Revision as of 17:33, 10 July 2025 by Lucius Chiaraviglio(talk | contribs)(→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)
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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Magic
The 3L 7smagic mapping is similarly efficient, but favors different intervals.
