Lumatone mapping for 41edo: Difference between revisions

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== Rodan ==

== Slendric (Rodan) + Guiron ==

~~If you want to maximise your range while having access to all notes in each octave~~, the ~~compressed~~ [[rodan]] ~~mapping~~ is ~~about as good as you can get~~.

In 41edo, the near-just fifth ~[[3/2]] is 24\41, and dividing this into three parts yields a slightly sharp septimal major second ~[[8/7]], which is the generator for [[slendric]] and its extension [[rodan]] and for [[guiron]], which meets with slendric/rodan at 41edo. In both versions below, this generator (8\41) is reached very simply by moving one key right from the root note.

~~{{Lumatone EDO mapping|n=41|start=17|xstep=8|ystep=-1}}~~

~~However~~, ~~this~~ puts octaves all over the place. The expanded rodan ~~and [[baldy]] mappings~~ still ~~have~~ a wider range ~~than~~ the ~~standard one~~ and ~~are~~ more ergonomic for play.

=== Compressed ===

If you want to maximise your range while having access to all notes in each octave, the compressed rodan mapping is about as good as you can get (at 6¼ octaves); however, it puts octaves all over the place.

=== Expanded ===

The expanded rodan mapping still has a wider range (somewhat over five octaves except for one missing note 38 in the top octave) compared to the diatonic mapping (just under five octaves) and is more ergonomic for play, as is the [[baldy]] mapping below this.

== Baldy ==

[[Bryan Deister]] has demonstrated ~~this~~ mapping (although offset in MIDI note position) in ''Winds Up The Best - 41edo'' (2026) ([https://www.youtube.com/shorts/Ss5OZ08qejw <nowiki>[short 1]</nowiki>], [https://www.youtube.com/shorts/Sk_bknNmgCU <nowiki>[short 2]</nowiki>]), in the first few seconds of <nowiki>[short 1]</nowiki> and the last slightly less than half of <nowiki>[short 2]</nowiki>, with the rest being in the [[tetracot]] mapping (see above), again having switched mappings on the fly.

[[Bryan Deister]] has demonstrated the baldy mapping (although offset in MIDI note position) in ''Winds Up The Best - 41edo'' (2026) ([https://www.youtube.com/shorts/Ss5OZ08qejw <nowiki>[short 1]</nowiki>], [https://www.youtube.com/shorts/Sk_bknNmgCU <nowiki>[short 2]</nowiki>]), in the first few seconds of <nowiki>[short 1]</nowiki> and the last slightly less than half of <nowiki>[short 2]</nowiki>, with the rest being in the [[tetracot]] mapping (see above), again having switched mappings on the fly.

== Miracle (miraculous) ~~Lumatone mappings~~ ==

== Miracle (miraculous) ==

It is possible to map [[41edo]] as a [[miracle]] ([[miraculous]]) tuning, with a [[8L 3s]] scale (4:3 step ratio), using a secor (~[[15/14]] tempered together with ~[[16/15]]) which is in turn tempered together with ~[[14/13]] (as per the miraculous 13-limit extension). In this mapping, the range is only three octaves, but the octaves are perfectly level, each note is repeated at least twice, with a few being repeated three times, thus enabling the use of two manuals if the layout is offset appropriately. [[Bryan Deister]] has used this layout in [https://www.youtube.com/shorts/kLMuRP82bZw ''microtonal dance in 41edo ''] (2023), although without a color scheme that would show the layout.

== Superkleismic ~~Lumatone mappings~~ ==

== Superkleismic ==

[[Bryan Deister]] has demonstrated a [[superkleismic]] [[4L 3s]] (8:3 step ratio) mapping for [[41edo]], in [https://www.youtube.com/shorts/Ur--SKiRsY0 ''41edo groove''] (2025). Bryan Deister explains that the coloring in this video highlights major triads, where going right and up yields a major third (~[[5/4]], somewhat flat) and going right three times yields the fifth (~[[3/2]], near-just). The range is somewhat over five octaves, which slope down moderately.

== Bohpier ==

Since [[41edo]] is very close to [[BPS]] (Bohlen–Pierce–Stearns) with its generator split into 5 equal parts and the addition of prime 2, it makes sense to map it for [[bohpier]] temperament, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/shorts/ZSRxYfCM1FQ ''41edo improv''] (2026-09-01). The generator 5\41 (reached very simply by moving one key right from the root note) functions as a flat undecimal neutral second ~[[12/11]] and a sharp lesser tridecimal neutral second ~[[13/12]]. The range is somewhat over 4½ octaves, although the octaves slope down severely, incurring vertical wraparounds.

== See also ==

@@ Line 21: / Line 21: @@
 {{Lumatone EDO mapping|n=41|start=23|xstep=6|ystep=5}}
-== Rodan ==
+== Slendric (Rodan) + Guiron ==
-If you want to maximise your range while having access to all notes in each octave, the compressed [[rodan]] mapping is about as good as you can get.
+In 41edo, the near-just fifth ~[[3/2]] is 24\41, and dividing this into three parts yields a slightly sharp septimal major second ~[[8/7]], which is the generator for [[slendric]] and its extension [[rodan]] and for [[guiron]], which meets with slendric/rodan at 41edo. In both versions below, this generator (8\41) is reached very simply by moving one key right from the root note.
-{{Lumatone EDO mapping|n=41|start=17|xstep=8|ystep=-1}}
-However, this puts octaves all over the place. The expanded rodan and [[baldy]] mappings still have a wider range than the standard one and are more ergonomic for play.
+=== Compressed ===
-{{Lumatone EDO mapping|n=41|start=18|xstep=8|ystep=-7}}
+If you want to maximise your range while having access to all notes in each octave, the compressed rodan mapping is about as good as you can get (at 6¼ octaves); however, it puts octaves all over the place.
+{{Lumatone EDO mapping|n=41|start=23|xstep=8|ystep=-1}}
+=== Expanded ===
+The expanded rodan mapping still has a wider range (somewhat over five octaves except for one missing note 38 in the top octave) compared to the diatonic mapping (just under five octaves) and is more ergonomic for play, as is the [[baldy]] mapping below this.
+{{Lumatone EDO mapping|n=41|start=10|xstep=8|ystep=-7}}
 == Baldy ==
-[[Bryan Deister]] has demonstrated this mapping (although offset in MIDI note position) in ''Winds Up The Best - 41edo'' (2026) ([https://www.youtube.com/shorts/Ss5OZ08qejw <nowiki>[short 1]</nowiki>], [https://www.youtube.com/shorts/Sk_bknNmgCU <nowiki>[short 2]</nowiki>]), in the first few seconds of <nowiki>[short 1]</nowiki> and the last slightly less than half of <nowiki>[short 2]</nowiki>, with the rest being in the [[tetracot]] mapping (see above), again having switched mappings on the fly.
+[[Bryan Deister]] has demonstrated the baldy mapping (although offset in MIDI note position) in ''Winds Up The Best - 41edo'' (2026) ([https://www.youtube.com/shorts/Ss5OZ08qejw <nowiki>[short 1]</nowiki>], [https://www.youtube.com/shorts/Sk_bknNmgCU <nowiki>[short 2]</nowiki>]), in the first few seconds of <nowiki>[short 1]</nowiki> and the last slightly less than half of <nowiki>[short 2]</nowiki>, with the rest being in the [[tetracot]] mapping (see above), again having switched mappings on the fly.
 {{Lumatone EDO mapping|n=41|start=26|xstep=7|ystep=-1}}
-== Miracle (miraculous) Lumatone mappings ==
+== Miracle (miraculous) ==
 It is possible to map [[41edo]] as a [[miracle]] ([[miraculous]]) tuning, with a [[8L&nbsp;3s]] scale (4:3 step ratio), using a secor (~[[15/14]] tempered together with ~[[16/15]]) which is in turn tempered together with ~[[14/13]] (as per the miraculous 13-limit extension). In this mapping, the range is only three octaves, but the octaves are perfectly level, each note is repeated at least twice, with a few being repeated three times, thus enabling the use of two manuals if the layout is offset appropriately. [[Bryan Deister]] has used this layout in [https://www.youtube.com/shorts/kLMuRP82bZw ''microtonal dance in 41edo ''] (2023), although without a color scheme that would show the layout.
 {{Lumatone EDO mapping|n=41|start=35|xstep=4|ystep=-1}}
-== Superkleismic Lumatone mappings ==
+== Superkleismic ==
 [[Bryan Deister]] has demonstrated a [[superkleismic]] [[4L&nbsp;3s]] (8:3 step ratio) mapping for [[41edo]], in [https://www.youtube.com/shorts/Ur--SKiRsY0 ''41edo groove''] (2025). Bryan Deister explains that the coloring in this video highlights major triads, where going right and up yields a major third (~[[5/4]], somewhat flat) and going right three times yields the fifth (~[[3/2]], near-just). The range is somewhat over five octaves, which slope down moderately.
 {{Lumatone EDO mapping|n=41|start=2|xstep=8|ystep=-5}}
+== Bohpier ==
+Since [[41edo]] is very close to [[BPS]] (Bohlen–Pierce–Stearns) with its generator split into 5 equal parts and the addition of prime 2, it makes sense to map it for [[bohpier]] temperament, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/shorts/ZSRxYfCM1FQ ''41edo improv''] (2026-09-01). The generator 5\41 (reached very simply by moving one key right from the root note) functions as a flat undecimal neutral second ~[[12/11]] and a sharp lesser tridecimal neutral second ~[[13/12]]. The range is somewhat over 4½ octaves, although the octaves slope down severely, incurring vertical wraparounds.
+{{Lumatone EDO mapping|n=41|start=4|xstep=5|ystep=4}}
 == See also ==