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

← Older edit Newer edit →

VisualWikitext

@@ Line 28: / Line 28: @@
 Copied here from Lumatone mapping for 24edo page:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:44, 9 July 2025 (UTC)
-== Catalan + Clyde + Didacus Lumatone mappings ==
+== Didacus + Catalan + Clyde Lumatone mappings ==
 === 49edo (demonstrated to work) ===
-[[Bryan Deister]] has demonstrated a [[3L&nbsp;5s]] (8:5 step ratio) mapping for [[49edo]], in [https://www.youtube.com/shorts/zb1Z6o-Uvuw ''weathergirl - FLAVOR FOLEY (microtonal cover in 49edo)''] (2025). This mapping lends itself to three rank-2 temperaments. The right generator 8\49 is a flat Pythagorean whole tone ~[[9/8]] in [[Hemimean_clan#Didacus|Didacus]], which uses the direct approximation of the 9th harmonic, and uses ~9/8 as its generator. The right + down-right generator 13\49 is a near-just (slightly sharp) classic minor third ~[[6/5]] in [[Kleismic_family#Catalan|Catalan]], which uses the 3rd harmonic, which is quite sharp, but has most of its error canceled by the sharp 5th harmonic. The right + 2 down-right generator 18\49 is a mildly sharp septimal major third ~[[9/7]] in [[Kleismic_family#Clyde|Clyde]], which also uses the 3rd 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.
+[[Hemimean_clan#Didacus|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&nbsp;5s]] (8:5 step ratio) Didacus mapping for [[49edo]] has been demonstrated by [[Bryan Deister]] in [https://www.youtube.com/shorts/zb1Z6o-Uvuw ''weathergirl - FLAVOR FOLEY (microtonal cover in 49edo)''] (2025). This mapping lends itself to two additional rank-2 temperaments. One of these is [[Kleismic_family#Catalan|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 [[Kleismic_family#Clyde|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.
 {{Lumatone EDO mapping|n=49|start=44|xstep=8|ystep=-3}}
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:20, 9 November 2025 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:29, 10 November 2025 (UTC)
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:26, 10 November 2025 (UTC)
 == Familia Lumatone mappings ==