Lumatone mapping for 32edo: Difference between revisions

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== Diatonic ==

== Pseudo-Isomorphic Pseudo-Diatonic ==

A pseudo-isomorphic pseudo-diatonic mapping for [[32edo]] that duplicates note 0 as note 32 in a mapping taken from [[33edo]] yields an alternate approach to diatonic playing, as demonstrated in [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025).

Note that since 32edo is a [[ultrapyth]] temperament, the best approximation to [[5/4]] is a ~~double~~ augmented unison, which makes for awkward fingerings. The [[sixix]] mapping makes the 5-limit as easily accessible as possible ~~while also maximising~~ the range.

== Sixix ==

Note that since 32edo is a [[ultrapyth]] temperament, the best approximation to [[5/4]] is a doubly-augmented unison, which makes for awkward fingerings. The [[sixix]] mapping makes the 5-limit as easily accessible as possible.

=== Compressed ===

The compressed mapping maximizes the range at 8½ octaves (which slope upwards slightly) with no missed notes and no repeated notes.

=== Expanded ===

Although the compressed [[Sixix]] mapping for [[32edo]] is the most efficient in terms of getting range without missing notes and has only a gentle octave slope, the lack of vertical repeats may cause trouble at vertical wraparounds, and some fingerings are still awkward. [[Bryan Deister]] has demonstrated a [[4L 3s]] mapping (with a 5:4 step ratio) that is more relaxed, in ''Licorice Hearted - 32edo'' (2026) ([https://www.youtube.com/shorts/zFgw-AfGEcQ <nowiki>[short 1]</nowiki>]; [https://www.youtube.com/shorts/ocgMIf4xopo <nowiki>[short 2]</nowiki>]), although with different placement of the first MIDI note 0. Both the flat (best) and sharp (second-best) approximations of the classic major third ~[[5/4]] are easily accessible (although the flat approximation is slightly easier), as is the (sharp) fifth ~[[3/2]]. The contiguous range is just under 5¼ octaves, with a moderate downwards slope.

== Amity ==

[[Bryan Deister]] has used a [[6L 1s]] (with a 5:2 step ratio) [[Amity]] mapping for [[32edo]], in [https://www.youtube.com/shorts/OUlNwN-bAsc ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)''] (2025). The Amity generator acute minor third 9\32 is too sharp to map as ~[[6/5]] and instead is mapped as a flat neutral third ~[[11/9]]. Both the flat (best) and sharp (second-best) approximations of the classic major third ~[[5/4]] are easily accessible (although the sharp approximation is a bit easier), as is the (sharp) fifth ~[[3/2]] (which is, however, oddly more in line with the flat major third, whereas Amity temperament for 32edo specifies the sharp major third, in the 32c [[val]]). The range is just over 4½ octaves, with a mild upwards slope.

@@ Line 1: / Line 1: @@
 {{Lumatone mapping intro}}
+== Diatonic ==
 {{Lumatone EDO mapping|n=32|start=8|xstep=6|ystep=-5}}
+== Pseudo-Isomorphic Pseudo-Diatonic ==
+A pseudo-isomorphic pseudo-diatonic mapping for [[32edo]] that duplicates note 0 as note 32 in a mapping taken from [[33edo]] yields an alternate approach to diatonic playing, as demonstrated in [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025).
+{{Lumatone EDO mapping|n=33|start=27|xstep=5|ystep=-1}}
-Note that since 32edo is a [[ultrapyth]] temperament, the best approximation to [[5/4]] is a double augmented unison, which makes for awkward fingerings. The [[sixix]] mapping makes the 5-limit as easily accessible as possible while also maximising the range.
+== Sixix ==
+Note that since 32edo is a [[ultrapyth]] temperament, the best approximation to [[5/4]] is a doubly-augmented unison, which makes for awkward fingerings. The [[sixix]] mapping makes the 5-limit as easily accessible as possible.
+=== Compressed ===
+The compressed mapping maximizes the range at 8½ octaves (which slope upwards slightly) with no missed notes and no repeated notes.
 {{Lumatone EDO mapping|n=32|start=30|xstep=9|ystep=-4}}
+=== Expanded ===
+Although the compressed [[Sixix]] mapping for [[32edo]] is the most efficient in terms of getting range without missing notes and has only a gentle octave slope, the lack of vertical repeats may cause trouble at vertical wraparounds, and some fingerings are still awkward. [[Bryan Deister]] has demonstrated a [[4L&nbsp;3s]] mapping (with a 5:4 step ratio) that is more relaxed, in ''Licorice Hearted - 32edo'' (2026) ([https://www.youtube.com/shorts/zFgw-AfGEcQ <nowiki>[short 1]</nowiki>]; [https://www.youtube.com/shorts/ocgMIf4xopo <nowiki>[short 2]</nowiki>]), although with different placement of the first MIDI note 0. Both the flat (best) and sharp (second-best) approximations of the classic major third ~[[5/4]] are easily accessible (although the flat approximation is slightly easier), as is the (sharp) fifth ~[[3/2]]. The contiguous range is just under 5¼ octaves, with a moderate downwards slope.
+{{Lumatone EDO mapping|n=32|start=29|xstep=5|ystep=-1}}
+== Amity ==
+[[Bryan Deister]] has used a [[6L&nbsp;1s]] (with a 5:2 step ratio) [[Amity]] mapping for [[32edo]], in [https://www.youtube.com/shorts/OUlNwN-bAsc ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)''] (2025). The Amity generator acute minor third 9\32 is too sharp to map as ~[[6/5]] and instead is mapped as a flat neutral third ~[[11/9]]. Both the flat (best) and sharp (second-best) approximations of the classic major third ~[[5/4]] are easily accessible (although the sharp approximation is a bit easier), as is the (sharp) fifth ~[[3/2]] (which is, however, oddly more in line with the flat major third, whereas Amity temperament for 32edo specifies the sharp major third, in the 32c [[val]]). The range is just over 4½ octaves, with a mild upwards slope.
+{{Lumatone EDO mapping|n=32|start=4|xstep=5|ystep=-3}}
 {{Navbox Lumatone}}