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

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 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:07, 12 May 2025 (UTC)
-=== 92edo (demonstrated to work but awaiting approval) ===
+=== 92edo (demonstrated to work) ===
-<div class="mw-collapsible mw-collapsed">
+[[Bryan Deister]] has demonstrated an [[8L&nbsp;5s]] (step ratio 9:4) mapping for [[92edo]] in [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025). As 9\92, the rightward generator maps to a slightly flat ~[[31/29]], and five of these make the slightly sharp patent fifth ~[[3/2]]. The upward generator 5\92 yields ~[[14/13]] by stacking two of these. The down-right generator 4\92 functions as ~[[33/32]], ~[[34/33]], and ~[[35/34]]; stacking two of these (8\92) yields ~[[17/16]]; stacking six of these (24\92) yields ~[[6/5]]; stacking eight of these (32\92) yields ~[[14/11]]. The first note 0 can be placed in the lower left corner (as actually used in the demonstration video) to avoid having a little piece of an octave before it, but this results in a vertical wraparound of the octaves, which slant down moderately (over the range of slightly over 2¼ octaves).
-  (Diatonic mappings to go with Bryan Deister's mapping when it goes live)
-  <div class="mw-collapsible-content">
-There are many conceivable ways to map [[95edo]] onto the onto the Lumatone keyboard, but the [[Standard Lumatone mapping for Pythagorean]] does not work for the [[patent val]], because the patent fifth is shared with [[46edo]], making two mutually-exclusive rings of fifths. It only works for the very flat (92b&nbsp;val) and very sharp (92bb&nbsp;val) alternate fifths. Also, the large number of notes means the standard diatonic mapping and many others will fail to cover the entire gamut.
-==== Diatonic (sharp fifth) ====
-The 92bb val has a very sharp fifth. On a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes (460 required in the space of five octaves), this diatonic mapping would be a good mapping for a very sharp temperament of the [[Archytas clan]].
-{{Lumatone EDO mapping|n=92|start=32|xstep=18|ystep=-17}}
-==== Diatonic (flat fifth) ====
-The 92b val has a very flat fifth, just 0.102{{c}} sharp of [[1/2-comma meantone]].  On a hypothetical XL-sized Lumatone (as above), this diatonic mapping would be a good mapping for [[flattone]] (as 92bcccd) or [[flattertone]] (as 92bcccdd).
-{{Lumatone EDO mapping|n=92|start=76|xstep=14|ystep=-3}}
-==== Unidentified rank-3 temperament mapping ====
-  </div>
-</div>
-[[Bryan Deister]] has demonstrated an [[8L&nbsp;5s]] (step ratio 9:4) mapping for [[92edo]] in [https://www.youtube.com/shorts/5XFOALAzLiA ''microtonal improvisation in 92edo''] (2025). As 9\92, the rightward generator maps to a slightly flat ~[[31/29]], and five of these make the slightly sharp patent fifth ~[[3/2]]. The upward generator 5\92 yields ~[[14/13]] by stacking two of these. The down-right generator 4\92 functions as ~[[33/32]], ~[[34/33]], and ~[[35/34]]; stacking two of these (8\92) yields ~[[17/16]]; stacking six of these (24\92) yields ~[[6/5]]; stacking eight of these (32\92) yields ~[[14/11]].
 {{Lumatone EDO mapping|n=92|start=2|xstep=9|ystep=-5}}
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 01:51, 2 June 2025 (UTC)<br>
-Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 02:55, 2 June 2025 (UTC)
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:28, 4 June 2025 (UTC)
 === 93edo (demonstrated to work) ===