There are many conceivable ways to map 43edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
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Amavil (superdiatonic)
It is possible to use a 7L 2s (5:4 step ratio) superdiatonic mapping with 43edo, as in mavila. Mavila itself is not a high-accuracy tuning, but it has some relatives that are high-accuracy — in this case, amavil, of the mabila family. As with mavila, it uses a sub-fifth as its generator, in this case 24\43; however, unlike actual mavila, the generator is explicitly defined as something other than the fifth, which is instead left at the most accurate mapping 43edo has to offer for ~3/2 (at 25\43). Instead, the sub-fifth is mapped as a mildly flat undecimal diminished fifth ~22/15. After octave-reduction, three of them make a somewhat flat classic minor sixth ~8/5; four of them make a subminor third that functions as ~7/6 (sharp), ~13/11 (flat), and ~20/17 (diatismic minor third, close to just, only slightly sharp); six of them make a near-just pentacircle major third ~14/11; seven of them make a near-just classic major seventh ~15/8; eight of them make a moderately flat undecimal major fourth ~11/8; and ten of them make the moderately flat perfect fifth ~3/2. The range is about 3¾ octaves, which slope mildly upwards, with a generous allotment of repeated notes to mitigate vertical wraparounds.
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Semiquartal
The 4L 1s layout is also particularly notable for putting the best tuned intervals within easy reach of one-another, as also demonstrated in Skip fretting system 43 2 9, although it doesn't quite cover the whole gamut.
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Trimean
If you want easily accessible single-step movements, the Trimean mapping is probably the best option.
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