Lumatone mapping for 87edo

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There are many conceivable ways to map 87edo 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. Due to the edos size, it would not cover the whole gamut even if it was.

Diatonic

You can use the b val, which is at least a near perfect tuning for deeptone.

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5

There is an alternate diatonic scale that makes 5-limit chords easy to play, but it has a slight octave stretch. Since every note is available in at least some of the octaves, this may actually be advantageous.

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Rodan

The Rodan mapping is quite efficient and 87edo is an essentially perfect tuning for the temperament, which makes it a good option. However, the 1L 4s and 5L 1s mappings only cover about half the notes and the 5L 6s one has heavily sloped octaves whichever direction you put the chroma. The reverse chroma one is the only one of these that covers the full gamut in the central octave.

1L 4s

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5L 1s

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5L 6s

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Kleismic

The 4L 7s mapping covers the full gamut and keeps octaves fairly horizontal when the small step goes rightward.

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Misty

The 3L 9s Misty mapping is quite efficient at making harmonics easy to play together, gives you a relatively 12edo-like experience and keeps octaves near horizontal, but has a slightly smaller range.

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