Xenharmonic Wiki

Lumatone mapping for 103edo

Revision as of 04:27, 16 May 2026 by Overthink (talk | contribs) (→Phicordial: It's the octave, not the generator, that's indivisible because of 103 being prime. "Hemimiracle" is an alternative extension to 11 that splits the generator into two ~33/32's.)
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There are many conceivable ways to map 103edo 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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Miracle

The Miracle mapping is the most efficient way to put well-tuned intervals close to one-another, but the 10L 1s mapping does not cover the whole gamut and the 10L 11s mapping has a very limited range & strong downward slope.

10L 1s

 
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10L 11s

 
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Phicordial

Since 103 is a prime edo, it does not support semimiracle, but dividing the inverse generator in three gives you the 10L 3s Phicordial mapping, which covers the whole gamut about as efficiently as possible and keeps octaves close to horizontal.

 
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