Lumatone mapping for 41edo: Difference between revisions

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{{Lumatone mapping intro}} Herman Miller has documented [http://www.youtube.com/watch?v=ZeUdl-54CrI five 41edo layouts], ~~and they are~~ available for download [~~http~~:~~//en.xen.wiki/images/b/b9/41edo_lumatone_layouts~~.zip ~~here~~].

{{Lumatone mapping intro}} [[Herman Miller]] has documented [http://www.youtube.com/watch?v=ZeUdl-54CrI five 41edo layouts], available for download at [[File: 41edo lumatone layouts.zip]].

== Diatonic ==

The [[Standard Lumatone mapping for Pythagorean]], as the name implies, works for using 41edo as an extended [[Pythagorean tuning]]. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/m8X-IqH8tok ''Waltz in 41edo''] (2025).

== Magic ==

The [[~~Magic~~]] mapping is particularly efficient at putting good intervals close to each other and dissonant ones far away, as demonstrated in more detail in the writings on the [[kite guitar]].

The [[magic]] mapping is particularly efficient at putting good intervals close to each other and dissonant ones far away, as demonstrated in more detail in the writings on the [[kite guitar]].

== Tetracot ==

The [[~~Tetracot~~]] mapping also puts consonant intervals within easy reach, making major, minor, and neutral triads particularly intuitive to play. Though the [[7L 6s]] ~~MOS~~ is somewhat lopsided, due to its rather hard 5:1 step ratio.

The [[tetracot]] mapping also puts consonant intervals within easy reach, making major, minor, and neutral triads particularly intuitive to play. Though the [[7L 6s]] mos is somewhat lopsided, due to its rather hard 5:1 step ratio.

This can be compressed down to a [[1L 5s]] mapping that extends range, but makes fingerings for common chords slightly more awkward

~~This can be compressed down to a [[1L 5s]] mapping that extends range, but makes fingerings for common chords slightly more awkward~~

== Rodan ==

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.

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.

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.

~~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.~~

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== Miracle (~~Miraculous~~) Lumatone mappings ==

== Miracle (miraculous) Lumatone mappings ==

It is possible to map [[41edo]] as a [[~~Miracle~~]] ([[~~Miracle/Extensions|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.

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 ==

[[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.

== See also ==

* [[41edo Keyboards#Lumatone Options]]

* [[41edo Keyboards #Lumatone Options]]

@@ Line 1: / Line 1: @@
-{{Lumatone mapping intro}} Herman Miller has documented [http://www.youtube.com/watch?v=ZeUdl-54CrI five 41edo layouts], and they are available for download [http://en.xen.wiki/images/b/b9/41edo_lumatone_layouts.zip here].
+{{Lumatone mapping intro}} [[Herman Miller]] has documented [http://www.youtube.com/watch?v=ZeUdl-54CrI five 41edo layouts], available for download at [[File: 41edo lumatone layouts.zip]].
 == Diatonic ==
+The [[Standard Lumatone mapping for Pythagorean]], as the name implies, works for using 41edo as an extended [[Pythagorean tuning]]. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/m8X-IqH8tok ''Waltz in 41edo''] (2025).
 {{Lumatone EDO mapping|n=41|start=2|xstep=7|ystep=-4}}
 == Magic ==
-The [[Magic]] mapping is particularly efficient at putting good intervals close to each other and dissonant ones far away, as demonstrated in more detail in the writings on the [[kite guitar]].
+The [[magic]] mapping is particularly efficient at putting good intervals close to each other and dissonant ones far away, as demonstrated in more detail in the writings on the [[kite guitar]].
 {{Lumatone EDO mapping|n=41|start=21|xstep=2|ystep=9}}
 == Tetracot ==
-The [[Tetracot]] mapping also puts consonant intervals within easy reach, making major, minor, and neutral triads particularly intuitive to play. Though the [[7L&nbsp;6s]] MOS is somewhat lopsided, due to its rather hard 5:1 step ratio.
+The [[tetracot]] mapping also puts consonant intervals within easy reach, making major, minor, and neutral triads particularly intuitive to play. Though the [[7L&nbsp;6s]] mos is somewhat lopsided, due to its rather hard 5:1 step ratio.
 {{Lumatone EDO mapping|n=41|start=29|xstep=6|ystep=-1}}
+This can be compressed down to a [[1L&nbsp;5s]] mapping that extends range, but makes fingerings for common chords slightly more awkward
-This can be compressed down to a [[1L&nbsp;5s]] mapping that extends range, but makes fingerings for common chords slightly more awkward
 {{Lumatone EDO mapping|n=41|start=23|xstep=6|ystep=5}}
 == Rodan ==
-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.
+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.
 {{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.
-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.
 {{Lumatone EDO mapping|n=41|start=18|xstep=8|ystep=-7}}
@@ Line 27: / Line 31: @@
 {{Lumatone EDO mapping|n=41|start=26|xstep=7|ystep=-1}}
-== Miracle (Miraculous) Lumatone mappings ==
+== Miracle (miraculous) Lumatone mappings ==
-It is possible to map [[41edo]] as a [[Miracle]] ([[Miracle/Extensions|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.
+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 ==
+[[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}}
 == See also ==
-* [[41edo Keyboards#Lumatone Options]]
+* [[41edo Keyboards #Lumatone Options]]
 {{Navbox Lumatone}}