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.
{{Lumatone mapping intro}}
 
== Whitewood ==
The [[Whitewood]] mapping is perhaps the most diatonic-like mapping that covers all notes. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/1nWL2qEcI-Q ''28edo improvisation''] (2022).
{{Lumatone EDO mapping|n=28|start=20|xstep=4|ystep=-1}}
{{Lumatone EDO mapping|n=28|start=20|xstep=4|ystep=-1}}


Since the 5th harmonic is easily the best tuned interval, the [[Wuerschmidt]] mapping is a good way to maximise your range and make consonant chords easy to reach.  
== 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}}
{{Lumatone EDO mapping|n=28|start=21|xstep=9|ystep=-8}}


{{Lumatone mapping navigation}}
== Bryan Deister's layout (Machine) ==
 
[[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=4|xstep=5|ystep=-3}}
 
{{Navbox Lumatone}}

Latest revision as of 08:39, 16 December 2025

There are many conceivable ways to map 28edo onto the onto the Lumatone keyboard. However, it has 4 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.

Whitewood

The Whitewood mapping is perhaps the most diatonic-like mapping that covers all notes. Bryan Deister demonstrates this mapping in 28edo improvisation (2022).

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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.

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Bryan Deister's layout (Machine)

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 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.

4
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21
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18
23
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