There are many conceivable ways to map 90edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
Due to the size of the edo, this mapping does not cover all the notes. In addition, the best approximation to 5/4 is a hextuply augmented fifth or septuply-diminished second, which is impossible to play with the root note of the scale.
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Undevicesimal Quasitonemic + Semitonismic + Archagallismic
Bryan Deister has demonstrated a 6L 6s (8:7 step ratio) 6th-octave temperament mapping for 90edo, in Fantasy in 90edo [short clip] (2026). This temperament is similar to 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 — the undevicesimal quasitonema (34359738368/34296447249, name proposed by 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.
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Diaschismic + Charismic
On the other hand, the golden diaschismic mapping can cover the whole gamut, has better melodic properties than the diatonic mapping and makes harmonics easier to play together, although it needs to be expanded from 2L 8s to 10L 2s to hit every single note. The rightward generator 8\90 is a semitone that functions as both ~16/15 and ~17/16 (the charisma 256/255 is tempered out). Splitting the octave in half (the diaschisma 2048/2025 is tempered out) enables this generator to produce these mappings without contorsion.
2L 8s
With 2L 8s (13:8 step ratio), the range is three octaves with a very mild upwards slope, but some notes are missing.
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10L 2s
Bryan Deister has demonstrated the Diaschismic-Charismic 10L 2s mapping for 90edo (with 8:5 step ratio), in microtonal improvisation in 90edo (20025). The range is about 2⅔ octaves with no missed notes, with a mild upward slope.
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