Lumatone mapping for 40edo: Difference between revisions

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Blackwood: Add Bryan Deister's reverse chroma mapping that favors ease of use at the expense of range
 
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== Blackwood ==
== Blackwood ==
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.  
=== 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}}
{{Lumatone EDO mapping|n=40|start=34|xstep=8|ystep=-3}}
=== 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 [https://www.youtube.com/shorts/fREuVtq875U ''40edo improv''] (2026).
{{Lumatone EDO mapping|n=40|start=36|xstep=5|ystep=3}}


{{Navbox Lumatone}}
{{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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