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

Due to the dreaded "template include too large" error, moved the Valentine 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.

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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.

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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)

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.

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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) Moved here from Various Kit-Bashed Lumatone mappings: Lucius Chiaraviglio (talk) 19:35, 23 July 2025 (UTC)

Lesser Tendoneutralic Lumatone mappings

67edo (demonstrated to workl)

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).

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

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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.

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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

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)

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.

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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).

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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).

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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)

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.

Moved 28edo up to new Machine Lumatone mappings section on this page; moved 30edo to Rank-3 Lumatone mappings page: Lucius Chiaraviglio (talk) 19:35, 23 July 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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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.

Template:Lumatone EDO mapping

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).

Template:Lumatone EDO mapping

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

Added: Lucius Chiaraviglio (talk) 17:43, 31 July 2025 (UTC)

91edo pseudo-isomorphic (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 91edo in microtonal improvisation in 91edo (2025). This layout is numbered as for 92edo, but note 91 is actually a duplicate of note 0. The range is just one note short of 3 full octaves, with octaves sloping down gently, unlike the fully isomorphic version below, which avoids the interruption from the duplicated note 0 and has slightly greater range, but at the cost of greater (and opposite) octave slope and a vertical wraparound of note 0 with ascending octaves (as well as producing a discontinuity in scales). This mapping has the same generators as the fully isomorphic version, as described below.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 16:02, 4 June 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:54, 8 June 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).

Template:Lumatone EDO mapping

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

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).

Template:Lumatone EDO mapping

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)

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)