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

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→Compressed Neutral Thirds Lumatone mappings: Insert Clyde + Sensi Lumatone mappings before this, starting with Bryan Deister's Lumatone mapping for 19edo
→Clyde + Sensei + Negri Lumatone mappings: Add demo video and the proper sub-section heading
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== Clyde + Sensei + Negri Lumatone mappings ==
== Clyde + Sensei + Negri Lumatone mappings ==


[[Bryan Deister]] has demonstrated a mapping for [[19edo]] that supports both an [[8L 3s]], as in [[Clyde]] and [[Sensei]] temperaments and a [[9L 1s]] scale as in [[Negri]] temperament, in both cases with a 2:1 step ratio. 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). (Rest of description goes here.)
=== 19edo (demonstrated to work but awaiting approval) ===
 
[[Bryan Deister]] has demonstrated a mapping for [[19edo]] that supports both an [[8L 3s]], as in [[Clyde]] and [[Sensei]] temperaments and a [[9L 1s]] scale as in [[Negri]] temperament, in both cases with a 2:1 step ratio, in [https://www.youtube.com/shorts/mJq3-_n4RT8 ''19edo improv''] (2025). 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). (Rest of description goes here.)


{{Lumatone EDO mapping|n=19|start=0|xstep=2|ystep=-1}}
{{Lumatone EDO mapping|n=19|start=0|xstep=2|ystep=-1}}

Revision as of 07:16, 17 December 2025

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

Moved Lumatone mappings

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

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

Amity Lumatone mappings

99edo (proposed and untested)

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

93
1
98
6
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46
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26

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

6
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9
19
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49
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42
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62
9
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61
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48
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5
15
61
8

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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86
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81
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75
82
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80
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84
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86
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81
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11
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86
6
13
1
8

Added: Lucius Chiaraviglio (talk) 09:39, 15 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 10:13, 18 November 2025 (UTC)

Clyde + Sensei + Negri Lumatone mappings

19edo (demonstrated to work but awaiting approval)

Bryan Deister has demonstrated a mapping for 19edo that supports both an 8L 3s, as in Clyde and Sensei temperaments and a 9L 1s scale as in Negri temperament, in both cases with a 2:1 step ratio, in 19edo improv (2025). 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). (Rest of description goes here.)

0
2
1
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7
9
0
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1

Added: Lucius Chiaraviglio (talk) 07:14, 17 December 2025 (UTC)

Compressed Neutral Thirds Lumatone mappings

24edo (demonstrated to work)

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

2
9
5
12
19
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9
1
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15
22
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12
19
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12
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21
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11
18
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12
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10
17
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13
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22
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17
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18
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19
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4
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18
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21
4

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

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.

44
3
0
8
16
24
32
46
5
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37
45
4
2
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34
42
1
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48
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41
0

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

0
4
3
7
11
15
3
2
6
10
14
2
6
10
14
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9
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1
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Added: Lucius Chiaraviglio (talk) 07:56, 15 November 2025 (UTC)

Familia Lumatone mappings

39edo (demonstrated to work)

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

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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.

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

Infraorwell Lumatone mappings

49edo (proposed but untested)

Here is a forward chroma 4L 5s (gramitonic, 6:5 step ratio) mapping for 49edo. This mapping gets all notes in each octave and has a range of a bit over 4 octaves. Apart from straight right (forward chroma version) or straight down-right (reverse chroma version, the most accessible generator is 11\49, 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.

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Added: Lucius Chiaraviglio (talk) 19:58, 8 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 23:21, 9 November 2025 (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.

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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)

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)

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)

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)

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)

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)

Retrieved from "https://en.xen.wiki/index.php?title=User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings&oldid=219176"