Lumatone mapping for 36edo: Difference between revisions

Line 1:

There are many conceivable ways to map [[36edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Since it is [[Highly_composite_equal_division|highly composite]], many other mappings will also fail to cover the entire gamut, including both the second and third best alternative 5ths. If you want an evenly distributed heptatonic scale that gives easy access to the perfect 5th, you instead need to use the [[squirrel]] mapping.

The [[Liese]] mapping also provides a heptatonic scale which reaches the 5th in three steps, but is very lopsided.

However, since 36edo works best as a ~~2.3.~~7 ~~subgroup temperament~~, ~~and~~ the [[slendric]] mapping most efficiently takes advantage of ~~that,~~ while also spanning the widest range that allows access to the full gamut at the same time ~~it is probably preferable~~.

However, since 36edo works best as a 7-odd-limit system, the [[slendric]] mapping is probably preferable, since it most efficiently takes advantage of the very accurate 3 and 7 while also spanning the widest range that allows access to the full gamut at the same time.

Reversing the direction of the chroma makes the diatonic scale easier to play, but puts octaves all over the place.

[[Category:Lumatone mappings]] [[Category:36edo]]

@@ Line 1: / Line 1: @@
 There are many conceivable ways to map [[36edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Since it is [[Highly_composite_equal_division|highly composite]], many other mappings will also fail to cover the entire gamut, including both the second and third best alternative 5ths. If you want an evenly distributed heptatonic scale that gives easy access to the perfect 5th, you instead need to use the [[squirrel]] mapping.
 {{Lumatone EDO mapping|n=36|start=15|xstep=5|ystep=1}}
 The [[Liese]] mapping also provides a heptatonic scale which reaches the 5th in three steps, but is very lopsided.
 {{Lumatone EDO mapping|n=36|start=24|xstep=2|ystep=11}}
-However, since 36edo works best as a 2.3.7 subgroup temperament, and the [[slendric]] mapping most efficiently takes advantage of that, while also spanning the widest range that allows access to the full gamut at the same time it is probably preferable.
+However, since 36edo works best as a 7-odd-limit system, the [[slendric]] mapping is probably preferable, since it most efficiently takes advantage of the very accurate 3 and 7 while also spanning the widest range that allows access to the full gamut at the same time.
 {{Lumatone EDO mapping|n=36|start=9|xstep=7|ystep=1}}
+Reversing the direction of the chroma makes the diatonic scale easier to play, but puts octaves all over the place.
+{{Lumatone EDO mapping|n=36|start=21|xstep=7|ystep=-1}}
 [[Category:Lumatone mappings]] [[Category:36edo]]