There are many conceivable ways to map 72edo onto the onto the Lumatone keyboard. However, it has 6 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.
Diatonic
You can use either the second- best alternate fifth, but it is extremely sharp, so much so that "major seconds" become 8/7 instead of 9/8.
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or the third-best:
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but these do not cover the full gamut or make the best-tuned intervals easily accessible.
Miracle
Instead, the most efficient way to put the best-tuned intervals near each other while allowing access to all of them is the Miracle mapping, although this does reduce the range to a little over three octaves.
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Semimiracle
Slicing the period in half to produce semimiracle makes ratios of 13 and 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.
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Harry + Marvolo (Marvel) + Miracle
Bryan Deister has demonstrated a mapping of 72edo as nine rings of 8edo going right, offset so as to also produce the scale 11L 9s (4/1-equivalent), in microtonal improvisation in 72edo (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~6/5 as 19\72 and ~5/4 as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~8/7, which corresponds to two generators (~15/14) of Miracle. (It is also the generator of Guiron, Mothra, and Slendric, but 72edo is contorted in those temperaments). Repeating this move twice more yields the highly accurate ~3/2 as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~12/7; from there, moving one key to the right yields the primary generator of Marvel temperament, ~15/8, as 65\72. The down-right generator 5\72 (20/19 ~ 21/20 ~ 22/21) matches Harry and Marvolo.
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