Lumatone mapping for 78edo
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There are many conceivable ways to map 78edo onto the onto the Lumatone keyboard. However, since it has 2 mutually-exclusive rings of 39edo fifths, the Standard Lumatone mapping for Pythagorean is not one of them. The second best 5th produces three mutually-exclusive rings of 26edo 5ths, so that doesn't work either, and the third and fourth best are out of the diatonic tuning range.
Keen
On the other hand, the keen mapping can cover the whole gamut and make harmonics easy to play together, although it needs to be expanded from 2L 8s to 10L 2s to hit every note.
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Neutral thirds
The 7L 3s neutral thirds mapping also covers the whole gamut about as efficiently as possible and keeps octaves closer to horizontal.
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