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

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
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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 (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) ===
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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>
			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 ==
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	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)

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	{{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}}