Lumatone mapping for 72edo - Revision history

Inthar: /* Ennealimmal (currently untested) */

2026-04-08T23:43:06Z

Ennealimmal (currently untested)

← Older revision		Revision as of 23:43, 8 April 2026
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	== Ennealimmal (currently untested) ==		== Ennealimmal (currently untested) ==
	This mapping uses [[ennealimmal]] temperament; it maps one axis to 1\9 and one axis to ~21/20, an ennealimmal generator.		This mapping uses [[ennealimmal]] temperament; it maps one axis to 1\9 and one axis to ~21/20, an ennealimmal generator.
	{{Lumatone EDO mapping\|n=72\|start=0\|xstep=8\|ystep=-13}}		{{Lumatone EDO mapping\|n=72\|start=0\|xstep=8\|ystep=-5}}

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

Inthar: /* Ennealimmal */

2026-04-08T23:18:00Z

Ennealimmal

← Older revision		Revision as of 23:18, 8 April 2026
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	{{Lumatone EDO mapping\|n=72\|start=0\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=72\|start=0\|xstep=9\|ystep=-4}}

	== Ennealimmal ==		== Ennealimmal (currently untested) ==
	This mapping uses [[ennealimmal]] temperament; it maps one axis to 1\9 and one axis to ~21/20, an ennealimmal generator.		This mapping uses [[ennealimmal]] temperament; it maps one axis to 1\9 and one axis to ~21/20, an ennealimmal generator.
	{{Lumatone EDO mapping\|n=72\|start=0\|xstep=8\|ystep=-13}}		{{Lumatone EDO mapping\|n=72\|start=0\|xstep=8\|ystep=-13}}

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

Inthar at 23:14, 8 April 2026

2026-04-08T23:14:49Z

← Older revision		Revision as of 23:14, 8 April 2026
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	{{Lumatone EDO mapping\|n=72\|start=0\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=72\|start=0\|xstep=9\|ystep=-4}}

			== Ennealimmal ==
			This mapping uses [[ennealimmal]] temperament; it maps one axis to 1\9 and one axis to ~21/20, an ennealimmal generator.
			{{Lumatone EDO mapping\|n=72\|start=0\|xstep=8\|ystep=-13}}

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

Lucius Chiaraviglio: /* Guiron + Harry + Marvolo (Marvel) + Mothra + Slendric */ Replace contorted Gamelismic clan temperaments with Miracle

2025-05-30T16:25:42Z

Guiron + Harry + Marvolo (Marvel) + Mothra + Slendric: Replace contorted Gamelismic clan temperaments with Miracle

← Older revision		Revision as of 16:25, 30 May 2025
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	{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}

	== ~~Guiron +~~ Harry + Marvolo (Marvel) + ~~Mothra + Slendric~~ ==		== Harry + Marvolo (Marvel) + Miracle ==

	[[Bryan Deister]] has demonstrated a mapping of [[72edo]] as nine rings of [[8edo]] going right, offset so as to also produce the scale [[11L 9s (4/1-equivalent)]], in [https://www.youtube.com/shorts/VwVp3RVao_k ''microtonal improvisation in 72edo''] (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~[[6/5]] as 19\72 and ~[[5/4]] as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~[[8/7]], the generator of [[Gamelismic_clan#Guiron\|Guiron]], [[Mothra]], and [[Slendric]]. Repeating this move twice more yields the highly accurate ~[[3/2]] as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~[[12/7]]; from there, moving one key to the right yields the primary generator of [[Marvel]] temperament, ~[[15/8]], as 65\72. The down-right generator 5\72 ([[20/19]] ~ [[21/20]] ~ [[22/21]]) matches [[Harry]] and [[Marvel_temperaments#Marvolo\|Marvolo]].		[[Bryan Deister]] has demonstrated a mapping of [[72edo]] as nine rings of [[8edo]] going right, offset so as to also produce the scale [[11L 9s (4/1-equivalent)]], in [https://www.youtube.com/shorts/VwVp3RVao_k ''microtonal improvisation in 72edo''] (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~[[6/5]] as 19\72 and ~[[5/4]] as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~[[8/7]], which corresponds to two generators (~[[15/14]]) of [[Miracle]]. (It is also the generator of [[Gamelismic_clan#Guiron\|Guiron]], [[Mothra]], and [[Slendric]], but 72edo is contorted in those temperaments). Repeating this move twice more yields the highly accurate ~[[3/2]] as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~[[12/7]]; from there, moving one key to the right yields the primary generator of [[Marvel]] temperament, ~[[15/8]], as 65\72. The down-right generator 5\72 ([[20/19]] ~ [[21/20]] ~ [[22/21]]) matches [[Harry]] and [[Marvel_temperaments#Marvolo\|Marvolo]].

	{{Lumatone EDO mapping\|n=72\|start=0\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=72\|start=0\|xstep=9\|ystep=-4}}

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

Lucius Chiaraviglio: /* Guiron + Harry + Marvel + Marvolo + Mothra + Slendric */ Make title correspond better to temperament support

2025-05-30T07:17:50Z

Guiron + Harry + Marvel + Marvolo + Mothra + Slendric: Make title correspond better to temperament support

← Older revision		Revision as of 07:17, 30 May 2025
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	{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}

	== Guiron + Harry + Marvel ~~+ Marvolo~~ + Mothra + Slendric ==		== Guiron + Harry + Marvolo (Marvel) + Mothra + Slendric ==

	[[Bryan Deister]] has demonstrated a mapping of [[72edo]] as nine rings of [[8edo]] going right, offset so as to also produce the scale [[11L 9s (4/1-equivalent)]], in [https://www.youtube.com/shorts/VwVp3RVao_k ''microtonal improvisation in 72edo''] (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~[[6/5]] as 19\72 and ~[[5/4]] as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~[[8/7]], the generator of [[Gamelismic_clan#Guiron\|Guiron]], [[Mothra]], and [[Slendric]]. Repeating this move twice more yields the highly accurate ~[[3/2]] as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~[[12/7]]; from there, moving one key to the right yields the primary generator of [[Marvel]] temperament, ~[[15/8]], as 65\72. The down-right generator 5\72 ([[20/19]] ~ [[21/20]] ~ [[22/21]]) matches [[Harry]] and [[Marvel_temperaments#Marvolo\|Marvolo]].		[[Bryan Deister]] has demonstrated a mapping of [[72edo]] as nine rings of [[8edo]] going right, offset so as to also produce the scale [[11L 9s (4/1-equivalent)]], in [https://www.youtube.com/shorts/VwVp3RVao_k ''microtonal improvisation in 72edo''] (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~[[6/5]] as 19\72 and ~[[5/4]] as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~[[8/7]], the generator of [[Gamelismic_clan#Guiron\|Guiron]], [[Mothra]], and [[Slendric]]. Repeating this move twice more yields the highly accurate ~[[3/2]] as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~[[12/7]]; from there, moving one key to the right yields the primary generator of [[Marvel]] temperament, ~[[15/8]], as 65\72. The down-right generator 5\72 ([[20/19]] ~ [[21/20]] ~ [[22/21]]) matches [[Harry]] and [[Marvel_temperaments#Marvolo\|Marvolo]].

Lucius Chiaraviglio: Add Bryan Deister's 72edo Lumatone mapping

2025-05-30T06:29:15Z

Add Bryan Deister's 72edo Lumatone mapping

← Older revision		Revision as of 06:29, 30 May 2025
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	Slicing the period in half to produce [[semimiracle]] makes ratios of 13 and 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.		Slicing the period in half to produce [[semimiracle]] makes ratios of 13 and 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.
	{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}

			== Guiron + Harry + Marvel + Marvolo + Mothra + Slendric ==

			[[Bryan Deister]] has demonstrated a mapping of [[72edo]] as nine rings of [[8edo]] going right, offset so as to also produce the scale [[11L 9s (4/1-equivalent)]], in [https://www.youtube.com/shorts/VwVp3RVao_k ''microtonal improvisation in 72edo''] (2025). While this mapping works to get as many notes as possible of 72edo into 280 keys (yielding a range of over 3⅔ octaves, it was designed to work to support specific temperaments. The close approximations of ~[[6/5]] as 19\72 and ~[[5/4]] as 23\72 (if using note 0 as the root) are next to each other and not far from the root right and somewhat down. From note 0, moving right and somewhat down between the note 1 and note 6 keys to reach 14\72 yields a highly accurate ~[[8/7]], the generator of [[Gamelismic_clan#Guiron\|Guiron]], [[Mothra]], and [[Slendric]]. Repeating this move twice more yields the highly accurate ~[[3/2]] as 42\72; repeating it once more after that to reach 56\72 yields an almost-just ~[[12/7]]; from there, moving one key to the right yields the primary generator of [[Marvel]] temperament, ~[[15/8]], as 65\72. The down-right generator 5\72 ([[20/19]] ~ [[21/20]] ~ [[22/21]]) matches [[Harry]] and [[Marvel_temperaments#Marvolo\|Marvolo]].

			{{Lumatone EDO mapping\|n=72\|start=0\|xstep=9\|ystep=-4}}

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

ArrowHead294: /* Diatonic */

2025-05-22T18:59:32Z

Diatonic

← Older revision		Revision as of 18:59, 22 May 2025
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	== Diatonic ==		== Diatonic ==
	You can use either the second- best alternate fifth:		You can use either the second- best alternate fifth, but it is extremely sharp, so much so that "major seconds" become 8/7 instead of 9/8.
	{{Lumatone EDO mapping\|n=72\|start=24\|xstep=14\|ystep=-13}}		{{Lumatone EDO mapping\|n=72\|start=24\|xstep=14\|ystep=-13}}

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	but these do not cover the full gamut or make the best-tuned intervals easily accessible.		but these do not cover the full gamut or make the best-tuned intervals easily accessible.

	== Miracle ==		== Miracle ==

ArrowHead294 at 15:30, 23 March 2025

2025-03-23T15:30:09Z

← Older revision		Revision as of 15:30, 23 March 2025
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	{{Lumatone mapping intro}} You can use either the second ~~or third~~ best alternate ~~fifths, but they will not cover the full gamut or make the best-tuned intervals easily accessible.~~		{{Lumatone mapping intro}}

			== Diatonic ==
			You can use either the second- best alternate fifth:
	{{Lumatone EDO mapping\|n=72\|start=24\|xstep=14\|ystep=-13}}		{{Lumatone EDO mapping\|n=72\|start=24\|xstep=14\|ystep=-13}}


			or the third-best:
	{{Lumatone EDO mapping\|n=72\|start=48\|xstep=10\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=48\|xstep=10\|ystep=1}}


	~~Instead,~~ the ~~most efficient way to put~~ the best-tuned intervals ~~near each other while allowing access to all of them is the [[miracle]] mapping, although this does reduce the range to a little over three octaves~~.		but these do not cover the full gamut or make the best-tuned intervals easily accessible.

			== Miracle ==
			Instead, the most efficient way to put the best-tuned intervals near each other while allowing access to all of them is the [[Miracle]] mapping, although this does reduce the range to a little over three octaves.
	{{Lumatone EDO mapping\|n=72\|start=30\|xstep=7\|ystep=2}}		{{Lumatone EDO mapping\|n=72\|start=30\|xstep=7\|ystep=2}}

			=== Semimiracle ===
	Slicing the period in half to produce [[semimiracle]] makes ratios of 13 and 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.		Slicing the period in half to produce [[semimiracle]] makes ratios of 13 and 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.

	{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}

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

ArrowHead294 at 18:38, 14 March 2025

2025-03-14T18:38:33Z

← Older revision		Revision as of 18:38, 14 March 2025
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	~~There are many conceivable ways to map [[72edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard~~ Lumatone mapping ~~for Pythagorean]] is not one of them.~~ You can use either the second or third best alternate fifths, but they will not cover the full gamut or make the best-tuned intervals easily accessible.		{{Lumatone mapping intro}} You can use either the second or third best alternate fifths, but they will not cover the full gamut or make the best-tuned intervals easily accessible.
			{{Lumatone EDO mapping\|n=72\|start=24\|xstep=14\|ystep=-13}}


	~~{{Lumatone EDO mapping\|n=72\|start=24\|xstep=14\|ystep=-13}}~~
	{{Lumatone EDO mapping\|n=72\|start=48\|xstep=10\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=48\|xstep=10\|ystep=1}}

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	Slicing the period in half to produce [[semimiracle]] makes ratios of 13 & 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.		Slicing the period in half to produce [[semimiracle]] makes ratios of 13 and 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.

	{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}

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

ArrowHead294 at 16:57, 11 February 2025

2025-02-11T16:57:53Z

← Older revision		Revision as of 16:57, 11 February 2025
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	{{Lumatone EDO mapping\|n=72\|start=24\|xstep=14\|ystep=-13}}		{{Lumatone EDO mapping\|n=72\|start=24\|xstep=14\|ystep=-13}}
	{{Lumatone EDO mapping\|n=72\|start=48\|xstep=10\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=48\|xstep=10\|ystep=1}}


	Instead, the most efficient way to put the best-tuned intervals near each other while allowing access to all of them is the [[miracle]] mapping, although this does reduce the range to a little over three octaves.		Instead, the most efficient way to put the best-tuned intervals near each other while allowing access to all of them is the [[miracle]] mapping, although this does reduce the range to a little over three octaves.

	{{Lumatone EDO mapping\|n=72\|start=30\|xstep=7\|ystep=2}}		{{Lumatone EDO mapping\|n=72\|start=30\|xstep=7\|ystep=2}}


	Slicing the period in half to produce [[semimiracle]] makes ratios of 13 & 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.		Slicing the period in half to produce [[semimiracle]] makes ratios of 13 & 17 just as easy to play as the 11-limit ones and also keeps octaves closer to horizontal.
Line 12:		Line 14:
	{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}		{{Lumatone EDO mapping\|n=72\|start=45\|xstep=7\|ystep=1}}

	{{Lumatone ~~mapping navigation~~}}		{{Navbox Lumatone}}