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

< User:Lucius Chiaraviglio | Keyboard Layout Lab
Revision as of 06:56, 30 May 2025 by Lucius Chiaraviglio (talk | contribs) (Got approval for 72edo and 94edo with instruction to move note 0, and additional temperament instructions for 72edo)

Due to the dreaded "template include too large" error, moved the Valentine Lumatone mappings here from the main Keyboard Layout Lab page.

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.

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.

 
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Added: Lucius Chiaraviglio (talk) 19:35, 26 March 2025 (UTC)
Last Modified: Lucius Chiaraviglio (talk) 21:39, 29 March 2025 (UTC)

30edo (demonstrated to work)

Bryan Deister has used a layout for 30edo that was also inspired by the layout for 29edo (rather than being made for any specific temperament), as demonstrated in minuet in 30edo (2025). The right-moving generator is a somewhat flat Pythagorean whole tone (~9/8, 5\30; and in the video, the row segments that include note 0 are colored solid red). The up-moving generator is a somewhat flat tridecimal supraminor second (~14/13, 3\30); neither would be able access the full gamut on its own, but together they cover the full gamut with a generous allotment of repeated notes (indicating that if this layout was to represent a particular temperament, that would have to be a rank-3 temperament if having an octave period, or a rank-2 temperament dividing the octave into multiple periods). The range is a bit under five octaves, with octaves slanting up (while wrapping around) at the same angle as the right-moving generator.

 
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20

Added: Lucius Chiaraviglio (talk) 07:59, 25 March 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 21:39, 29 March 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.

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.

 
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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.

 
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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).

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

Guiron + Harry + Marvel + Marvolo + Mothra + Slendric Lumatone mappings

72edo (demonstrated to work)

Bryan Deister has demonstrated a mapping of 72edo as nine rings of 8edo going right, offset so as to also produce the scale 11L 9s (4/1-equivalent), in microtonal improvisation in 72edo (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~6/5 as 19\72 and ~5/4 as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~8/7, the generator of Guiron, Mothra, and Slendric. Repeating this move twice more yields the highly accurate ~3/2 as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~12/7; from there, moving one key to the right yields the primary generator of Marvel temperament, ~15/8, as 65\72. The down-right generator 5\72 (20/19 ~ 21/20 ~ 22/21) matches Harry and Marvolo.

 
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Added: Lucius Chiaraviglio (talk) 13:24, 28 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:56, 30 May 2025 (UTC)

Diatonicized Chromaticism + Kleischismic + Cassandra (Garibaldi) Lumatone mappings

94edo (demonstrated to work)

Bryan Deister has demonstrated the 11L 2s mapping of 94edo in microtonal improvisation in 94edo (2025). In the application of this temperament to this mapping, the rightward step corresponds to a stack of two quite accurate ~16/11 generators (51\94, and the octave complement is ~11/8, at 43\94) after octave-reduction, making this a mapping closely related to the Diatonicized Chromaticism used extensively by Ivan Wyschnegradsky in his 24edo compositions. The rightward step can also be made by going down by the octave-complemented generator (39\94, ~11/8) and semioctave-reducing. This makes it a mapping for 11-limit (or higher) Kleischismic (substituting the normal generator ~35/24 with the simpler ~11/8, which 94edo represents more accurately), although this yields an extremely soft 10L 2s scale (step ratio 8:7, currently off the right edge of the scale tree) instead of 11L 2s. Similarly, if one uses the highly accurate ~4/3 (39\94, octave complement ~3/2 as 55\94) and stacks two of these, the result is a rightward double step, making this mapping also work for Garibaldi and its 11-limit (or higher) extension Cassandra (although with some vertical wraparound challenges as noted following). A diatonic scale, or better yet a Ptolemy's intense diatonic (Zarlino) scale appears possible to do using both hands, although the octave slope causes the wraparound point to change with octave. The range is a bit under three octaves, and the octaves slope up, which puts the third note 0 at the far edge (although it does repeat at the near edge). A possibility for addressing this (not shown here) is to set note 0 is set to a point on the left edge half way between its current location and the lower left corner (to get note 0 two octaves higher to be 3/4 of the way up); this results in a skipped note 1 in the lowest note 0 to note 0 octave, but if one is willing to assign one key to a non-isomorphic position, the note 92 in the lower left corner (from the octave below the lowest note 0) could be reassigned to the missing note 1.

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

Added: Lucius Chiaraviglio (talk) 21:39, 28 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:56, 30 May 2025 (UTC)

More Unidentified Temperament Lumatone mappings

97edo (demonstrated to work)

Bryan Deister has used the 16L 1s/15L 7s layout for 97edo, 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)
Last modified: Lucius Chiaraviglio (talk) 20:51, 26 May 2025 (UTC)
Restored: Lucius Chiaraviglio (talk) 13:24, 28 May 2025 (UTC)

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