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

Lucius Chiaraviglio: Fix vertical spacing

2026-10-26T07:29:50Z

Fix vertical spacing

Lucius Chiaraviglio: /* Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) (temporarily moved up for visibility) */ Move down to the proper place; alos note in introduction that Devichromic Octacot is a weak extension of meantone

2026-10-26T07:25:21Z

Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) (temporarily moved up for visibility): Move down to the proper place; alos note in introduction that Devichromic Octacot is a weak extension of meantone

← Older revision		Revision as of 07:25, 26 October 2026
Line 1:		Line 1:
	[[Bryan Deister]] invented the Devichromic Octacot(*) Lumatone mapping for 69edo shown below, and I got curious about how Devichromic temperament would work for other sizes. [[Devichromic]] temperament currently has no article (the link just given will change from red to blue if it gets one), but [[Devichromic chords]] does, and gives a brief description of the temperament, along with its defining comma [[400/399]].		[[Bryan Deister]] invented the Devichromic Octacot(*) Lumatone mapping for 69edo shown below, and I got curious about how Devichromic temperament would work for other sizes. [[Devichromic]] temperament currently has no article (the link just given will change from red to blue if it gets one), but [[Devichromic chords]] does, and gives a brief description of the temperament, along with its defining comma [[400/399]].

	(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.		(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts, and is actually a weak extension of [[meantone]].

	~~== Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) (temporarily moved up for visibility) ==~~

	~~=== 69edo (2 mappings demonstrated to work) ===~~

	The [[6L 3s]] mapping was originally meant to get as many notes of [[69edo]] as possible onto the space available on existing Lumatones, while enabling easy access to slightly flat classic major and minor thirds (~[[5/4]] and ~[[6/5]], respectively). However, ~~moving down~~ and ~~right yields 5\69, which maps as [[20/19]] ~ [[21/20]] (69edo tempers out [[400/399]]) and can be interpreted as [[Augmented_family#Ogene\|Ogene]] with the 69bceef val; however, that~~ is a val with an awful lot of warts, so perhaps the better temperament interpretation would be to take advantage of eight of this generator mapping to the fifth (40\69, all in the patent val), making the temperament a devichromic octacot (NOT the [[Tetracot_family#Octacot\|octacot of the tetracot family]]); no article about devichromic octacot temperament is currently available (and even if one was, as a weak extension of [[meantone]], the temperament would likely get a different permanent name), but an article about [[devichromic chords]] exists. In addition to easy access to the patent fifth as noted above, three generators yield a somewhat flat ~[[7/6]]; four of them yield a near-just ~[[11/9]]; five of them yield a near-just ~[[9/7]]; seven of them yield a mildly flat ~[[10/7]]; and nine of them yield a near-just ~[[11/7]]. Alternatively, the rightward generator 9\69 serves for [[nessafof]] (which has a ⅓-octave period); this generator is a near-just septimal neutral second ~[[35/32]]; two of these make a slightly flat classic minor third ~[[6/5]] (the porwell comma [[6144/6125]] is tempered out). This mapping gets just short of four full octaves, with no missed notes and a very slight slope. [[Bryan Deister]] has demonstrated this mapping for [[69edo]] in [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025). (For maximally efficient fitting of note 0 to note 0 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)

	~~{{Lumatone EDO mapping\|n=69\|start=0\|xstep=9\|ystep=-4}}~~

	~~Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:39, 24 May 2025 (UTC)<br>~~
	~~Moved here from main Keyboard Layout Lab: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:45, 31 May 2025 (UTC)<br>~~
	~~Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:20, 26 October 2026 (UTC)~~

	~~==== Reverse chroma (demonstrated to work) ====~~
	[[Bryan Deister]] has also demonstrated a reverse-chroma version of this in [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). The devichromic octacot and ogene generator 5\69 (20/19 ~ 21/20) is now one key right plus one key up, while the nessafof generator 9\63 is still one key right (and for ogene and nessafof, the ⅓-octave is three keys right plus one key up). The range is somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave, especially the bass octave.

	~~{{Lumatone EDO mapping\|n=69\|start=39\|xstep=9\|ystep=4}}~~

	~~Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 20:22, 4 October 2026 (UTC)<br>~~
	~~Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:20, 26 October 2026 (UTC)~~

	== Smaller Devichromic Octacot (down-right) Lumatone mappings ==		== Smaller Devichromic Octacot (down-right) Lumatone mappings ==
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	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)

	== Devichromic Octacot + off-beat Ogene ~~Lumatone mappings~~ ==		== Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) ==

	=== 69edo (demonstrated to work) ===		=== 69edo (2 mappings demonstrated to work) ===

	The [[6L 3s]] mapping was originally meant to get as many notes of [[69edo]] as possible onto the space available on existing Lumatones, ~~rather than attempting~~ to ~~fit any particular temperament~~. However, moving down and right yields 5\69, which maps as [[20/19]] ~ [[21/20]] (69edo tempers out [[400/399]]) and can be interpreted as [[Augmented_family#Ogene\|Ogene]] with the 69bceef val; however, that is a val with an awful lot of warts, so perhaps the better temperament interpretation would be to take advantage of eight of this generator mapping to the ~~patent~~ fifth (40\69), making the temperament a ~~Devichromic Octacot~~ (NOT the [[Tetracot_family#Octacot\|~~Octacot~~ of the ~~Tetracot~~ family]]); no article about ~~Devichromic Octacot~~ temperament is currently available (and even if one was, the temperament would likely get a different permanent name), but an article about [[~~Devichromic~~ chords]] exists. In addition to easy access to the patent fifth as noted above, three generators yield a somewhat flat ~[[7/6]]; four of them yield a near-just ~[[11/9]]; five of them yield a near-just ~[[9/7]]; seven of them yield a mildly flat ~[[10/7]]; and nine of them yield a near-just ~[[11/7]]. This mapping gets just short of four full octaves, with no missed notes and a very slight slope. [[Bryan Deister]] has demonstrated this mapping for [[69edo]] in [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025). (For maximally efficient fitting of note 0 to note 0 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)		The [[6L 3s]] mapping was originally meant to get as many notes of [[69edo]] as possible onto the space available on existing Lumatones, while enabling easy access to slightly flat classic major and minor thirds (~[[5/4]] and ~[[6/5]], respectively). However, moving down and right yields 5\69, which maps as [[20/19]] ~ [[21/20]] (69edo tempers out [[400/399]]) and can be interpreted as [[Augmented_family#Ogene\|Ogene]] with the 69bceef val; however, that is a val with an awful lot of warts, so perhaps the better temperament interpretation would be to take advantage of eight of this generator mapping to the fifth (40\69, all in the patent val), making the temperament a devichromic octacot (NOT the [[Tetracot_family#Octacot\|octacot of the tetracot family]]); no article about devichromic octacot temperament is currently available (and even if one was, as a weak extension of [[meantone]], the temperament would likely get a different permanent name), but an article about [[devichromic chords]] exists. In addition to easy access to the patent fifth as noted above, three generators yield a somewhat flat ~[[7/6]]; four of them yield a near-just ~[[11/9]]; five of them yield a near-just ~[[9/7]]; seven of them yield a mildly flat ~[[10/7]]; and nine of them yield a near-just ~[[11/7]]. Alternatively, the rightward generator 9\69 serves for [[nessafof]] (which has a ⅓-octave period); this generator is a near-just septimal neutral second ~[[35/32]]; two of these make a slightly flat classic minor third ~[[6/5]] (the porwell comma [[6144/6125]] is tempered out). This mapping gets just short of four full octaves, with no missed notes and a very slight slope. [[Bryan Deister]] has demonstrated this mapping for [[69edo]] in [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025). (For maximally efficient fitting of note 0 to note 0 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)

	{{Lumatone EDO mapping\|n=69\|start=0\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=69\|start=0\|xstep=9\|ystep=-4}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:39, 24 May 2025 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:39, 24 May 2025 (UTC)<br>
	Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 18:15, 26 ~~May 2025~~ (UTC)<br>		Moved here from main Keyboard Layout Lab: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:45, 31 May 2025 (UTC)<br>
	~~Moved here from main Keyboard Layout Lab~~: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:45, ~~31 May 2025~~ (UTC)		Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:20, 26 October 2026 (UTC)

			==== Reverse chroma (demonstrated to work) ====
			[[Bryan Deister]] has also demonstrated a reverse-chroma version of this in [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). The devichromic octacot and ogene generator 5\69 (20/19 ~ 21/20) is now one key right plus one key up, while the nessafof generator 9\63 is still one key right (and for ogene and nessafof, the ⅓-octave is three keys right plus one key up). The range is somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave, especially the bass octave.

			{{Lumatone EDO mapping\|n=69\|start=39\|xstep=9\|ystep=4}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 20:22, 4 October 2026 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:20, 26 October 2026 (UTC)

	== Larger Devichromic (right) Lumatone mappings ==		== Larger Devichromic (right) Lumatone mappings ==

Lucius Chiaraviglio: /* Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) (temporarily moved up for visibility) */ Integrate old version into this; add missing text for Nessafof temperament

2026-10-26T07:20:23Z

Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) (temporarily moved up for visibility): Integrate old version into this; add missing text for Nessafof temperament

← Older revision		Revision as of 07:20, 26 October 2026
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	== Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) (temporarily moved up for visibility) ==		== Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) (temporarily moved up for visibility) ==
	~~Designed for easy access to slightly flat classic major and minor thirds (~[[5/4]] and ~[[6/5]], respectively). (Rest of description goes here.)~~

	=== 69edo (2 mappings) ===		=== 69edo (2 mappings demonstrated to work) ===

	~~==== Forward chroma~~ (is ~~old Devichromic~~ Octacot ~~+ off-beat Ogene~~) ~~====~~		The [[6L 3s]] mapping was originally meant to get as many notes of [[69edo]] as possible onto the space available on existing Lumatones, while enabling easy access to slightly flat classic major and minor thirds (~[[5/4]] and ~[[6/5]], respectively). However, moving down and right yields 5\69, which maps as [[20/19]] ~ [[21/20]] (69edo tempers out [[400/399]]) and can be interpreted as [[Augmented_family#Ogene\|Ogene]] with the 69bceef val; however, that is a val with an awful lot of warts, so perhaps the better temperament interpretation would be to take advantage of eight of this generator mapping to the fifth (40\69, all in the patent val), making the temperament a devichromic octacot (NOT the [[Tetracot_family#Octacot\|octacot of the tetracot family]]); no article about devichromic octacot temperament is currently available (and even if one was, as a weak extension of [[meantone]], the temperament would likely get a different permanent name), but an article about [[devichromic chords]] exists. In addition to easy access to the patent fifth as noted above, three generators yield a somewhat flat ~[[7/6]]; four of them yield a near-just ~[[11/9]]; five of them yield a near-just ~[[9/7]]; seven of them yield a mildly flat ~[[10/7]]; and nine of them yield a near-just ~[[11/7]]. Alternatively, the rightward generator 9\69 serves for [[nessafof]] (which has a ⅓-octave period); this generator is a near-just septimal neutral second ~[[35/32]]; two of these make a slightly flat classic minor third ~[[6/5]] (the porwell comma [[6144/6125]] is tempered out). This mapping gets just short of four full octaves, with no missed notes and a very slight slope. [[Bryan Deister]] has demonstrated this mapping for [[69edo]] in [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025). (For maximally efficient fitting of note 0 to note 0 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)
	(~~Rework old description~~ to ~~include this~~, and ~~use~~ this ~~note 0 position or even 1 further {down~~-~~right + down} to~~ make classic ~~major~~ third ~~more easily accessible~~.~~) Maximally efficient~~, with ~~no repeated notes and~~ no missed notes, and ~~a range of two notes short of four octaves with~~ a very ~~gentle downwards~~ slope~~; one key further~~ to ~~reach classic major third than reverse chroma version~~.

	{{Lumatone EDO mapping\|n=69\|start=68\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=69\|start=0\|xstep=9\|ystep=-4}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:39, 24 May 2025 (UTC)<br>
			Moved here from main Keyboard Layout Lab: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:45, 31 May 2025 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:20, 26 October 2026 (UTC)

	==== Reverse chroma (demonstrated to work) ====		==== Reverse chroma (demonstrated to work) ====
	[[Bryan Deister]]'s [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). (~~Rest of description goes here~~.~~) Range~~ somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave.		[[Bryan Deister]] has also demonstrated a reverse-chroma version of this in [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). The devichromic octacot and ogene generator 5\69 (20/19 ~ 21/20) is now one key right plus one key up, while the nessafof generator 9\63 is still one key right (and for ogene and nessafof, the ⅓-octave is three keys right plus one key up). The range is somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave, especially the bass octave.

	{{Lumatone EDO mapping\|n=69\|start=39\|xstep=9\|ystep=4}}		{{Lumatone EDO mapping\|n=69\|start=39\|xstep=9\|ystep=4}}

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 20:22, 4 October 2026 (UTC)		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 20:22, 4 October 2026 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:20, 26 October 2026 (UTC)

	== Smaller Devichromic Octacot (down-right) Lumatone mappings ==		== Smaller Devichromic Octacot (down-right) Lumatone mappings ==

Lucius Chiaraviglio: Fix section headings

2026-10-04T20:25:04Z

Fix section headings

← Older revision		Revision as of 20:25, 4 October 2026
Line 6:		Line 6:
	Designed for easy access to slightly flat classic major and minor thirds (~[[5/4]] and ~[[6/5]], respectively). (Rest of description goes here.)		Designed for easy access to slightly flat classic major and minor thirds (~[[5/4]] and ~[[6/5]], respectively). (Rest of description goes here.)

	=== Forward chroma (is old Devichromic Octacot + off-beat Ogene) ===		=== 69edo (2 mappings) ===

			==== Forward chroma (is old Devichromic Octacot + off-beat Ogene) ====
	(Rework old description to include this, and use this note 0 position or even 1 further {down-right + down} to make classic major third more easily accessible.) Maximally efficient, with no repeated notes and no missed notes, and a range of two notes short of four octaves with a very gentle downwards slope; one key further to reach classic major third than reverse chroma version.		(Rework old description to include this, and use this note 0 position or even 1 further {down-right + down} to make classic major third more easily accessible.) Maximally efficient, with no repeated notes and no missed notes, and a range of two notes short of four octaves with a very gentle downwards slope; one key further to reach classic major third than reverse chroma version.

	{{Lumatone EDO mapping\|n=69\|start=68\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=69\|start=68\|xstep=9\|ystep=-4}}

	=== Reverse chroma (demonstrated to work) ===		==== Reverse chroma (demonstrated to work) ====
	[[Bryan Deister]]'s [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). (Rest of description goes here.) Range somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave.		[[Bryan Deister]]'s [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). (Rest of description goes here.) Range somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave.

Lucius Chiaraviglio: /* Smaller Devichromic Octacot (down-right) Lumatone mappings */ Insert Bryan Deister's reverse chroma version of the 69edo Lumatone mapping with a second look at the old mapping (temporarily moved up for visibility)

2026-10-04T20:22:35Z

Smaller Devichromic Octacot (down-right) Lumatone mappings: Insert Bryan Deister's reverse chroma version of the 69edo Lumatone mapping with a second look at the old mapping (temporarily moved up for visibility)

← Older revision		Revision as of 20:22, 4 October 2026
Line 2:		Line 2:

	(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.		(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.

			== Devichromic Octacot + off-beat Ogene + Nessafof (Porwell) (temporarily moved up for visibility) ==
			Designed for easy access to slightly flat classic major and minor thirds (~[[5/4]] and ~[[6/5]], respectively). (Rest of description goes here.)

			=== Forward chroma (is old Devichromic Octacot + off-beat Ogene) ===
			(Rework old description to include this, and use this note 0 position or even 1 further {down-right + down} to make classic major third more easily accessible.) Maximally efficient, with no repeated notes and no missed notes, and a range of two notes short of four octaves with a very gentle downwards slope; one key further to reach classic major third than reverse chroma version.

			{{Lumatone EDO mapping\|n=69\|start=68\|xstep=9\|ystep=-4}}

			=== Reverse chroma (demonstrated to work) ===
			[[Bryan Deister]]'s [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). (Rest of description goes here.) Range somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave.

			{{Lumatone EDO mapping\|n=69\|start=39\|xstep=9\|ystep=4}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 20:22, 4 October 2026 (UTC)

	== Smaller Devichromic Octacot (down-right) Lumatone mappings ==		== Smaller Devichromic Octacot (down-right) Lumatone mappings ==

Lucius Chiaraviglio: The smaller EDO values should work as Devichromic Octacot

2025-06-03T07:28:25Z

The smaller EDO values should work as Devichromic Octacot

← Older revision		Revision as of 07:28, 3 June 2025
Line 3:		Line 3:
	(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.		(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.

	== Smaller Devichromic (down-right) Lumatone mappings ==		== Smaller Devichromic Octacot (down-right) Lumatone mappings ==

	=== 41edo (proposed but untested) ===		=== 41edo (proposed but untested) ===

Lucius Chiaraviglio: /* 55edo (proposed but untested) */ This 55edo layout is a complete rework relative to what was here before

2025-06-03T07:26:45Z

55edo (proposed but untested): This 55edo layout is a complete rework relative to what was here before

← Older revision		Revision as of 07:26, 3 June 2025
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	{{Lumatone EDO mapping\|n=55\|start=4\|xstep=9\|ystep=-5}}		{{Lumatone EDO mapping\|n=55\|start=4\|xstep=9\|ystep=-5}}

	Added~~: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:45, 2 June 2025 (UTC)<br>~~		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)
	~~Last modified~~: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)

	== Devichromic Octacot + off-beat Ogene Lumatone mappings ==		== Devichromic Octacot + off-beat Ogene Lumatone mappings ==

Lucius Chiaraviglio: Time track

2025-06-03T07:25:50Z

Time track

← Older revision		Revision as of 07:25, 3 June 2025
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	{{Lumatone EDO mapping\|n=41\|start=0\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=41\|start=0\|xstep=10\|ystep=-7}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)

	=== 55edo (proposed but untested) ===		=== 55edo (proposed but untested) ===
Line 14:		Line 16:

	{{Lumatone EDO mapping\|n=55\|start=4\|xstep=9\|ystep=-5}}		{{Lumatone EDO mapping\|n=55\|start=4\|xstep=9\|ystep=-5}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:45, 2 June 2025 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)

	== Devichromic Octacot + off-beat Ogene Lumatone mappings ==		== Devichromic Octacot + off-beat Ogene Lumatone mappings ==
Line 24:		Line 29:

	Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:39, 24 May 2025 (UTC)<br>		Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 09:39, 24 May 2025 (UTC)<br>
	Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 18:15, 26 May 2025 (UTC)		Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 18:15, 26 May 2025 (UTC)<br>
	Moved here from main Keyboard Layout Lab: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:45, 31 May 2025 (UTC)		Moved here from main Keyboard Layout Lab: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:45, 31 May 2025 (UTC)

Line 33:		Line 38:

	{{Lumatone EDO mapping\|n=83\|start=75\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=83\|start=75\|xstep=6\|ystep=-1}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:45, 2 June 2025 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)

	=== 97edo (proposed but untested) ===		=== 97edo (proposed but untested) ===
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	{{Lumatone EDO mapping\|n=97\|start=87\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=97\|start=87\|xstep=7\|ystep=-1}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:45, 2 June 2025 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)

	=== 111edo (proposed but untested) ===		=== 111edo (proposed but untested) ===
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	{{Lumatone EDO mapping\|n=111\|start=75\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=111\|start=75\|xstep=8\|ystep=-1}}

			Added: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:45, 2 June 2025 (UTC)<br>
			Last modified: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 07:25, 3 June 2025 (UTC)

Lucius Chiaraviglio: Some work on the EDO sizes other than 69

2025-06-03T07:18:45Z

Some work on the EDO sizes other than 69

← Older revision		Revision as of 07:18, 3 June 2025
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	(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.		(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.

	== Smaller Devichromic Lumatone mappings ==		== Smaller Devichromic (down-right) Lumatone mappings ==

			=== 41edo (proposed but untested) ===
			(In principle, this should work somewhat similarly to the layout for 69edo below, but this needs to be checked for accuracy, and some differences are necessary to avoid mapping contortion even though the temperament is not contorted.)

			{{Lumatone EDO mapping\|n=41\|start=0\|xstep=10\|ystep=-7}}

	=== 55edo (proposed but untested) ===		=== 55edo (proposed but untested) ===
	(~~Text~~ needs to be ~~added later~~.)		(In principle, this should work similarly to the layout for 69edo below, but this needs to be checked for accuracy.)

	{{Lumatone EDO mapping\|n=55\|start=51\|xstep=4\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=4\|xstep=9\|ystep=-5}}

	== Devichromic Octacot + off-beat Ogene Lumatone mappings ==		== Devichromic Octacot + off-beat Ogene Lumatone mappings ==
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	Moved here from main Keyboard Layout Lab: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:45, 31 May 2025 (UTC)		Moved here from main Keyboard Layout Lab: [[User:Lucius Chiaraviglio\|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio\|talk]]) 06:45, 31 May 2025 (UTC)

	== Larger Devichromic Lumatone mappings ==		== Larger Devichromic (right) Lumatone mappings ==

	=== 83edo (proposed but untested) ===		=== 83edo (proposed but untested) ===
	(~~Text needs to be added later~~.)		(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the flat b val fifth.)

	{{Lumatone EDO mapping\|n=83\|start=75\|xstep=6\|ystep=-1}}		{{Lumatone EDO mapping\|n=83\|start=75\|xstep=6\|ystep=-1}}

	=== 97edo (proposed but untested) ===		=== 97edo (proposed but untested) ===
	(~~Text needs to be added later~~.)		(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the flat b val fifth.)

	{{Lumatone EDO mapping\|n=97\|start=87\|xstep=7\|ystep=-1}}		{{Lumatone EDO mapping\|n=97\|start=87\|xstep=7\|ystep=-1}}

	=== 111edo (proposed but untested) ===		=== 111edo (proposed but untested) ===
	(~~Text needs to be added later~~.)		(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the very flat b val fifth.)

	{{Lumatone EDO mapping\|n=111\|start=75\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=111\|start=75\|xstep=8\|ystep=-1}}

Lucius Chiaraviglio: Thus begins my Musical Mad Science foray into Devichromic

2025-05-31T06:45:35Z

Thus begins my Musical Mad Science foray into Devichromic

New page

[[Bryan Deister]] invented the Devichromic Octacot(*) Lumatone mapping for 69edo shown below, and I got curious about how Devichromic temperament would work for other sizes. [[Devichromic]] temperament currently has no article (the link just given will change from red to blue if it gets one), but [[Devichromic chords]] does, and gives a brief description of the temperament, along with its defining comma [[400/399]].

(*)This is a placeholder name for the extension of Devichromic temperament that divides the fifth into eight parts.

== Smaller Devichromic Lumatone mappings ==

=== 55edo (proposed but untested) ===
(Text needs to be added later.)

{{Lumatone EDO mapping|n=55|start=51|xstep=4|ystep=-1}}

== Devichromic Octacot + off-beat Ogene Lumatone mappings ==

=== 69edo (demonstrated to work) ===

The [[6L 3s]] mapping was originally meant to get as many notes of [[69edo]] as possible onto the space available on existing Lumatones, rather than attempting to fit any particular temperament. However, moving down and right yields 5\69, which maps as [[20/19]] ~ [[21/20]] (69edo tempers out [[400/399]]) and can be interpreted as [[Augmented_family#Ogene|Ogene]] with the 69bceef val; however, that is a val with an awful lot of warts, so perhaps the better temperament interpretation would be to take advantage of eight of this generator mapping to the patent fifth (40\69), making the temperament a Devichromic Octacot (NOT the [[Tetracot_family#Octacot|Octacot of the Tetracot family]]); no article about Devichromic Octacot temperament is currently available (and even if one was, the temperament would likely get a different permanent name), but an article about [[Devichromic chords]] exists. In addition to easy access to the patent fifth as noted above, three generators yield a somewhat flat ~[[7/6]]; four of them yield a near-just ~[[11/9]]; five of them yield a near-just ~[[9/7]]; seven of them yield a mildly flat ~[[10/7]]; and nine of them yield a near-just ~[[11/7]]. This mapping gets just short of four full octaves, with no missed notes and a very slight slope. [[Bryan Deister]] has demonstrated this mapping for [[69edo]] in [https://www.youtube.com/watch?v=ZAqPonAHuUM ''microtonal improvisation in 69edo''] (2025). (For maximally efficient fitting of note 0 to note 0 octaves, note 0 is in the upper left corner instead of Bryan Deister's usual placement in the lower left corner.)

{{Lumatone EDO mapping|n=69|start=0|xstep=9|ystep=-4}}

Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:39, 24 May 2025 (UTC)<br>
Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 18:15, 26 May 2025 (UTC)
Moved here from main Keyboard Layout Lab: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 06:45, 31 May 2025 (UTC)

== Larger Devichromic Lumatone mappings ==

=== 83edo (proposed but untested) ===
(Text needs to be added later.)

{{Lumatone EDO mapping|n=83|start=75|xstep=6|ystep=-1}}

=== 97edo (proposed but untested) ===
(Text needs to be added later.)

{{Lumatone EDO mapping|n=97|start=87|xstep=7|ystep=-1}}

=== 111edo (proposed but untested) ===
(Text needs to be added later.)

{{Lumatone EDO mapping|n=111|start=75|xstep=8|ystep=-1}}

← Older revision		Revision as of 07:29, 26 October 2026
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	=== 41edo (proposed but untested) ===		=== 41edo (proposed but untested) ===

	(In principle, this should work somewhat similarly to the layout for 69edo below, but this needs to be checked for accuracy, and some differences are necessary to avoid mapping contortion even though the temperament is not contorted.)		(In principle, this should work somewhat similarly to the layout for 69edo below, but this needs to be checked for accuracy, and some differences are necessary to avoid mapping contortion even though the temperament is not contorted.)

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	=== 55edo (proposed but untested) ===		=== 55edo (proposed but untested) ===

	(In principle, this should work similarly to the layout for 69edo below, but this needs to be checked for accuracy.)		(In principle, this should work similarly to the layout for 69edo below, but this needs to be checked for accuracy.)

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	==== Reverse chroma (demonstrated to work) ====		==== Reverse chroma (demonstrated to work) ====

	[[Bryan Deister]] has also demonstrated a reverse-chroma version of this in [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). The devichromic octacot and ogene generator 5\69 (20/19 ~ 21/20) is now one key right plus one key up, while the nessafof generator 9\63 is still one key right (and for ogene and nessafof, the ⅓-octave is three keys right plus one key up). The range is somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave, especially the bass octave.		[[Bryan Deister]] has also demonstrated a reverse-chroma version of this in [https://www.youtube.com/shorts/cMbbGO1QHik ''69edo groove''] (2026). The devichromic octacot and ogene generator 5\69 (20/19 ~ 21/20) is now one key right plus one key up, while the nessafof generator 9\63 is still one key right (and for ogene and nessafof, the ⅓-octave is three keys right plus one key up). The range is somewhat over five octaves, which alternate between far and near with the double octave having a gentle upwards slope, but misses some of the notes in each octave, especially the bass octave.

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	=== 83edo (proposed but untested) ===		=== 83edo (proposed but untested) ===

	(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the flat b val fifth.)		(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the flat b val fifth.)

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	=== 97edo (proposed but untested) ===		=== 97edo (proposed but untested) ===

	(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the flat b val fifth.)		(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the flat b val fifth.)

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	=== 111edo (proposed but untested) ===		=== 111edo (proposed but untested) ===

	(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the very flat b val fifth.)		(In principle, right in this mapping works like down-right in the 69edo mapping, except that the fifth obtained this way is the very flat b val fifth.)