Lumatone mapping for 79edo: Difference between revisions

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== 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).

== 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).

== Magic ==

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

@@ Line 2: / Line 2: @@
 == 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}}
-== 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 ==
+The [[3L 7s]] [[magic]] mapping is similarly efficient, but favors different intervals.
+{{Lumatone EDO mapping|n=79|start=19|xstep=4|ystep=13}}
 {{Navbox Lumatone}}