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

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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 Described but Unnamed Temperament Lumatone mappings

Various Lumatone mappings that do not match the mapping for another size of EDO, and seem to have been designed for a temperament for which the name is currently not defined or not set, with the temperament described beyond identification of the generator.

51edo: 19 & 51 flipped antidiatonic (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 fairly flat ~5/4 Ptolemeic 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 (202505-02), 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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Added: Lucius Chiaraviglio (talk) 07:21, 5 May 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 04:35, 28 May 2026 (UTC)

Various Unnamed Temperament Lumatone mappings

Various Lumatone mappings that do not match the mapping for another size of EDO, and do not seem to have been designed for a particular temperament, for which temperament description beyond identification of the generator is not available.

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.

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

44edo (demonstrated to work, and found Bidia + Diminished + Charismic + Semitonismic temperament)

Added: Lucius Chiaraviglio (talk) 08:55, 4 January 2026 (UTC)
Found Bidia + Diminished + Charismic + Semitonismic temperament, and moved to Keyboard Layout Lab: Lucius Chiaraviglio (talk) 09:46, 11 January 2026 (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 demonstrated a mapping of 51edo for a 3L 5s scale rotated (checkertonic, with 7:6 step ratio), that also lends itself to a 7L 2s scale (flipped superdiatonic, with 7:1 step ratio) and a 12L 3s (4/1-equivalent) scale (7:6 step ratio, passing right through the octave zigzag), in 51edo improv (2025-02-03). The rightward generator is 7\51, which is a near-just large undecimal neutral second ~11/10, as in Porky, but this mapping is sufficiently different from the Porky layout as to warrant a different name. The range is a bit over 4¼ octaves, and the octaves alternate between near/far and mid.

 
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Added: Lucius Chiaraviglio (talk) 11:21, 1 January 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 09:27, 3 January 2026 (UTC)

52edo (demonstrated to work)

Found Diminished temperament, and moved to Various other Lumatone mappings: Lucius Chiaraviglio (talk) 12:05, 28 March 2026 (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)

60edo (demonstrated to work)

Found Biyatismic family rank-3 variant with Magic (Witchcraft) generator, and moved to Various rank-3 temperament Lumatone mappings: Lucius Chiaraviglio (talk) 09:01, 25 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)

81edo (demonstrated to work)

Bryan Deister has demonstrated a 5L 9s (9:4 step ratio) layout for 81edo, in 81edo improv (2025). Both the rightward generator (4\81) and the down-right generator (9\81) map to high-limit intervals: 4\81 maps to ~29/28, ~30/29, and ~31/30; while 9\81 maps to ~40/37. The down-right generator is contorted by itself; in principle, the first generator could be used by itself for an unnamed rank-2 temperament, but it is so small that the second generator is needed for convenience. Alternatively, one could make a rank-2 temperament using the combination of these generators, which is 13\81, which maps to the quasi-meantone ~19/17 and to both sizes of classic whole tone ~9/8 and ~10/9, as befits 81edo being a meantone tuning; the last step in arriving at meantone is to add an octave to this generator and split it in half to get 47\81, which is the closest approximation to the perfect fifth in 81edo. This produces a interleaved and rotated diatonic layout yielding a range close to 2½ octaves (with some repeated notes to mitigate vertical wraparounds) having a slight downward slant.

 
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Added: Lucius Chiaraviglio (talk) 23:01, 3 December 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 11:06, 6 December 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).

 
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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, whilethe last octave only has 3 notes represented), at the cost of less range.

 
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Added: Lucius Chiaraviglio (talk) 21:52, 20 November 2025 (UTC) Last modified: Lucius Chiaraviglio (talk) 19:28, 24 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).

 
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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.)

 
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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.

 
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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.

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

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