Lumatone mapping for 60edo: Difference between revisions

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~~There are many conceivable ways to map [[60edo]] 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~~, ~~and~~ even those that do will have limited range. For example, [[magic]] needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.

{{Lumatone mapping intro}} Due to the very large number of notes, even those that do will have limited range. For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.

~~{{Lumatone EDO mapping|n=60|start=57|xstep=7|ystep=-3}}~~

The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.

The [[amity]] mapping also suffers from chroma skips between most columns unless expanded outwards from the [[4L 3s]] mapping to the [[7L 4s]] one, which also makes octaves further apart vertically.

Other possible mappings include [[bleu]]

Or [[tritonic]]

However, it is the [[fifive]] mapping that produces an octotonic scale which maximises range while providing access to all the notes and makes it easiest to play simple ratios together.

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-There are many conceivable ways to map [[60edo]] 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, and even those that do will have limited range. For example, [[magic]] needs to be expanded to the [[3L&nbsp;13s]] mos, at which point it only has a range of three and a half octaves.
+{{Lumatone mapping intro}} Due to the very large number of notes, even those that do will have limited range. For example, the [[magic]] mapping needs to be expanded to the [[3L&nbsp;13s]] mos, at which point it only has a range of three and a half octaves.
+{{Lumatone EDO mapping|n=60|start=57|xstep=7|ystep=-3}}
-{{Lumatone EDO mapping|n=60|start=57|xstep=7|ystep=-3}}
 The [[3L&nbsp;10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.
 {{Lumatone EDO mapping|n=60|start=44|xstep=10|ystep=-3}}
 The [[amity]] mapping also suffers from chroma skips between most columns unless expanded outwards from the [[4L&nbsp;3s]] mapping to the [[7L&nbsp;4s]] one, which also makes octaves further apart vertically.
 {{Lumatone EDO mapping|n=60|start=53|xstep=9|ystep=-1}}
 {{Lumatone EDO mapping|n=60|start=0|xstep=8|ystep=-1}}
 Other possible mappings include [[bleu]]
 {{Lumatone EDO mapping|n=60|start=4|xstep=7|ystep=-4}}
 Or [[tritonic]]
 {{Lumatone EDO mapping|n=60|start=5|xstep=9|ystep=-7}}
 However, it is the [[fifive]] mapping that produces an octotonic scale which maximises range while providing access to all the notes and makes it easiest to play simple ratios together.
 {{Lumatone EDO mapping|n=60|start=27|xstep=7|ystep=2}}
 {{Navbox Lumatone}}