User:Lucius Chiaraviglio/Keyboard Layout Lab/Unnamed temperament Lumatone mappings: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
→57edo (demonstrated to work): Add Bryan Deister's Lumatone mapping for 60edo after this
Line 53: Line 53:
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:07, 12 May 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:07, 12 May 2025 (UTC)


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 17:43, 31 July 2025 (UTC)
== 60edo (demonstrated to work but awaiting approval) ==
 
[[Bryan Deister]] has demonstrated a [[4L 2s]] (11:8 step ratio) mapping for [[60edo]], in [https://www.youtube.com/shorts/VA_P26_3dTk ''60edo improv''] (2025-11-22). (Rest of description goes here.)
 
{{Lumatone EDO mapping|n=60|start=27|xstep=8|ystep=3}}
 
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 00:13, 23 November 2025 (UTC)


=== 62edo (demonstrated to work) ===
=== 62edo (demonstrated to work) ===

Revision as of 00:13, 23 November 2025

Various Kit-Bashed Lumatone mappings

These Lumatone mappings were not created for a particular temperament, but as experiments in modifying the Lumatone mapping of one EDO to work for a nearby size without regard to whether they have any temperaments in common. This is a placeholder section in case more of these are created.

Moved 28edo to new Machine Lumatone mappings section on Various Other Lumatone mappings; moved 30edo to Rank-3 Lumatone mappings page: Lucius Chiaraviglio (talk) 19:35, 23 July 2025 (UTC) Moved this section here: Lucius Chiaraviglio (talk) 08:36, 11 October 2025 (UTC)

Various Unnamed Temperament Lumatone mappings

Various Lumatone mappings that do not match the mapping for another size of EDO, and were not designed for a particular temperament.

Moved here from Various Other Lumatone mappings: Lucius Chiaraviglio (talk) 08:36, 11 October 2025 (UTC)

33edo (demonstrated to work)

Bryan Deister has demonstrated a mapping for 33edo that yields both 5L 3s (oneirotonic, 6:1 step ratio) and 3L 2s (antipentic, 7:6 step ratio) scales, in 33edo improv (2025). The underlying temperament is an unidentified temperament that uses the supersharp alternate (33b) fifth, although the patent fifth is about equally accessible. The range is a bit over 4⅔ octaves, with a fair number of repeated notes to mitigate vertical wraparounds and the octaves slope moderately downwards.

4
10
5
11
17
23
29
0
6
12
18
24
30
3
9
1
7
13
19
25
31
4
10
16
22
28
29
2
8
14
20
26
32
5
11
17
23
29
2
8
30
3
9
15
21
27
0
6
12
18
24
30
3
9
15
21
27
25
31
4
10
16
22
28
1
7
13
19
25
31
4
10
16
22
28
1
7
26
32
5
11
17
23
29
2
8
14
20
26
32
5
11
17
23
29
2
8
14
20
26
21
27
0
6
12
18
24
30
3
9
15
21
27
0
6
12
18
24
30
3
9
15
21
27
0
6
28
1
7
13
19
25
31
4
10
16
22
28
1
7
13
19
25
31
4
10
16
22
28
1
7
13
19
25
8
14
20
26
32
5
11
17
23
29
2
8
14
20
26
32
5
11
17
23
29
2
8
14
20
26
27
0
6
12
18
24
30
3
9
15
21
27
0
6
12
18
24
30
3
9
15
21
27
7
13
19
25
31
4
10
16
22
28
1
7
13
19
25
31
4
10
16
22
26
32
5
11
17
23
29
2
8
14
20
26
32
5
11
17
23
6
12
18
24
30
3
9
15
21
27
0
6
12
18
25
31
4
10
16
22
28
1
7
13
19
5
11
17
23
29
2
8
14
24
30
3
9
15
4
10

Added: Lucius Chiaraviglio (talk) 20:01, 27 October 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 12:51, 28 October 2025 (UTC)

46edo (demonstrated to work and found Bison temperament)

Added: Lucius Chiaraviglio (talk) 09:11, 20 October 2025 (UTC)
Moved to Bison (Porwell + Sensi) Lumatone mappings: Lucius Chiaraviglio (talk) 07:15, 23 October 2025 (UTC)

51edo (demonstrated to work)

Bryan Deister has used a flipped antidiatonic layout for 51edo in which the generator is a mid major second at 8\51, which maps in between ~10/9 and ~9/8 and is distinct from both, A possible constitution of this interval in 51edo is the septendecimal major second ~512/459 (~|9 -3 0 0 0 0 -1⟩), which maps correctly to 8\51 and is very close by direct approximation. Two of these generators make a slightly flat ~5/4 Ptolmeic major third, and nine of these generators make a slightly sharp ~8/3 perfect eleventh. Octaves alternate between near and far, but the range is just one missing note #47 short of being 5 full octaves, which compares favorably with the standard Antidiatonic (Mavila/Undecimation) and Porky mappings, and is competitive with the Slendric mapping. (Another possibility would be to move the first note 0 up and left, which would instead put the missing note in the first octave.) The most straightforward scale within an octave is 2L 5s with a step ratio of 8:7, but the octave zigzag could be used to support an 11L 2s (4/1-equivalent) scale, again with a step ratio of 8:7. Graham Breed's x31eq Temperament Finder gives no name for this temperament; it is 19 & 51 in the 2.3.5.17 subgroup, but if this layout was actually adapted to 19edo, L and s steps would exchange size classes to make this a flipped Diatonic layout. This layout is demonstrated in 51edo improv (2025), with some additional notes outside the 5 (almost) full octaves cut off in and near the upper left and lower right corners due to the use of only 2 MIDI channels.

32
40
39
47
4
12
20
38
46
3
11
19
27
35
43
45
2
10
18
26
34
42
50
7
15
23
44
1
9
17
25
33
41
49
6
14
22
30
38
46
0
8
16
24
32
40
48
5
13
21
29
37
45
2
10
18
26
50
7
15
23
31
39
47
4
12
20
28
36
44
1
9
17
25
33
41
49
6
14
22
30
38
46
3
11
19
27
35
43
0
8
16
24
32
40
48
5
13
21
29
5
13
21
29
37
45
2
10
18
26
34
42
50
7
15
23
31
39
47
4
12
20
28
36
44
1
20
28
36
44
1
9
17
25
33
41
49
6
14
22
30
38
46
3
11
19
27
35
43
0
8
16
24
32
43
0
8
16
24
32
40
48
5
13
21
29
37
45
2
10
18
26
34
42
50
7
15
23
31
39
23
31
39
47
4
12
20
28
36
44
1
9
17
25
33
41
49
6
14
22
30
38
46
46
3
11
19
27
35
43
0
8
16
24
32
40
48
5
13
21
29
37
45
26
34
42
50
7
15
23
31
39
47
4
12
20
28
36
44
1
49
6
14
22
30
38
46
3
11
19
27
35
43
0
29
37
45
2
10
18
26
34
42
50
7
1
9
17
25
33
41
49
6
32
40
48
5
13
4
12

Added: Lucius Chiaraviglio (talk) 07:21, 5 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:23, 6 May 2025 (UTC)

52edo (demonstrated to work)

Bryan Deister has used a layout for 52edo in which the generator is 9\52, as ~9/8 but mapped by direct approximation rather than as the version mapped by the patent val or by the 52b val, which means that it has to be constituted as (3♭ × 3♯) / 8 to make use of the dual-fifth feature of 52edo. Two of these map to a ~14/11 major third, as in Pentacircle but for the direct approximation mapping of ~9/8. The upward generator is ~16/15. Octaves slant down and then wrap around, but the compass is 5 full octaves, with no missed notes, which is competitive with the Diatonic and Neutral Thirds layouts. This layout is demonstrated in microtonal improvisation in 52edo (2025); in the video, some notes are cut off at the right edge due to the use of only 2 MIDI channels.

4
13
8
17
26
35
44
3
12
21
30
39
48
5
14
7
16
25
34
43
0
9
18
27
36
45
2
11
20
29
38
47
4
13
22
31
40
49
6
15
6
15
24
33
42
51
8
17
26
35
44
1
10
19
28
37
46
1
10
19
28
37
46
3
12
21
30
39
48
5
14
23
32
41
50
7
16
5
14
23
32
41
50
7
16
25
34
43
0
9
18
27
36
45
2
11
20
29
38
47
0
9
18
27
36
45
2
11
20
29
38
47
4
13
22
31
40
49
6
15
24
33
42
51
8
17
13
22
31
40
49
6
15
24
33
42
51
8
17
26
35
44
1
10
19
28
37
46
3
12
21
30
39
48
35
44
1
10
19
28
37
46
3
12
21
30
39
48
5
14
23
32
41
50
7
16
25
34
43
0
14
23
32
41
50
7
16
25
34
43
0
9
18
27
36
45
2
11
20
29
38
47
4
36
45
2
11
20
29
38
47
4
13
22
31
40
49
6
15
24
33
42
51
15
24
33
42
51
8
17
26
35
44
1
10
19
28
37
46
3
37
46
3
12
21
30
39
48
5
14
23
32
41
50
16
25
34
43
0
9
18
27
36
45
2
38
47
4
13
22
31
40
49
17
26
35
44
1
39
48

Added: Lucius Chiaraviglio (talk) 09:22, 5 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:03, 6 May 2025 (UTC)

57edo (demonstrated to work)

Bryan Deister has used a layout for 57edo in which the right generator is 9\57 (10/9 ~ 9/8, as in Meantone, but this would be contorted without an additional generator); and the upward generator is 8\57, which maps to a just slightly flat ~11/10 (and not to ~12/11 or ~10/9 in the patent val, thus differing from Porcupine despite producing a rotated but otherwise similar 1L 6s scale). Octaves are nearly level, just barely sloping downwards; the compass is somewhat under 4 octaves. This layout is demonstrated in 57edo improv (2025); in the video, some notes are cut off in the lower and middle left edge and the upper right corner due to the use of only 2 MIDI channels; on the plus side, this shows where to put note 0 on the left side to avoid losing notes in the bottom octave due to running off the edge of the keyboard. Note that down and right proceeds by 1\57, thus making for an easy glissando (also demonstrated in the video).

5
14
6
15
24
33
42
55
7
16
25
34
43
52
4
56
8
17
26
35
44
53
5
14
23
32
48
0
9
18
27
36
45
54
6
15
24
33
42
51
49
1
10
19
28
37
46
55
7
16
25
34
43
52
4
13
22
41
50
2
11
20
29
38
47
56
8
17
26
35
44
53
5
14
23
32
41
42
51
3
12
21
30
39
48
0
9
18
27
36
45
54
6
15
24
33
42
51
3
12
34
43
52
4
13
22
31
40
49
1
10
19
28
37
46
55
7
16
25
34
43
52
4
13
22
31
44
53
5
14
23
32
41
50
2
11
20
29
38
47
56
8
17
26
35
44
53
5
14
23
32
41
50
2
6
15
24
33
42
51
3
12
21
30
39
48
0
9
18
27
36
45
54
6
15
24
33
42
51
3
34
43
52
4
13
22
31
40
49
1
10
19
28
37
46
55
7
16
25
34
43
52
4
53
5
14
23
32
41
50
2
11
20
29
38
47
56
8
17
26
35
44
53
24
33
42
51
3
12
21
30
39
48
0
9
18
27
36
45
54
43
52
4
13
22
31
40
49
1
10
19
28
37
46
14
23
32
41
50
2
11
20
29
38
47
33
42
51
3
12
21
30
39
4
13
22
31
40
23
32

Added: Lucius Chiaraviglio (talk) 06:35, 12 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 19:07, 12 May 2025 (UTC)

60edo (demonstrated to work but awaiting approval)

Bryan Deister has demonstrated a 4L 2s (11:8 step ratio) mapping for 60edo, in 60edo improv (2025-11-22). (Rest of description goes here.)

27
35
38
46
54
2
10
41
49
57
5
13
21
29
37
52
0
8
16
24
32
40
48
56
4
12
55
3
11
19
27
35
43
51
59
7
15
23
31
39
6
14
22
30
38
46
54
2
10
18
26
34
42
50
58
6
14
9
17
25
33
41
49
57
5
13
21
29
37
45
53
1
9
17
25
33
41
20
28
36
44
52
0
8
16
24
32
40
48
56
4
12
20
28
36
44
52
0
8
16
23
31
39
47
55
3
11
19
27
35
43
51
59
7
15
23
31
39
47
55
3
11
19
27
35
43
42
50
58
6
14
22
30
38
46
54
2
10
18
26
34
42
50
58
6
14
22
30
38
46
54
2
10
18
9
17
25
33
41
49
57
5
13
21
29
37
45
53
1
9
17
25
33
41
49
57
5
13
21
29
44
52
0
8
16
24
32
40
48
56
4
12
20
28
36
44
52
0
8
16
24
32
40
11
19
27
35
43
51
59
7
15
23
31
39
47
55
3
11
19
27
35
43
46
54
2
10
18
26
34
42
50
58
6
14
22
30
38
46
54
13
21
29
37
45
53
1
9
17
25
33
41
49
57
48
56
4
12
20
28
36
44
52
0
8
15
23
31
39
47
55
3
11
50
58
6
14
22
17
25

Added: Lucius Chiaraviglio (talk) 00:13, 23 November 2025 (UTC)

62edo (demonstrated to work)

Accidental duplicate of official semi-Mohajira mapping, removed: Lucius Chiaraviglio (talk) 08:36, 11 October 2025 (UTC)

67edo (demonstrated to work)

Moved to Various other Lumatone mappings: Lucius Chiaraviglio (talk) 07:51, 6 November 2025 (UTC)

91edo pseudo-isomorphic (demonstrated to work)

Moved to Non-Isomorphic Lumatone mappings: Lucius Chiaraviglio (talk) 07:29, 20 September 2025 (UTC)

92edo (demonstrated to work)

Bryan Deister has demonstrated an 8L 5s (step ratio 9:4) mapping for 92edo in microtonal improvisation in 92edo (2025). As 9\92, the rightward generator maps to a slightly flat ~31/29, and five of these make the slightly sharp patent fifth ~3/2. The upward generator 5\92 yields ~14/13 by stacking two of these. The down-right generator 4\92 functions as ~33/32, ~34/33, and ~35/34; stacking two of these (8\92) yields ~17/16; stacking six of these (24\92) yields ~6/5; stacking eight of these (32\92) yields ~14/11. The first note 0 can be placed in the lower left corner (as actually used in the demonstration video) to avoid having a little piece of an octave before it, but this results in a vertical wraparound of the octaves, which slant down moderately (over the range of slightly over 2¼ octaves).

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

Added: Lucius Chiaraviglio (talk) 01:51, 2 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 15:28, 4 June 2025 (UTC)

95edo (demonstrated to work)

Quasi-Diatonic

A quasi-diatonic layout is also possible, which functions similarly to a diatonic mapping, but with the octaves shifting pitch class up by 2\95 with each higher octave. Thus, despite the missed notes, all notes are accessible in some octaves. Bryan Deister has demonstrated this in Impostor Syndrome - Sidney Gish (microtonal cover in 95edo) (2025) with the MIDI mapping set to octave 1 | octave 2 | octave 2 | octave 3 | octave 3 | octave 4, to get the greater portion of the notes within each octave other than the bass (which is missing note 0 among other notes), at the cost of less range.

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

Added: Lucius Chiaraviglio (talk) 21:52, 20 November 2025 (UTC) Last modified: Lucius Chiaraviglio (talk) 09:18, 22 November 2025 (UTC)

97edo (demonstrated to work)

Bryan Deister has used a layout for 97edo that provides both 16L 1s and 15L 7s scales (in both cases with 6:1 step ratio), as demonstrated in microtonal improvisation in 97edo (2025). Although 97edo is at the intersection of Immunity and Orson, this layout does not closely match either temperament, instead using a rightward generator 6\97 which is very close to 24/23, and an upward generator 5\97 which is very close to 29/28. The range is less than 2 octaves, and the octaves slant upwards if following the 16L 1s scale but are nearly level if following the 15L 7s scale; all notes are represented at least once (although getting this within a full 0 to 0 octave requires shifting the 0 point 1 key right from Bryan Deister's usual placement in the lower left corner, to avoid cutting off some notes on the left end).

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

Added: Lucius Chiaraviglio (talk) 09:09, 16 April 2025 (UTC)
Restored: Lucius Chiaraviglio (talk) 13:24, 28 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:04, 12 November 2025 (UTC)

Quasi-diatonic (demonstrated to work)

A quasi-diatonic layout is also possible, which functions similarly to a diatonic mapping, but with the octaves shifting pitch class up by 1\97 with each higher octave. Thus, despite the missed notes, all notes are accessible in some octaves. Bryan Deister has demonstrated this in Charlie's Inferno - That Handsome Devil (microtonal cover in 97edo) (2025), with the MIDI mapping set to octave 1 | octave 2 | octave 2 | octave 3 | octave 3 to get all of the notes within each octave other than the bass, at the cost of less range. (In the demonstration video, note 0 is also shifted to appear where note 2 appears here.)

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

Added: Lucius Chiaraviglio (talk) 07:05, 12 November 2025 (UTC)

240edo (demonstrated to work)

Approaching the limits of the number of keys to a Lumatone and the pitch resolution of most people, is 240edo. Bryan Deister has demonstrated a mapping for this in microtonal improvisation in 240edo (2025). Following in the footsteps of Julián Carrillo, whose highest EDO (96edo) piano had just one octave, this layout achieves 1.14 octaves with no missing notes and just four repeated notes in the first octave and one more repeated note in the fractional octave at the end. In the demonstration video, the purple/pink notes are octave-reduced harmonics, except for 73/64 accidentally being left green.

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
96
2
11
20
29
38
47
56
65
74
83
92
101
110
119
7
16
25
34
43
52
61
70
79
88
97
106
115
124
133
142
151
3
12
21
30
39
48
57
66
75
84
93
102
111
120
129
138
147
156
165
174
8
17
26
35
44
53
62
71
80
89
98
107
116
125
134
143
152
161
170
179
188
197
206
4
13
22
31
40
49
58
67
76
85
94
103
112
121
130
139
148
157
166
175
184
193
202
211
220
229
18
27
36
45
54
63
72
81
90
99
108
117
126
135
144
153
162
171
180
189
198
207
216
225
234
3
12
21
41
50
59
68
77
86
95
104
113
122
131
140
149
158
167
176
185
194
203
212
221
230
239
8
17
26
73
82
91
100
109
118
127
136
145
154
163
172
181
190
199
208
217
226
235
4
13
22
31
96
105
114
123
132
141
150
159
168
177
186
195
204
213
222
231
0
9
18
27
128
137
146
155
164
173
182
191
200
209
218
227
236
5
14
23
32
151
160
169
178
187
196
205
214
223
232
1
10
19
28
183
192
201
210
219
228
237
6
15
24
33
206
215
224
233
2
11
20
29
238
7
16
25
34
21
30

Added: Lucius Chiaraviglio (talk) 08:25, 15 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 09:19, 22 November 2025 (UTC)

336edo (demonstrated to work)

By a large margin, the entire gamut of 336edo will not fit on a Lumatone. Nevertheless, a Lumatone can be used to play a musically useful subset of it. One of these subsets is 7ed(575 ¢), of which each increment corresponds to 23 increments of 336edo. For practical purposes, this is a non-octave tuning, although technically it repeats at the octave at 23 octaves, which would require a hypothetical XXXXL-sized Lumatone to implement and some kind of Shepard tone pattern to be all audible within the range of human hearing. Bryan Deister has demonstrated a mapping of this in 7ed(575 cents) improv (2025). In this, 7ed(575 ¢) is doubled to 14ed(1150 ¢), and then a compressed (non-octave) 4L 1s (3:2 step ratio) scale laid out on it if proceeding right and down, or a compressed 4L 2s (3:1 step ratio) scale if proceeding right and up. The range is over 6¼ instances of 1150 ¢, which slope gently upwards.

0
69
46
115
184
253
322
23
92
161
230
299
32
101
170
69
138
207
276
9
78
147
216
285
18
87
46
115
184
253
322
55
124
193
262
331
64
133
202
271
92
161
230
299
32
101
170
239
308
41
110
179
248
317
50
119
188
69
138
207
276
9
78
147
216
285
18
87
156
225
294
27
96
165
234
303
36
115
184
253
322
55
124
193
262
331
64
133
202
271
4
73
142
211
280
13
82
151
220
289
92
161
230
299
32
101
170
239
308
41
110
179
248
317
50
119
188
257
326
59
128
197
266
335
68
137
207
276
9
78
147
216
285
18
87
156
225
294
27
96
165
234
303
36
105
174
243
312
45
114
183
252
321
54
55
124
193
262
331
64
133
202
271
4
73
142
211
280
13
82
151
220
289
22
91
160
229
298
31
100
308
41
110
179
248
317
50
119
188
257
326
59
128
197
266
335
68
137
206
275
8
77
146
156
225
294
27
96
165
234
303
36
105
174
243
312
45
114
183
252
321
54
123
73
142
211
280
13
82
151
220
289
22
91
160
229
298
31
100
169
257
326
59
128
197
266
335
68
137
206
275
8
77
146
174
243
312
45
114
183
252
321
54
123
192
22
91
160
229
298
31
100
169
275
8
77
146
215
123
192

Added: Lucius Chiaraviglio (talk) 02:48, 3 November 2025 (UTC)
Last Modified: Lucius Chiaraviglio (talk) 23:23, 3 November 2025 (UTC)

Retrieved from "https://en.xen.wiki/index.php?title=User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Unnamed_temperament_Lumatone_mappings&oldid=217542"