There are many conceivable ways to map 58edo 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. Due to its size, it would not cover the whole gamut even if it was.
Diaschismic
The 2L 8s diaschismic mapping is probably the most intuitive way of covering the whole gamut while putting well-tuned ones close together if you're used to playing 12edo.
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However, this results in a range barely over 3 octaves, which may be compositionally limiting.
Echidna
The 6L 2s Echidna mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is available from the Lumatone Facebook group.) Bryan Deister demonstrates this mapping in 58edo improv (2025).
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Hemififths
Other good options include the 7L 3s Hemififths
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Buzzard
The 5L 3s Buzzard mapping is also another good option, although this occasionally skips a step.
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Harry
Or if you don't mind the smaller range and want to more easily exploit narrow intervals, there is the 2L 12s Harry mapping (as in Lumatone mapping for harry)
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