User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings - Revision history

Lucius Chiaraviglio: /* Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings / / Sensei Lumatone mappings */ Move these to their proper places

2026-06-04T04:38:27Z

Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings: Sensei Lumatone mappings: Move these to their proper places

@@ Line 6: / Line 6: @@
 Moved:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:20, 21 June 2025 (UTC)
 == Amity Lumatone mappings ==
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 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:30, 17 July 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:35, 21 July 2025 (UTC)
 == Sephiroth + Variant Orwell + Meansquared Lumatone mappings ==
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 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:32, 27 August 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:24, 29 August 2025 (UTC)
 == Whitewood + Bohpier Lumatone mappings ==

Lucius Chiaraviglio: /* 51edo (demonstrated to work but awaiting approval) */ Got approval

2026-05-30T02:05:32Z

51edo (demonstrated to work but awaiting approval): Got approval

← Older revision		Revision as of 02:05, 30 May 2026
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	== Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings ==		== Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings ==

	=== 51edo (demonstrated to work ~~but awaiting approval~~) ===		=== 51edo (demonstrated to work) ===

	One way of treating [[51edo]] is as three versions of [[17edo]], rearranged so as to divide the fifth and the octave also into three parts each, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/watch?v=k3NOBYbiqpo ''51edo improv''] (2026-04-22). This is very much like [[landscape]] temperament in equating the octave with a stack of three near-just quasi-tempered major thirds (~[[63/50]], as 17\51), but requires use of the 2.3.25.7 subgroup; division of the fifth (~[[3/2]], as 30\51) into three parts (slightly sharp septimal major seconds ~[[8/7]], as 10\51) also puts this temperament in the [[gamelismic clan]] (thus related to [[tritikleismic]], but again using the 2.3.25.7 subgroup). The obvious scale moving up and right is [[3L 3s]] (10:7 step ratio); the obvious scale moving right and down-right is [[9L 4s (4/1-equivalent)]] (10:3 step ratio); the upward and downward movements in the latter scale nearly cancel out so that while octaves alternate between far and near, double octaves just barely slope down. The range is 5¼ octaves with no missed notes and no repeated notes.		One way of treating [[51edo]] is as three versions of [[17edo]], rearranged so as to divide the fifth and the octave also into three parts each, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/watch?v=k3NOBYbiqpo ''51edo improv''] (2026-04-22). This is very much like [[landscape]] temperament in equating the octave with a stack of three near-just quasi-tempered major thirds (~[[63/50]], as 17\51), but requires use of the 2.3.25.7 subgroup; division of the fifth (~[[3/2]], as 30\51) into three parts (slightly sharp septimal major seconds ~[[8/7]], as 10\51) also puts this temperament in the [[gamelismic clan]] (thus related to [[tritikleismic]], but again using the 2.3.25.7 subgroup). The obvious scale moving up and right is [[3L 3s]] (10:7 step ratio); the obvious scale moving right and down-right is [[9L 4s (4/1-equivalent)]] (10:3 step ratio); the upward and downward movements in the latter scale nearly cancel out so that while octaves alternate between far and near, double octaves just barely slope down. The range is 5¼ octaves with no missed notes and no repeated notes.

	{{Lumatone EDO mapping\|n=51\|start=4\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=51\|start=4\|xstep=10\|ystep=-7}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 05:02, 28 May 2026 (UTC)		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 05:02, 28 May 2026 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 02:05, 30 May 2026 (UTC)

	== Sensei Lumatone mappings ==		== Sensei Lumatone mappings ==

Lucius Chiaraviglio: /* Sensei Lumatone mappings */ Got approval for 84edo mapping, and insert Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings temporarily above this (for visibility), starting with Bryan Deister's Lumatone mapping for 51edo

2026-05-28T05:02:14Z

Sensei Lumatone mappings: Got approval for 84edo mapping, and insert Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings temporarily above this (for visibility), starting with Bryan Deister's Lumatone mapping for 51edo

← Older revision		Revision as of 05:02, 28 May 2026
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	Moved: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:20, 21 June 2025 (UTC)		Moved: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:20, 21 June 2025 (UTC)

			== Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings ==

			=== 51edo (demonstrated to work but awaiting approval) ===

			One way of treating [[51edo]] is as three versions of [[17edo]], rearranged so as to divide the fifth and the octave also into three parts each, as demonstrated by [[Bryan Deister]] in [https://www.youtube.com/watch?v=k3NOBYbiqpo ''51edo improv''] (2026-04-22). This is very much like [[landscape]] temperament in equating the octave with a stack of three near-just quasi-tempered major thirds (~[[63/50]], as 17\51), but requires use of the 2.3.25.7 subgroup; division of the fifth (~[[3/2]], as 30\51) into three parts (slightly sharp septimal major seconds ~[[8/7]], as 10\51) also puts this temperament in the [[gamelismic clan]] (thus related to [[tritikleismic]], but again using the 2.3.25.7 subgroup). The obvious scale moving up and right is [[3L 3s]] (10:7 step ratio); the obvious scale moving right and down-right is [[9L 4s (4/1-equivalent)]] (10:3 step ratio); the upward and downward movements in the latter scale nearly cancel out so that while octaves alternate between far and near, double octaves just barely slope down. The range is 5¼ octaves with no missed notes and no repeated notes.

			{{Lumatone EDO mapping\|n=51\|start=4\|xstep=10\|ystep=-7}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 05:02, 28 May 2026 (UTC)

	== Sensei Lumatone mappings ==		== Sensei Lumatone mappings ==

	=== 84edo (demonstrated to work ~~but awaiting approval~~) ===		=== 84edo (demonstrated to work) ===

	It is possible to map [[84edo]] using a supermajor third as a generator, as in [[sensei]] temperament~~, with a [[3L 5s]] scale (13:9 step ratio)~~. The generator 31\84 is two keys right plus one key down-right, and it functions as a flat ~[[162/125]] in the 5-limit, as a near-just ~[[84/65]] in the 13-limit, as a somewhat flat septendecimal ultramajor third ~[[22/17]] in the 17-limit (requires use of the 84e val to map correctly), and as a slightly sharp ~[[49/38]] in the 19-limit. Two of these generators make a near-just classic major sixth ~[[5/3]]; five of them make a somewhat flat classic minor seventh ~[[9/5]]; seven of them make a near-just (slightly flat) fifth ~[[3/2]]; and nine of them make a near-just classic major third ~[[5/4]]. Unfortunately, ~~this~~ mapping tries to get too many octaves (four) for mapping a tuning system this large on the currently available version of the Lumatone, so it misses some notes in each octave; furthermore, the octaves slope down. Despite the missing notes [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/Qu6UIA2NmmQ ''84edo groove''] (2026).		It is possible to map [[84edo]] using a supermajor third as a generator, as in [[sensei]] temperament. The generator 31\84 is two keys right plus one key down-right, and it functions as a flat ~[[162/125]] in the 5-limit, as a near-just ~[[84/65]] in the 13-limit, as a somewhat flat septendecimal ultramajor third ~[[22/17]] in the 17-limit (requires use of the 84e val to map correctly), and as a slightly sharp ~[[49/38]] in the 19-limit. Two of these generators make a near-just classic major sixth ~[[5/3]]; five of them make a somewhat flat classic minor seventh ~[[9/5]]; seven of them make a near-just (slightly flat) fifth ~[[3/2]]; and nine of them make a near-just classic major third ~[[5/4]]. Unfortunately, the [[3L 5s]] scale (13:9 step ratio) mapping tries to get too many octaves (four) for mapping a tuning system this large on the currently available version of the Lumatone, so it misses some notes in each octave; furthermore, the octaves slope down mildly. Despite the missing notes [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/Qu6UIA2NmmQ ''84edo groove''] (2026).

	{{Lumatone EDO mapping\|n=84\|start=67\|xstep=9\|ystep=4}}		{{Lumatone EDO mapping\|n=84\|start=67\|xstep=9\|ystep=4}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:04, 10 May 2026 (UTC)		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:04, 10 May 2026 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 05:02, 28 May 2026 (UTC)

	== Amity Lumatone mappings ==		== Amity Lumatone mappings ==

Lucius Chiaraviglio: /* Moved Lumatone mappings */ Insert Sensei Lumatone mappings under here (temporarily moved up for visibility), starting with Bryan Deister's ''84edo groove'' (2026)

2026-05-10T04:04:36Z

Moved Lumatone mappings: Insert Sensei Lumatone mappings under here (temporarily moved up for visibility), starting with Bryan Deister's ''84edo groove'' (2026)

← Older revision		Revision as of 04:04, 10 May 2026
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	Moved: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:20, 21 June 2025 (UTC)		Moved: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:20, 21 June 2025 (UTC)

			== Sensei Lumatone mappings ==

			=== 84edo (demonstrated to work but awaiting approval) ===

			It is possible to map [[84edo]] using a supermajor third as a generator, as in [[sensei]] temperament, with a [[3L 5s]] scale (13:9 step ratio). The generator 31\84 is two keys right plus one key down-right, and it functions as a flat ~[[162/125]] in the 5-limit, as a near-just ~[[84/65]] in the 13-limit, as a somewhat flat septendecimal ultramajor third ~[[22/17]] in the 17-limit (requires use of the 84e val to map correctly), and as a slightly sharp ~[[49/38]] in the 19-limit. Two of these generators make a near-just classic major sixth ~[[5/3]]; five of them make a somewhat flat classic minor seventh ~[[9/5]]; seven of them make a near-just (slightly flat) fifth ~[[3/2]]; and nine of them make a near-just classic major third ~[[5/4]]. Unfortunately, this mapping tries to get too many octaves (four) for mapping a tuning system this large on the currently available version of the Lumatone, so it misses some notes in each octave; furthermore, the octaves slope down. Despite the missing notes [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/Qu6UIA2NmmQ ''84edo groove''] (2026).

			{{Lumatone EDO mapping\|n=84\|start=67\|xstep=9\|ystep=4}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 04:04, 10 May 2026 (UTC)

	== Amity Lumatone mappings ==		== Amity Lumatone mappings ==

Lucius Chiaraviglio: /* Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings / / 37edo */ Got approval

2026-05-06T06:29:26Z

Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings: 37edo: Got approval

← Older revision		Revision as of 06:29, 6 May 2026
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	== Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings ==		== Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings ==

	=== 37edo (demonstrated to work ~~but awaiting approval~~) ===		=== 37edo (demonstrated to work) ===

	[[Bryan Deister]] has demonstrated a [[6L 1s]] (6:1 step ratio) mapping for [[37edo]] in [https://www.youtube.com/shorts/Jt6_r6r3lGY ''37edo improv''] (2026). This mapping functions as an aureus pseudo-meantone mapping; this functions for temperaments [[mediantone]], [[roulette]], [[hemiwürschmidt]], and [[hemiwur]]; it has a generator 6\37 that functions as both a slightly sharp quasi-meantone ~[[19/17]] and a slightly flat septimal middle whole tone ~[[28/25]]. (In contrast to actual [[meantone]] temperament, 37edo represents ~19/17 (or 28/25), ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, but inflated to 2\37, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) The range is a bit under 4½ octaves, and the octaves slope upwards moderately.		[[Bryan Deister]] has demonstrated a [[6L 1s]] (6:1 step ratio) mapping for [[37edo]] in [https://www.youtube.com/shorts/Jt6_r6r3lGY ''37edo improv''] (2026). This mapping functions as an aureus pseudo-meantone mapping; this functions for temperaments [[mediantone]], [[roulette]], [[hemiwürschmidt]], and [[hemiwur]]; it has a generator 6\37 that functions as both a slightly sharp quasi-meantone ~[[19/17]] and a slightly flat septimal middle whole tone ~[[28/25]]. (In contrast to actual [[meantone]] temperament, 37edo represents ~19/17 (or 28/25), ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, but inflated to 2\37, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) The range is a bit under 4½ octaves, and the octaves slope upwards moderately.
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	{{Lumatone EDO mapping\|n=37\|start=12\|xstep=6\|ystep=-5}}		{{Lumatone EDO mapping\|n=37\|start=12\|xstep=6\|ystep=-5}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 00:07, 4 May 2026 (UTC)		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 00:07, 4 May 2026 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:29, 6 May 2026 (UTC)

	== Baldy Lumatone mappings ==		== Baldy Lumatone mappings ==

Lucius Chiaraviglio: Moved 49edo Infraorwell mapping back down to the proper place

2026-05-04T00:13:25Z

Moved 49edo Infraorwell mapping back down to the proper place

← Older revision		Revision as of 00:13, 4 May 2026
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	Moved: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:20, 21 June 2025 (UTC)		Moved: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:20, 21 June 2025 (UTC)

	~~== Infraorwell Lumatone mappings (temporarily moved up for visibility) ==~~

	~~=== 49edo (demonstrated to work) ===~~

	The septimal minor third ~[[7/6]] (11\49) of [[49edo]] is near-just, which suggests its use as a generator, as in [[Orwell]]; however, it is too close to just for actual Orwell eemperament, and so a stack of it manages to miss all of the intervals characteristic of Orwell, other than a fairly flat classic minor sixth ~[[8/5]] — hence [[Orwellismic_temperaments#Infraorwell\|infraorwell]]. It is possible to produce a forward chroma [[4L 5s]] (gramitonic, 6:5 step ratio) infraorwell mapping for 49edo, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/watch?v=7pK-JcIrd18 Deltarune – ''Man'' (cover)] (2023) and (very differently) in [https://www.youtube.com/shorts/V8t7MyP2Nuo ''microtonal improv in 49edo''] (2024). This mapping gets all notes in each octave and has a range of a bit over 4 octaves with repeated notes to mitigate vertical wraparounds; the octaves alternate between near/far and middle, with double octaves sloping slightly upwards.

	~~{{Lumatone EDO mapping\|n=49\|start=33\|xstep=6\|ystep=-1}}~~

	~~Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:58, 8 November 2025 (UTC)<br>~~
	~~Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 03:40, 21 April 2026 (UTC)~~

	== Amity Lumatone mappings ==		== Amity Lumatone mappings ==
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	== Infraorwell Lumatone mappings ==		== Infraorwell Lumatone mappings ==

	=== 49edo ===		=== 49edo (demonstrated to work) ===

			The septimal minor third ~[[7/6]] (11\49) of [[49edo]] is near-just, which suggests its use as a generator, as in [[Orwell]]; however, it is too close to just for actual Orwell eemperament, and so a stack of it manages to miss all of the intervals characteristic of Orwell, other than a fairly flat classic minor sixth ~[[8/5]] — hence [[Orwellismic_temperaments#Infraorwell\|infraorwell]]. It is possible to produce a forward chroma [[4L 5s]] (gramitonic, 6:5 step ratio) infraorwell mapping for 49edo, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/watch?v=7pK-JcIrd18 Deltarune – ''Man'' (cover)] (2023) and (very differently) in [https://www.youtube.com/shorts/V8t7MyP2Nuo ''microtonal improv in 49edo''] (2024). This mapping gets all notes in each octave and has a range of a bit over 4 octaves with repeated notes to mitigate vertical wraparounds; the octaves alternate between near/far and middle, with double octaves sloping slightly upwards.

			{{Lumatone EDO mapping\|n=49\|start=33\|xstep=6\|ystep=-1}}

	(~~Temporarily moved to near top for visibility.~~)		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:58, 8 November 2025 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 03:40, 21 April 2026 (UTC)

	=== 67edo (2 mappings demonstrated to work) ===		=== 67edo (2 mappings demonstrated to work) ===

Lucius Chiaraviglio: /* Aureus Pseudo-Meantone Lumatone mappings */ Insert Bryan Deister's Lumatone mapping for 37edo (which is also for Mediantone/Roulette/Hemiwürschmidt/Hemiwur) after this; also fix typo in 87edo mapping

2026-05-04T00:07:59Z

Aureus Pseudo-Meantone Lumatone mappings: Insert Bryan Deister's Lumatone mapping for 37edo (which is also for Mediantone/Roulette/Hemiwürschmidt/Hemiwur) after this; also fix typo in 87edo mapping

← Older revision		Revision as of 00:07, 4 May 2026
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	=== 87edo (demonstrated to work) ===		=== 87edo (demonstrated to work) ===

	[[Bryan Deister]] has demonstrated a [[11L 5s]] (7:2 step ratio) mapping for [[87edo]] in [[https://www.youtube.com/shorts/rINJKiMQE78 ''Circuit Bent - Stomach Book (microtonal cover in 87edo)''] (2025). The generator 14\87, which is two keys right from the root note, is the quasi-meantone ~[[19/17]], which is composed of highly inaccurate harmonics whose errors nearly cancel out, rendering it near-just; two of them make an essentially just classic major third ~[[5/4]]. (In contrast to actual [[meantone]] temperament, 87edo represents ~19/17, ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) Since this interval is two keys right instead of just one (as needed to avoid missing notes), this version of the temperament can be viewed as a split generator version, in which each ~19/17 is split into two equal intervals that function as both a small septendecimal semitone ~[[18/17]] and a large undevicesimal semitone ~[[19/18]], both being close to just (and the photisma [[324/323]] is tempered out). Although no second generator is needed to reach all of the notes, for convenience, down-right by one key (2\87) can be used for convenience as a second generator that functions as ~[[49/48]] (inconsistently mapped), ~[[55/54]], ~[[64/63]], ~[[65/64]], and ~[[81/80]], of which the septimal chroma ~64/63 is near-just, and four of these make a near-just classic diatonic semitone ~[[16/15]] (the currently unnamed unnoticeable comma [[5250987/5242880]] is tempered out). The range is somewhat over two octaves (which slant very slightly downwards) with no missed notes and some repeated notes to mitigate vertical wraparounds.		[[Bryan Deister]] has demonstrated a [[11L 5s]] (7:2 step ratio) mapping for [[87edo]] in [https://www.youtube.com/shorts/rINJKiMQE78 ''Circuit Bent - Stomach Book (microtonal cover in 87edo)''] (2025). The generator 14\87, which is two keys right from the root note, is the quasi-meantone ~[[19/17]], which is composed of highly inaccurate harmonics whose errors nearly cancel out, rendering it near-just; two of them make an essentially just classic major third ~[[5/4]]. (In contrast to actual [[meantone]] temperament, 87edo represents ~19/17, ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) Since this interval is two keys right instead of just one (as needed to avoid missing notes), this version of the temperament can be viewed as a split generator version, in which each ~19/17 is split into two equal intervals that function as both a small septendecimal semitone ~[[18/17]] and a large undevicesimal semitone ~[[19/18]], both being close to just (and the photisma [[324/323]] is tempered out). Although no second generator is needed to reach all of the notes, for convenience, down-right by one key (2\87) can be used for convenience as a second generator that functions as ~[[49/48]] (inconsistently mapped), ~[[55/54]], ~[[64/63]], ~[[65/64]], and ~[[81/80]], of which the septimal chroma ~64/63 is near-just, and four of these make a near-just classic diatonic semitone ~[[16/15]] (the currently unnamed unnoticeable comma [[5250987/5242880]] is tempered out). The range is somewhat over two octaves (which slant very slightly downwards) with no missed notes and some repeated notes to mitigate vertical wraparounds.

	{{Lumatone EDO mapping\|n=87\|start=6\|xstep=7\|ystep=-5}}		{{Lumatone EDO mapping\|n=87\|start=6\|xstep=7\|ystep=-5}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:39, 15 November 2025 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:39, 15 November 2025 (UTC)<br>
	Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 10:13, ~~18 November 2025~~ (UTC)		Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 00:07, 4 May 2026 (UTC)

			== Aureus Pseudo-Meantone + Mediantone + Roulette + Hemiwürschmidt + Hemiwur Lumatone mappings ==

			=== 37edo (demonstrated to work but awaiting approval) ===

			[[Bryan Deister]] has demonstrated a [[6L 1s]] (6:1 step ratio) mapping for [[37edo]] in [https://www.youtube.com/shorts/Jt6_r6r3lGY ''37edo improv''] (2026). This mapping functions as an aureus pseudo-meantone mapping; this functions for temperaments [[mediantone]], [[roulette]], [[hemiwürschmidt]], and [[hemiwur]]; it has a generator 6\37 that functions as both a slightly sharp quasi-meantone ~[[19/17]] and a slightly flat septimal middle whole tone ~[[28/25]]. (In contrast to actual [[meantone]] temperament, 37edo represents ~19/17 (or 28/25), ~[[10/9]], and ~[[9/8]] as distinct intervals — the syntonic comma [[81/80]] is not tempered out, but inflated to 2\37, and instead the aureusma [[1445/1444]] equates two quasi-meantones to a classic major third.) The range is a bit under 4½ octaves, and the octaves slope upwards moderately.

			{{Lumatone EDO mapping\|n=37\|start=12\|xstep=6\|ystep=-5}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 00:07, 4 May 2026 (UTC)

	== Baldy Lumatone mappings ==		== Baldy Lumatone mappings ==

Lucius Chiaraviglio: /* Infraorwell Lumatone mappings (temporarily moved up for visibility) / / 49edo */ Got approval; remove provision for reverse chroma version since none is probably forthcoming for now; add 2nd demo video because the usage is so different

2026-04-21T03:40:20Z

Infraorwell Lumatone mappings (temporarily moved up for visibility): 49edo: Got approval; remove provision for reverse chroma version since none is probably forthcoming for now; add 2nd demo video because the usage is so different

← Older revision		Revision as of 03:40, 21 April 2026
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	== Infraorwell Lumatone mappings (temporarily moved up for visibility) ==		== Infraorwell Lumatone mappings (temporarily moved up for visibility) ==

	=== 49edo ===		=== 49edo (demonstrated to work) ===

	The septimal minor third ~[[7/6]] (11\49) of [[49edo]]is near-just, which suggests its use as a generator, as in [[Orwell]]; however, it is too close to just for actual Orwell eemperament, and so a stack of it manages to miss all of the intervals characteristic of Orwell, other than a fairly flat classic minor sixth ~[[8/5]] — hence [[Orwellismic_temperaments#Infraorwell\|infraorwell]].		The septimal minor third ~[[7/6]] (11\49) of [[49edo]] is near-just, which suggests its use as a generator, as in [[Orwell]]; however, it is too close to just for actual Orwell eemperament, and so a stack of it manages to miss all of the intervals characteristic of Orwell, other than a fairly flat classic minor sixth ~[[8/5]] — hence [[Orwellismic_temperaments#Infraorwell\|infraorwell]]. It is possible to produce a forward chroma [[4L 5s]] (gramitonic, 6:5 step ratio) infraorwell mapping for 49edo, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/watch?v=7pK-JcIrd18 Deltarune – ''Man'' (cover)] (2023) and (very differently) in [https://www.youtube.com/shorts/V8t7MyP2Nuo ''microtonal improv in 49edo''] (2024). This mapping gets all notes in each octave and has a range of a bit over 4 octaves with repeated notes to mitigate vertical wraparounds; the octaves alternate between near/far and middle, with double octaves sloping slightly upwards.

	~~==== 4L 5s (forward chroma; demonstrated to work but awaiting approval) ====~~

	It is possible to produce a forward chroma [[4L 5s]] (gramitonic, 6:5 step ratio) infraorwell mapping for 49edo, as demonstrated in [[Bryan Deister]]'s [https://www.youtube.com/watch?v=7pK-JcIrd18 Deltarune – ''Man'' (cover)] (2023). This mapping gets all notes in each octave and has a range of a bit over 4 octaves with repeated notes to mitigate vertical wraparounds; the octaves alternate between near/far and middle, with double octaves sloping slightly upwards.

	{{Lumatone EDO mapping\|n=49\|start=33\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=49\|start=33\|xstep=6\|ystep=-1}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:58, 8 November 2025 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:58, 8 November 2025 (UTC)<br>
	Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 03:31, 20 April 2026 (UTC)		Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 03:40, 21 April 2026 (UTC)

	== Amity Lumatone mappings ==		== Amity Lumatone mappings ==

Lucius Chiaraviglio: /* Archipelago + Catalan Lumatone mappings / / 49edo / / Reverse chroma version */ Got approval

2026-04-21T03:12:36Z

Archipelago + Catalan Lumatone mappings: 49edo: Reverse chroma version: Got approval

← Older revision		Revision as of 03:12, 21 April 2026
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	== Archipelago + Catalan Lumatone mappings ==		== Archipelago + Catalan Lumatone mappings ==

	=== 49edo (demonstrated to work) ===		=== 49edo (2 mappings demonstrated to work) ===

	The most efficient mapping for [[49edo]], having a range of 5¼ octaves (which slope down moderately) with no missed notes and no repeated notes, is [[Bryan Deister]]'s [[4L 3s]] (10:3 step ratio) mapping that functions for both a rank-2 or rank-3 [[archipelago]]-related temperament and [[catalan]] temperament, demonstrated in [https://www.youtube.com/shorts/34w7euOF-Ss ''49edo improv''] (2026). The rank-2 archipelago-related temperament (which is not currently on the archipelago page) uses one key right (10\49) as a slightly sharp tridecimal semifourth ~[[15/13]] (in the 49f val) for its generator; two of them make the fairly flat fourth ~[[4/3]]; four of them make the sharp septimal minor seventh ~[[7/4]]; six of them (after octave reduction) make a slightly sharp septimal minor third ~[[7/6]]; thirteen of them (after more octave reduction) make a near-just undecimal minor sixth ~[[11/7]]; and fourteen of them make a sharp classic minor seventh ~[[9/5]]. Although this is a respectable list of intervals, the unmodified rank-2 version of the temperament does not make a very good [[MOS]] scale — instead it makes for scales in which the small interval is only 1\49. Therefore, for facility in making scales, including the aforementioned 4L 3s, a second generator is needed (thus elevating this to a rank-3 temperament that tempers out [[364/363]], [[540/539]], and [[847/845]]); that generator uses one key down-right (3\49) as the slightly sharp classic chromatic semitone ~[[25/24]], which 49edo uses here more like a diatonic semitone (although the actual 49edo diatonic semitone is only 2\49). Catalan uses one key right plus one key down-right (13\49) as a slightly sharp classic minor third for its generator; two of them make a very flat Axirabian paraminor fifth ~[[16/11]]; four of them (after octave reduction) make a slightly sharp classic chromatic semitone ~[[25/24]]; five of them make a mildly sharp classic major third ~[[5/4]]; six of them make a sharp fifth ~[[3/2]]; seven of them make a sharp classic minor seventh ~[[9/5]]; eight of them (after more octave-reduction) make a mildly flat undecimal neutral second ~[[12/11]]; and ten of them make a near-just undecimal minor sixth ~[[11/7]]. Catalan does not need a second generator to produce usable MOS scales, including the aforementioned 4L 3s.		The most efficient mapping for [[49edo]], having a range of 5¼ octaves (which slope down moderately) with no missed notes and no repeated notes, is [[Bryan Deister]]'s [[4L 3s]] (10:3 step ratio) mapping that functions for both a rank-2 or rank-3 [[archipelago]]-related temperament and [[catalan]] temperament, demonstrated in [https://www.youtube.com/shorts/34w7euOF-Ss ''49edo improv''] (2026). The rank-2 archipelago-related temperament (which is not currently on the archipelago page) uses one key right (10\49) as a slightly sharp tridecimal semifourth ~[[15/13]] (in the 49f val) for its generator; two of them make the fairly flat fourth ~[[4/3]]; four of them make the sharp septimal minor seventh ~[[7/4]]; six of them (after octave reduction) make a slightly sharp septimal minor third ~[[7/6]]; thirteen of them (after more octave reduction) make a near-just undecimal minor sixth ~[[11/7]]; and fourteen of them make a sharp classic minor seventh ~[[9/5]]. Although this is a respectable list of intervals, the unmodified rank-2 version of the temperament does not make a very good [[MOS]] scale — instead it makes for scales in which the small interval is only 1\49. Therefore, for facility in making scales, including the aforementioned 4L 3s, a second generator is needed (thus elevating this to a rank-3 temperament that tempers out [[364/363]], [[540/539]], and [[847/845]]); that generator uses one key down-right (3\49) as the slightly sharp classic chromatic semitone ~[[25/24]], which 49edo uses here more like a diatonic semitone (although the actual 49edo diatonic semitone is only 2\49). Catalan uses one key right plus one key down-right (13\49) as a slightly sharp classic minor third for its generator; two of them make a very flat Axirabian paraminor fifth ~[[16/11]]; four of them (after octave reduction) make a slightly sharp classic chromatic semitone ~[[25/24]]; five of them make a mildly sharp classic major third ~[[5/4]]; six of them make a sharp fifth ~[[3/2]]; seven of them make a sharp classic minor seventh ~[[9/5]]; eight of them (after more octave-reduction) make a mildly flat undecimal neutral second ~[[12/11]]; and ten of them make a near-just undecimal minor sixth ~[[11/7]]. Catalan does not need a second generator to produce usable MOS scales, including the aforementioned 4L 3s.
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	Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:57, 10 April 2026 (UTC)		Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 08:57, 10 April 2026 (UTC)

	==== Reverse chroma ~~(demonstrated to work but awaiting approval)~~ ====		==== Reverse chroma version ====

	It is possible to make a reverse chroma version of the above mapping. The range is considerably less, at a bit over 3⅓ octaves, with considerable regions of non-contiguous notes in the upper left and lower right corners, and the octaves slope down, incurring a vertical wraparound; on the other hand, a considerable number of repeated notes are available in each complete octave to mitigate vertical wraparounds. [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/VmUIxWb8NCY ''49edo prelude''] (2026), although with note 0 set to ~~four keys left of what~~ is ~~shown~~ here.		It is possible to make a reverse chroma version of the above mapping. The range is considerably less, at a bit over 3⅓ octaves, with considerable regions of non-contiguous notes in the upper left and lower right corners, and the octaves slope down, incurring a vertical wraparound; on the other hand, a considerable number of repeated notes are available in each complete octave to mitigate vertical wraparounds. [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/VmUIxWb8NCY ''49edo prelude''] (2026), although with note 0 set to where note 38 is here.

	{{Lumatone EDO mapping\|n=49\|start=6\|xstep=3\|ystep=7}}		{{Lumatone EDO mapping\|n=49\|start=6\|xstep=3\|ystep=7}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 11:38, 18 April 2026 (UTC)		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 11:38, 18 April 2026 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 03:12, 21 April 2026 (UTC)

	== Aureus Pseudo-Meantone Lumatone mappings ==		== Aureus Pseudo-Meantone Lumatone mappings ==

Lucius Chiaraviglio: /* Infraorwell Lumatone mappings / / 49edo */ (Temporarily moved to near top for visibility.)

2026-04-20T03:38:03Z

Infraorwell Lumatone mappings: 49edo: (Temporarily moved to near top for visibility.)

← Older revision		Revision as of 03:38, 20 April 2026
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	=== 49edo ===		=== 49edo ===

	~~The septimal minor third ~[[7/6]]~~ (~~11\49) of [[49edo]]is~~ near~~-just, which suggests its use as a generator, as in [[Orwell]]; however, it is too close to just~~ for actual Orwell eemperament, and so a stack of it manages to miss all of the intervals characteristic of Orwell, other than a fairly flat classic minor sixth ~[[8/5]] — hence [[Orwellismic_temperaments#Infraorwell\|Infraorwell]].		(Temporarily moved to near top for visibility.)

	~~==== 4L 5s (forward chroma; proposed and untested) ====~~

	It is possible to produce a forward chroma [[4L 5s]] (gramitonic, 6:5 step ratio) [[Orwellismic_temperaments#Infraorwell\|Infraorwell]] mapping for 49edo. This mapping gets all notes in each octave and has a range of a bit over 4 octaves.

	~~{{Lumatone EDO mapping\|n=49\|start=35\|xstep=6\|ystep=-1}}~~

	~~Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 19:58, 8 November 2025 (UTC)<br>~~
	~~Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 11:10, 18 April 2026 (UTC~~)

	=== 67edo (2 mappings demonstrated to work) ===		=== 67edo (2 mappings demonstrated to work) ===

User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings - Revision history

Lucius Chiaraviglio: /* Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings */ /* Sensei Lumatone mappings */ Move these to their proper places