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]]) 20:35, 21 July 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:47, 22 July 2025 (UTC)
+=== 99edo (demonstrated to work but awaiting approval) ===
+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 [[Hemimean_clan#Hemiwürschmidt|Hemiwürschmidt/Würschmidt/Hemiwur]] with a slightly flat septimal) middle whole ton ~[[28/25]] for the divided generator. Division 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]]. 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 [https://www.youtube.com/shorts/p9OUaFuTUek ''99edo waltz''] (2025).
+{{Lumatone EDO mapping|n=99|start=40|xstep=16|ystep=-3}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:55, 6 July 2025 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:31, 22 July 2025 (UTC)
 === 99edo (proposed and untested) ===
-Inspired by the [[Würschmidt]] Lumatone mapping for 65edo, here is one for [[99edo]], although some differences are unavoidable. The Würschmidt generator, which is the classic major third ~[[5/4]] (near-just), is 32\99, so it is divisible by 2 or 4 but not by 3. Division by 2 to get 16\99 yields [[Hemimean_clan#Hemiwürschmidt|Hemiwürschmidt/Würschmidt/Hemiwur]] with a slightly flat septimal) middle whole ton ~[[28/25]] for the divided generator. Division 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]]. 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, with some repeated notes to ease vertical wraparound.
+The Würschmidt generator, which is the classic major third ~[[5/4]] (near-just), is 32\99, so it is divisible by 2 or 4 but not by 3. Division by 2 to get 16\99 yields [[Hemimean_clan#Hemiwürschmidt|Hemiwürschmidt/Würschmidt/Hemiwur]] with a slightly flat septimal) middle whole ton ~[[28/25]] for the divided generator, but tries to get too much range for 99edo, and thereby misses notes. Division 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]]. 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, with some repeated notes to ease vertical wraparound.
-{{Lumatone EDO mapping|n=99|start=12|xstep=8|ystep=-7}}
+{{Lumatone EDO mapping|n=99|start=12|xstep=8|ystep=-7}}<br>
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:32, 22 July 2025 (UTC)
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:32, 22 July 2025 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:31, 22 July 2025 (UTC)
 == Various Kit-Bashed Lumatone mappings ==