Lumatone mapping for 79edo: Difference between revisions
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== Diatonic == | == 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. | 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). | ||
{{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 == | ||
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= | {{Lumatone EDO mapping|n=79|start=4|xstep=10|ystep=-7}} | ||
== Magic == | == Magic == | ||
Latest revision as of 17:34, 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. 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).
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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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