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

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 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.

=== 30edo (demonstrated to work) ===

[[Bryan Deister]] has used a layout for [[30edo]] that was also inspired by the layout for [[29edo]] (rather than being made for any specific temperament), as demonstrated in [https://www.youtube.com/watch?v=NP3HGr3ZD70&lc=UgxFBmbxZa5dF4ZPj0F4AaABAg.AFzcn1LkVZNAG4JYIvXZvZ ''minuet in 30edo''] (2025). The right-moving generator is a somewhat flat Pythagorean whole tone (~[[9/8]], 5\30; and in the video, the row segments that include note 0 are colored solid red).  The up-moving generator is a somewhat flat tridecimal supraminor second (~[[14/13]], 3\30); neither would be able access the full gamut on its own, but together they cover the full gamut with a generous allotment of repeated notes (indicating that if this layout was to represent a particular temperament, that would have to be a rank-3 temperament if having an octave period, or a rank-2 temperament dividing the octave into multiple periods). The range is a bit under five octaves, with octaves slanting up (while wrapping around) at the same angle as the right-moving generator.

{{Lumatone EDO mapping|n=30|start=4|xstep=5|ystep=-3}}

Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:59, 25 March 2025 (UTC)<br>

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 21:39, 29 March 2025 (UTC)

== Various Unnamed Temperament Lumatone mappings ==

Various Lumatone mappings that do not match the mapping for another size of EDO, and were not designed for a particular temperament.

[[Bryan Deister]] has used a flipped antidiatonic layout for [[51edo]] in which the generator is a mid major second at 8\51, which maps in between ~[[10/9]] and ~[[9/8]] and is distinct from both, A possible constitution of this interval in 51edo is the septendecimal major second ~[[512/459]] (~|9 -3 0 0 0 0 -1⟩), which maps correctly to 8\51 and is very close by direct approximation. Two of these generators make a slightly flat ~[[5/4]] Ptolmeic major third, and nine of these generators make a slightly sharp ~[[8/3]] perfect eleventh. Octaves alternate between near and far, but the range is just one missing note #47 short of being 5 full octaves, which compares favorably with the standard Antidiatonic ([[Mavila]]/[[Undecimation]]) and [[Porky]] mappings, and is competitive with the [[Slendric]] mapping. (Another possibility would be to move the first note 0 up and left, which would instead put the missing note in the first octave.) The most straightforward scale within an octave is [[2L&nbsp;5s]] with a step ratio of 8:7, but the octave zigzag could be used to support an [[11L&nbsp;2s (4/1-equivalent)]] scale, again with a step ratio of 8:7. [https://x31eq.com/temper-pyscript/ Graham Breed's x31eq Temperament Finder] gives no name for this temperament; it is 19 & 51 in the 2.3.5.17 subgroup, but if this layout was actually adapted to [[19edo]], L and s steps would exchange size classes to make this a flipped Diatonic layout. This layout is demonstrated in [https://www.youtube.com/shorts/5pM8OC0fV98 ''51edo improv''] (2025), with some additional notes outside the 5 (almost) full octaves cut off in and near the upper left and lower right corners due to the use of only 2 MIDI channels.

{{Lumatone EDO mapping|n=51|start=32|xstep=8|ystep=-1}}

Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:21, 5 May 2025 (UTC)<br>

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:23, 6 May 2025 (UTC)

=== 52edo (demonstrated to work) ===

[[Bryan Deister]] has used a layout for [[52edo]] in which the generator is 9\52, as ~[[9/8]] but mapped by direct approximation rather than as the version mapped by the patent val or by the 52b val, which means that it has to be constituted as (3♭&nbsp;×&nbsp;3♯)&nbsp;/&nbsp;8 to make use of the dual-fifth feature of 52edo. Two of these map to a ~[[14/11]] major third, as in [[Pentacircle clan|Pentacircle]] but for the direct approximation mapping of ~9/8. The upward generator is ~[[16/15]]. Octaves slant down and then wrap around, but the compass is 5 full octaves, with no missed notes, which is competitive with the Diatonic and Neutral Thirds layouts. This layout is demonstrated in [https://www.youtube.com/shorts/lNJCZz7EjL0 ''microtonal improvisation in 52edo''] (2025); in the video, some notes are cut off at the right edge due to the use of only 2 MIDI channels.

{{Lumatone EDO mapping|n=52|start=4|xstep=9|ystep=-5}}

Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:22, 5 May 2025 (UTC)<br>

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:03, 6 May 2025 (UTC)

=== 57edo (demonstrated to work but awaiting approval) ===

[[Bryan Deister]] has used a layout for [[52edo]] in which the right generator is 9\57 ([[10/9]] ~ [[9/8]], as in [[Meantone]], but this would be contorted without an additional generator); and the upward generator is 8\57, which maps to a just slightly flat ~[[11/10]] (and not to ~[[12/11]] or ~[[10/9]] in the patent val, thus differing from [[Porcupine]] despite producing a rotated but otherwise similar [[1L&nbsp;6s]] scale).  Octaves are nearly level, just barely sloping downwards; the compass is somewhat under 4 octaves. This layout is demonstrated in [https://www.youtube.com/watch?v=4NZvSgS3ryY ''57edo improv''] (2025); in the video, some notes are cut off in the lower and middle left edge and the upper right corner due to the use of only 2 MIDI channels; on the plus side, this shows where to put note 0 on the left side to avoid losing notes in the bottom octave due to running off the edge of the keyboard. Note that down and right proceeds by 1\57, thus making for an easy glissando (also demonstrated in the video).

{{Lumatone EDO mapping|n=57|start=5|xstep=9|ystep=-8}}

Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:35, 12 May 2025 (UTC)<br>

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:43, 12 May 2025 (UTC)

=== 97edo (demonstrated to work) ===

[[Bryan Deister]] has used the [[16L&nbsp;1s]] layout for [[97edo]], as demonstrated in [https://www.youtube.com/watch?v=hXDdKO3-RL4 ''microtonal improvisation in 97edo''] (2025). Although 97edo is at the intersection of [[Immunity]] and [[Orson]], this layout does not closely match either temperament, instead using a rightward generator 6\97 which is very close to [[24/23]], and an upward generator 5\97 which is very close to [[29/28]]. The range is less than 2 octaves, and the octaves slant upwards, but all notes are represented at least once (although getting this within a full 0 to 0 octave requires shifting the 0 point 1 key right from Bryan Deister's usual placement in the lower left corner, to avoid cutting off some notes on the left end).

{{Lumatone EDO mapping|n=97|start=10|xstep=6|ystep=-5}}

Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:09, 16 April 2025 (UTC)<br>

Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:52, 18 April 2025 (UTC)