User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions
→Aureus Pseudo-Meantone Lumatone mappings: Insert Bryan Deister's Lumatone mapping for 37edo (which is also for Mediantone/Roulette/Hemiwürschmidt/Hemiwur) after this; also fix typo in 87edo mapping |
→Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings: →Sensei Lumatone mappings: Move these to their proper places |
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Moved: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:20, 21 June 2025 (UTC) | Moved: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:20, 21 June 2025 (UTC) | ||
== Amity Lumatone mappings == | == Amity Lumatone mappings == | ||
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== Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings == | == Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings == | ||
=== 37edo (demonstrated to work | === 37edo (demonstrated to work) === | ||
[[Bryan Deister]] has demonstrated a [[6L 1s]] (6:1 step ratio) mapping for [[37edo]] in [https://www.youtube.com/shorts/Jt6_r6r3lGY ''37edo improv''] (2026). This mapping functions as an aureus pseudo-meantone mapping; this functions for temperaments [[mediantone]], [[roulette]], [[hemiwürschmidt]], and [[hemiwur]]; it has a generator 6\37 that functions as both a slightly sharp quasi-meantone ~[[19/17]] and a slightly flat septimal middle whole tone ~[[28/25]]. (In contrast to actual [[meantone]] temperament, 37edo represents ~19/17 (or 28/25), ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, but inflated to 2\37, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) The range is a bit under 4½ octaves, and the octaves slope upwards moderately. | [[Bryan Deister]] has demonstrated a [[6L 1s]] (6:1 step ratio) mapping for [[37edo]] in [https://www.youtube.com/shorts/Jt6_r6r3lGY ''37edo improv''] (2026). This mapping functions as an aureus pseudo-meantone mapping; this functions for temperaments [[mediantone]], [[roulette]], [[hemiwürschmidt]], and [[hemiwur]]; it has a generator 6\37 that functions as both a slightly sharp quasi-meantone ~[[19/17]] and a slightly flat septimal middle whole tone ~[[28/25]]. (In contrast to actual [[meantone]] temperament, 37edo represents ~19/17 (or 28/25), ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, but inflated to 2\37, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) The range is a bit under 4½ octaves, and the octaves slope upwards moderately. | ||
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{{Lumatone EDO mapping|n=37|start=12|xstep=6|ystep=-5}} | {{Lumatone EDO mapping|n=37|start=12|xstep=6|ystep=-5}} | ||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 00:07, 4 May 2026 (UTC) | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 00:07, 4 May 2026 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:29, 6 May 2026 (UTC) | |||
== Baldy Lumatone mappings == | == Baldy Lumatone mappings == | ||
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== Infraorwell Lumatone mappings == | == Infraorwell Lumatone mappings == | ||
=== 49edo === | === 49edo (demonstrated to work) === | ||
The septimal minor third ~[[7/6]] (11\49) of [[49edo]] is near-just, which suggests its use as a generator, as in [[Orwell]]; however, it is too close to just for actual Orwell eemperament, 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]] — hence [[Orwellismic_temperaments#Infraorwell|infraorwell]]. It is possible to produce a forward chroma [[4L 5s]] (gramitonic, 6:5 step ratio) infraorwell mapping for 49edo, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/watch?v=7pK-JcIrd18 Deltarune – ''Man'' (cover)] (2023) and (very differently) in [https://www.youtube.com/shorts/V8t7MyP2Nuo ''microtonal improv in 49edo''] (2024). This mapping gets all notes in each octave and has a range of a bit over 4 octaves with repeated notes to mitigate vertical wraparounds; the octaves alternate between near/far and middle, with double octaves sloping slightly upwards. | |||
{{Lumatone EDO mapping|n=49|start=33|xstep=6|ystep=-1}} | |||
( | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:58, 8 November 2025 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:40, 21 April 2026 (UTC) | |||
=== 67edo (2 mappings demonstrated to work) === | === 67edo (2 mappings demonstrated to work) === | ||
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Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 17 July 2025 (UTC)<br> | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 17 July 2025 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:35, 21 July 2025 (UTC) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:35, 21 July 2025 (UTC) | ||
== Sensei Lumatone mappings == | |||
=== 84edo (demonstrated to work) === | |||
It is possible to map [[84edo]] using a supermajor third as a generator, as in [[sensei]] temperament. The generator 31\84 is two keys right plus one key down-right, and it functions as a flat ~[[162/125]] in the 5-limit, as a near-just ~[[84/65]] in the 13-limit, as a somewhat flat septendecimal ultramajor third ~[[22/17]] in the 17-limit (requires use of the 84e val to map correctly), and as a slightly sharp ~[[49/38]] in the 19-limit. Two of these generators make a near-just classic major sixth ~[[5/3]]; five of them make a somewhat flat classic minor seventh ~[[9/5]]; seven of them make a near-just (slightly flat) fifth ~[[3/2]]; and nine of them make a near-just classic major third ~[[5/4]]. Unfortunately, the [[3L 5s]] scale (13:9 step ratio) mapping tries to get too many octaves (four) for mapping a tuning system this large on the currently available version of the Lumatone, so it misses some notes in each octave; furthermore, the octaves slope down mildly. Despite the missing notes [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/Qu6UIA2NmmQ ''84edo groove''] (2026). | |||
{{Lumatone EDO mapping|n=84|start=67|xstep=9|ystep=4}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:04, 10 May 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:02, 28 May 2026 (UTC) | |||
== Sephiroth + Variant Orwell + Meansquared Lumatone mappings == | == Sephiroth + Variant Orwell + Meansquared Lumatone mappings == | ||
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Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:32, 27 August 2025 (UTC)<br> | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:32, 27 August 2025 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:24, 29 August 2025 (UTC) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:24, 29 August 2025 (UTC) | ||
== Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings == | |||
=== 51edo (demonstrated to work) === | |||
One way of treating [[51edo]] is as three versions of [[17edo]], rearranged so as to divide the fifth and the octave also into three parts each, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/watch?v=k3NOBYbiqpo ''51edo improv''] (2026-04-22). This is very much like [[landscape]] temperament in equating the octave with a stack of three near-just quasi-tempered major thirds (~[[63/50]], as 17\51), but requires use of the 2.3.25.7 subgroup; division of the fifth (~[[3/2]], as 30\51) into three parts (slightly sharp septimal major seconds ~[[8/7]], as 10\51) also puts this temperament in the [[gamelismic clan]] (thus related to [[tritikleismic]], but again using the 2.3.25.7 subgroup). The obvious scale moving up and right is [[3L 3s]] (10:7 step ratio); the obvious scale moving right and down-right is [[9L 4s (4/1-equivalent)]] (10:3 step ratio); the upward and downward movements in the latter scale nearly cancel out so that while octaves alternate between far and near, double octaves just barely slope down. The range is 5¼ octaves with no missed notes and no repeated notes. | |||
{{Lumatone EDO mapping|n=51|start=4|xstep=10|ystep=-7}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:02, 28 May 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 02:05, 30 May 2026 (UTC) | |||
== Whitewood + Bohpier Lumatone mappings == | == Whitewood + Bohpier Lumatone mappings == | ||