Lumatone mapping for 52edo: Difference between revisions

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== Diminished + Mothra ==

== Diminished + Pseudo-Mothra ==

[[Bryan Deister]] has used a layout for [[52edo]] in which the generator is 10\52, as the near-just septimal major second ~[[8/7]] (and three of these yielding the fifth ~[[3/2]]), making this a [[Gamelismic_clan#mothra|mothra]] ~~mapping~~, but with the [[4L 4s]] scale (10:3 step ratio) and the fact that 52edo tempers out the greater diesis [[648/625]], thereby using a quarter-octave period as in [[Diminished_(temperament)|diminished]] temperament, without which ~~mothra~~ would otherwise be [[Saturation, torsion, and contorsion|contorted]] ~~with 52edo~~. Octaves slant downwards (incurring a vertical wraparound), and the compass is 5⅛ octaves, with no missed notes and no repeated notes. This layout is demonstrated in [https://www.youtube.com/shorts/ovA5-YkjxWk ''52edo groove''] (2026); in the video, some notes are cut off at the left and right edges due to the use of only 2 MIDI channels.

[[Bryan Deister]] has used a layout for [[52edo]] in which the generator is 10\52, as the near-just septimal major second ~[[8/7]] (and three of these yielding the fifth ~[[3/2]]), making this a [[gamelismic clan]] mapping similar to [[Gamelismic_clan#mothra|mothra]], but much simpler in obtaining the classic major third ~[[5/4]] at 4 generators instead of 12 (which would be the case in real mothra), and with the [[4L 4s]] scale (10:3 step ratio) and the fact that 52edo tempers out the greater diesis [[648/625]], thereby using a quarter-octave period as in [[Diminished_(temperament)|diminished]] temperament, without which the temperament would otherwise be [[Saturation, torsion, and contorsion|contorted]] (the quarter-octave period is required to wrap the generator stack properly). Octaves slant downwards (incurring a vertical wraparound), and the compass is 5⅛ octaves, with no missed notes and no repeated notes. This layout is demonstrated in [https://www.youtube.com/shorts/ovA5-YkjxWk ''52edo groove''] (2026); in the video, some notes are cut off at the left and right edges due to the use of only 2 MIDI channels.

@@ Line 16: / Line 16: @@
 {{Lumatone EDO mapping|n=53|start=4|xstep=9|ystep=-5}}
-== Diminished + Mothra ==
+== Diminished + Pseudo-Mothra ==
-[[Bryan Deister]] has used a layout for [[52edo]] in which the generator is 10\52, as the near-just septimal major second ~[[8/7]] (and three of these yielding the fifth ~[[3/2]]), making this a [[Gamelismic_clan#mothra|mothra]] mapping, but with the [[4L&nbsp;4s]] scale (10:3 step ratio) and the fact that 52edo tempers out the greater diesis [[648/625]], thereby using a quarter-octave period as in [[Diminished_(temperament)|diminished]] temperament, without which mothra would otherwise be [[Saturation, torsion, and contorsion|contorted]] with 52edo. Octaves slant downwards (incurring a vertical wraparound), and the compass is 5⅛ octaves, with no missed notes and no repeated notes. This layout is demonstrated in [https://www.youtube.com/shorts/ovA5-YkjxWk ''52edo groove''] (2026); in the video, some notes are cut off at the left and right edges due to the use of only 2 MIDI channels.
+[[Bryan Deister]] has used a layout for [[52edo]] in which the generator is 10\52, as the near-just septimal major second ~[[8/7]] (and three of these yielding the fifth ~[[3/2]]), making this a [[gamelismic clan]] mapping similar to [[Gamelismic_clan#mothra|mothra]], but much simpler in obtaining the classic major third ~[[5/4]] at 4 generators instead of 12 (which would be the case in real mothra), and with the [[4L&nbsp;4s]] scale (10:3 step ratio) and the fact that 52edo tempers out the greater diesis [[648/625]], thereby using a quarter-octave period as in [[Diminished_(temperament)|diminished]] temperament, without which the temperament would otherwise be [[Saturation, torsion, and contorsion|contorted]] (the quarter-octave period is required to wrap the generator stack properly). Octaves slant downwards (incurring a vertical wraparound), and the compass is 5⅛ octaves, with no missed notes and no repeated notes. This layout is demonstrated in [https://www.youtube.com/shorts/ovA5-YkjxWk ''52edo groove''] (2026); in the video, some notes are cut off at the left and right edges due to the use of only 2 MIDI channels.
 {{Lumatone EDO mapping|n=52|start=4|xstep=10|ystep=-7}}
 {{Navbox Lumatone}}