Lumatone mapping for 58edo: Difference between revisions

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== Echidna ==

The [[6L 2s]] [[~~Echidna~~]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].) [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/4J4MNno-4PA ''58edo improv''] (2025).

The [[6L 2s]] [[echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].) [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/4J4MNno-4PA ''58edo improv''] (2025-05-14).

== Secant ==

[[Bryan Deister]] has demonstrated the [[secant]] [[6L 2s]] (9:2 step ratio) mapping for [[58edo]] in [https://www.youtube.com/shorts/c811_Q-k46c ''58edo improv''] (2026-10-07). The rightward generator 9\10 is a slightly sharp ptolemaic whole tone ~[[10/9]], and the octave is divided in half; three of these stack to make a sharp undecimal major fourth ~[[11/8]]; going down from a [[semioctave]] above the root note, one generator (now one key left) makes a somewhat flat undecimal (pentacircle) major third ~[[14/11]]; and going down by another makes a somewhat flat septimal major second ~[[8/7]]. The range is four octaves with a gentle upwards slope, no missed notes, and a few repeated notes.

== Hemififths ==

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== Pseudo-Isomorphic Pseudo-Diatonic ==

[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 58edo that uses the flat fifth diatonic layout of [[59edo]], with note 58 being a duplicate of note 0, in [[https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025).

[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 58edo that uses the flat fifth diatonic layout of [[59edo]], with note 58 being a duplicate of note 0, in [https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025).

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 == Echidna ==
-The [[6L&nbsp;2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].) [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/4J4MNno-4PA ''58edo improv''] (2025).
+The [[6L&nbsp;2s]] [[echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].) [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/4J4MNno-4PA ''58edo improv''] (2025-05-14).
 {{Lumatone EDO mapping|n=58|start=54|xstep=8|ystep=-3}}
+== Secant ==
+[[Bryan Deister]] has demonstrated the [[secant]] [[6L&nbsp;2s]] (9:2 step ratio) mapping for [[58edo]] in [https://www.youtube.com/shorts/c811_Q-k46c ''58edo improv''] (2026-10-07). The rightward generator 9\10 is a slightly sharp ptolemaic whole tone ~[[10/9]], and the octave is divided in half; three of these stack to make a sharp undecimal major fourth ~[[11/8]]; going down from a [[semioctave]] above the root note, one generator (now one key left) makes a somewhat flat undecimal (pentacircle) major third ~[[14/11]]; and going down by another makes a somewhat flat septimal major second ~[[8/7]]. The range is four octaves with a gentle upwards slope, no missed notes, and a few repeated notes.
+{{Lumatone EDO mapping|n=58|start=4|xstep=9|ystep=-7}}
 == Hemififths ==
@@ Line 29: / Line 33: @@
 == Pseudo-Isomorphic Pseudo-Diatonic ==
-[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 58edo that uses the flat fifth diatonic layout of [[59edo]], with note 58 being a duplicate of note 0, in [[https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025).
+[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 58edo that uses the flat fifth diatonic layout of [[59edo]], with note 58 being a duplicate of note 0, in [https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025).
 {{Lumatone EDO mapping|n=59|start=49|xstep=9|ystep=-2}}
 {{Navbox Lumatone}}