User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings: Difference between revisions
→72edo (demonstrated to work but awaiting approval): Add step number for down-right generator, and then insert Bryan Deister's Lumatone mapping for 94edo after this (temperament Kleischismic, Garibaldi, and Cassandra, but this mapping is temporarily stuck here pending a comprehensive reorganization) |
→36edo (demonstrated to work but awaiting approval): Got approval; add temperament and ergonomics description |
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Due to the dreaded "template include too large" error, moved the Valentine Lumatone mappings here from the main [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab|Keyboard Layout Lab]] page. | Due to the dreaded "template include too large" error, moved the Valentine Lumatone mappings here from the main [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab|Keyboard Layout Lab]] page. | ||
== Various | == Moved Lumatone mappings == | ||
Unnamed rank-3 temperament Lumatone mappings for 91edo and 93edo moved to [[User:Lucius Chiaraviglio/Keyboard_Layout_Lab/Various_rank-3_temperament_Lumatone_mappings|Keyboard Layout Lab/Various rank-3 temperament Lumatone mappings]]. | |||
Moved: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:20, 21 June 2025 (UTC) | |||
== Amity Lumatone mappings == | |||
=== 99edo (proposed and untested) === | |||
Since [[99edo]] falls on the [[Amity]] temperament line, it is tempting to use the generator 7\99 functioning as a near-just ~[[21/20]] as in the [[Amity_family#Amicable|Amicable]] extension, but with the octave split into three equal parts, giving a [[12L 3s]] scale with 7:5 step ratio. The range is a bit over two octaves, slanting up mildly, with no missed notes and a few repeated notes to assist with vertical wraparounds. Relative to the mappings for [[Würschmidt]] and its extensions, the Amicable mapping has the advantage that the layout is less lopsided, but the disadvantage that stacking generators does not hit good ratios at low numbers of generators. | |||
{{Lumatone EDO mapping|n=99|start=93|xstep=7|ystep=-2}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:44, 23 July 2025 (UTC) | |||
== Compressed Neutral Thirds Lumatone mappings == | |||
=== 24edo (demonstrated to work) === | |||
[[Bryan Deister]] has used the [[3L 1s]] layout for [[24edo]], as demonstrated in [http://www.youtube.com/shorts/ZnAl6EN_wq4 In Your Hands (microtonal 24edo) (alt layout)] (2024). The octaves rise just slightly while moving to higher pitches, and the range is somewhat over eight octaves. Although rotated left from the usual orientation, the notes of a standard diatonic scale (within each ring of fifths) are within easy reach of each other. | |||
{{Lumatone EDO mapping|n=24|start=2|xstep=7|ystep=-4}} | |||
Added to official [[Lumatone mapping for 24edo]] page; [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:33, 17 November 2024 (UTC)<br> | |||
Copied here from Lumatone mapping for 24edo page: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:44, 9 July 2025 (UTC) | |||
== Machine Lumatone mappings == | |||
=== 28edo (demonstrated to work) === | === 28edo (demonstrated to work) === | ||
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Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:35, 26 March 2025 (UTC)<br> | Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:35, 26 March 2025 (UTC)<br> | ||
Last Modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:39, 29 March 2025 (UTC) | Last Modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:39, 29 March 2025 (UTC) | ||
Moved here from Various Kit-Bashed Lumatone mappings: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:35, 23 July 2025 (UTC) | |||
== Lesser Tendoneutralic Lumatone mappings == | |||
=== 67edo (demonstrated to workl) === | |||
[[Bryan Deister]] has demonstrated a [[7L 3s]] (7:6 step ratio) layout for [[67edo]] that uses the tempering out of the [[Lesser tendoneutralisma]] (70368744177664/69894255367443, more conveniently described as {{nowrap|{{!}}46 -1 0 0 0 -12⟩}}), in [https://www.youtube.com/shorts/uwxey9_jINA ''microtonal improvisation in 67edo''] (2025). The underlying generator of the temperament is two steps right and one step down-right on the keyboard, which is 20\67, which is a near-just ~[[16/13]] (octave-reduced 13th subharmonic). Twelve of these are tempered together to make ~[[12/1]], which is then octave-reduced to the twelfth ~[[3/1]], and thence to the fifth ~[[3/2]]. The range is a bit under 3⅓ octaves, and the octaves are almost level, having a barely perceptible downward slant. Although very efficient, this mapping takes a very xenharmonic approach 67edo — the notes of a complete [[meantone]] diatonic scale are not situated for easy access (being widely spaced vertically and always requiring a vertical wraparound to play the complete diatonic scale). | |||
{{Lumatone EDO mapping|n=67|start=50|xstep=7|ystep=-1}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:56, 29 July 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:52, 30 July 2025 (UTC) | |||
== Pseudo-Meantone Lumatone mappings == | |||
=== 63edo (demonstrated to work) === | |||
[[Bryan Deister]] has demonstrated a [[6L 1s]] (10:3 step ratio) mapping for [[63edo]] in [https://www.youtube.com/shorts/IYLzF4ogl_w ''microtonal improvisation in 63edo''] (2025). The generator 10\93 is the quasi-meantone ~[[19/17]], which is composed of highly inaccurate harmonics whose errors nearly cancel out, rendering it just slightly flat; two of them make a somewhat flat classic major third ~[[5/4]]. (In contrast to actual [[meantone]] temperament, 63edo represents ~19/17, ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) Although 10\63 can reach all of the notes of 63edo without the need for a second generator, a second generator 7\63 (upward, as a tridecimal supraminor/neutral second that functions as both ~[[13/12]] and ~[[14/13]]) is convenient for quick access to additional common intervals — for instance, three rightward generators plus one upward generator reach the just slightly sharp fifth ~[[3/2]]; while five rightward generators minus one upwards generator reach a mildly sharp minor sixth ~[[8/5]]. The range is somewhat over four octaves (which slant up mildly) with no missed notes and no repeated notes. | |||
{{Lumatone EDO mapping|n=63|start=6|xstep=10|ystep=-7}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:52, 23 July 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:44, 27 July 2025 (UTC) | |||
== Semaphore/Semiquartal Lumatone mappings == | |||
=== 24edo (demonstrated to work) === | |||
[[Bryan Deister]] has used the [[4L 1s]] layout (with 5:4 step ratio) for [[24edo]], as demonstrated in [https://www.youtube.com/shorts/Mjzfb_-3kS4 ''24edo jam''] (2025). As expected, the rightward generator 5\24 functions as ~[[15/13]] and ~[[22/19]] (being in between these, and representing both highly accurately), and as expected, is half of a fourth (~[[4/3]], also represented highly accurately); four of them function as ~[[9/5]] and ~[[16/9]], and five of them with octave reduction produce the slightly flat al-Farabi quarter tone (~[[33/32]]) that 24edo is famous for. The range is just under six octaves, although only just over five are shown in the video due to use of just one MIDI channel (128 notes). Duplication of notes helps with ease of use, but is slightly short of the extent needed for splitting this layout into two manuals. The octaves slant upwards slightly. | |||
{{Lumatone EDO mapping|n=24|start=18|xstep=5|ystep=-1}} | |||
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) | |||
== Slendric == | |||
=== 36edo (demonstrated to work) === | |||
[[Slendric]] mappings for [[36edo]] use the very accurate (just slightly sharp) septimal whole tone ~[[8/7]] as the generator, and three of these make the very accurate (just slightly flat) fifth ~[[3/2]] (the gamelisma [[1029/1024]] being tempered out). This achieves a range a bit over six octaves with no missing notes and some repeated notes to mitigate vertical wraparounds. A [[5L 1s]] (7:1 step ratio) version of the Slendric mapping uses a large chroma (thus making a very hard version of this scale), and achieves octaves that only slope up moderately while still having the notes of the standard diatonic scale still easily accessible, although rotated from their customary orientation. Offset strings of [[6edo]] are now compact upwards key sequences, which may be useful for playing divided-octave temperaments, although more likely to pass through a vertical wrapround than in a reverse-chroma mapping. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/watch?v=psvrsa10-Wo ''36edo jam''] (2025)]. | |||
{{Lumatone EDO mapping|n=36|start=9|xstep=7|ystep=-6}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:46, 7 August 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:52, 10 August 2025 (UTC) | |||
== Würschmidt Lumatone mappings == | |||
=== 65edo (demonstrated to work) === | |||
[[Bryan Deister]] has used the [[9L 2s]] (7:1 step ratio) mapping for [[65edo]] in [https://www.youtube.com/shorts/W5PXWFduPco ''microtonal improvisation in 65edo''] (2025). The rightward generator 7\65 is a slightly flat acute minor second ~[[27/25]], and three of these make a near-just classic major third ~[[5/4]]; in turn eight classic major thirds (21\65) make a near-just 6th harmonic ~[[6/1]], qualifying this for [[Würschmidt]] temperament, or an extension thereof that divides the Würschmidt generator into three equal parts, but using ~27/25 instead of the tridecimal supraminor second ~[[14/13]], which technically maps to the same interval in 65edo, but is composed of a very flat 7th harmonic and a very sharp 13th harmonic and is thus subject to wart adjustment to another interval for consistency improvement. The range is somewhat under three octaves, and the octaves slant up mildly, with some repeated notes to ease vertical wraparounds. | |||
{{Lumatone EDO mapping|n=65|start=10|xstep=7|ystep=-6}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:35, 21 July 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:29, 26 July 2025 (UTC) | |||
=== 99edo (2 mappings demonstrated to work) === | |||
The Würschmidt generator, which is the classic major third ~[[5/4]] (near-just), is 32\99 in [[99edo]], so it is divisible by 2 or 4 but not by 3 (seen with [[65edo]]. Division by 2 to get 16\99 yields [[Hemimean_clan#Hemiwürschmidt|Hemiwürschmidt/Würschmidt/Hemiwur]] with a slightly flat septimal) middle whole tone ~[[28/25]] for the divided generator, with a scale [[6L 1s]] (16:3 step ratio). This mapping only splits the [[Würschmidt]] in half to get greater range (over four octaves) than when splitting it in quarters, but at the cost of missing many notes in each octave. Despite the missing notes, [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/p9OUaFuTUek ''99edo waltz''] (2025). | |||
{{Lumatone EDO mapping|n=99|start=40|xstep=16|ystep=-13}} | |||
Division of the generator by 2 again (for 4 overall) yields a further extension that uses this mapping's rightward generator 8\99 as a slightly sharp ptolemaic chromatic semitone (major limma) ~[[135/128]], with a scale [[12L 3s]] (8:1 step ratio), implying that the octave is also divided into three equal parts. As befits Würschmidt, eight classic major thirds (32\65) make a near-just 6th harmonic ~[[6/1]]. The range is just over two octaves, and the octaves slant up mildly, now with no missing notes and some repeated notes to ease vertical wraparound. Compared to the [[Amity]] ([[Amity family#Amicable|Amicable]]) mapping with split period, this mapping is more lopsided with the hard scale step ratio, but on the other hand gets some consonant ratios with only a few generator steps. [[Bryan Deister]] has experimented with this mapping, but no demonstration video is available yet (as of 2025-07-24). | |||
{{Lumatone EDO mapping|n=99|start=12|xstep=8|ystep=-7}}<br> | |||
{{Lumatone EDO mapping|n= | |||
First mapping added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:55, 6 July 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) | Second mapping added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:32, 22 July 2025 (UTC)<br> | ||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:57, 24 July 2025 (UTC) | |||
== Various Kit-Bashed Lumatone mappings == | |||
These Lumatone mappings were not created for a particular temperament, but as experiments in modifying the Lumatone mapping of one EDO to work for a nearby size without regard to whether they have any temperaments in common. | |||
Moved 28edo up to new Machine Lumatone mappings section on this page; moved 30edo to Rank-3 Lumatone mappings page: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:35, 23 July 2025 (UTC) | |||
== Various Unnamed Temperament Lumatone mappings == | == Various Unnamed Temperament Lumatone mappings == | ||
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Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:07, 12 May 2025 (UTC) | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:07, 12 May 2025 (UTC) | ||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 17:43, 31 July 2025 (UTC) | |||
=== 91edo pseudo-isomorphic (demonstrated to work) === | |||
[[Bryan Deister]] has demonstrated a pseudo-isomorphic mapping for [[91edo]] in [https://www.youtube.com/shorts/HaYUAg30298 ''microtonal improvisation in 91edo''] (2025). This layout is numbered as for [[92edo]], but note 91 is actually a duplicate of note 0. The range is just one note short of 3 full octaves, with octaves sloping down gently, unlike the fully isomorphic version below, which avoids the interruption from the duplicated note 0 and has slightly greater range, but at the cost of greater (and opposite) octave slope and a vertical wraparound of note 0 with ascending octaves (as well as producing a discontinuity in scales). This mapping has the same generators as the fully isomorphic version, as described below. | |||
{{Lumatone EDO mapping|n=92|start=0|xstep=9|ystep=-4}} | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 16:02, 4 June 2025 (UTC)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:54, 8 June 2025 (UTC) | |||
=== 92edo (demonstrated to work) === | |||
[[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]]. The first note 0 can be placed in the lower left corner (as actually used in the demonstration video) to avoid having a little piece of an octave before it, but this results in a vertical wraparound of the octaves, which slant down moderately (over the range of slightly over 2¼ octaves). | |||
Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) | {{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)<br> | |||
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:28, 4 June 2025 (UTC) | |||
=== 97edo (demonstrated to work) === | === 97edo (demonstrated to work) === | ||
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Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:51, 26 May 2025 (UTC)<br> | Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:51, 26 May 2025 (UTC)<br> | ||
Restored: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 13:24, 28 May 2025 (UTC) | Restored: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 13:24, 28 May 2025 (UTC) | ||
== Harry, Marvel, and Miracle Lumatone mappings == | |||
These have proliferated due to the Lumatone wizardry of [[Bryan Deister]], and had to be moved to their own [[User:Lucius Chiaraviglio/Keyboard Layout Lab/Marvel and Miracle Lumatone mappings|Marvel and Miracle Lumatone mappings]] page. | |||
Contents moved to separate page: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:06, 31 May 2025 (UTC) | |||
== Diatonicized Chromaticism + Kleischismic + Cassandra (Garibaldi) Lumatone mappings == | |||
Contents moved to main [[User:Lucius Chiaraviglio/Keyboard Layout Lab|Keyboard Layout Lab]] page now that reorganization has freed up enough space there. | |||
Contents moved to separate page: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:17, 31 May 2025 (UTC) |