Lumatone mapping for 127edo

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There are many conceivable ways to map 127edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

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Due to the size of the edo, this will not cover all the notes unless expanded out from 5L 2s to 12L 7s, reducing the range commensurately.

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Würschmidt

The 3L 13s Würschmidt mapping covers the gamut with slightly greater range and puts harmonics closer together, although the step size is quite lopsided.

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You can compress this down to 3L 7s and still hit all the simple ratios, as well as keeping octaves closer to horizontal.

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