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

== Whitewood + Sensi/Sentry Lumatone mappings ==

=== 35edo (demonstrated to work but awaiting approval) ===

[[Bryan Deister]] has used a [[whitewood]] mapping for [[35edo]] which also functions for an [[3L&nbsp;5s]] scale (5:4 step ratio) for a 2.5/3.9/7 version of [[sensi]] temperament ([[subgroup_temperaments#Sentry|sentry]]), or a 2.3.5.13 version of it if using the 35f [[val]], in [https://www.youtube.com/shorts/AvIGI8TG9_8 ''<nowiki>Whistling Like An Oberon - 35edo [short 2]</nowiki>''] (2026). The very sharp major third generator 13\35 (one key right plus two keys down-right) can be taken as 9/7 in the former version of the temperament ([[fractional subgroup]]), or as 13/10 in the latter version (35f). The range is the range is just over 4½ octaves, which slope upwards with the rows (as expected for a whitewood mapping).

{{Lumatone EDO mapping|n=35|start=23|xstep=5|ystep=-1}}

Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 22:59, 11 January 2026 (UTC)<br>

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:26, 11 January 2026 (UTC)

 

[[Bryan Deister]] has demonstrated a [[11L&nbsp;5s]] (7:2 step ratio) mapping for [[87edo]] in [[https://www.youtube.com/shorts/rINJKiMQE78 ''Circuit Bent - Stomach Book (microtonal cover in 87edo)''] (2025). The generator 14\87, which is two keys right from the root note, 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 &mdash; the syntonic comma [[81/80]] is not tempered out, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) Since this interval is two keys right instead of just one (as needed to avoid missing notes), this version of the temperament can be viewed as a split generator version, in which each ~19/17 is split into two equal intervals that function as both a small septendecimal semitone ~[[18/17]] and a large undevicesimal semitone ~[[19/18]], both being close to just (and the photisma [[324/323]] is tempered out). Although no second generator is needed to reach all of the notes, for convenience, down-right by one key (2\87) can be used for convenience as a second generator that functions as ~[[49/48]] (inconsistently mapped), ~[[55/54]], ~[[64/63]], ~[[65/64]], and ~[[81/80]], of which the septimal chroma ~64/63 is near-just, and four of these make a near-just classic diatonic semitone ~[[16/15]] (the currently unnamed unnoticeable comma [[5250987/5242880]] is tempered out). The range is somewhat over two octaves (which slant very slightly downwards) with no missed notes and some repeated notes to mitigate vertical wraparounds.

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:13, 18 November 2025 (UTC)

=== 49edo (proposed but untested) ===

Here is a forward chroma [[4L&nbsp;5s]] (gramitonic, 6:5 step ratio) mapping for [[49edo]]. This mapping gets all notes in each octave and has a range of a bit over 4 octaves. Apart from straight right (forward chroma version) or straight down-right (reverse chroma version, the most accessible generator is 11\49, which is a near-just septimal minor third ~[[7/6]]. This would suggest [[Orwell]], except that the septimal minor third of 67edo is too close to just for actual Orwell temperament, and so a stack of it manages to miss all of the intervals characteristic of Orwell, other than a fairly flat classic minor sixth ~[[8/5]]. Instead, this yields [[Orwellismic_temperaments#Infraorwell|Infraorwell]].

{{Lumatone EDO mapping|n=49|start=35|xstep=6|ystep=-1}}

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:21, 9 November 2025 (UTC)