https://en.xen.wiki/index.php?action=history&feed=atom&title=Lumatone_mapping_for_85edo 2026-06-25T17:41:31Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Lumatone_mapping_for_85edo&diff=204341&oldid=prev 2025-07-10T17:17:03Z

<p>Create Lumatone mapping for 95edo, starting with Bryan Deister&#039;s Lumatone mapping for 85edo and the obligatory diatonic mapping</p> <p><b>New page</b></p><div>There are many conceivable ways to map 85edo onto the onto the Lumatone keyboard. However, the [[patent val]] has five mutually-exclusive rings of fifths, so the [[Standard Lumatone mapping for Pythagorean]] will not work unless the very flat alternate fifth (85b val) is used.<br /> <br /> == Diatonic ==<br /> Due to the size of the edo, this mapping does not cover all the notes (to do so on a hypothetical XL-sized Lumatone would require 425 keys in the space of 5 octaves).<br /> {{Lumatone EDO mapping|n=85|start=71|xstep=13|ystep=-3}}<br /> <br /> == Gothic-related rank-3 ==<br /> [[Bryan Deister]] has demonstrated a [[7L&amp;nbsp;5s]] (step ratio 10:3) Lumatone mapping for [[85edo]] in [https://www.youtube.com/shorts/DbVsxzfKr7I &#039;&#039;microtonal improvisation in 85edo&#039;&#039;] (2025). The rightward generator 10\85 is a slightly sharp lesser tridecimal neutral second ~[[13/12]]; as in [[17edo]], which 85edo quintuples (thereby making it a tuning of [[17th-octave_temperaments#Gothic|Gothic]] temperament), two of them make the moderately flat minor third ~[[20/17]], while three of them make the moderately sharp major third ~[[23/18]]; likewise, five of them make the slightly sharp perfect fifth ~[[3/2]]. Without a second generator, this would contort under 17edo; the down-right generator 3\85 itself does not have a very convenient ratio (the nearest simple ratio being ~[[41/40]], although this is near-just). But three of them make a near-just tridecimal supraminor second ~[[14/13]]; and seven of them make the near-just octave-reduced 19th harmonic ~[[19/16]]. The range is just over three octaves, with no missed notes and no duplicated notes; the octaves slant down moderately<br /> {{Lumatone EDO mapping|n=85|start=1|xstep=10|ystep=-7}}<br /> <br /> {{Navbox Lumatone}}</div>

Lucius Chiaraviglio