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| There are many conceivable ways to map [[40edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].
| | {{Lumatone mapping intro}} |
| | == Diatonic == |
| {{Lumatone EDO mapping|n=40|start=32|xstep=6|ystep=-1}} | | {{Lumatone EDO mapping|n=40|start=32|xstep=6|ystep=-1}} |
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| | == Blackwood == |
| | === Compressed, forward chroma === |
| | If you want a wider range, the [[blackwood]] mapping is the most efficient as long as you don't mind the sharp fifth being easier to play than the flat one. |
| | {{Lumatone EDO mapping|n=40|start=34|xstep=8|ystep=-3}} |
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| If you want a wider range, the [[Limmic temperaments|Blackwood]] mapping is the most efficient as long as you don't mind the sharp fifth being easier to play than the flat one. | | === Expanded, reverse chroma === |
| {{Lumatone EDO mapping|n=40|start=34|xstep=8|ystep=-3}} | | If [[40edo]] is mapped for [[blackwood]] with a reverse chroma, the range is much less than in the forward-chroma version (at 4¼ octaves), but the flat (patent) fifth ~[[3/2]] (23\40) is much easier to reach (by moving three keys right plus one key down-right from the root note). The slightly sharp classic major third ~[[5/4]] (13\40) is even easier to reach, at one key right plus one key down-right from the root note (this is the same as in the forward chroma version). [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/fREuVtq875U ''40edo improv''] (2026). |
| | {{Lumatone EDO mapping|n=40|start=36|xstep=5|ystep=3}} |
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| [[Category:Lumatone mappings]] [[Category:40edo]]
| | {{Navbox Lumatone}} |
Latest revision as of 19:40, 5 August 2026
There are many conceivable ways to map 40edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
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Blackwood
Compressed, forward chroma
If you want a wider range, the blackwood mapping is the most efficient as long as you don't mind the sharp fifth being easier to play than the flat one.
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Expanded, reverse chroma
If 40edo is mapped for blackwood with a reverse chroma, the range is much less than in the forward-chroma version (at 4¼ octaves), but the flat (patent) fifth ~3/2 (23\40) is much easier to reach (by moving three keys right plus one key down-right from the root note). The slightly sharp classic major third ~5/4 (13\40) is even easier to reach, at one key right plus one key down-right from the root note (this is the same as in the forward chroma version). Bryan Deister has used this mapping in 40edo improv (2026).
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