There are many conceivable ways to map 46edo onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
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39
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42
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Unfortunately this makes basic 5-limit minor and major chords quite complex using the leapday scale, requiring awkward stretches to play. The rodan mapping is probably more intuitive and has a wider range, but has the disadvantage of skipping a chroma on some of the transitions between columns, making it impossible to play the full gamut of each octave, and each octave is substantially higher up on the keyboard.
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The expanded mapping fixes this, but now the chroma goes diagonally down, requiring an adjustment of playing style when doing chromatic runs.
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The amity mapping is a good compromise between them, providing an even heptatonic scale while making the full gamut playable, with the chroma going in the correct direction.
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The Echidnic mapping does even better, giving the greatest overall efficiency at reaching harmonics while also keeping octaves close to horizontal.
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