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Lumatone mapping for 63edo

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There are many conceivable ways to map 63edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

However, to the size of the edo, this mapping does not quite cover all the notes. In addition, the best approximation to 5/4 is the quadruply diminished or pentuply augmented 6th, which is extremely awkward to play with the root and 5th. The second best is shared with 12edo and is a triply augmented unison, which is slightly more ergonomic but still a tough stretch to play as a chord one-handed.

 
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Other Mappings

Of the mappings that cover all the notes, the 7L 1s scale generated by 8/63 and the 3L 5s one generated by 23/63 are the most efficient, with the second of those keeping octaves closer to horizontal.

 
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However, neither of these makes consonant chords particularly easy to play. The fog and magic mappings have smaller ranges, but are more harmonically effective.

Fog

 
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Magic

 
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Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_63edo&oldid=203592"