Xenharmonic Wiki

Lumatone mapping for 34edo

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. The range is still nearly five octaves, although instead of missing the last note of the highest octave, this layout misses the note two before that. Bryan Deister has demonstrated this layout in 34edo improv (2025).

 
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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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