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

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 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:14, 17 December 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:30, 21 December 2025 (UTC)
+== Bohpier Lumatone mappings ==
+=== 41edo (demonstrated to work ===
+Since [[41edo]] is very close to [[BPS]] (Bohlen–Pierce–Stearns) with its generator split into 5 equal parts and the addition of prime 2, it makes sense to map it for [[bohpier]] temperament, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/shorts/ZSRxYfCM1FQ ''41edo improv''] (2026-09-01). The generator 5\41 (reached very simply by moving one key right from the root note) functions as a flat undecimal neutral second ~[[12/11]] and a sharp lesser tridecimal neutral second ~[[13/12]]. The range is somewhat over 4½ octaves, although the octaves slope down severely, incurring vertical wraparounds.
+{{Lumatone EDO mapping|n=41|start=4|xstep=5|ystep=4}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:32, 7 September 2026 (UTC)
 == Cavalier Lumatone mappings ==
@@ Line 133: / Line 143: @@
 == Clyde + Sensei + Negri Lumatone mappings ==
-=== 19edo (demonstrated to work) ===
+=== 19edo (2 mappings demonstrated to work) ===
+[[19edo]] notably does not have a neutral third, and thus no neutral thirds mapping. The closest thing to a neutral thirds mapping is [[Bryan Deister]]'s mappings that support temperaments [[Clyde]] (a [[Hanson]] sub-temperament) using 5\19 as its generator that functions as a near-just classic minor third ~[[6/5]]; [[Negri]] using a minor second 2\19 that functions as flat ~[[13/12]], near-just ~[[14/13]], moderately sharp ~[[15/14]], and (key for Negri) sharp ~[[16/15]] (the classical diatonic semitone); and [[Sensei]] (a sub-temperament of [[Sensi]]) using 7\19 (a supermajor third)  as a generatorthat functions as moderately sharp ~[[9/7]] (key for Sensi), flat ~[[13/10]], very flat ~[[21/16]], and very sharp ~[[32/25]].
+==== Forward chroma (expanded) ====
-[[Bryan Deister]] has demonstrated a mapping for [[19edo]] that supports both a [[9L&nbsp;1s]] scale, as in [[Negri]] temperament, and an [[8L&nbsp;3s]] scale, as in [[Clyde]] and [[Sensei]] temperaments, in both cases with a 2:1 step ratio, in [https://www.youtube.com/shorts/mJq3-_n4RT8 ''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).
+In the forward chroma version, demonstrated in Bryan Deister's [https://www.youtube.com/shorts/mJq3-_n4RT8 ''19edo improv''] (2025), the Clyde generator 5\19 requires movement two keys right from the root note plus one key up or (preferably) down-right; the Negri generator 2\19 is very simple in key movements, being one step right from the root note; and the 7\19 generator for Sensei requires movement three keys right from the root note plus one key up or (preferably) down-right. Supported scales are [[8L&nbsp;3s]] for Clyde and Sensei and [[9L&nbsp;1s]] for Negri, both having 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).
 {{Lumatone EDO mapping|n=19|start=0|xstep=2|ystep=-1}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:14, 17 December 2025 (UTC)<br>
+==== Reverse chroma ====
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 01:10, 31 August 2026 (UTC)
+In the reverse chroma version, demonstrated in Bryan Deister's [https://www.youtube.com/shorts/Rwn6cAGUfR0 ''19edo groove''] (2026), the chroma is the [[meantone]] major second (flat ~[[9/8]], sharp ~[[10/9]]); the Clyde generator 5\19 is now very simple at one key down-right; the Negri generator 2\19 is also very simple at one key right; and the Sensi super-major third generator 7\19 is also simple at one key right plus one key down-right. This mapping supports a [[3L&nbsp;2s]] scale (moving down and right and octaves sloping down accordingly) and a [[1L&nbsp;7s]] scale (moving right and octaves sloping gently upwards just slightly less than the rows), both having a 5:2 step ratio; if a bit of backtracking is acceptable, the latter scale can be extended to [[1L&nbsp;8s]] (3:1 step ratio) or even [[9L&nbsp;1s]] (2:1 step ratio). This tends to favor a very xenharmonic type of playing; however, the number of repeated notes is enough so that if a meantone pentatonic scale ([[2L&nbsp;3s]], 5:3 step ratio) is needed, it is available proceeding downwards and slightly right, with somewhat less chance of a vertical wraparound than with the forward chroma version. The range is just over six octaves, which for some purposes more than makes up for the strange reverse chroma layout and the lack of options for multiple manuals.
+{{Lumatone EDO mapping|n=19|start=11|xstep=2|ystep=3}}
+Added forward chroma (expanded) version:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:14, 17 December 2025 (UTC)<br>
+Added reverse chroma version:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:01, 31 August 2026 (UTC)<br>
+Integrated and last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:12, 2 September 2026 (UTC)
 == Didacus + Catalan + Clyde Lumatone mappings ==
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 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)
+== Sensipent (<sup>1</sup>/<sub>5</sub>-Octave) + Malcolmismic Pseudo-Pinetone (<sup>1</sup>/<sub>5</sub>-Octave) Lumatone mappings ==
+=== 65edo (demonstrated to work) ===
+[[Bryan Deister]] has demonstrated a rotated [[sensipent]] mapping, in which the [[3L&nbsp;5s]] (10:7 step ratio) scale proceeds up and somewhat right (usually incurring a vertical wraparound), and a [[5L&nbsp;5s]] scale (10:3 step ratio) proceeds right and down-right with the <sup>1</sup>/<sub>5</sub> division of the octave (13\65), in [https://www.youtube.com/shorts/pSIT-4VaGD0 ''65edo improv''] (2026). In accordance with sensipent harmony, the <sup>1</sup>/<sub>5</sub> division of the octave (13\65, one key right plus one key down-right) functions as both a near-just (only slightly sharp) tricesimoprimal ultramajor second ~[[31/27]], as well as a near-just (only slightly flat) vicesimotertial inframinor third ~[[23/20]]. The normal 31-limit (or even 2.3.5.31 subgroup) sensipent generator 24\65 functions as both a near-just (practically perfect) tricesimoprimal ultramajor third ~[[31/24]] and a near-just (only slightly sharp) tricesimoprimal supermajor third ~[[40/31]]. This is most simply <sup>1</sup>/<sub>5</sub>-octave-reduced to the familiar near-just (only slightly flat) Pythagorean whole tone ~[[9/8]]. Alternatively (and easier to reach), the generator 10\65 (one key right, functioning as a slightly sharp classic whole tone ~[[10/9]]) can be used as a generator; although it is not co-prime with 65edo, it is co-prime with the <sup>1</sup>/<sub>5</sub>-octave; this is like a weak extension of [[pinetone]] (again with the <sup>1</sup>/<sub>5</sub> division of the octave), but tempering out the malcolmisma [[171/170]] instead of the porcupine comma [[250/243]]. This mapping is maximally efficient, with a range just under 4⅛ octaves with no missed notes and no repeated notes, although the octaves slope down severely and wrap around vertically.
+{{Lumatone EDO mapping|n=65|start=4|xstep=10|ystep=-7}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:06, 16 September 2026 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:30, 17 September 2026 (UTC)
 == Sephiroth + Variant Orwell + Meansquared Lumatone mappings ==