Lumatone mapping for 79edo: Difference between revisions

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Expansion.
Neutral thirds: Make this Neutral seconds/thirds; fix note 0 position to avoid a skipped note 1 in the first octave; add to description; add demonstration video
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{{Lumatone EDO mapping|n=79|start=77|xstep=13|ystep=-6}}
{{Lumatone EDO mapping|n=79|start=77|xstep=13|ystep=-6}}


== Neutral thirds ==
== Neutral seconds/thirds ==
However, due to the size of the edo, this mapping does not cover the whole gamut. Like [[78edo]], the [[7L 3s]] neutral thirds mapping covers the whole gamut about as efficiently as possible and keeps octaves close to horizontal.  
The [[7L 3s]] neutral thirds mapping uses the Alpharabian tendoneutral second ~[[12/11]] as its generator (mapped as 10\79). It covers the whole gamut as efficiently as possible (no missed notes and no repeated notes in a range a bit under 3½ octaves) and keeps octaves close to horizontal. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/watch?v=qj6tmkMvQMU&lc= ''microtonal improvisation in 79edo''] (2025).
{{Lumatone EDO mapping|n=79|start=8|xstep=10|ystep=-7}}
{{Lumatone EDO mapping|n=79|start=4|xstep=10|ystep=-7}}


== Magic ==
== Magic ==

Revision as of 17:33, 10 July 2025

There are many conceivable ways to map 79edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

Note that 79edo is a Python tuning rather than meantone in the patent val, so while there is a decent approximation to 5/4 as a major third, there's an even better one to be found as a doubly-augmented second.

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Neutral seconds/thirds

The 7L 3s neutral thirds mapping uses the Alpharabian tendoneutral second ~12/11 as its generator (mapped as 10\79). It covers the whole gamut as efficiently as possible (no missed notes and no repeated notes in a range a bit under 3½ octaves) and keeps octaves close to horizontal. Bryan Deister has demonstrated this mapping in microtonal improvisation in 79edo (2025).

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0
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Magic

The 3L 7s magic mapping is similarly efficient, but favors different intervals.

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