Lumatone mapping for 40edo: Difference between revisions

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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]].~~

== Diatonic ==

== 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.

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 ===

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).

@@ Line 1: / Line 1: @@
-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}}
+== 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}}
-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}}
-{{Lumatone mapping navigation}}
+{{Navbox Lumatone}}