Lumatone mapping for 28edo: Difference between revisions

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~~There are many conceivable ways to map [[28edo]] onto the~~ [[~~Lumatone~~]] ~~keyboard. However, as it has multiple small rings of 5ths, the [[Standard Lumatone~~ mapping ~~for Pythagorean]]~~ is ~~not one of them. Instead,~~ the most diatonic-like mapping ~~is the [[whitewood]] one~~.

== Whitewood ==

The [[Whitewood]] mapping is perhaps the most diatonic-like mapping that covers all notes.

== Würschmidt ==

Since the 5th harmonic is easily the best tuned interval, the [[Würschmidt]] mapping is a good way to maximise your range (a bit over eight octaves, nearly level) and make consonant chords easy to reach.

== Bryan Deister's layout (Machine) ==

~~Since~~ the ~~5th harmonic~~ is ~~easily the best tuned interval~~, ~~the~~ [[~~Würschmidt~~]] ~~mapping~~ is a ~~good way to maximise your range~~ and ~~make consonant chords easy to reach~~.

[[Bryan Deister]] has used a layout for [[28edo]] that was inspired by the layout for [[29edo]] (rather than being made for any specific temperament), as demonstrated in [https://www.youtube.com/shorts/--BIQKJ9uvI ''minuet in 28edo''] (2025). The right-moving generator is a somewhat sharp Pythagorean whole tone (~[[9/8]], or near-just [[17/15]], 5\28). The up-moving generator is an almost-just tridecimal supraminor second (~[[14/13]], 3\28). The range is a bit over five octaves, with octaves alternating near/far and middle with an overall small upwards slant. Although this layout was not designed for any particular temperament, it so happens that the right-moving generator matches [[Machine]].

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-There are many conceivable ways to map [[28edo]] onto the [[Lumatone]] keyboard. However, as it has multiple small rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Instead, the most diatonic-like mapping is the [[whitewood]] one.
+{{Lumatone mapping intro}}
+== Whitewood ==
+The [[Whitewood]] mapping is perhaps the most diatonic-like mapping that covers all notes.
 {{Lumatone EDO mapping|n=28|start=20|xstep=4|ystep=-1}}
+== Würschmidt ==
+Since the 5th harmonic is easily the best tuned interval, the [[Würschmidt]] mapping is a good way to maximise your range (a bit over eight octaves, nearly level) and make consonant chords easy to reach.
+{{Lumatone EDO mapping|n=28|start=21|xstep=9|ystep=-8}}
+== Bryan Deister's layout (Machine) ==
-Since the 5th harmonic is easily the best tuned interval, the [[Würschmidt]] mapping is a good way to maximise your range and make consonant chords easy to reach.
+[[Bryan Deister]] has used a layout for [[28edo]] that was inspired by the layout for [[29edo]] (rather than being made for any specific temperament), as demonstrated in [https://www.youtube.com/shorts/--BIQKJ9uvI ''minuet in 28edo''] (2025). The right-moving generator is a somewhat sharp Pythagorean whole tone (~[[9/8]], or near-just [[17/15]], 5\28). The up-moving generator is an almost-just tridecimal supraminor second (~[[14/13]], 3\28).  The range is a bit over five octaves, with octaves alternating near/far and middle with an overall small upwards slant. Although this layout was not designed for any particular temperament, it so happens that the right-moving generator matches [[Machine]].
-{{Lumatone EDO mapping|n=28|start=21|xstep=9|ystep=-8}}
+{{Lumatone EDO mapping|n=28|start=4|xstep=5|ystep=-3}}
 {{Navbox Lumatone}}