User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions
→Moved Lumatone mappings: Insert Amity Lumatone mappings after this, starting with 99edo (Amicable) |
→99edo (proposed and untested): The octave is divided into three equal parts |
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=== 99edo (proposed and untested) === | === 99edo (proposed and untested) === | ||
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]], with a scale [[12L 3s]] (8:1 step ratio). 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]], 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, with some repeated notes to ease vertical wraparound. Compared to the [[Amity]] ([[Amity family#Amicable|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. | ||
{{Lumatone EDO mapping|n=99|start=12|xstep=8|ystep=-7}}<br> | {{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)<br> | 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]]) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:47, 23 July 2025 (UTC) | ||
== Various Kit-Bashed Lumatone mappings == | == Various Kit-Bashed Lumatone mappings == | ||