Lumatone mapping for 60edo - Revision history

Lucius Chiaraviglio: /* Biyatismic family rank-3 variant with Magic (Witchcraft) generator Lumatone mappings */ Fix sub-section heading

2025-11-25T08:53:59Z

Biyatismic family rank-3 variant with Magic (Witchcraft) generator Lumatone mappings: Fix sub-section heading

← Older revision		Revision as of 08:53, 25 November 2025
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	{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}

	== Biyatismic family rank-3 variant with Magic (Witchcraft) generator ~~Lumatone mappings~~ ==		== Biyatismic family rank-3 variant with Magic (Witchcraft) generator ==
	[[Bryan Deister]] has demonstrated a [[4L 2s]] (11:8 step ratio) mapping for [[60edo]], in [https://www.youtube.com/shorts/VA_P26_3dTk ''60edo improv''] (2025-11-22). The rightward generator 8\60e functions as both a sharp undecimal neutral second ~[[12/11]] and a somewhat flat undecimal submajor second ~[[11/10]] — the biyatisma [[121/120]] is tempered out. However, 8 is not co-prime with 60, so an additional generator is needed; for this, the right + down-right generator 9\60e works nicely as a somewhat flat classic major third ~[[5/4]], as in [[Magic]], specifically [[Witchcraft]] due to use of the 60e val. Indeed, the 60e version of the undecimal major fourth ~[[11/8]] is easily accessible as two keys right and one key down-right, while the accessing the patent val version requires moving four keys left from the next root note one octave up. This classic major third second generator even stands fine on its own for rank-2 temperament purposes, but it is hard to pass up the convenience of the single key rightward generator 8\60e. This mapping misses some notes in each octave (due to trying to get over five octaves of range on a standard-sized Lumatone), with the octaves sloping severely downwards, and has a reverse chroma; but on the other hand, common consonant intervals are easily accessible from the root note as long as not cut by a vertical wraparound. (Note that in the demo video, the MIDI note numbers are offset by +1 relative to the layout chosen here to maximize note 0 to note 0 octaves.)		[[Bryan Deister]] has demonstrated a [[4L 2s]] (11:8 step ratio) mapping for [[60edo]], in [https://www.youtube.com/shorts/VA_P26_3dTk ''60edo improv''] (2025-11-22). The rightward generator 8\60e functions as both a sharp undecimal neutral second ~[[12/11]] and a somewhat flat undecimal submajor second ~[[11/10]] — the biyatisma [[121/120]] is tempered out. However, 8 is not co-prime with 60, so an additional generator is needed; for this, the right + down-right generator 9\60e works nicely as a somewhat flat classic major third ~[[5/4]], as in [[Magic]], specifically [[Witchcraft]] due to use of the 60e val. Indeed, the 60e version of the undecimal major fourth ~[[11/8]] is easily accessible as two keys right and one key down-right, while the accessing the patent val version requires moving four keys left from the next root note one octave up. This classic major third second generator even stands fine on its own for rank-2 temperament purposes, but it is hard to pass up the convenience of the single key rightward generator 8\60e. This mapping misses some notes in each octave (due to trying to get over five octaves of range on a standard-sized Lumatone), with the octaves sloping severely downwards, and has a reverse chroma; but on the other hand, common consonant intervals are easily accessible from the root note as long as not cut by a vertical wraparound. (Note that in the demo video, the MIDI note numbers are offset by +1 relative to the layout chosen here to maximize note 0 to note 0 octaves.)
	{{Lumatone EDO mapping\|n=60\|start=27\|xstep=8\|ystep=3}}		{{Lumatone EDO mapping\|n=60\|start=27\|xstep=8\|ystep=3}}

Lucius Chiaraviglio: /* Magic */ Insert Biyatismic family rank-3 variant with Magic (Witchcraft) generator Lumatone mappings after this, starting with Bryan Deister's Lumatone mapping for 60edo

2025-11-25T08:53:15Z

Magic: Insert Biyatismic family rank-3 variant with Magic (Witchcraft) generator Lumatone mappings after this, starting with Bryan Deister's Lumatone mapping for 60edo

← Older revision		Revision as of 08:53, 25 November 2025
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	For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025-05-16), although with the first note 0 in the upper left corner instead of most of the way down to the lower left.		For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025-05-16), although with the first note 0 in the upper left corner instead of most of the way down to the lower left.
	{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}


	The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.		The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.
	{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}

			== Biyatismic family rank-3 variant with Magic (Witchcraft) generator Lumatone mappings ==
			[[Bryan Deister]] has demonstrated a [[4L 2s]] (11:8 step ratio) mapping for [[60edo]], in [https://www.youtube.com/shorts/VA_P26_3dTk ''60edo improv''] (2025-11-22). The rightward generator 8\60e functions as both a sharp undecimal neutral second ~[[12/11]] and a somewhat flat undecimal submajor second ~[[11/10]] — the biyatisma [[121/120]] is tempered out. However, 8 is not co-prime with 60, so an additional generator is needed; for this, the right + down-right generator 9\60e works nicely as a somewhat flat classic major third ~[[5/4]], as in [[Magic]], specifically [[Witchcraft]] due to use of the 60e val. Indeed, the 60e version of the undecimal major fourth ~[[11/8]] is easily accessible as two keys right and one key down-right, while the accessing the patent val version requires moving four keys left from the next root note one octave up. This classic major third second generator even stands fine on its own for rank-2 temperament purposes, but it is hard to pass up the convenience of the single key rightward generator 8\60e. This mapping misses some notes in each octave (due to trying to get over five octaves of range on a standard-sized Lumatone), with the octaves sloping severely downwards, and has a reverse chroma; but on the other hand, common consonant intervals are easily accessible from the root note as long as not cut by a vertical wraparound. (Note that in the demo video, the MIDI note numbers are offset by +1 relative to the layout chosen here to maximize note 0 to note 0 octaves.)
			{{Lumatone EDO mapping\|n=60\|start=27\|xstep=8\|ystep=3}}

	== Amity ==		== Amity ==

Lucius Chiaraviglio: /* Magic */ Fix label on demo video to distinguish it from a different video having the same name

2025-11-22T23:28:11Z

Magic: Fix label on demo video to distinguish it from a different video having the same name

← Older revision		Revision as of 23:28, 22 November 2025
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	== Magic ==		== Magic ==
	For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025), although with the first note 0 in the upper left corner instead of most of the way down to the lower left.		For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025-05-16), although with the first note 0 in the upper left corner instead of most of the way down to the lower left.
	{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}

Lucius Chiaraviglio: /* Magic */ Forgot to mention where note 0 is in the demonstration video

2025-05-17T07:26:11Z

Magic: Forgot to mention where note 0 is in the demonstration video

← Older revision		Revision as of 07:26, 17 May 2025
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	== Magic ==		== Magic ==
	For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025).		For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025), although with the first note 0 in the upper left corner instead of most of the way down to the lower left.
	{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}

Lucius Chiaraviglio: /* Magic */ Add link to demonstration video for 3L 13s mapping

2025-05-17T05:10:52Z

Magic: Add link to demonstration video for 3L 13s mapping

← Older revision		Revision as of 05:10, 17 May 2025
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	== Magic ==		== Magic ==
	For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.		For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves. [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/nlKHUDCR3pI ''60edo improv''] (2025).
	{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}


	The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.		The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.
	{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}

ArrowHead294 at 15:28, 23 March 2025

2025-03-23T15:28:28Z

← Older revision		Revision as of 15:28, 23 March 2025
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	{{Lumatone mapping intro}} Due to the very large number of notes, even those that do will have limited range. For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.		{{Lumatone mapping intro}} Due to the very large number of notes, even those that do will have limited range.

			== Magic ==
			For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.
	{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}

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	{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}

			== Amity ==
	The [[~~amity~~]] ~~mapping~~ also suffers from chroma skips between most columns unless expanded outwards from the [[4L 3s]] mapping to the [[7L 4s]] one, which also makes octaves further apart vertically.		The [[Lumatone mapping for Amity]] also suffers from chroma skips between most columns unless expanded outwards from the [[4L 3s]] mapping to the [[7L 4s]] one, which also makes octaves further apart vertically.
	{{Lumatone EDO mapping\|n=60\|start=53\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=60\|start=53\|xstep=9\|ystep=-1}}

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	{{Lumatone EDO mapping\|n=60\|start=0\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=60\|start=0\|xstep=8\|ystep=-1}}

			== Other mappings ==
			Other possible mappings include [[bleu]] and [[tritonic]], but it is the [[fifive]] mapping that produces an octotonic scale which maximises range while providing access to all the notes and makes it easiest to play simple ratios together.

	~~Other possible mappings include [[bleu]]~~		=== Bleu ===
	{{Lumatone EDO mapping\|n=60\|start=4\|xstep=7\|ystep=-4}}		{{Lumatone EDO mapping\|n=60\|start=4\|xstep=7\|ystep=-4}}

			=== Tritonic ===
	~~Or [[tritonic]]~~
	{{Lumatone EDO mapping\|n=60\|start=5\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=60\|start=5\|xstep=9\|ystep=-7}}

			=== Fifive ===
	~~However, it is the [[fifive]] mapping that produces an octotonic scale which maximises range while providing access to all the notes and makes it easiest to play simple ratios together.~~
	{{Lumatone EDO mapping\|n=60\|start=27\|xstep=7\|ystep=2}}		{{Lumatone EDO mapping\|n=60\|start=27\|xstep=7\|ystep=2}}

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

ArrowHead294 at 18:37, 14 March 2025

2025-03-14T18:37:22Z

ArrowHead294 at 16:51, 11 February 2025

2025-02-11T16:51:56Z

← Older revision		Revision as of 16:51, 11 February 2025
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	There are many conceivable ways to map [[60edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Since it is [[Highly_composite_equal_division\|highly composite]], many other mappings will also fail to cover the entire gamut, and even those that do will have limited range. For example, [[magic]] needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.		There are many conceivable ways to map [[60edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them. Since it is [[Highly_composite_equal_division\|highly composite]], many other mappings will also fail to cover the entire gamut, and even those that do will have limited range. For example, [[magic]] needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.

	{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}

	The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.		The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.
	{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}

	The [[amity]] mapping also suffers from chroma skips between most columns unless expanded outwards from the [[4L 3s]] mapping to the [[7L 4s]] one, which also makes octaves further apart vertically.		The [[amity]] mapping also suffers from chroma skips between most columns unless expanded outwards from the [[4L 3s]] mapping to the [[7L 4s]] one, which also makes octaves further apart vertically.
	{{Lumatone EDO mapping\|n=60\|start=53\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=60\|start=53\|xstep=9\|ystep=-1}}
	{{Lumatone EDO mapping\|n=60\|start=0\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=60\|start=0\|xstep=8\|ystep=-1}}
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	{{Lumatone EDO mapping\|n=60\|start=27\|xstep=7\|ystep=2}}		{{Lumatone EDO mapping\|n=60\|start=27\|xstep=7\|ystep=2}}

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

Yourmusic Productions: Finally found the time to crunch the math to optimise this one.

2025-01-30T16:16:19Z

Finally found the time to crunch the math to optimise this one.

← Older revision		Revision as of 16:16, 30 January 2025
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	Or [[tritonic]]		Or [[tritonic]]
	{{Lumatone EDO mapping\|n=60\|start=5\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=60\|start=5\|xstep=9\|ystep=-7}}

			However, it is the [[fifive]] mapping that produces an octotonic scale which maximises range while providing access to all the notes and makes it easiest to play simple ratios together.

			{{Lumatone EDO mapping\|n=60\|start=27\|xstep=7\|ystep=2}}

	{{Lumatone mapping navigation}}		{{Lumatone mapping navigation}}

BudjarnLambeth at 01:35, 17 November 2024

2024-11-17T01:35:10Z

← Older revision		Revision as of 01:35, 17 November 2024
Line 16:		Line 16:
	{{Lumatone EDO mapping\|n=60\|start=5\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=60\|start=5\|xstep=9\|ystep=-7}}

	~~[[Category:~~Lumatone ~~mappings]] [[Category:60edo]]~~		{{Lumatone mapping navigation}}

← Older revision		Revision as of 18:37, 14 March 2025
Line 1:		Line 1:
	~~There are many conceivable ways to map [[60edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard~~ Lumatone mapping ~~for Pythagorean]] is not one of them. Since it is [[Highly_composite_equal_division\|highly composite]], many other mappings will also fail~~ to ~~cover~~ the ~~entire gamut~~, ~~and~~ even those that do will have limited range. For example, [[magic]] needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.		{{Lumatone mapping intro}} Due to the very large number of notes, even those that do will have limited range. For example, the [[magic]] mapping needs to be expanded to the [[3L 13s]] mos, at which point it only has a range of three and a half octaves.
			{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}

	~~{{Lumatone EDO mapping\|n=60\|start=57\|xstep=7\|ystep=-3}}~~

	The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.		The [[3L 10s]] mapping is still playable and covers 5 octaves, but skips a number of chromas along the way, and this escalates with more compressed mappings.
	{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}		{{Lumatone EDO mapping\|n=60\|start=44\|xstep=10\|ystep=-3}}


	The [[amity]] mapping also suffers from chroma skips between most columns unless expanded outwards from the [[4L 3s]] mapping to the [[7L 4s]] one, which also makes octaves further apart vertically.		The [[amity]] mapping also suffers from chroma skips between most columns unless expanded outwards from the [[4L 3s]] mapping to the [[7L 4s]] one, which also makes octaves further apart vertically.
	{{Lumatone EDO mapping\|n=60\|start=53\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=60\|start=53\|xstep=9\|ystep=-1}}


	{{Lumatone EDO mapping\|n=60\|start=0\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=60\|start=0\|xstep=8\|ystep=-1}}


	Other possible mappings include [[bleu]]		Other possible mappings include [[bleu]]
	{{Lumatone EDO mapping\|n=60\|start=4\|xstep=7\|ystep=-4}}		{{Lumatone EDO mapping\|n=60\|start=4\|xstep=7\|ystep=-4}}


	Or [[tritonic]]		Or [[tritonic]]
	{{Lumatone EDO mapping\|n=60\|start=5\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=60\|start=5\|xstep=9\|ystep=-7}}


	However, it is the [[fifive]] mapping that produces an octotonic scale which maximises range while providing access to all the notes and makes it easiest to play simple ratios together.		However, it is the [[fifive]] mapping that produces an octotonic scale which maximises range while providing access to all the notes and makes it easiest to play simple ratios together.

	{{Lumatone EDO mapping\|n=60\|start=27\|xstep=7\|ystep=2}}		{{Lumatone EDO mapping\|n=60\|start=27\|xstep=7\|ystep=2}}

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