@@ Line 6: / Line 6: @@
 Moved:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:20, 21 June 2025 (UTC)
-== Whitewood + Qeema/Tritikleismic Lumatone mappings ==
-=== 42edo (2 mappings) ===
-==== 2L&nbsp;6s + 2L&nbsp;4s version (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 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); this generator corresponds to one key right (which itself is the very flatly approximated major second ~[[9/8]]) plus one key down-right. Use of this generator plus some extra down-right key movements as needed gives rise to the scales [[2L&nbsp;6s]] (6:5 step ratio) and [[2L&nbsp;4s]] (11:5 step ratio). [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/B90JT_SxSSE ''<nowiki>A Hunger Awakes - 42edo [short]</nowiki>''] (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).
-{{Lumatone EDO mapping|n=42|start=34|xstep=6|ystep=-1}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:46, 16 January 2026 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:20, 25 February 2026 (UTC)
-==== 2L&nbsp;7s + 2L&nbsp;5s version (demonstrated to work but awaiting approval) ====
-In an alternate version of the above mapping, use of this generator plus some extra down-right key movements as needed gives rise to the scales [[2L&nbsp;7s]] (7:4 step ratio) and [[2L&nbsp;5s]] (11:4 step ratio). [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/D_YgzRJFg8I ''<nowiki>Waltz in 42edo [short]</nowiki>''] (2026). The range is a bit over five octaves, which slant up with the rows (as normal for whitewood mappings).
-{{Lumatone EDO mapping|n=42|start=0|xstep=7|ystep=-3}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:20, 25 February 2026 (UTC)
-== Hemikleismic + Semaja Lumatone mappings ==
-=== 53edo (demonstrated to work) ===
-[[Bryan Deister]] has demonstrated a mapping for [[53edo]] in [https://www.youtube.com/shorts/WtSaDQCyfVc ''Waltz in 53edo''] (2026) that functions for [[Kleismic_family#Hemikleismic|hemikleismic]] ([[7L&nbsp;1s]] scale with a 7:4 step ratio right and right-up with the small step stretched) and [[Porwell_temperaments#Semaja|semaja]] (rotated [[5L&nbsp;1s]] with a 10:3 step ratio down-right and down); a [[5L&nbsp;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).
-{{Lumatone EDO mapping|n=53|start=7|xstep=7|ystep=3}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:41, 27 February 2026 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:12, 1 March 2026 (UTC)
-== Neutral Thirds (Emphasizing Neutral Seconds) Lumatone mappings ==
-=== 24edo (demonstrated to work) ===
-Another neutral thirds mapping uses a [[6L&nbsp;3s]] scale (3:2 step ratio) to make [[24edo]] neutral seconds (3\24) more easily accessible, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/shorts/3ZvbKIGBLoY ''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.
-{{Lumatone EDO mapping|n=24|start=0|xstep=3|ystep=-1}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:33, 3 March 2026 (UTC)<br>
-Last Modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:44, 4 March 2026 (UTC)
 == Amity Lumatone mappings ==
@@ Line 68: / Line 25: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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&nbsp;3s]] (10:3 step ratio) mapping that functions for both a rank-2 or rank-3 [[archipelago]]-related temperament and [[catalan]] temperament, demonstrated in [https://www.youtube.com/shorts/34w7euOF-Ss ''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 &mdash; instead it makes for scales in which the small interval is only 1\49. Therefore, for facility in making scales, including the aforementioned 4L&nbsp;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&nbsp;3s.
+{{Lumatone EDO mapping|n=49|start=4|xstep=10|ystep=-7}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:34, 7 April 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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 [https://www.youtube.com/shorts/VmUIxWb8NCY ''49edo prelude''] (2026), although with note 0 set to where note 38 is here.
+{{Lumatone EDO mapping|n=49|start=6|xstep=3|ystep=7}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 11:38, 18 April 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:12, 21 April 2026 (UTC)
 == Aureus Pseudo-Meantone Lumatone mappings ==
@@ Line 82: / Line 59: @@
 === 87edo (demonstrated to work) ===
-[[Bryan Deister]] has demonstrated a [[11L&nbsp;5s]] (7:2 step ratio) mapping for [[87edo]] in [[https://www.youtube.com/shorts/rINJKiMQE78 ''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 &mdash; 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.
+[[Bryan Deister]] has demonstrated a [[11L&nbsp;5s]] (7:2 step ratio) mapping for [[87edo]] in [https://www.youtube.com/shorts/rINJKiMQE78 ''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 &mdash; 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.
 {{Lumatone EDO mapping|n=87|start=6|xstep=7|ystep=-5}}
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:39, 15 November 2025 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:13, 18 November 2025 (UTC)
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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&nbsp;1s]] (6:1 step ratio) mapping for [[37edo]] in [https://www.youtube.com/shorts/Jt6_r6r3lGY ''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 &mdash; 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.
+{{Lumatone EDO mapping|n=37|start=12|xstep=6|ystep=-5}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 00:07, 4 May 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:29, 6 May 2026 (UTC)
 == Baldy Lumatone mappings ==
@@ Line 163: / Line 151: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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 [[Gamelismic_clan#mothra|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&nbsp;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)|diminished]] temperament, without which the temperament would otherwise be [[Saturation, torsion, and contorsion|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 [https://www.youtube.com/shorts/ovA5-YkjxWk ''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.
+{{Lumatone EDO mapping|n=52|start=4|xstep=10|ystep=-7}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:39, 28 March 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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&nbsp;val, which means that it  has to be constituted as {{nowrap|(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 clan|pentacircle]] but for the direct approximation mapping of ~9/8. The upward generator is ~[[16/15]]. In addition, this mapping makes a [[4L&nbsp;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_(temperament)|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 [https://www.youtube.com/shorts/lNJCZz7EjL0 ''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.
+{{Lumatone EDO mapping|n=52|start=4|xstep=9|ystep=-5}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:22, 5 May 2025 (UTC)<br>
+Moved here from [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Unnamed_temperament_Lumatone_mappings|Unnamed temperament Lumatone mappings]]:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:02, 28 March 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:02, 28 March 2026 (UTC)
 == Familia Lumatone mappings ==
@@ Line 184: / Line 195: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:36, 27 August 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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 [https://www.youtube.com/shorts/WtSaDQCyfVc ''Waltz in 53edo''] (2026) that functions for [[Kleismic_family#Hemikleismic|hemikleismic]] ([[7L&nbsp;1s]] scale with a 7:4 step ratio right and right-up with the small step stretched) and [[Porwell_temperaments#Semaja|semaja]] (rotated [[5L&nbsp;1s]] with a 10:3 step ratio down-right and down); a [[5L&nbsp;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).
+{{Lumatone EDO mapping|n=53|start=7|xstep=7|ystep=3}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:41, 27 February 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:12, 1 March 2026 (UTC)
 == Infraorwell Lumatone mappings ==
-=== 49edo (proposed but untested) ===
+=== 49edo (demonstrated to work) ===
-Here is a forward chroma [[4L&nbsp;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 [[Orwellismic_temperaments#Infraorwell|Infraorwell]].
+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]] &mdash; hence [[Orwellismic_temperaments#Infraorwell|infraorwell]]. It is possible to produce a forward chroma [[4L&nbsp;5s]] (gramitonic, 6:5 step ratio) infraorwell mapping for 49edo, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/watch?v=7pK-JcIrd18 Deltarune – ''Man'' (cover)] (2023) and (very differently) in [https://www.youtube.com/shorts/V8t7MyP2Nuo ''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.
-{{Lumatone EDO mapping|n=49|start=35|xstep=6|ystep=-1}}
+{{Lumatone EDO mapping|n=49|start=33|xstep=6|ystep=-1}}
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:58, 8 November 2025 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:21, 9 November 2025 (UTC)
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:40, 21 April 2026 (UTC)
 === 67edo (2 mappings demonstrated to work) ===
@@ Line 278: / Line 300: @@
 Last Modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:39, 29 March 2025 (UTC)
 Moved here from Various Kit-Bashed Lumatone mappings:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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&nbsp;1s]], with a 9:4 step ratio). [[Bryan Deister]] has demonstrated this in [[Bryan Deister]]'s [https://www.youtube.com/shorts/_yNrDI6nS1I ''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.
+{{Lumatone EDO mapping|n=49|start=4|xstep=9|ystep=-5}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:56, 10 April 2026 (UTC)
 == Neutral Thirds (Compressed) Lumatone mappings ==
@@ Line 290: / Line 320: @@
 Copied here from Lumatone mapping for 24edo page:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:44, 9 July 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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&nbsp;3s]] scale (3:2 step ratio) to make [[24edo]] neutral seconds (3\24) more easily accessible, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/shorts/3ZvbKIGBLoY ''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.
+{{Lumatone EDO mapping|n=24|start=0|xstep=3|ystep=-1}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:33, 3 March 2026 (UTC)<br>
+Last Modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:44, 4 March 2026 (UTC)
 == Neutral Thirds + Opossum + Hemisensi + Ptolemy Lumatone mappings ==
@@ Line 312: / Line 353: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 17 July 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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&nbsp;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 [https://www.youtube.com/shorts/Qu6UIA2NmmQ ''84edo groove''] (2026).
+{{Lumatone EDO mapping|n=84|start=67|xstep=9|ystep=4}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:04, 10 May 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:02, 28 May 2026 (UTC)
 == Sephiroth + Variant Orwell + Meansquared Lumatone mappings ==
-=== 13edo (demonstrated to work but awaiting approval) ===
+=== 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&nbsp;1s]] scale (4:1 step ratio) going right and up, as used by [[Bryan Deister]] in [https://www.youtube.com/shorts/LOgt_in9SD0 ''a microtonal totentanz in 13edo''] (2023). This also supports scales [[1L&nbsp;3s]] (4:3 step ratio, going down-right, as in variant [[orwell]], although it would be awkward to play the more familiar [[4L&nbsp;5s]] scale) and [[5L&nbsp;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.
@@ Line 322: / Line 374: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:59, 18 February 2026 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:04, 18 February 2026 (UTC)
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:17, 4 March 2026 (UTC)
 == Sixix Lumatone mappings ==
@@ Line 356: / Line 408: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:32, 27 August 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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 [https://www.youtube.com/watch?v=k3NOBYbiqpo ''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&nbsp;3s]] (10:7 step ratio); the obvious scale moving right and down-right is [[9L&nbsp;4s&nbsp;(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.
+{{Lumatone EDO mapping|n=51|start=4|xstep=10|ystep=-7}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:02, 28 May 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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 [https://www.youtube.com/shorts/BcBtD3nuEQs ''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&nbsp;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]].
+{{Lumatone EDO mapping|n=49|start=34|xstep=7|ystep=-1}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:57, 11 April 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk: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&nbsp;6s + 2L&nbsp;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&nbsp;6s]] (6:5 step ratio) and [[2L&nbsp;4s]] (11:5 step ratio). [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/B90JT_SxSSE ''<nowiki>A Hunger Awakes - 42edo [short]</nowiki>''] (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).
+{{Lumatone EDO mapping|n=42|start=34|xstep=6|ystep=-1}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:46, 16 January 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:03, 4 March 2026 (UTC)
+==== 2L&nbsp;7s + 2L&nbsp;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&nbsp;7s]] (7:4 step ratio) and [[2L&nbsp;5s]] (11:4 step ratio). [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/D_YgzRJFg8I ''<nowiki>Waltz in 42edo [short]</nowiki>''] (2026). The range is a bit over five octaves, which slant up with the rows (as normal for whitewood mappings).
+{{Lumatone EDO mapping|n=42|start=0|xstep=7|ystep=-3}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:20, 25 February 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:03, 4 March 2026 (UTC)
 == Whitewood + Sensi/Sentry Lumatone mappings ==

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