User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions
→93edo (demonstrated to work): Credit changes by Yourmusic Productions and ArrowHead294 in text, and insert Bryan Deister's Lumatone mapping for 92edo above this |
→92edo (demonstrated to work but awaiting approval): Add the diatonic mappings for 92edo that need to go with this one into the official page when making this live |
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=== 92edo (demonstrated to work but awaiting approval) === | === 92edo (demonstrated to work but awaiting approval) === | ||
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(Diatonic mappings to go with Bryan Deister's mapping when it goes live) | |||
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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 val) and very sharp (92bb 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 [[_]]. | |||
{{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 ==== | |||
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[[Bryan Deister]] has demonstrated an [[8L 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]]. | [[Bryan Deister]] has demonstrated an [[8L 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]]. | ||
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{{Lumatone EDO mapping|n=92|start=2|xstep=9|ystep=-5}} | {{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) | 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]]) 02:15, 2 June 2025 (UTC) | |||
=== 93edo (demonstrated to work) === | === 93edo (demonstrated to work) === | ||