Lumatone mapping for 60edo: Difference between revisions

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Finally found the time to crunch the math to optimise this one.
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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.  
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 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.  
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.  
{{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}}
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{{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}}

Revision as of 16:51, 11 February 2025

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, 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.

57
4
1
8
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30
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0
7
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56
3
10
17
24
31
39
46
53
0
7
14
21
28
4
11
18
25
32
22
29

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.

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3
13
0
10

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.

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Other possible mappings include bleu

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1
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18

Or tritonic

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1
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41

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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View • Talk • EditLumatone mappings 
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Retrieved from "https://en.xen.wiki/index.php?title=Lumatone_mapping_for_60edo&oldid=180249"