Lumatone mapping for 57edo
There are many conceivable ways to map 57edo onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them, unless the very sharp b val is used. Due to the large number of notes, even those that do will have limited range.
Diatonic (sharp fifth)
The 57b val has a fifth so sharp that using it to play a pentatonic scale would sound more like a circulating temperament of 5edo than a pentatonic scale of Meantone, Superpyth, or any of their relatives. The sharp fifth does have the feature that six of them add up to 12/1, which octave-reduces to the patent fifth, and the diatonic mapping does provide easy access to the patent fifth (just up and left of the sharp fifth), so on a hypothetical XL-sized Lumatone having enough keys to avoid skipping notes, it would be a reasonable mapping despite giving an extremely hard 5L 2s scale and nearly equalized 2L 3s scale.
Unnamed temperament
Bryan Deister has used a layout for 57edo 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 6s scale). Octaves are nearly level, just barely sloping downwards; the compass is somewhat under 4 octaves. This layout is demonstrated in 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).