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. However, due to the size of this edo, the diatonic mapping does not cover all the notes (to do so would require a hypothetical XL-size Lumatone to have 395 keys in the span of five octaves). Despite the missing notes, Bryan Deister has used this mapping in Looping the Rooms - Rusino (microtonal cover in 79edo) (2026).
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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 7s magic mapping is similarly efficient, but favors different intervals.
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Bryan Deister has demonstrated an expanded 15L 1s (5:4 step ratio, with no backtracking) mapping for 79edo, in 79edo groove (2026). This is like a valentine mapping, but in a region of Valentine that is so flat as to be an exo-temperament region of Valentine, depending upon the interval of interest; alternatively it considered to be a valentine-related temperament. Three rightward generators 5\79 still make a (slightly flat) septimal whole tone ~8/7, as in normal Valentine, but unlike actual valentine, nine of them fall 1\79 short of the patent fifth ~3/2 (46\79); in actual valentine, the fifth ~3/2 would be at a stack of nine generators, but in 79edo this is instead the mildly sharp grave fifth ~40/27 (45\79), and the mildly flat fifth is instead at 25 generators after octave-reduction (46\79). The range is a bit over two octaves, with a gentle downwards slope, and a fair allotment of repeated notes to assist with vertical wraparounds.
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