Lumatone mapping for 60edo: Difference between revisions

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Finally found the time to crunch the math to optimise this one.
m Magic: Forgot to mention where note 0 is in the demonstration video
 
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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.


== Magic ==
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. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025), although with the first note 0 in the upper left corner instead of most of the way down to the lower left.
{{Lumatone EDO mapping|n=60|start=57|xstep=7|ystep=-3}}
{{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 [[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.
{{Lumatone EDO mapping|n=60|start=44|xstep=10|ystep=-3}}
{{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 3s]] mapping to the [[7L 4s]] one, which also makes octaves further apart vertically.  
== Amity ==
The [[Lumatone mapping for Amity]] 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.  
{{Lumatone EDO mapping|n=60|start=53|xstep=9|ystep=-1}}
{{Lumatone EDO mapping|n=60|start=53|xstep=9|ystep=-1}}
{{Lumatone EDO mapping|n=60|start=0|xstep=8|ystep=-1}}
{{Lumatone EDO mapping|n=60|start=0|xstep=8|ystep=-1}}


Other possible mappings include [[bleu]]
== Other mappings ==
Other possible mappings include [[bleu]] and [[tritonic]], but 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.
 
=== Bleu ===
{{Lumatone EDO mapping|n=60|start=4|xstep=7|ystep=-4}}
{{Lumatone EDO mapping|n=60|start=4|xstep=7|ystep=-4}}


Or [[tritonic]]
=== Tritonic ===
{{Lumatone EDO mapping|n=60|start=5|xstep=9|ystep=-7}}
{{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.
=== Fifive ===
 
{{Lumatone EDO mapping|n=60|start=27|xstep=7|ystep=2}}
{{Lumatone EDO mapping|n=60|start=27|xstep=7|ystep=2}}


{{Lumatone mapping navigation}}
{{Navbox Lumatone}}