
71
0
17
34
49
66
83
12
29
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80
9
26
43
60
77
6
23
40
57
74
3
20
15
32
49
66
83
12
29
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63
80
9
26
43
60
77
6
23
52
69
86
15
32
49
66
83
12
29
46
63
80
9
18
35
52
69
86
15
32
49
66
83
12
55
72
1
18
35
52
69
86
21
38
55
72
1
58
75

5L 6s

0
3
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25
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31
34
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51
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86
1
64
67
70
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79
82
85
0
3
6
9
12
15
18
21
24
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78
81
84
87
2
5
8
11
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32
35
38
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44
1
4
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67
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87
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68
71
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1
4
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85
0
3
6
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2
5
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7
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61
27
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50
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83
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85
0
3
6
9
12
2
5
8
11
14
17
20
23
25
28
31
34
37
45
48

Other Mappings

To maximise your range without skipping notes and keep octaves close to horizontal involves an inverted 9L 2s (step ratio 10:-1) scale which is not particularly intuitive to play.

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


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