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

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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

32edo (demonstrated to work)

Bryan Deister has used a 6L 1s (with a 5:2 step ratio) Amity mapping for 32edo, in Lost Woods - Legend of Zelda (microtonal cover in 32edo) (2025). The Amity generator acute minor third 9\32 is too sharp to map as ~6/5 and instead is mapped as a flat neutral third ~11/9. Both the flat (best) and sharp (second-best) approximations of the classic major third ~5/4 are easily accessible (although the sharp approximation is a bit easier), as is the (sharp) fifth ~3/2 (which is, however, oddly more in line with the flat major third, whereas Amity temperament for 32edo specifies the sharp major third, in the 32c val). The range is just over 4½ octaves, with a mild upwards slope.

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Added: Lucius Chiaraviglio (talk) 08:05, 16 January 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 02:49, 17 January 2026 (UTC)

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.

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

Archipelago + Catalan Lumatone mappings

49edo (2 mappings demonstrated to work)

The most efficient mapping for 49edo, having a range of 5¼ octaves (which slope down moderately) with no missed notes and no repeated notes, is Bryan Deister's 4L 3s (10:3 step ratio) mapping that functions for both a rank-2 or rank-3 archipelago-related temperament and catalan temperament, demonstrated in 49edo improv (2026). The rank-2 archipelago-related temperament (which is not currently on the archipelago page) uses one key right (10\49) as a slightly sharp tridecimal semifourth ~15/13 (in the 49f val) for its generator; two of them make the fairly flat fourth ~4/3; four of them make the sharp septimal minor seventh ~7/4; six of them (after octave reduction) make a slightly sharp septimal minor third ~7/6; thirteen of them (after more octave reduction) make a near-just undecimal minor sixth ~11/7; and fourteen of them make a sharp classic minor seventh ~9/5. Although this is a respectable list of intervals, the unmodified rank-2 version of the temperament does not make a very good MOS scale — instead it makes for scales in which the small interval is only 1\49. Therefore, for facility in making scales, including the aforementioned 4L 3s, a second generator is needed (thus elevating this to a rank-3 temperament that tempers out 364/363, 540/539, and 847/845); that generator uses one key down-right (3\49) as the slightly sharp classic chromatic semitone ~25/24, which 49edo uses here more like a diatonic semitone (although the actual 49edo diatonic semitone is only 2\49). Catalan uses one key right plus one key down-right (13\49) as a slightly sharp classic minor third for its generator; two of them make a very flat Axirabian paraminor fifth ~16/11; four of them (after octave reduction) make a slightly sharp classic chromatic semitone ~25/24; five of them make a mildly sharp classic major third ~5/4; six of them make a sharp fifth ~3/2; seven of them make a sharp classic minor seventh ~9/5; eight of them (after more octave-reduction) make a mildly flat undecimal neutral second ~12/11; and ten of them make a near-just undecimal minor sixth ~11/7. Catalan does not need a second generator to produce usable MOS scales, including the aforementioned 4L 3s.

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13

Added: Lucius Chiaraviglio (talk) 08:34, 7 April 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:57, 10 April 2026 (UTC)

Reverse chroma version

It is possible to make a reverse chroma version of the above mapping. The range is considerably less, at a bit over 3⅓ octaves, with considerable regions of non-contiguous notes in the upper left and lower right corners, and the octaves slope down, incurring a vertical wraparound; on the other hand, a considerable number of repeated notes are available in each complete octave to mitigate vertical wraparounds. Bryan Deister has demonstrated this in 49edo prelude (2026), although with note 0 set to where note 38 is here.

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Added: Lucius Chiaraviglio (talk) 11:38, 18 April 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 03:12, 21 April 2026 (UTC)

Aureus 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\63 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.

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Added: Lucius Chiaraviglio (talk) 19:52, 23 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 09:39, 15 November 2025 (UTC)

87edo (demonstrated to work)

Bryan Deister has demonstrated a 11L 5s (7:2 step ratio) mapping for 87edo in Circuit Bent - Stomach Book (microtonal cover in 87edo) (2025). The generator 14\87, which is two keys right from the root note, is the quasi-meantone ~19/17, which is composed of highly inaccurate harmonics whose errors nearly cancel out, rendering it near-just; two of them make an essentially just classic major third ~5/4. (In contrast to actual meantone temperament, 87edo 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.) Since this interval is two keys right instead of just one (as needed to avoid missing notes), this version of the temperament can be viewed as a split generator version, in which each ~19/17 is split into two equal intervals that function as both a small septendecimal semitone ~18/17 and a large undevicesimal semitone ~19/18, both being close to just (and the photisma 324/323 is tempered out). Although no second generator is needed to reach all of the notes, for convenience, down-right by one key (2\87) can be used for convenience as a second generator that functions as ~49/48 (inconsistently mapped), ~55/54, ~64/63, ~65/64, and ~81/80, of which the septimal chroma ~64/63 is near-just, and four of these make a near-just classic diatonic semitone ~16/15 (the currently unnamed unnoticeable comma 5250987/5242880 is tempered out). The range is somewhat over two octaves (which slant very slightly downwards) with no missed notes and some repeated notes to mitigate vertical wraparounds.

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1
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Added: Lucius Chiaraviglio (talk) 09:39, 15 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 00:07, 4 May 2026 (UTC)

Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings

37edo (demonstrated to work)

Bryan Deister has demonstrated a 6L 1s (6:1 step ratio) mapping for 37edo in 37edo improv (2026). This mapping functions as an aureus pseudo-meantone mapping; this functions for temperaments mediantone, roulette, hemiwürschmidt, and hemiwur; it has a generator 6\37 that functions as both a slightly sharp quasi-meantone ~19/17 and a slightly flat septimal middle whole tone ~28/25. (In contrast to actual meantone temperament, 37edo represents ~19/17 (or 28/25), ~10/9, and ~9/8 as distinct intervals — the syntonic comma 81/80 is not tempered out, but inflated to 2\37, and instead the aureusma 1445/1444 equates two quasi-meantones to a classic major third.) The range is a bit under 4½ octaves, and the octaves slope upwards moderately.

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Added: Lucius Chiaraviglio (talk) 00:07, 4 May 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:29, 6 May 2026 (UTC)

Baldy Lumatone mappings

35edo (demonstrated to work)

Bryan Deister has used a baldy mapping for 35edo, with a 5L 1s scale (6:5 step ratio), in 35edo (2025). Baldy is like Garibaldi, but only uses every other generator increment — thus using the Pythagorean major second ~9/8, which is very accurate in 35edo, instead of the fifth~3/2, which is very inaccurate in 35edo (with both possible values being just outside diatonic range). The range is just under 5½ octaves, and the octaves slope upwards moderately.

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Added: Lucius Chiaraviglio (talk) 07:59, 12 January 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:36, 13 January 2026 (UTC)

Bleu + Hemif/Hemififths + Suhajira Lumatone mappings

17edo (demonstrated to work)

Bryan Deister has demonstrated a mapping for 17edo that supports both an 8L 1s scale, as in Bleu temperament and a 7L 3s scale as in Hemif/Hemififths and Suhajira temperaments, in both cases with a 2:1 step ratio, in 17edo improv (2025). The Bleu generator 2\17 (an augmented unison or neutral second) is very simple in key movements, being one step right from the root note; this functions as flat ~12/11, slightly sharp ~13/12, sharp ~14/13, and slightly flat ~25/23. The generator for the other temperaments is 5\17 (a diminished fourth or neutral third), which corresponds to two keys right plus one key up or (preferably) down-right. The range is just under 3½ octaves (although they are almost perfectly level), but on the other hand, if one is willing to trade out easy playing of Bleu (and rearrange the color pattern accordingly), this mapping enables division into three complete middle manuals plus nearly complete top and bottom manuals.

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Added: Lucius Chiaraviglio (talk) 07:14, 17 December 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:30, 21 December 2025 (UTC)

Cavalier Lumatone mappings

26edo (demonstrated to work but awaiting approval)

Bryan Deister has used a cavalier Lumatone mapping, in My Violet - 26edo [short 1] (2026). The octaves zig-ziag (alternating between near/far and mid with a slight overall upwards slope; following the zig-zag right + down-right produces a 4L 1s scale (6:5 step ratio), while following the zig-zag right + up produces a 4L 2s scale (6:1 step ratio); and passing through the zig-zag mostly right produces a 7L 2s (4/1-equivalent) scale (6:5 step ratio). In any case, the rightward generator 6\26 (in the 13\26 half-octave period of cavalier) is a sharp septimal minor third ~7/6. The range is 7⅓ octaves, but appears considerably less in the video due to mapping of just one MIDI channel..

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Added: Lucius Chiaraviglio (talk) 09:30, 14 January 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 09:38, 14 January 2026 (UTC)

Clyde + Sensei + Negri Lumatone mappings

19edo (demonstrated to work)

Bryan Deister has demonstrated a mapping for 19edo that supports both a 9L 1s scale, as in Negri temperament, and an 8L 3s scale, as in Clyde and Sensei temperaments, in both cases with a 2:1 step ratio, in 19edo improv (2025). The Negri generator 2\19 (a minor second) is very simple in key movements, being one step right from the root note; this functions as flat ~13/12, near-just ~14/13, moderately sharp ~15/14, and (key for Negri) sharp ~16/15 (the classical diatonic semitone). The generator for Clyde (a Hanson sub-temperament) is 5\19 (a near-just classic minor third ~6/5); reaching it requires movement two keys right from the root note plus one key up or (preferably) down-right. The generator for Sensei (a sub-temperament of Sensi is 7\19 (a supermajor third) that functions as moderately sharp ~9/7 (key for Sensi), flat ~13/10, very flat ~21/16, and very sharp ~32/25; reaching it requires movement three keys right from the root note plus one key up or (preferably) down-right. The range is just over three octaves (although they are almost perfectly level), but on the other hand, if one is willing to trade out easy playing of Negri, this mapping enables division into three complete middle manuals plus a nearly complete bottom manual plus a partial top manual (and other permutations could be enabled by moving the root note and/or the divisions between manuals).

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Added: Lucius Chiaraviglio (talk) 07:14, 17 December 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 09:29, 21 December 2025 (UTC)

Didacus + Catalan + Clyde Lumatone mappings

49edo (demonstrated to work)

Didacus uses a flat Pythagorean whole tone ~9/8 as its generator, which is the rightward generator in these mappings; it uses the direct approximation of the 9th harmonic instead of building it by stacking the 3rd harmonic. The 3L 5s (8:5 step ratio) Didacus mapping for 49edo has been demonstrated by Bryan Deister in weathergirl - FLAVOR FOLEY (microtonal cover in 49edo) (2025). This mapping lends itself to two additional rank-2 temperaments. One of these is Catalan, for which the right + down-right generator 13\49 is a near-just (slightly sharp) classic minor third ~6/5; this uses the 3rd harmonic, which is quite sharp, but has most of its error canceled by the sharp 5th harmonic. Another temperament is Clyde, for which the right = 2 down-right generator 18\49 is a mildly sharp septimal major third ~9/7; this also uses the (sharp) 3rd harmonic to make an even sharper patent 9th harmonic, which has most of its error canceled by the sharp 7th harmonic. The range is just over five octaves with no missed notes and a few repeated notes in each octave, but the octaves slope down severely, incurring a vertical wraparound.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 23:20, 9 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 04:26, 10 November 2025 (UTC)

Diminished + Father/Pater Lumatone mappings

8edo (demonstrated to work)

Since 8edo is a multiple of 4, it makes sense to divide the octave in 4, as in diminished temperament, as demonstrated in Bryan Deister's microtonal improvisation in 8edo (2024). This mapping additionally supports a 3L 2s scale, as in father/pater temperament. The range is just under 8½ octaves, which slope upwards with the rows; but even with the upwards slope, the layout has enough vertically repeated notes that it could be divided into up to four complete manuals, with some extra keys to use for percussion, etc.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 11:13, 17 January 2026 (UTC)

Diminished + Gorgo + Magic (Muggles/Sephiroth) + Semaja Lumatone mappings

16edo (demonstrated to work)

One of the temperaments 16edo lends itself to most obviously is Diminished, with a 4L 4s scale having a 3:1 step ratio, as demonstrated to accompany a vocal work by Bryan Deister, in Doubt by Bryan Deister (microtonal 16edo snippet) (2025). The same layout also supports a 1L 4s scale having a 4:3 step ratio for Gorgo and Semaja temperaments, and a 3L 1s scale having a 5:1 step ratio, for Magic (Muggles/Sephiroth) temperament. The range is eight octaves, and these slope up with the rightward key progression.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 07:56, 15 November 2025 (UTC)

Diminished + Pseudo-Mothra Lumatone mappings

52edo (demonstrated to work)

Bryan Deister has used a layout for 52edo in which the generator is 10\52, as the near-just septimal major second ~8/7 (and three of these yielding the fifth ~3/2), making this a gamelismic clan mapping similar to mothra, but much simpler in obtaining the classic major third ~5/4 at 4 generators instead of 12 (which would be the case in real mothra), and with the 4L 4s scale (10:3 step ratio) and the fact that 52edo tempers out the greater diesis 648/625, thereby using a quarter-octave period as in diminished temperament, without which the temperament would otherwise be contorted (the quarter-octave period is required to wrap the generator stack properly). Octaves slant downwards (incurring a vertical wraparound), and the compass is 5⅛ octaves, with no missed notes and no repeated notes. This layout is demonstrated in 52edo groove (2026); in the video, some notes are cut off at the left and right edges due to the use of only 2 MIDI channels.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 12:39, 28 March 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 22:44, 31 March 2026 (UTC)

Diminished + Pseudo-Pentacircle Lumatone mappings

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 Template:Nowrap 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. In addition, this mapping makes a 4L 4s scale with 9:4 step ratio easily accessible (barring a vertical wraparound), and 52edo tempers out the greater diesis 648/625, making this also a diminished mapping. 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.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 09:22, 5 May 2025 (UTC)
Moved here from Unnamed temperament Lumatone mappings: Lucius Chiaraviglio (talk) 12:02, 28 March 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 12:02, 28 March 2026 (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 (400Template:C) classic major third ~5/4). The range is six octaves, although the octaves slope down enough to cause a vertical wraparound.

Template:Lumatone EDO mapping

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.

Template:Lumatone EDO mapping

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

Hemikleismic + Semaja Lumatone mappings

53edo (demonstrated to work)

Bryan Deister has demonstrated a mapping for 53edo in Waltz in 53edo (2026) that functions for hemikleismic (7L 1s scale with a 7:4 step ratio right and right-up with the small step stretched) and semaja (rotated 5L 1s with a 10:3 step ratio down-right and down); a 5L 8s (4/1-equivalent) scale with a 10:7 step ratio is also available moving right and down-right. The range is a bit over 4⅓ octaves, with no missed notes and just one repeated note in each octave, but the upper left and lower right corners have many additional non-contiguous notes, and the octaves are not in consistent places; on the other hand, classic thirds both minor (two steps right) and major (one step right plus one step down-right) are in very easy reach as long as they do not pass through a vertical wraparound (it may be necessary to adjust note 0 position to avoid this for a particular performance, such as in the linked video which has note 0 where note 3 is here).

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 09:41, 27 February 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 12:12, 1 March 2026 (UTC)

Infraorwell Lumatone mappings

49edo (demonstrated to work)

The septimal minor third ~7/6 (11\49) of 49edo is near-just, which suggests its use as a generator, as in Orwell; however, it is too close to just for actual Orwell eemperament, and so a stack of it manages to miss all of the intervals characteristic of Orwell, other than a fairly flat classic minor sixth ~8/5 — hence infraorwell. It is possible to produce a forward chroma 4L 5s (gramitonic, 6:5 step ratio) infraorwell mapping for 49edo, as demonstrated in Bryan Deister's Deltarune – Man (cover) (2023) and (very differently) in microtonal improv in 49edo (2024). This mapping gets all notes in each octave and has a range of a bit over 4 octaves with repeated notes to mitigate vertical wraparounds; the octaves alternate between near/far and middle, with double octaves sloping slightly upwards.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 19:58, 8 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 03:40, 21 April 2026 (UTC)

67edo (2 mappings demonstrated to work)

Bryan Deister has tested forward and reverse chroma 4L 5s (gramitonic, 8:7 step ratio) mappings for 67edo. Both get all notes in each octave and have a range of a bit over 3½ octaves. Apart from straight right (forward chroma version) or straight down-right (reverse chroma version, the most accessible generator is 15\67, which is a near-just septimal minor third ~7/6. This would suggest Orwell, except that the septimal minor third of 67edo is too close to just for actual Orwell temperament, and so a stack of it manages to miss all of the intervals characteristic of Orwell, other than a fairly flat classic minor sixth ~8/5. Instead, this yields Infraorwell.

Forward chroma

The forward chroma version, demonstrated in 67edo prelude (2025), also lends itself somewhat to an 8L 3s scale (8:1 step ratio), although both types of scale are likely to go through a vertical wraparound, depending upon root note, with this dependence being different in the octaves as they alternate between mid, near, and far.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 07:49, 6 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:00, 6 November 2025 (UTC)

Reverse chroma

Bryan Deister has tested a 4L 5s (8:7 step ratio) mapping for 67edo that produces octaves (and the 4L 5s scale) closer to level (at the cost of having a reverse chroma and slightly less range), but currently no demo video is available.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 17:27, 4 November 2025 (UTC)
Moved here from Unnamed Temperament Lumatone mappings: Lucius Chiaraviglio (talk) 07:49, 6 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 19:58, 8 November 2025 (UTC)

Kumonga Lumatone mappings

27edo (demonstrated to work)

Bryan Deister has demonstrated a 5L 1s (5:2 step ratio) kumonga mapping for 27edo, in Flies Control My Pain - 27edo [short 2] (2026). The kumonga generator 5\27 is the septimal major second ~8/7, which is very simple to use in this mapping, being simply one key to the right. The range is a bit over 5⅓ octaves, and the octaves slope gently upwards.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 17:11, 16 January 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:13, 17 January 2026 (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 Template:Monzo), 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).

Template:Lumatone EDO mapping

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

Lithium Lumatone mappings

57edo (demonstrated to work)

Bryan Deister has demonstrated a 3L 3s (12:7 step ratio) Lithium mapping for 57edo, in Prelude in 57edo (Part 2) [short clip] (2025). Lithium divides the octave into 3 parts, each of which is 19\57, defined by inconsistently-mapped ~56/45, and corresponding to one key right + one key down-right. It uses the ⅓-octave-reduced fourth ~4/3 (24\57, reduced to 5\57) to get the downwards generator. This mapping exceeds the amount of range (over six octaves) supported an EDO of this size on a standard-sized Lumatone, and so it misses several notes in each octave (especially at the left and right edges), and the octaves slant down.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 10:05, 21 November 2025 (UTC)

Bryan Deister has demonstrated a rotated 3L 3s (12:7 step ratio) Lithium mapping for 57edo, in 57edo groove (2025), which is rotated left relative to the previous one. (Rest of description goes here.)

Template:Lumatone EDO mapping

Last modified: Lucius Chiaraviglio (talk) 16:57, 21 November 2025 (UTC)

Llywelynsmic clan + Semaphore + Gariberttet + Oceanfront/Ultrapyth Lumatone mappings

37edo (demonstrated to work)

A 2L 3s mapping for 37edo with an 8:7 step ratio opens easy access to several temperaments. The generator for the llywelynsmic clan is 7\37 (one key down-right), which functions as a slightly flat septimal whole tone ~8/7, as well as (a sharp and inconsistently mapped Pythagorean whole tone ~9/8 (assuming use of the patent val for 37edo). Temperaments in this clan include shoe, semaja, and laconic/gorgo. The generator for semaphore is 8\37 (one key right), which functions as a flat septimal minor third ~7/6, a very sharp tridecimal semifourth ~15/13, and a somewhat sharp undevicesimal semifourth ~22/19. The generator for gariberttet is 9\37 (one key right plus one key up); it functions as a near-just tridecimal minor third (~13/11). The generator for oceanfront and ultrapyth is 15\37 (one key right plus one key down-right); it functions as a very flat fourth ~4/3. The range is 7¾ octaves, but the octaves slope down enough to incur a vertical wraparound, and while the middle octaves have no missed notes and only a few repeated notes, the first and last octaves have several notes chopped off by the upper left and lower right corners, respectively. Bryan Deister has used this mapping in 37edo (2023), although with the range limited by MIDI channel mapping.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 11:10, 15 February 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:51, 16 February 2026 (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. Template:Lumatone EDO mapping

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)

49edo (demonstrated to work)

It is possible to get closer to level octaves for 49edo with a slight gain in practical efficiency (having three repeated notes in each octave, but no non-contiguous notes in the lower left and upper right corners compared to the the archipelago + catalan mapping) with a machine scale (5L 1s, with a 9:4 step ratio). Bryan Deister has demonstrated this in Bryan Deister's 49edo riff (2026). This mapping has a contiguous range of 5⅓ octaves; and the repeated notes may provide a bit of assistance with mitigation of vertical wraparounds. This mapping uses 9\49 (one key right) as its generator, which functions as a very flat septimal major second ~8/7, a very sharp (and inconsistently-mapped) Pythagorean major second ~9/8, and (much more accurately) a near-just undecimal acute whole tone ~25/22 (both the Archytas comma 64/63 and the valinorsma 176/175 are tempered out). Two of them make a somewhat sharp septimal major third ~9/7; four of them make a slightly sharp classic major sixth ~5/3; seven of them (after octave reduction) make a somewhat flat undecimal neutral third ~11/9; eight of them make a very sharp undecimal major fourth ~11/8; and nine of them make a near-just undecimal minor sixth ~11/7. Thus, this mapping favors mostly xenharmonic intervals.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 08:56, 10 April 2026 (UTC)

Neutral Thirds (Compressed) Lumatone mappings

24edo (demonstrated to work)

Bryan Deister has used the 3L 1s (7:3 step ratio) 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.

Template:Lumatone EDO mapping

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)
Last modified: Lucius Chiaraviglio (talk) 08:05, 3 March 2026 (UTC)

Neutral Thirds (Emphasizing Neutral Seconds) Lumatone mappings

24edo (demonstrated to work)

Another neutral thirds mapping uses a 6L 3s scale (3:2 step ratio) to make 24edo neutral seconds (3\24) more easily accessible, as demonstrated by Bryan Deister in 24edo groove (2026). The range is only four octaves, but the octaves are close enough to level that the layout could be split into two manuals with some keys to spare, although the slight downwards octave slope would make them noticeably lopsided.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 08:33, 3 March 2026 (UTC)
Last Modified: Lucius Chiaraviglio (talk) 08:44, 4 March 2026 (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.

Template:Lumatone EDO mapping

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

Template:Lumatone EDO mapping

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

Sensei Lumatone mappings

84edo (demonstrated to work)

It is possible to map 84edo using a supermajor third as a generator, as in sensei temperament. The generator 31\84 is two keys right plus one key down-right, and it functions as a flat ~162/125 in the 5-limit, as a near-just ~84/65 in the 13-limit, as a somewhat flat septendecimal ultramajor third ~22/17 in the 17-limit (requires use of the 84e val to map correctly), and as a slightly sharp ~49/38 in the 19-limit. Two of these generators make a near-just classic major sixth ~5/3; five of them make a somewhat flat classic minor seventh ~9/5; seven of them make a near-just (slightly flat) fifth ~3/2; and nine of them make a near-just classic major third ~5/4. Unfortunately, the 3L 5s scale (13:9 step ratio) mapping tries to get too many octaves (four) for mapping a tuning system this large on the currently available version of the Lumatone, so it misses some notes in each octave; furthermore, the octaves slope down mildly. Despite the missing notes Bryan Deister has used this mapping in 84edo groove (2026).

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 04:04, 10 May 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 05:02, 28 May 2026 (UTC)

Sephiroth + Variant Orwell + Meansquared Lumatone mappings

13edo (demonstrated to work)

It is possible to follow in the footsteps of magic/muggles temperament for 13edo, but using a much flatter classic major third ~5/4 (as 4\13) as the generator, as sephiroth, producing a 3L 1s scale (4:1 step ratio) going right and up, as used by Bryan Deister in a microtonal totentanz in 13edo (2023). This also supports scales 1L 3s (4:3 step ratio, going down-right, as in variant orwell, although it would be awkward to play the more familiar 4L 5s scale) and 5L 2s (4/1-equivalent) (4:3 step ratio, going overall straight right through the octave zig-zag, as in meansquared). Octaves alternate between near/mid/far and mid-near/mid-far, with double octaves being perfectly level (thus enabling dual manuals); the range is 10¼ octaves.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 09:59, 18 February 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 10:17, 4 March 2026 (UTC)

Sixix Lumatone mappings

32edo (demonstrated to work)

Although the compressed Sixix mapping for 32edo is the most efficient in terms of getting range without missing notes and has only a gentle octave slope, the lack of vertical repeats may cause trouble at vertical wraparounds, and some fingerings are still awkward. Bryan Deister has demonstrated a 4L 3s mapping (with a 5:4 step ratio) that is more relaxed, in Licorice Hearted - 32edo (2026) ([short 1]; [short 2]), although with different placement of the first MIDI note 0. Both the flat (best) and sharp (second-best) approximations of the classic major third ~5/4 are easily accessible (although the flat approximation is slightly easier), as is the (sharp) fifth ~3/2. The contiguous range is just under 5¼ octaves, with a moderate downwards slope.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 00:08, 15 January 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:35, 20 January 2026 (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)].

Template:Lumatone EDO mapping

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.

Template:Lumatone EDO mapping

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

Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings

51edo (demonstrated to work)

One way of treating 51edo is as three versions of 17edo, rearranged so as to divide the fifth and the octave also into three parts each, as demonstrated by Bryan Deister in 51edo improv (2026-04-22). This is very much like landscape temperament in equating the octave with a stack of three near-just quasi-tempered major thirds (~63/50, as 17\51), but requires use of the 2.3.25.7 subgroup; division of the fifth (~3/2, as 30\51) into three parts (slightly sharp septimal major seconds ~8/7, as 10\51) also puts this temperament in the gamelismic clan (thus related to tritikleismic, but again using the 2.3.25.7 subgroup). The obvious scale moving up and right is 3L 3s (10:7 step ratio); the obvious scale moving right and down-right is 9L 4s (4/1-equivalent) (10:3 step ratio); the upward and downward movements in the latter scale nearly cancel out so that while octaves alternate between far and near, double octaves just barely slope down. The range is 5¼ octaves with no missed notes and no repeated notes.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 05:02, 28 May 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 02:05, 30 May 2026 (UTC)

Whitewood + Bohpier Lumatone mappings

49edo (demonstrated to work)

Since 49edo is a multiple of 7edo, and not too far beyond the highest non-diatonic multiple thereof, whitewood mappings are legitimate, as Bryan Deister demonstrates in 49edo groove (2026). The sevenths of octaves proceed right, and therefore the octaves slope upwards with this, yielding a range a bit over 4½ octaves. The generator apart from the octave division proceeds down-right; as 6\42, it functions as a somewhat flat Alpharabian tendoneutral second ~12/11 (and if the 49f val is used, also as a rather sharp but still consistent tridecimal neutral second ~13/12), thus making this also a bohpier mapping, with a rotated 1L 7s scale having a 7:6 step ratio. Three of these generators make a somewhat sharp septimal major third ~9/7; four of them make a somewhat sharp lesser septimal tritone ~7/5; six of them make a slightly flat classic major sixth ~5/3; and seven of them make a very sharp classic major seventh ~9/5.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 08:57, 11 April 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 00:40, 14 April 2026 (UTC)

Whitewood + Qeema/Tritikleismic Lumatone mappings

42edo (2 mappings demonstrated to work)

Since 42edo is a multiple of 7edo, and not far beyond the last diatonic-incapable tuning 35edo, whitewood is still a legitimate mapping for it; since the 5th harmonic is also close to maximally far from just, this suggests qeema/tritikleismic temperament, using the 42bc val (42bcd if using the 7-limit), for which the generator 11\42 is a near-just classic minor third ~6/5 (with the very large errors in the 3rd and 5th harmonics canceling each other almost perfectly), and corresponds to one key right plus one key down-right, although the two mappings below differ in how the generator is constituted.

2L 6s + 2L 4s version

On one version of the mapping, one key right 6\42 corresponds to the very flatly approximated ptolemaic whole tone ~10/9), and one key down-right 5\42 is a neutral second close to ~25/23 by direct approximation (which, however, does not map to this interval by patent val mapping). Combining these to form the generator plus some extra down-right key movements as needed gives rise to the scales 2L 6s (6:5 step ratio) and 2L 4s (11:5 step ratio). Bryan Deister has demonstrated this in A Hunger Awakes - 42edo [short] (2026), although with different placement of MIDI note 0. The range is about 4¾ octaves, which slant up with the rows (as normal for whitewood mappings).

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 09:46, 16 January 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 10:03, 4 March 2026 (UTC)

2L 7s + 2L 5s version

In an alternate version of the above mapping, one key right 7\42 corresponds to the werckismic tone ~55/49 (since the similar ~9/8 maps inconsistently to another interval), and one key down-right 4\42 corresponds to a sharp large septendecimal semitone ~17/16. Combining these to form the generator generator plus some extra down-right key movements as needed gives rise to the scales 2L 7s (7:4 step ratio) and 2L 5s (11:4 step ratio). Bryan Deister has demonstrated this in Waltz in 42edo [short] (2026). The range is a bit over five octaves, which slant up with the rows (as normal for whitewood mappings).

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 08:20, 25 February 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 10:03, 4 March 2026 (UTC)

Whitewood + Sensi/Sentry Lumatone mappings

35edo (demonstrated to work)

Bryan Deister has used a whitewood mapping for 35edo which also functions for an 3L 5s scale (5:4 step ratio) for a 2.5/3.9/7 version of sensi temperament (sentry), or a 2.3.5.13 version of it if using the 35f val, in [Whistling Like An Oberon - 35edo (2026) ([short 1], [short 2]). The very sharp major third generator 13\35 (one key right plus two keys down-right) can be taken as 9/7 in the former version of the temperament (fractional subgroup), or as 13/10 in the latter version (35f). The range is the range is just over 4½ octaves, which slope upwards with the rows (as expected for a whitewood mapping).

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 22:59, 11 January 2026 (UTC)
Last modified: Lucius Chiaraviglio (talk) 08:36, 13 January 2026 (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.

Hemiwürschmidt/Würschmidt/Hemiwur

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

First mapping added: Lucius Chiaraviglio (talk) 12:55, 6 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 21:37, 2 November 2025 (UTC)

Würschmidt unnamed extension with generator divided by 4

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

Added: Lucius Chiaraviglio (talk) 07:32, 22 July 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 21:37, 2 November 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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