User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings

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Revision as of 06:03, 12 October 2025 by Lucius Chiaraviglio (talk | contribs) (→Compressed Neutral Thirds Lumatone mappings: Insert Familia Lumatone mappings after this, starting with Bryan Deister's mapping for 39edo)
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Due to the dreaded "template include too large" error, moved some Lumatone mappings here from the main Keyboard Layout Lab page.

Moved Lumatone mappings

Unnamed rank-3 temperament Lumatone mappings for 91edo and 93edo moved to Keyboard Layout Lab/Various rank-3 temperament Lumatone mappings.

Moved: Lucius Chiaraviglio (talk) 06:20, 21 June 2025 (UTC)

Amity Lumatone mappings

99edo (proposed and untested)

Since 99edo falls on the Amity temperament line, it is tempting to use the generator 7\99 functioning as a near-just ~21/20 as in the Amicable extension, but with the octave split into three equal parts, giving a 12L 3s scale with 7:5 step ratio. The range is a bit over two octaves, slanting up mildly, with no missed notes and a few repeated notes to assist with vertical wraparounds. Relative to the mappings for Würschmidt and its extensions, the Amicable mapping has the advantage that the layout is less lopsided, but the disadvantage that stacking generators does not hit good ratios at low numbers of generators.

93
1
98
6
13
20
27
96
4
11
18
25
32
39
46
2
9
16
23
30
37
44
51
58
65
72
0
7
14
21
28
35
42
49
56
63
70
77
84
91
5
12
19
26
33
40
47
54
61
68
75
82
89
96
4
11
18
3
10
17
24
31
38
45
52
59
66
73
80
87
94
2
9
16
23
30
37
8
15
22
29
36
43
50
57
64
71
78
85
92
0
7
14
21
28
35
42
49
56
63
6
13
20
27
34
41
48
55
62
69
76
83
90
97
5
12
19
26
33
40
47
54
61
68
75
82
18
25
32
39
46
53
60
67
74
81
88
95
3
10
17
24
31
38
45
52
59
66
73
80
87
94
2
9
37
44
51
58
65
72
79
86
93
1
8
15
22
29
36
43
50
57
64
71
78
85
92
0
7
14
63
70
77
84
91
98
6
13
20
27
34
41
48
55
62
69
76
83
90
97
5
12
19
82
89
96
4
11
18
25
32
39
46
53
60
67
74
81
88
95
3
10
17
9
16
23
30
37
44
51
58
65
72
79
86
93
1
8
15
22
28
35
42
49
56
63
70
77
84
91
98
6
13
20
54
61
68
75
82
89
96
4
11
18
25
73
80
87
94
2
9
16
23
0
7
14
21
28
19
26

Added: Lucius Chiaraviglio (talk) 08:44, 23 July 2025 (UTC)

Compressed Neutral Thirds Lumatone mappings

24edo (demonstrated to work)

Bryan Deister has used the 3L 1s layout for 24edo, as demonstrated in In Your Hands (microtonal 24edo) (alt layout) (2024). The octaves rise just slightly while moving to higher pitches, and the range is somewhat over eight octaves. Although rotated left from the usual orientation, the notes of a standard diatonic scale (within each ring of fifths) are within easy reach of each other.

2
9
5
12
19
2
9
1
8
15
22
5
12
19
2
4
11
18
1
8
15
22
5
12
19
2
0
7
14
21
4
11
18
1
8
15
22
5
12
19
3
10
17
0
7
14
21
4
11
18
1
8
15
22
5
12
19
23
6
13
20
3
10
17
0
7
14
21
4
11
18
1
8
15
22
5
12
2
9
16
23
6
13
20
3
10
17
0
7
14
21
4
11
18
1
8
15
22
5
12
22
5
12
19
2
9
16
23
6
13
20
3
10
17
0
7
14
21
4
11
18
1
8
15
22
5
8
15
22
5
12
19
2
9
16
23
6
13
20
3
10
17
0
7
14
21
4
11
18
1
8
15
22
5
1
8
15
22
5
12
19
2
9
16
23
6
13
20
3
10
17
0
7
14
21
4
11
18
1
8
1
8
15
22
5
12
19
2
9
16
23
6
13
20
3
10
17
0
7
14
21
4
11
18
1
8
15
22
5
12
19
2
9
16
23
6
13
20
3
10
17
0
7
18
1
8
15
22
5
12
19
2
9
16
23
6
13
20
3
10
11
18
1
8
15
22
5
12
19
2
9
16
23
6
11
18
1
8
15
22
5
12
19
2
9
4
11
18
1
8
15
22
5
4
11
18
1
8
21
4

Added to official Lumatone mapping for 24edo page; Lucius Chiaraviglio (talk) 06:33, 17 November 2024 (UTC)
Copied here from Lumatone mapping for 24edo page: Lucius Chiaraviglio (talk) 07:44, 9 July 2025 (UTC)

Familia Lumatone mappings

39edo (demonstrated to work)

Related to Amity is Familia. Bryan Deister has demonstrated a 3L 4s (10:3 step ratio) layout for this, in 39edo improv (2025). Right by 1 key (10\39) is a somewhat flat classic minor third ~6/5, while down-right by 1 key (3\39) functions both as an inconsistently mapped sharp diptolmeic chromatic semitone (~25/24) and an inconsistently mapped flat ptolemaic diatonic semitone (~16/15), which means that right 1 key + down-right 1 key (total 13\39) yields a sharp (400 ¢) classic major third ~5/4). The range is six octaves, although the octaves slope down enough to cause a vertical wraparound.

0
10
3
13
23
33
4
35
6
16
26
36
7
17
27
38
9
19
29
0
10
20
30
1
11
21
31
2
12
22
32
3
13
23
33
4
14
24
34
5
34
5
15
25
35
6
16
26
36
7
17
27
37
8
18
28
38
27
37
8
18
28
38
9
19
29
0
10
20
30
1
11
21
31
2
12
22
30
1
11
21
31
2
12
22
32
3
13
23
33
4
14
24
34
5
15
25
35
6
16
23
33
4
14
24
34
5
15
25
35
6
16
26
36
7
17
27
37
8
18
28
38
9
19
29
0
36
7
17
27
37
8
18
28
38
9
19
29
0
10
20
30
1
11
21
31
2
12
22
32
3
13
23
33
20
30
1
11
21
31
2
12
22
32
3
13
23
33
4
14
24
34
5
15
25
35
6
16
26
36
14
24
34
5
15
25
35
6
16
26
36
7
17
27
37
8
18
28
38
9
19
29
0
37
8
18
28
38
9
19
29
0
10
20
30
1
11
21
31
2
12
22
32
31
2
12
22
32
3
13
23
33
4
14
24
34
5
15
25
35
15
25
35
6
16
26
36
7
17
27
37
8
18
28
9
19
29
0
10
20
30
1
11
21
31
32
3
13
23
33
4
14
24
26
36
7
17
27
10
20

Added: Lucius Chiaraviglio (talk) 06:03, 12 October 2025 (UTC)

Gariberttet + Magic Lumatone mappings

25edo (demonstrated to work)

Bryan Deister has demonstrated a mapping of 25edo that functions for both Gariberttet compressed to 1L 3s (7:6 step ratio) and Magic 3L 4s (7:1 step ratio), both having rotated scales, in Waltz in 25edo (short clip) (2024), with both the Blackwood fifth ~50/33 and the Mavila sub-fifth ~25/17 in easy reach. The range is over nine octaves, although with a severe downwards slant.

0
7
6
13
20
2
9
5
12
19
1
8
15
22
4
11
18
0
7
14
21
3
10
17
24
6
10
17
24
6
13
20
2
9
16
23
5
12
19
1
16
23
5
12
19
1
8
15
22
4
11
18
0
7
14
21
3
15
22
4
11
18
0
7
14
21
3
10
17
24
6
13
20
2
9
16
23
21
3
10
17
24
6
13
20
2
9
16
23
5
12
19
1
8
15
22
4
11
18
0
20
2
9
16
23
5
12
19
1
8
15
22
4
11
18
0
7
14
21
3
10
17
24
6
13
20
8
15
22
4
11
18
0
7
14
21
3
10
17
24
6
13
20
2
9
16
23
5
12
19
1
8
15
22
3
10
17
24
6
13
20
2
9
16
23
5
12
19
1
8
15
22
4
11
18
0
7
14
21
3
5
12
19
1
8
15
22
4
11
18
0
7
14
21
3
10
17
24
6
13
20
2
9
0
7
14
21
3
10
17
24
6
13
20
2
9
16
23
5
12
19
1
8
2
9
16
23
5
12
19
1
8
15
22
4
11
18
0
7
14
22
4
11
18
0
7
14
21
3
10
17
24
6
13
24
6
13
20
2
9
16
23
5
12
19
19
1
8
15
22
4
11
18
21
3
10
17
24
16
23

Added: Lucius Chiaraviglio (talk) 09:36, 27 August 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:12, 29 August 2025 (UTC)

Machine Lumatone mappings

28edo (demonstrated to work)

Bryan Deister has used a layout for 28edo that was inspired by the layout for 29edo (rather than being made for any specific temperament), as demonstrated in minuet in 28edo (2025). The right-moving generator is a somewhat sharp Pythagorean whole tone (~9/8, or near-just 17/15, 5\28). The up-moving generator is an almost-just tridecimal supraminor second (~14/13, 3\28). The range is a bit over five octaves, with octaves alternating near/far and middle with an overall small upwards slant. Although this layout was not designed for any particular temperament, it so happens that the right-moving generator matches Machine.

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

Added: Lucius Chiaraviglio (talk) 19:35, 26 March 2025 (UTC)
Last Modified: Lucius Chiaraviglio (talk) 21:39, 29 March 2025 (UTC) Moved here from Various Kit-Bashed Lumatone mappings: Lucius Chiaraviglio (talk) 19:35, 23 July 2025 (UTC)

Lesser Tendoneutralic Lumatone mappings

67edo (demonstrated to work)

Bryan Deister has demonstrated a 7L 3s (7:6 step ratio) layout for 67edo that uses the tempering out of the Lesser tendoneutralisma (70368744177664/69894255367443, more conveniently described as |46 -1 0 0 0 -12⟩), in microtonal improvisation in 67edo (2025). The underlying generator of the temperament is two steps right and one step down-right on the keyboard, which is 20\67, which is a near-just ~16/13 (octave-reduced 13th subharmonic). Twelve of these are tempered together to make ~12/1, which is then octave-reduced to the twelfth ~3/1, and thence to the fifth ~3/2. The range is a bit under 3⅓ octaves, and the octaves are almost level, having a barely perceptible downward slant. Although very efficient, this mapping takes a very xenharmonic approach 67edo — the notes of a complete meantone diatonic scale are not situated for easy access (being widely spaced vertically and always requiring a vertical wraparound to play the complete diatonic scale).

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

Added: Lucius Chiaraviglio (talk) 06:56, 29 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:52, 30 July 2025 (UTC)

Neutral Thirds + Opossum + Hemisensi + Ptolemy Lumatone mappings

38edo (demonstrated to work)

Bryan Deister has demonstrated a 3L 4s (6:5 step ratio) layout for 38edo in Spirit of the Night - Secret of Mana (microtonal cover in 38edo) (2025). The range is a bit over five octaves, although at the cost of octaves sloping down severely enough to incur two vertical wraparounds. This mapping lends itself to Opossum, Hemisensi, and Ptolemy.

30
36
35
3
9
15
21
34
2
8
14
20
26
32
0
1
7
13
19
25
31
37
5
11
17
23
0
6
12
18
24
30
36
4
10
16
22
28
34
2
5
11
17
23
29
35
3
9
15
21
27
33
1
7
13
19
25
4
10
16
22
28
34
2
8
14
20
26
32
0
6
12
18
24
30
36
4
9
15
21
27
33
1
7
13
19
25
31
37
5
11
17
23
29
35
3
9
15
21
27
8
14
20
26
32
0
6
12
18
24
30
36
4
10
16
22
28
34
2
8
14
20
26
32
0
6
19
25
31
37
5
11
17
23
29
35
3
9
15
21
27
33
1
7
13
19
25
31
37
5
11
17
23
29
36
4
10
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22
28
34
2
8
14
20
26
32
0
6
12
18
24
30
36
4
10
16
22
28
34
21
27
33
1
7
13
19
25
31
37
5
11
17
23
29
35
3
9
15
21
27
33
1
0
6
12
18
24
30
36
4
10
16
22
28
34
2
8
14
20
26
32
0
23
29
35
3
9
15
21
27
33
1
7
13
19
25
31
37
5
2
8
14
20
26
32
0
6
12
18
24
30
36
4
25
31
37
5
11
17
23
29
35
3
9
4
10
16
22
28
34
2
8
27
33
1
7
13
6
12

Added: Lucius Chiaraviglio (talk) 20:17, 8 October 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 18:59, 9 October 2025 (UTC)

Pseudo-Meantone Lumatone mappings

63edo (demonstrated to work)

Bryan Deister has demonstrated a 6L 1s (10:3 step ratio) mapping for 63edo in microtonal improvisation in 63edo (2025). The generator 10\93 is the quasi-meantone ~19/17, which is composed of highly inaccurate harmonics whose errors nearly cancel out, rendering it just slightly flat; two of them make a somewhat flat classic major third ~5/4. (In contrast to actual meantone temperament, 63edo represents ~19/17, ~10/9, and ~9/8 as distinct intervals — the syntonic comma 81/80 is not tempered out, and instead the aureusma 1445/1444 equates two quasi-meantones to a classic major third.) Although 10\63 can reach all of the notes of 63edo without the need for a second generator, a second generator 7\63 (upward, as a tridecimal supraminor/neutral second that functions as both ~13/12 and ~14/13) is convenient for quick access to additional common intervals — for instance, three rightward generators plus one upward generator reach the just slightly sharp fifth ~3/2; while five rightward generators minus one upwards generator reach a mildly sharp minor sixth ~8/5. The range is somewhat over four octaves (which slant up mildly) with no missed notes and no repeated notes.

6
16
9
19
29
39
49
2
12
22
32
42
52
62
9
5
15
25
35
45
55
2
12
22
32
42
61
8
18
28
38
48
58
5
15
25
35
45
55
2
1
11
21
31
41
51
61
8
18
28
38
48
58
5
15
25
35
57
4
14
24
34
44
54
1
11
21
31
41
51
61
8
18
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8

Added: Lucius Chiaraviglio (talk) 19:52, 23 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 05:44, 27 July 2025 (UTC)

Semaphore/Semiquartal Lumatone mappings

24edo (demonstrated to work)

Bryan Deister has used the 4L 1s layout (with 5:4 step ratio) for 24edo, as demonstrated in 24edo jam (2025). As expected, the rightward generator 5\24 functions as ~15/13 and ~22/19 (being in between these, and representing both highly accurately), and as expected, is half of a fourth (~4/3, also represented highly accurately); four of them function as ~9/5 and ~16/9, and five of them with octave reduction produce the slightly flat al-Farabi quarter tone (~33/32) that 24edo is famous for. The range is just under six octaves, although only just over five are shown in the video due to use of just one MIDI channel (128 notes). Duplication of notes helps with ease of use, but is slightly short of the extent needed for splitting this layout into two manuals. The octaves slant upwards slightly.

18
23
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Added: Lucius Chiaraviglio (talk) 06:30, 17 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 20:35, 21 July 2025 (UTC)

Slendric Lumatone mappings

36edo (demonstrated to work)

Slendric mappings for 36edo use the very accurate (just slightly sharp) septimal whole tone ~8/7 as the generator, and three of these make the very accurate (just slightly flat) fifth ~3/2 (the gamelisma 1029/1024 being tempered out). This achieves a range a bit over six octaves with no missing notes and some repeated notes to mitigate vertical wraparounds. A 5L 1s (7:1 step ratio) version of the Slendric mapping uses a large chroma (thus making a very hard version of this scale), and achieves octaves that only slope up moderately while still having the notes of the standard diatonic scale still easily accessible, although rotated from their customary orientation. Offset strings of 6edo are now compact upwards key sequences, which may be useful for playing divided-octave temperaments, although more likely to pass through a vertical wrapround than in a reverse-chroma mapping. Bryan Deister has demonstrated this mapping in 36edo jam (2025)].

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Added: Lucius Chiaraviglio (talk) 19:46, 7 August 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 21:52, 10 August 2025 (UTC)

Superkleismic Lumatone mappings

41edo (demonstrated to work)

Bryan Deister has demonstrated a Superkleismic 4L 3s (8:3 step ratio) mapping for 41edo, in 41edo groove (2025). Bryan Deister explains that the coloring in this video highlights major triads, where going right and up yields a major third (~5/4, somewhat flat) and going right three times yields the fifth (~3/2, near-just). The range is somewhat over five octaves, which slope down moderately.

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11

Added: Lucius Chiaraviglio (talk) 20:32, 27 August 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:24, 29 August 2025 (UTC)

Würschmidt Lumatone mappings

65edo (demonstrated to work)

Bryan Deister has used the 9L 2s (7:1 step ratio) mapping for 65edo in microtonal improvisation in 65edo (2025). The rightward generator 7\65 is a slightly flat acute minor second ~27/25, and three of these make a near-just classic major third ~5/4; in turn eight classic major thirds (21\65) make a near-just 6th harmonic ~6/1, qualifying this for Würschmidt temperament, or an extension thereof that divides the Würschmidt generator into three equal parts, but using ~27/25 instead of the tridecimal supraminor second ~14/13, which technically maps to the same interval in 65edo, but is composed of a very flat 7th harmonic and a very sharp 13th harmonic and is thus subject to wart adjustment to another interval for consistency improvement. The range is somewhat under three octaves, and the octaves slant up mildly, with some repeated notes to ease vertical wraparounds.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 20:35, 21 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 21:29, 26 July 2025 (UTC)

99edo (2 mappings demonstrated to work)

The Würschmidt generator, which is the classic major third ~5/4 (near-just), is 32\99 in 99edo, so it is divisible by 2 or 4 but not by 3 (seen with 65edo. Division by 2 to get 16\99 yields Hemiwürschmidt/Würschmidt/Hemiwur with a slightly flat septimal) middle whole tone ~28/25 for the divided generator, with a scale 6L 1s (16:3 step ratio). This mapping only splits the Würschmidt in half to get greater range (over four octaves) than when splitting it in quarters, but at the cost of missing many notes in each octave. Despite the missing notes, Bryan Deister has demonstrated this mapping in 99edo waltz (2025).

Template:Lumatone EDO mapping

Division of the generator by 2 again (for 4 overall) yields a further extension that uses this mapping's rightward generator 8\99 as a slightly sharp ptolemaic chromatic semitone (major limma) ~135/128, with a scale 12L 3s (8:1 step ratio), implying that the octave is also divided into three equal parts. As befits Würschmidt, eight classic major thirds (32\65) make a near-just 6th harmonic ~6/1. The range is just over two octaves, and the octaves slant up mildly, now with no missing notes and some repeated notes to ease vertical wraparound. Compared to the Amity (Amicable) mapping with split period, this mapping is more lopsided with the hard scale step ratio, but on the other hand gets some consonant ratios with only a few generator steps. Bryan Deister has experimented with this mapping, but no demonstration video is available yet (as of 2025-07-24).

Template:Lumatone EDO mapping

First mapping added: Lucius Chiaraviglio (talk) 12:55, 6 July 2025 (UTC)
Second mapping added: Lucius Chiaraviglio (talk) 07:32, 22 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:57, 24 July 2025 (UTC)

Harry, Marvel, and Miracle Lumatone mappings

These have proliferated due to the Lumatone wizardry of Bryan Deister, and had to be moved to their own Marvel and Miracle Lumatone mappings page. Contents moved to separate page: Lucius Chiaraviglio (talk) 07:06, 31 May 2025 (UTC)

Diatonicized Chromaticism + Kleischismic + Cassandra (Garibaldi) Lumatone mappings

Contents moved to main Keyboard Layout Lab page now that reorganization has freed up enough space there. Contents moved to separate page: Lucius Chiaraviglio (talk) 07:17, 31 May 2025 (UTC)

Various Kit-Bashed and Unnamed Temperament Lumatone mappings

Moved to Unnamed Temperament Lumatone mappings: Lucius Chiaraviglio (talk) 08:37, 11 October 2025 (UTC)

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