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User:Lucius Chiaraviglio/Keyboard Layout Lab: Difference between revisions

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→Bison + Hemikleismic + Divination + Hocus Lumatone mappings: Insert Bison Lumatone mappings before this, starting with Bryan Deister's Lumatone mapping for 46edo
→Blackwood + Whitewood Lumatone mappings: Insert Niner + Diminished Lumatone mappings after this (temporarily moved up for visibility), starting with Bryan Deister's Lumatone mapping for 36edo
 
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Moved here from [[User:Lucius Chiaraviglio/Musical Mad Science|Musical Mad Science]]:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:54, 28 March 2025 (UTC)
Moved here from [[User:Lucius Chiaraviglio/Musical Mad Science|Musical Mad Science]]:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:54, 28 March 2025 (UTC)
== Blackwood + Whitewood Lumatone mappings ==
=== 35edo (demonstrated to work but awaiting approval) ===
A flipped version of the [[5L 5s]] (5:2 step ratio) [[blackwood]] + [[whitewood]] mapping is possible. The octaves slope upwards with the rows (as expected for blackwood mappings), and the range is a bit under 5½ octaves with no missed notes and a moderate allocation of repeated notes to mitigate vertical wraparounds. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/watch?v=x8doWEgXMCY ''35edo improv''] (2026).
{{Lumatone EDO mapping|n=35|start=3|xstep=7|ystep=-5}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:04, 9 June 2026 (UTC)
== Niner + Diminished Lumatone mappings ==
=== 36edo (demonstrated to work but awaiting approval) ===
It is possible to use the [[blackwood]] + [[whitewood]] mappings of [[35edo]] as inspiration for mapping [[36edo]] as a lattice, using its factors of closest size to those of 35edo, which are 4 and 9, as in [[niner]] + [[Diminished_(temperament)|diminished]] temperaments, with a [[4L 4s]] scale of step ratio 5:4 running right and down. Similarly to blackwood and whitewood, the octaves slope upwards with the rows, but even so the mapping works to give 5 octaves with a decent allocation of repeated notes to mitigate vertical wraparounds, with no missed notes except for one missed note 35 in the top otherwise contiguous octave. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/KCtEYSkEK8U ''36edo improv''] (2026).
{{Lumatone EDO mapping|n=36|start=2|xstep=4|ystep=5}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:10, 9 June 2026 (UTC)
== Amavil Lumatone mappings ==
=== 43edo (demonstrated to work) ===
It is possible to use a [[7L 2s]] (5:4 step ratio) superdiatonic mapping with [[43edo]], as in [[mavila]]. Mavila itself is not a high-accuracy tuning, but it has some relatives that are high-accuracy — in this case, [[amavil]], of the [[mabila family]]. As with mavila, it uses a sub-fifth as its generator, in this case 24\43; however, unlike actual mavila, the generator is explicitly defined as something other than the fifth, which is instead left at the most accurate mapping 43edo has to offer for ~[[3/2]] (at 25\43). Instead, the sub-fifth is mapped as a mildly flat undecimal diminished fifth ~[[22/15]]. After octave-reduction, three of them make a somewhat flat classic minor sixth ~[[8/5]]; four of them make a subminor third that functions as ~[[7/6]] (sharp), ~[[13/11]] (flat), and ~[[20/17]] (diatismic minor third, close to just, only slightly sharp); six of them make a near-just pentacircle major third ~[[14/11]]; seven of them make a near-just classic major seventh ~[[15/8]]; eight of them make a moderately flat undecimal major fourth ~[[11/8]]; and ten of them make the moderately flat perfect fifth ~[[3/2]]. The range is about 3¾ octaves, which slope mildly upwards, with a generous allotment of repeated notes to mitigate vertical wraparounds.
{{Lumatone EDO mapping|n=43|start=34|xstep=5|ystep=-1}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 04:03, 27 May 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 01:45, 30 May 2026 (UTC)
== Ammonite + Gariberttet + Porcupinefish Lumatone mappings ==
=== 37edo (2 mappings) ===
Alternatives to the [[Porcupine]] mapping for [[37edo]] that stay in the same temperament clan are the [[Porcupine_family#Ammonite|ammonite]]/[[Porcupine_family#Porcupinefish|porcupinefish]] [[3L&nbsp;2s]] (9:5 step ratio) mappings, which also function for [[Subgroup_temperaments#Gariberttet|gariberttet]] (as 37b). The generator for ammonite is 14\37, easily available as one key right plus one key down-right in both versions of this mapping; it functions as a near-just Barbados third (tridecimal semisixth, ~[[13/10]]). The generator for porcupinefish is 5\37, easily available as one key down-right (forward chroma) or one step right (reverse chroma); it functions as an undecimal neutral second (a slightly flat ~[[11/10]] and a sharp ~[[12/11]], tempering out the biyatisma [[121/120]], thus enabling two of these generators to make a sharp classic minor third ~[[6/5]]). The generator for gariberttet is 9\37, easily available as one key right (forward chroma) or one key down-right (reverse chroma); it functions as a near-just tridecimal minor third (~[[13/11]]).
==== Forward chroma (demonstrated to work) ====
The range is a bit under 7½ octaves, which slope down mildly, with no repeated notes and no missed notes. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/mVRbcB2hoBU ''37edo prelude''] (2026).
{{Lumatone EDO mapping|n=37|start=0|xstep=9|ystep=-4}}
==== Reverse chroma (proposed and untested) ====
The total range is just short of eight octaves, but while the middle octaves have no missing notes and a few repeated notes to mitigate vertical wraparounds, the first and last octaves have many notes chopped off at the edges, and the octaves slope down enough to incur a vertical wraparound. Currently, no demo video is available for this mapping.
{{Lumatone EDO mapping|n=37|start=0|xstep=5|ystep=4}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 14:33, 14 February 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:16, 18 February 2026 (UTC)
== Augene Lumatone mappings ==
=== 27edo (demonstrated to work) ===
[[Bryan Deister]] has demonstrated an [[Augene]] [[3L&nbsp;3s]] (7:2 step ratio) mapping for [[27edo]], in [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025). The demo video takes the ⅓-octave period very literally, assigning the same color to all notes of a given position within the ⅓-octave, which are all in the same row (which thereby constrains the octaves to slope upwards with the rows). The generator can be taken as 2\27 (down-right), functioning as a sharp large undevicesimal semitone ~[[19/18]] tempered together with several other intervals, including a very flat classic diatonic semitone ~[[16/15]]); or as 7\27 (up, functioning as a highly sharp but still consistent otonal minor third ~[[19/16]] tempered together with a slightly flat classic minor third ~[[6/5]]). Some repeated notes are present to help mitigate vertical wraparounds (needed since the octaves slope up as noted above). Depending upon positioning of the root note, the range can be taken (as shown here) to be eight octaves of which all but the bass and treble octaves have all notes represented, while the bass octave is missing its note 4 and the trebel octave is missing its note 25 and the note 0 that begins the next octave; or as slightly over nine octaves of which the bass octave misses many notes but the rest have all notes represented at least once.
{{Lumatone EDO mapping|n=27|start=11|xstep=9|ystep=-7}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:49, 12 September 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:30, 16 December 2025 (UTC)


== Augmented + Immunity Lumatone mappings ==
== Augmented + Immunity Lumatone mappings ==
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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:50, 1 May 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:50, 1 May 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 2 May 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 2 May 2025 (UTC)
== Augmented (August) Lumatone mappings ==
=== 21edo (demonstrated to work) ===
It is possible to use [[21edo]] for some types of blues music, taking advantage of its highly accurate [[7/1|7th harmonic]], as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/watch?v=1S4C-m_Dcno ''21edo improv''] (2026). The mapping for this uses a sharp septimal minor third ~[[7/6]] as a generator with the octave divided in to three parts as a sharp classic major third ~[[5/4]], making this an [[augmented_(temperament)|augmented temperament]] mapping of the flat fifth ([[august]]) variety, with scales [[3L&nbsp;3s]] proceeding right and down-right and [[8L&nbsp;1s&nbsp;(4/1-equivalent)]] proceeding right, with both scales having a 5:2 step ratio. (The ⅓-octave complement of ~[[7/6]] is a mildly-flat septimal diatonic semitone ~[[15/14]], which is one key down-right, a convenient mapping for a diatonic semitone.) The range is about 6¾ octaves, and the octaves slope down considerably (incurring vertical wraparounds mitigated by repeated notes), while the double octaves slope upwards mildly.
{{Lumatone EDO mapping|n=21|start=2|xstep=5|ystep=-3}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 03:32, 2 June 2026 (UTC)


== Augmented (Triforce) + Bohpier Lumatone mappings ==
== Augmented (Triforce) + Bohpier Lumatone mappings ==
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Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:24, 6 August 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:24, 6 August 2025 (UTC)


== Beatles Lumatone mappings ==
== Aurora + Father + Variant Orwell Lumatone mappings ==
 
=== 13edo (demonstrated to work) ===


=== 27edo (demonstrated to work but awaiting approval) ===
[[Bryan Deister]] has demonstrated a [[3L&nbsp;2s]] (3:2 step ratio) [[aurora]]/[[father]] mapping for [[13edo]], in [https://www.youtube.com/shorts/YiIr9l0M67w ''Holding Back My Endless Sigh - 13edo''] (2026). The generator 8\13 (three keys right and one key down-right from the root note) can be taken as a very sharp fifth (~[[3/2]], for father temperament) or a moderately sharp septimal superfifth (~[[32/21]], for aurora temperament). Even more simply, this mapping also functions for a [[4L&nbsp;5s]] (2:1 step ratio) scale for a variant of [[Orwell]] temperament, with the one key right generator being 3\13, which functions as (among other things) a rather sharp septimal minor third ~[[7/6]] (requires the 13d val) or a flat tridecimal minor third ~[[13/11]], of which two make a slightly sharp undecimal major fourth ~[[11/8]]; three of them make a sharp classic minor sixth ~[[8/5]]; four of them make a very flat classic major seventh ~[[15/8]]; and after octave-reduction, seven of them make the super-sharp fifth ~[[3/2]] (better constituted as a near-just vicesimotertial inframinor sixth ~[[23/15]], or a slightly sharp septendecimal superfifth ~[[26/17]], or a moderately sharp septimal superfifth ~32/21 as in aurora above); and eight of them make a very sharp septimal minor seventh ~[[7/4]] (if using the 13d val) or a near-just classic minor seventh ~[[9/5]] (requires constitution of the 9 as 3♯ × 3♭). The range is over seven octaves, with notes repeated multiple times, but unfortunately the downwards slope of the octaves, although mild, would make mapping to multiple manuals tricky.
[[Bryan Deister]] has demonstrated a [[Beatles]] [[3L&nbsp;1s]] (8:3 step ratio) mapping for [[27edo]], in [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025). (Description goes here.)


{{Lumatone EDO mapping|n=27|start=4|xstep=8|ystep=-5}}
{{Lumatone EDO mapping|n=13|start=0|xstep=3|ystep=-1}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:49, 12 September 2025 (UTC)
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 17:16, 7 January 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:17, 18 February 2026 (UTC)


== Bidia + Diminished + Charismic + Semitonismic Lumatone mappings ==
== Bidia + Diminished + Charismic + Semitonismic Lumatone mappings ==
=== 44edo (demonstrated to work) ===
[[Bryan Deister]] has demonstrated a [[4L&nbsp;4s]] mapping (6:5 step ratio) [[44edo]], in ''Buried Treasure - 44edo'' (2026) [https://www.youtube.com/shorts/Oi3v0c7jbjM (''<nowiki>[short clip]</nowiki>''], [https://www.youtube.com/shorts/ZOoiGuUA-9Y ''<nowiki>[short 2]</nowiki>'']). This mapping also functions as a very hard flipped superdiatonic mapping ([[7L&nbsp;2s]], 6:1 step ratio with the small steps going up instead of down-right), a flipped antidiatonic mapping ([[2L&nbsp;5s]] with 7:6 step ratio and expanded small step going right + up), and as a [[13L&nbsp;3s (4/1-equivalent)]] mapping (with 6:5 step ratio, proceeding through the octave zig-zag). Right + down-right divides the octave into slices of 11\56; as an interval in its own right, this is the same as the minor third of [[12edo]], which functions as ~[[19/16]] and ~[[25/21]] (both being near-just). Down-right alone is 4\56, which is the [[Normal forms#Minimal_form|minimal form]] generator for [[Bidia]]; it functions as the classic diatonic semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]] (which is inconsistently mapped), meaning that the charisma [[256/255]] and the semitonisma [[289/288]] are both tempered out; two of them make a rather sharp whole tone ~[[9/8]] (which is also inconsistently mapped); three of them (passing the quarter-octave) make a sharp classic minor third ~[[6/5]], while the afore-mentioned quarter-octave (12edo-style) minor third is about equally easy to reach; in contrast, the somewhat flat classic major third ~[[5/4]] requires two moves rightwards plus two moves upwards; four moves right reaches the rather flat fourth ~[[4/3]]; another move right and two moves upreaches the rather sharp fifth ~[[3/2]]. The range is a bit under 4¾ complete octaves (with some extra non-contiguous notes at each end), but unlike the normal antidiatonic mapping, the octaves alternate between near/far and mid or near and far (superimposed upon an overall upwards slope).
{{Lumatone EDO mapping|n=44|start=28|xstep=6|ystep=-1}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:55, 4 January 2026 (UTC)<br>
Moved here from [[User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Unnamed_temperament_Lumatone_mappings|Unnamed temperament Lumatone mappings]]:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:46, 11 January 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:46, 11 January 2026 (UTC)


=== 56edo (demonstrated to work) ===
=== 56edo (demonstrated to work) ===
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== Bison (Porwell + Sensi) Lumatone mappings ==
== Bison (Porwell + Sensi) Lumatone mappings ==
=== 30edo (demonstrated to work) ===
[[Bryan Deister]] has demonstrated a [[6L&nbsp;2s]] (4:3 step ratio) [[Sensipent_family#Bison|Bison]] mapping for [[30edo]] in [https://www.youtube.com/shorts/O6nOiLxYPdE ''<nowiki>Ferris Wheel - 30edo [short]</nowiki>''] (2026), with Bison being the intersection of [[Porwell temperaments|Porwell]] with [[Sensi]]. The (rightward) generator for this is 4\30, which is a somewhat sharp septimal neutral second ~[[35/32]], and two of them yield a somewhat sharp classic major third ~[[6/5]] (the Porwell comma [[6144/6125]] is tempered out). The range is just under 4½ octaves with no missing notes and plenty of repeats to mitigate vertical wraparounds, and the octaves are near enough to level to be able to consider dividing the layout into two manuals if vertical wraparound mitigation is not needed.
{{Lumatone EDO mapping|n=30|start=28|xstep=4|ystep=-1}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:01, 20 January 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:18, 21 January 2026 (UTC)


=== 46edo (demonstrated to work) ===
=== 46edo (demonstrated to work) ===
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=== 38edo (demonstrated to work) ===
=== 38edo (demonstrated to work) ===


[[Bryan Deister]] has demonstrated a [[2L&nbsp;4s]] (step ratio 7:6) mapping for [[38edo]] in [https://www.youtube.com/shorts/QcFEW45uxHY ''38edo improv''] (2025) that functions for [[Sensipent_family#Bison|Bison]], [[Kleismic_family#Hemikleismic|Hemikleismic]], [[Magic_family#Divination|Divination]], and [[Magic_family#Hocus|Hocus]] temperaments. The range is just under 5½ octaves, and the octaves slope down only slightly.
[[Bryan Deister]] has demonstrated a [[2L&nbsp;4s]] (step ratio 7:6) mapping for [[38edo]] in [https://www.youtube.com/shorts/QcFEW45uxHY ''38edo improv''] (2025) that functions for [[Sensipent_family#Bison|bison]], [[Kleismic_family#Hemikleismic|hemikleismic]], [[Magic_family#Divination|divination]], and [[Magic_family#Hocus|hocus]] temperaments. The range is just under 5½ octaves, and the octaves slope down only slightly.


{{Lumatone EDO mapping|n=38|start=19|xstep=6|ystep=1}}
{{Lumatone EDO mapping|n=38|start=19|xstep=6|ystep=1}}


Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:57, 8 October 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:57, 8 October 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 18:26, 9 October 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:28, 26 January 2026 (UTC)
 
== Bison + Hemisensi + Hemikleismic mappings ==
 
=== 38edo (demonstrated to work) ===
 
It is possible to map [[38edo|38df]] to support scales [[4L&nbsp;2s]] (7:5 step ratio, and proceeding overall down-right) and [[7L&nbsp;1s]] (5:3 step ratio, with the small step proceeding right + up-right), supporting temperaments [[Sensipent_family#Bison|bison]], [[Kleismic_family#Hemisensi|hemisensi]], and [[Kleismic_family#Hemikleismic|hemikleismic]]. [[Bryan Deister]] has demonstrated this layout in [https://www.youtube.com/shorts/Gdx4hk7FKU0 ''<nowiki>waltz in 38edo [short]</nowiki>''] (2026), motivated by the wish to reverse major and minor thirds but without needing a super-flat fifth. This yields a range of a bit over 4¾ octaves, but with a severe downwards slope that incurs vertical wraparounds.
 
{{Lumatone EDO mapping|n=38|start=17|xstep=5|ystep=2}}
 
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:28, 26 January 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:53, 28 January 2026 (UTC)


== Biyatismic Lumatone mappings ==
== Biyatismic Lumatone mappings ==
=== 39edo (demonstrated to work) ===
[[Bryan Deister]] has used a [[Biyatismic_clan|biyatismic]] layout with a [[7L&nbsp;1s]] scale (5:4 step ratio) for [[39edo]], as demonstrated in [https://www.youtube.com/shorts/Tf812DJzoEA ''<nowiki>Tilt Your Head Down - 39edo [short]</nowiki>''] (2026). The rightward generator 4\39 is a combination of the Alpharabian tendoneutral second ~[[12/11]] and the undecimal submajor second ~[[11/10]], and two of these make a near-just classic minor third ~[[6/5]], with the biyatisma ([[121/120]]) being tempered out. Although biyatismic is technically rank-3 or rank-4, it functions here as a rank-2 temperament, filling in several useful intervals by rightward progression and octave-reduction: four of these generators make a near-just septimal tritone ~[[10/7]]; five of them make a flat pentacircle minor sixth ~[[11/7]] or a somewhat sharp septimal minor sixth ~[[14/9]]; and six of them make a flat septimal major sixth ~[[12/7]]. After octave-reduction, nine of them make a slightly sharp classic whole tone ~[[10/9]]; ten of them make a flat Alpharabian artoneutral third ~[[11/9]]; eleven of them make a flat fourth ~[[4/3]]; twelve of them make a slightly flat Axirabian paraminor fifth ~[[16/11]]; and thirteen of them make a flat classic minor sixth ~[[8/5]]. The range is just under four octaves, and the octaves slant up.
{{Lumatone EDO mapping|n=39|start=27|xstep=5|ystep=-1}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 12:27, 11 January 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:14, 13 January 2026 (UTC)


=== 68edo (demonstrated to work) ===
=== 68edo (demonstrated to work) ===
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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:00, 22 July 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:00, 22 July 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:18, 24 July 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:18, 24 July 2025 (UTC)
== Hyperkleismic Lumatone mappings ==
=== 11edo (demonstrated to work) ===
[[Bryan Deister]] has used a [[3L&nbsp;1s]] (3:2 step ratio) mapping for an unequal derivative of [[11edo]] that stacks sharp (by varying degrees) classic minor thirds to generate the scale (as in [[hyperkleismic]] temperament), in [https://www.youtube.com/shorts/K2QVvaRUXIQ ''<nowiki>[short clip] 11 Tone March</nowiki>''] (2023). In principle, this would also work for vanilla 11edo. (Due to the very large errors that 11edo has for most of its primes, getting the classic major thirds to map correctly as ~[[6/5]] requires use of the 2.9.15 subgroup or an extended version thereof, to constitute the minor thirds initially as 18/15.) The range is eight octaves, which slope very slightly upwards and have a generous number of repeated notes, thereby leaving open the possibility of splitting this layout into multiple manuals with only mild lopsidedness.
{{Lumatone EDO mapping|n=11|start=9|xstep=3|ystep=-1}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:35, 6 May 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 02:47, 10 May 2026 (UTC)


== Magic (Divination/Soothsaying) related Lumatone mappings ==
== Magic (Divination/Soothsaying) related Lumatone mappings ==
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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:30, 12 April 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:30, 12 April 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:02, 13 April 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:02, 13 April 2025 (UTC)
=== 52edo (demonstrated to work) ===
[[52edo]] is a valid [[porcupine]] tuning (with scale [[1L&nbsp;6s]] having a 10:7 step ratio), as [[Bryan Deister]] demonstrates in [https://www.youtube.com/shorts/YMjz4thpjxQ ''52edo jam''] (2026). The range with no missed notes is 4½ octaves, which slope upwards moderately.
{{Lumatone EDO mapping|n=52|start=13|xstep=7|ystep=3}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:46, 3 May 2026 (UTC)
== Porcupine + Augmented (Triforce) Lumatone mappings ==
=== 15edo (demonstrated to work) ===
The fully expanded [[7L&nbsp;1s]] mapping reduces the range (now just under four octaves) and increases the octave slope even further, but may be more intuitive to play, including having a forward chroma (rather than reverse as above); also, the slope is now enough upwards to permit reframing as a slight downwards slope with a [[6L&nbsp;3s]] scale (as in [[augmented]]/[[Augmented_family#Triforce|triforce]], and gentle enough to provide the potential splitting the mapping into multiple manuals (three complete in the middle, and one partial each above and below). [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/O0FCuzMLX9E ''15edo''] (2023), although with the color scheme set for porcupine and not augmented/triforce.
{{Lumatone EDO mapping|n=15|start=0|xstep=2|ystep=-1}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:47, 22 January 2026 (UTC)


== Ratwolfsmic + Sensi Lumatone mappings ==
== Ratwolfsmic + Sensi Lumatone mappings ==
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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:23, 29 June 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:23, 29 June 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 00:16, 30 June 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 00:16, 30 June 2025 (UTC)
== Squirrel Lumatone mappings ==
=== 65edo (demonstrated to work) ===
It is possible to map [[65edo]] with [[squirrel]] temperament, using as a generator the near-just undecimal submajor second ~[[11/10]], reminiscent of [[tetracot]] but producing a a [[1L&nbsp;6s]] scale (11:9 step ratio) instead of [[6L&nbsp;1s]]. Three of these generators make the near-just perfect fourth ~[[4/3]]; six of them make the near-just Pythagorean.minor seventh ~[[16/9]]; nine of them (with octave reduction) make the slightly flat otonal (undevesimal) minor third ~[[19/16]]; and twenty-one of them (with more octave reduction) make the near-just classic major seventh ~[[15/8]]. Unfortunately, this mapping does not cover all of the notes in the range of over 4½ octaves; even so, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/OtbEDFhjNkc ''65edo prelude''] (2026).
{{Lumatone EDO mapping|n=65|start=26|xstep=9|ystep=2}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:24, 17 March 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:08, 22 March 2026 (UTC)


== Superlimmal Lumatone mappings ==
== Superlimmal Lumatone mappings ==
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Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:26, 28 June 2025 (UTC)<br>
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:26, 28 June 2025 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:04, 2 July 2025 (UTC)
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:04, 2 July 2025 (UTC)
== Undevicesimal Quasitonemic + Semitonismic + Archagallismic Lumatone mappings ==
=== 90edo (demonstrated to work) ===
[[Bryan Deister]] has demonstrated a [[6L&nbsp;6s]] (8:7 step ratio) [[6th-octave_temperaments|6th-octave temperament]] mapping for [[90edo]], in [https://www.youtube.com/shorts/LdxUD1taOqI ''<nowiki>Fantasy in 90edo [short clip]</nowiki>''] (2026). This temperament is similar to [[6th-octave_temperaments#Spoob|spoob]], but spoob itself (which equates the werckismic tone ~[[55/49]] to 1/6 of an octave) will not actually work in the [[patent val]] of 90edo, which maps 55/49 inconsistently. ("Undevicesimal quasitonemic" is a placeholder name, pending approval of an official name for this 6th-octave temperament.) Instead, it equates the near-just quasi-tempered whole tone ~[[64/57]] (one key right, as 15\90) to 1/6 of an octave &mdash; the [[undevicesimal quasitonema]] (34359738368/34296447249, name proposed by [[User:Xenllium|Xenllium]]) is tempered out. The down-right generator 8\90 is a near-just large septendecimal semitone ~[[17/16]]; two of them (passing a 6th-octave boundary) make a sharp (and inconsistently-mapped) Pythagorean whole tone ~[[9/8]] (the semitonisma [[289/288]] is tempered out); three of them make a somewhat sharp classic minor third ~[[6/5]] (the archagallisma [[24576/24565]] is tempered out). The range is slightly short of five octaves (which slope upwards with the rows), with many missing notes in each octave, but this is an interesting mapping nonetheless, and could shine on a hypothetical XL-sized Lumatone having at least 465 keys in a span of five octaves.
{{Lumatone EDO mapping|n=90|start=86|xstep=15|ystep=-7}}
Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:01, 15 April 2026 (UTC)<br>
Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:09, 17 April 2026 (UTC)


== Valentine Lumatone mappings ==
== Valentine Lumatone mappings ==
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