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

→87edo (2 mappings demonstrated to work): Fix typos, and put more specific date on demo video for Flipped and Rotated version, because a demo video showed up for a different 87edo mapping, even though it is not on this page
 
Line 59: Line 59:
=== 87edo (2 mappings demonstrated to work) ===
=== 87edo (2 mappings demonstrated to work) ===


It is possible to lay out [[87edo]] using the generator 14\87, which 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 — the syntonic comma [[81/80]] is not tempered out, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.)
It is possible to lay out [[87edo]] using the generator 14\87, which 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 — the syntonic comma [[81/80]] is not tempered out, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.)


==== Flipped and Rotated ====
==== Flipped and Rotated ====


In the flipped and rotated verions with a [[3L 5s]] scale (14:9 step ratio)the above-mentioned 14\87 generator is one key down-right, while  key right is 9\87, which functions as a flat tridecimal 2/3-tone ~[[14/13]] and a sharp septimal diatonic semitone ~[[15/14]]. This mapping makes it easy to play melodies that sound very diatonic despite the scale being non-diatonic, with octaves sloping moderately down, and a range of over three octaves (although with large partial octaves chopped off by the upper left and lower right corners), which is a bit too much for 87edo, resulting in some missed notes even in the middle octaves. Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/8mHBYBfRjy4 ''87edo improv''] (2026).
In the flipped and rotated verions with a [[3L 5s]] scale (14:9 step ratio) the above-mentioned 14\87 generator is one key down-right, while  key right is 9\87, which functions as a flat tridecimal 2/3-tone ~[[14/13]] and a sharp septimal diatonic semitone ~[[15/14]]. This mapping makes it easy to play melodies that sound very diatonic despite the scale being non-diatonic, with octaves sloping moderately down, and a range of over three octaves (although with large partial octaves chopped off by the upper left and lower right corners), which is a bit too much for 87edo, resulting in some missed notes even in the middle octaves. Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/8mHBYBfRjy4 ''87edo improv''] (2026-07-11).


{{Lumatone EDO mapping|n=87|start=0|xstep=9|ystep=5}}
{{Lumatone EDO mapping|n=87|start=0|xstep=9|ystep=5}}
Line 75: Line 75:
Flipped and Rotated version added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:41, 13 July 2026 (UTC)<br>
Flipped and Rotated version added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:41, 13 July 2026 (UTC)<br>
Split generator verision added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:39, 15 November 2025 (UTC)<br>
Split generator verision added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:39, 15 November 2025 (UTC)<br>
Combined and last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:34, 14 July 2026 (UTC)
Combined:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:34, 14 July 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:14, 1 October 2026 (UTC)


== Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings ==
== Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings ==