There are many conceivable ways to map 106edo onto the onto the Lumatone keyboard. However, it has 2 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.
Diatonic
You can use the b val, which produces ultrapyth, but this is very sharp and only covers half of its notes due to the size of the edo.
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There is an alternate diatonic scale that makes near perfect 5-limit chords easy to play, but it has an octave stretch of approximately half a syntonic comma. Since you can access every note in alternating octaves, this may actually be advantageous.
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Semidiatonic
Dividing both the generator and period in two will neatly cover the whole gamut with a minimum of repeated notes, at the cost of halving the range.
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Borwell
The 5L 8s Borwell mapping covers all the notes with slightly greater range, at the cost of a less familiar layout and slight downward slope for octaves.
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