Lumatone mapping for 44edo

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There are many conceivable ways to map 44edo 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.

Antidiatonic

You can use the b val, which can be interpreted as either near equalised mavila, or more accurately but complexly as undecimation.

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34
35
41
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Neutral thirds

Another option is to slice the perfect fifth in half, giving this mapping, which is derived from the Lumatone mapping for neutral thirds scales:

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Semiquartal

Slicing the perfect fourth in half also works, but the 4L 1s mapping does not cover the whole gamut:

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Expanding this to the 5L 4s mapping solves this problem, but the scale has an 8:1 step ratio, making it very lopsided.

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Hemifourths

However, it is the Hemifourths mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.

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