Lumatone mapping for 15edo
There are many conceivable ways to map 15edo onto the onto the Lumatone keyboard. However, it has 3 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them. However one can use the standard pythagorean mapping by using the extremely flat 8\15 fifth of 640¢. This layout preserves the location of the octave, and places the down-fifth where the fifth usually is.
The mappings that organise its intervals that make it easy to find consonant chords, in order of increasing compression, are the Porcupine, Blackwood, and Hanson mappings.
Porcupine
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Blackwood
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Hanson
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