User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions
→49edo (demonstrated to work): 11\49 is not quite near-just in 49edo |
→Neutral Thirds (compressed) Lumatone mappings: Got approval for 17edo |
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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) | ||
== Neutral Thirds (compressed) Lumatone mappings == | |||
=== 17edo (demonstrated to work) === | |||
A neutral thirds Lumatone mapping of intermediate compression is available for [[17edo]], with a [[3L 1s]] scale having a 5:2 step ratio, as shown in [[Bryan Deister]]'s [https://www.youtube.com/shorts/0sQ3Hk02s04 ''17edo improv''] (2026-08-10). The range is just under 8½ octaves, with the octaves close enough to level and just not quite enough repeated notes to split this layout into two complete manuals. | |||
{{Lumatone EDO mapping|n=17|start=2|xstep=5|ystep=-3}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:22, 11 August 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:13, 15 August 2026 (UTC) | |||
== Fog-Related Neutral Seconds Lumatone mappings == | |||
=== 63edo (demonstrated to work) === | |||
In [[63edo]], it is possible to divide the octave into three parts, each 21\63 being a mildly sharp fwiwismic major third ~[[44/35]] (or more accurately but less practically, a near-just undetricesimal major third ~[[29/23]]), with a [[3L 3s]] scale (13:8 step ratio), similar to [[Misty_family#Fog|fog]]. Unlike actual fog, the generator is a slightly flat undecimal neutral second ~[[12/11]], with the layout being designed for easy access to intervals that are close to common consonant intervals, but different (including the generator itself). The range is over five octaves, which is too much to include all of the notes in a standard-sized Lumatone. Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/NwcS36rurOI ''63edo improv''] (2026-08-03), with the xenharmonic intervals forming a sound flavor that seems both Gaelic and Middle-Eastern. | |||
{{Lumatone EDO mapping|n=63|start=42|xstep=8|ystep=5}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:03, 9 August 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:15, 10 August 2026 (UTC) | |||
== Sevond-related Lumatone mappings == | |||
=== 63edo (demonstrated to work) === | |||
Since [[63edo]] is a multiple of 7edo, it can be used with a mapping that divides the octave into seven parts in the manner of [[whitewood]], but with more accuracy due to having a much better fifth; in this case, the actual temperament is related to [[sevond]], but unlike actual sevond, it uses a near-just septimal minor second ~[[7/6]] as its generator, which is 1/7-octave-reduced from 14\63 to 5\63. The 1/7-octave (9\63) is mapped most practically as a slightly flat undevicesimal submajor second ~[[21/19]], resulting in the reduced generator (5\63) being a slightly sharp large undevicesimal semitone ~[[19/18]]. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/SQsDGSmEVQw ''63edo double improv''] (2026). The range is 4⅓ octaves (with only one repeated note in each octave), which slope upwards with the rows. | |||
{{Lumatone EDO mapping|n=63|start=59|xstep=9|ystep=-4}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:41, 6 August 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:49, 10 August 2026 (UTC) | |||
== Kleismic + Würschmidt Lumatone mappings == | |||
=== 34edo (demonstrated to work) === | |||
It is possible to accommodate both [[kleismic]] (stacking classic minor thirds) and [[würschmidt]] (stacking classic major thirds) temperaments in a [[34edo]] mapping by using a rotated [[3L 1s]] scale (9:7 step ratio), as demonstrated in [https://www.youtube.com/watch?v=JKblQe375pw ''34edo bossa''] (2026). This mapping puts both the classic minor third ~[[6/5]] and the classic major third ~[[5/4]] (both just slightly sharp) right next to both the root note and the fifth ~[[3/2]], as 9\34 (one key down-right) and 11\34 (one key right), respectively. This comes at the cost of missing some notes (including some instances of note 0) due to trying to get too much range (close to ten octaves) to fit them all on a standard-sized Lumatone, as well as causing the octaves to alternate between near and far. (Note that in the demo video, the range appears far less due to mapping of only a single MIDI channel.) | |||
{{Lumatone EDO mapping|n=34|start=21|xstep=11|ystep=-2}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 01:35, 19 July 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:02, 5 August 2026 (UTC) | |||
== Amity Lumatone mappings == | == Amity Lumatone mappings == | ||
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== Neutral Thirds (Compressed) Lumatone mappings == | == Neutral Thirds (Compressed) Lumatone mappings == | ||
=== 17edo (demonstrated to work) === | |||
It is possible to compress neutral thirds for [[17edo]] down to a [[1L 2s]] scale with a 7:5 step ratio, (or with a bit of backtracking, [[3L 1s]] with a 5:2 step ratio), as shown in [[Bryan Deister]]'s [https://www.youtube.com/shorts/8o8bxgzqr5U ''17edo improv''] (2026-07-21). The octaves slope downwards gently, with the range including eleven complete octaves (although it appears less in the demo video due to mapping to just one MIDI channel), making it tempting to divide this layout horizontally into zones for different instruments. | |||
{{Lumatone EDO mapping|n=17|start=8|xstep=5|ystep=2}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:26, 23 July 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:47, 27 July 2026 (UTC) | |||
=== 24edo (demonstrated to work) === | === 24edo (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) | ||
== Semisept Lumatone mappings == | |||
=== 49edo (demonstrated to work) === | |||
An alternative to [[infraorwell]] for [[49edo]] (using 11\49 as a mildly sharp ~[[7/6]]) is to take the octave complement (38\49 as a mildly flat septimal major sixth ~[[12/7]]) and split it in half, to get a 19\49 as a near-just undecimal sub-fourth ~[[72/55]] (constituted from a numerator and denominator having huge errors that nearly cancel out), producing a [[5L 3s]] scale with an 8:3 step ratio. This is an oneirotonic scale of which the large steps sound deceptively diatonic (being only moderately flat of a direct-mapped Pythagorean whole tone ~[[9/8]]), as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/watch?v=aNswQ1-1nlM&list=WL&index=275 ''<nowiki>Prelude in 49edo [short clip]</nowiki>''] (2026). The range is nearly 4⅔ octaves, which slope down mildly, with no missed notes and only a few repeated notes. | |||
{{Lumatone EDO mapping|n=49|start=4|xstep=8|ystep=-5}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:32, 16 July 2026 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 14:53, 21 July 2026 (UTC) | |||
== Sensei Lumatone mappings == | == Sensei Lumatone mappings == | ||