Lumatone mapping for 52edo: Difference between revisions

(One intermediate revision by the same user not shown)

Line 8:

The [[Lumatone mapping for neutral thirds scales|neutral thirds mapping]] is probably easier to navigate.

== Porcupine ==

[[52edo]] is a valid [[porcupine]] tuning (with scale [[1L 6s]] having a 10:7 step ratio), as [[Bryan Deister]] demonstrates in [https://www.youtube.com/shorts/YMjz4thpjxQ ''52edo jam''] (2026). The range with no missed notes is 4½ octaves, which slope upwards moderately.

== Diminished + Pseudo-Pentacircle ==

Line 16:

Line 20:

== 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 8: / Line 8: @@
 The [[Lumatone mapping for neutral thirds scales|neutral thirds mapping]] is probably easier to navigate.
 {{Lumatone EDO mapping|n=52|start=43|xstep=7|ystep=1}}
+== Porcupine ==
+[[52edo]] is a valid [[porcupine]] tuning (with scale [[1L&nbsp;6s]] having a 10:7 step ratio), as [[Bryan Deister]] demonstrates in [https://www.youtube.com/shorts/YMjz4thpjxQ ''52edo jam''] (2026). The range with no missed notes is 4½ octaves, which slope upwards moderately.
+{{Lumatone EDO mapping|n=52|start=13|xstep=7|ystep=3}}
 == Diminished + Pseudo-Pentacircle ==
@@ Line 16: / Line 20: @@
 {{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}}