Lumatone mapping for 34edo

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There are many conceivable ways to map 34edo 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.

Mabila

You can use the b val instead, which generates Mabila, but this puts the perfect fifth in awkward places.

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Tetracot

The 6L 1s Tetracot mapping is probably a better option if you want a heptatonic scale that makes finding intervals relatively easy, since the perfect fifth is in a straight line from the root, the 7L 6s MOS makes 5-limit major and minor chords very easily accessible, and single steps are neatly mapped to the vertical axis. However, the range is reduced to slightly over four octaves.

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Semiquartal (Immunity)

If you want greater range you can slice the perfect fourth in two and use the Immunity mapping. However, the resulting 5L 4s MOS has a 6:1 step ratio, making it quite lopsided:

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Hanson

The Hanson mapping also puts 5-limit consonances within easy reach of each other, but does not cover the full gamut unless expanded from the 3L 1s mapping to 4L 3s.

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