Lumatone mapping for 41edo - Revision history

Overthink: /* Diatonic */ schismic mapping of 5/4

2026-05-06T02:15:11Z

Diatonic: schismic mapping of 5/4

← Older revision		Revision as of 02:15, 6 May 2026
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	== Diatonic ==		== 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).		The [[Standard Lumatone mapping for Pythagorean]], as the name implies, works for using 41edo as an extended [[Pythagorean tuning]]. However, as 41edo is a [[schismic]] tuning rather than a [[meantone]] one, the approximated [[5/4]] is found at the diminished fourth (C–F♭) rather than the major third (C–E). [[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}}		{{Lumatone EDO mapping\|n=41\|start=2\|xstep=7\|ystep=-4}}

Lucius Chiaraviglio: A few seconds of Bryan Deister's ''Winds Up The Best - 41edo'' (2026) switches mappings twice on the fly, making this demo video even better

2026-01-22T06:49:53Z

A few seconds of Bryan Deister's ''Winds Up The Best - 41edo'' (2026) switches mappings twice on the fly, making this demo video even better

← Older revision		Revision as of 06:49, 22 January 2026
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	=== Standard ===		=== Standard ===
	The standard [[6L 1s]] mapping is less lopsided and offers over 4½ octaves of range, but the octaves slope up. [[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>]), up to slightly beyond the halfway point of <nowiki>[short 2]</nowiki>, before switching on-the-fly to the [[baldy]] mapping (see below).		The standard [[6L 1s]] mapping is less lopsided and offers over 4½ octaves of range, but the octaves slope up. [[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>]), from a point a few seconds into <nowiki>[short 1]</nowiki> up to slightly beyond the halfway point of <nowiki>[short 2]</nowiki>, before switching on-the-fly to the [[baldy]] mapping (see below), which is also used in the first few seconds of <nowiki>[short 1]</nowiki>.
	{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}

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	== Baldy ==		== Baldy ==
	[[Bryan Deister]] has demonstrated this mapping (although offset in MIDI note position) ~~after slightly beyond the halfway point of~~ [https://www.youtube.com/shorts/Sk_bknNmgCU ''<nowiki>~~Winds Up The Best - 41edo~~ [short 2]</nowiki>''] ~~(2026~~), ~~having switched on-~~the~~-fly from~~ the [[tetracot]] mapping (see above).		[[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.
	{{Lumatone EDO mapping\|n=41\|start=26\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=26\|xstep=7\|ystep=-1}}

Lucius Chiaraviglio: /* Standard */ Add the other part of the demo video

2026-01-21T09:48:00Z

Standard: Add the other part of the demo video

← Older revision		Revision as of 09:48, 21 January 2026
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	=== Standard ===		=== Standard ===
	The standard [[6L 1s]] mapping is less lopsided and offers over 4½ octaves of range, but the octaves slope up. [[Bryan Deister]] has demonstrated this mapping (although offset in MIDI note position) ~~up to slightly beyond the halfway point of~~ [https://www.youtube.com/shorts/Sk_bknNmgCU ''<nowiki>~~Winds Up The Best - 41edo~~ [short 2]</nowiki>''] ~~(2026~~), before switching on-the-fly to the [[baldy]] mapping (see below).		The standard [[6L 1s]] mapping is less lopsided and offers over 4½ octaves of range, but the octaves slope up. [[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>]), up to slightly beyond the halfway point of <nowiki>[short 2]</nowiki>, before switching on-the-fly to the [[baldy]] mapping (see below).
	{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}

Lucius Chiaraviglio: Turns out that sometimes you get TWO Lumatone mappings in one Bryan Deister video

2026-01-11T10:11:52Z

Turns out that sometimes you get TWO Lumatone mappings in one Bryan Deister video

Lucius Chiaraviglio: /* Tetracot */ The 6L 1s mapping was mislabeled as 7L 6s — fixed this, and added a demo video for it

2026-01-10T10:01:04Z

Tetracot: The 6L 1s mapping was mislabeled as 7L 6s — fixed this, and added a demo video for it

← Older revision		Revision as of 10:01, 10 January 2026
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	== Tetracot ==		== 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.

			=== Standard ===
			The standard [[6L 1s]] mapping is less lopsided and offers over 4½ octaves of range, but the octaves slope up. [[Bryan Deister]] has demonstrated this mapping (although offset in MIDI note position) in [https://www.youtube.com/shorts/Sk_bknNmgCU ''<nowiki>Winds Up The Best - 41edo [short 2]</nowiki>''] (2026).

	{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}

	This can be compressed down to a [[1L 5s]] mapping that extends range, but makes fingerings for common chords slightly more awkward		=== Compressed ===
			This can be compressed down to a [[1L 5s]] mapping that extends range, but makes fingerings for common chords slightly more awkward, although it does slightly reduce the upward slope of octaves.

	{{Lumatone EDO mapping\|n=41\|start=23\|xstep=6\|ystep=5}}		{{Lumatone EDO mapping\|n=41\|start=23\|xstep=6\|ystep=5}}

Lucius Chiaraviglio: /* Miracle (miraculous) Lumatone mappings */ Insert Bryan Deister's Superkleismic mapping after this

2025-08-29T08:24:15Z

Miracle (miraculous) Lumatone mappings: Insert Bryan Deister's Superkleismic mapping after this

← Older revision		Revision as of 08:24, 29 August 2025
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	== Miracle (miraculous) Lumatone mappings ==		== Miracle (miraculous) Lumatone mappings ==
	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.		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.
			{{Lumatone EDO mapping\|n=41\|start=35\|xstep=4\|ystep=-1}}

	{{Lumatone EDO mapping\|n=41\|start=35\|xstep=4\|ystep=-1}}		== 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.
			{{Lumatone EDO mapping\|n=41\|start=2\|xstep=8\|ystep=-5}}

	== See also ==		== See also ==

Lucius Chiaraviglio: /* Diatonic */ Add demo video

2025-08-22T15:35:20Z

Diatonic: Add demo video

← Older revision		Revision as of 15:35, 22 August 2025
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	== Diatonic ==		== 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}}		{{Lumatone EDO mapping\|n=41\|start=2\|xstep=7\|ystep=-4}}

FloraC: Cleanup

2025-08-06T11:56:47Z

Cleanup

← Older revision		Revision as of 11:56, 6 August 2025
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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 ==		== Diatonic ==
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	== Magic ==		== 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}}		{{Lumatone EDO mapping\|n=41\|start=21\|xstep=2\|ystep=9}}

	== Tetracot ==		== 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.

	{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}

			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~~
	{{Lumatone EDO mapping\|n=41\|start=23\|xstep=6\|ystep=5}}		{{Lumatone EDO mapping\|n=41\|start=23\|xstep=6\|ystep=5}}

	== Rodan ==		== 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}}		{{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}}		{{Lumatone EDO mapping\|n=41\|start=18\|xstep=8\|ystep=-7}}

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	{{Lumatone EDO mapping\|n=41\|start=26\|xstep=7\|ystep=-1}}		{{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 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.

	{{Lumatone EDO mapping\|n=41\|start=35\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=35\|xstep=4\|ystep=-1}}

	== See also ==		== See also ==
	* [[41edo Keyboards#Lumatone Options]]		* [[41edo Keyboards #Lumatone Options]]

	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Lucius Chiaraviglio: /* Baldy */ Insert Bryan Deister's Miracle (Miraculous) Lumatone mapping for 41edo after this

2025-07-14T07:16:17Z

Baldy: Insert Bryan Deister's Miracle (Miraculous) Lumatone mapping for 41edo after this

← Older revision		Revision as of 07:16, 14 July 2025
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	== Baldy ==		== Baldy ==
	{{Lumatone EDO mapping\|n=41\|start=26\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=26\|xstep=7\|ystep=-1}}

			== 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.
			{{Lumatone EDO mapping\|n=41\|start=35\|xstep=4\|ystep=-1}}

	== See also ==		== See also ==

ArrowHead294 at 11:19, 3 July 2025

2025-07-03T11:19:28Z

← Older revision		Revision as of 11:19, 3 July 2025
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	{{Lumatone mapping intro}} Herman Miller has documented ~~five 41edo layouts https~~://www.youtube.com/watch?v=ZeUdl-54CrI~~. Zip file of these~~ layouts~~: <nowiki>https~~://en.xen.wiki/images/b/b9/41edo_lumatone_layouts.zip~~</nowiki>~~		{{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].

	== Diatonic ==		== Diatonic ==
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	== See also ==		== See also ==
	* [[41edo Keyboards#Lumatone Options]]		* [[41edo Keyboards#Lumatone Options]]

	{{Navbox Lumatone}}		{{Navbox Lumatone}}

← Older revision		Revision as of 10:11, 11 January 2026
Line 14:		Line 14:

	=== Standard ===		=== Standard ===
	The standard [[6L 1s]] mapping is less lopsided and offers over 4½ octaves of range, but the octaves slope up. [[Bryan Deister]] has demonstrated this mapping (although offset in MIDI note position) in [https://www.youtube.com/shorts/Sk_bknNmgCU ''<nowiki>Winds Up The Best - 41edo [short 2]</nowiki>''] (2026).		The standard [[6L 1s]] mapping is less lopsided and offers over 4½ octaves of range, but the octaves slope up. [[Bryan Deister]] has demonstrated this mapping (although offset in MIDI note position) up to slightly beyond the halfway point of [https://www.youtube.com/shorts/Sk_bknNmgCU ''<nowiki>Winds Up The Best - 41edo [short 2]</nowiki>''] (2026), before switching on-the-fly to the [[baldy]] mapping (see below).

	{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=29\|xstep=6\|ystep=-1}}

	=== Compressed ===		=== Compressed ===
	This can be compressed down to a [[1L 5s]] mapping that extends range, but makes fingerings for common chords slightly more awkward, although it does slightly reduce the upward slope of octaves.		This can be compressed down to a [[1L 5s]] mapping that extends range, but makes fingerings for common chords slightly more awkward, although it does slightly reduce the upward slope of octaves.

	{{Lumatone EDO mapping\|n=41\|start=23\|xstep=6\|ystep=5}}		{{Lumatone EDO mapping\|n=41\|start=23\|xstep=6\|ystep=5}}

	== Rodan ==		== 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}}		{{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}}		{{Lumatone EDO mapping\|n=41\|start=18\|xstep=8\|ystep=-7}}

	== Baldy ==		== Baldy ==
			[[Bryan Deister]] has demonstrated this mapping (although offset in MIDI note position) after slightly beyond the halfway point of [https://www.youtube.com/shorts/Sk_bknNmgCU ''<nowiki>Winds Up The Best - 41edo [short 2]</nowiki>''] (2026), having switched on-the-fly from the [[tetracot]] mapping (see above).
	{{Lumatone EDO mapping\|n=41\|start=26\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=41\|start=26\|xstep=7\|ystep=-1}}

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	== Superkleismic Lumatone mappings ==		== 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.		[[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.
	{{Lumatone EDO mapping\|n=41\|start=2\|xstep=8\|ystep=-5}}		{{Lumatone EDO mapping\|n=41\|start=2\|xstep=8\|ystep=-5}}