Lumatone mapping for 58edo - Revision history

Lucius Chiaraviglio: /* Pseudo-Isomorphic Pseudo-Diatonic */ Accidentally chopped off the template — fixing this

2025-10-07T03:20:55Z

Pseudo-Isomorphic Pseudo-Diatonic: Accidentally chopped off the template — fixing this

← Older revision		Revision as of 03:20, 7 October 2025
Line 30:		Line 30:
	== Pseudo-Isomorphic Pseudo-Diatonic ==		== Pseudo-Isomorphic Pseudo-Diatonic ==
	[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 58edo that uses the flat fifth diatonic layout of [[59edo]], with note 58 being a duplicate of note 0, in [[https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025).		[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 58edo that uses the flat fifth diatonic layout of [[59edo]], with note 58 being a duplicate of note 0, in [[https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025).
			{{Lumatone EDO mapping\|n=59\|start=49\|xstep=9\|ystep=-2}}

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

Lucius Chiaraviglio: /* Harry */ Insert Bryan Deister's pseudo-isomorphic pseudo-diatonic mapping after this

2025-10-07T03:19:36Z

Harry: Insert Bryan Deister's pseudo-isomorphic pseudo-diatonic mapping after this

← Older revision		Revision as of 03:19, 7 October 2025
Line 27:		Line 27:
	Or if you don't mind the smaller range and want to more easily exploit narrow intervals, there is the [[2L 12s]] [[Harry]] mapping (as in [[Lumatone mapping for harry]])		Or if you don't mind the smaller range and want to more easily exploit narrow intervals, there is the [[2L 12s]] [[Harry]] mapping (as in [[Lumatone mapping for harry]])
	{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}

			== Pseudo-Isomorphic Pseudo-Diatonic ==
			[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 58edo that uses the flat fifth diatonic layout of [[59edo]], with note 58 being a duplicate of note 0, in [[https://www.youtube.com/shorts/H5XG4lrvrP8 ''58edo groove''] (2025).

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

Lucius Chiaraviglio: /* Diaschismic (+ Charismic + Semitonismic) */ Fix typos in description

2025-08-21T08:41:06Z

Diaschismic (+ Charismic + Semitonismic): Fix typos in description

← Older revision		Revision as of 08:41, 21 August 2025
Line 2:		Line 2:

	== Diaschismic (+ Charismic + Semitonismic) ==		== Diaschismic (+ Charismic + Semitonismic) ==
	The [[2L 6s]] (14:5 step ratio) and [[2L 8s]] (9:5 step ratio) [[Diaschismic]] mappings are probably the most intuitive ways of covering the whole gamut while putting well-tuned ones close together if you're used to playing 12edo. The rightward generator 5\58 functions as the classic ~~diatonmic~~ semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]], meaning that the charisma [[256/255]] and the semitonisma ([289/288]] are both tempered out. The rightward generator is also the [[normal forms\|minimal form]] of the Diaschismic generator, and indeed the [[diaschisma]] 2048/2045 is also tempered out. This generator makes a slew of intervals of reasonable prime limit that are not far from just: two of them make a near-just whole tone ~[[9/8]]; three of them make a mildly flat classic minor third ~[[6/5]]; four of them make a mildly flat undecimal major third ~[[14/11]]; five of them make a near-just classic acute fourth ~[[27/20]]; six of them pass the [[semioctave]] to make a slightly flat greater septimal tritone ~[[10/7]]; seven of them make a slightly flat septimal superfifth ~[[32/21]]; eight of them make a slightly flat tridecimal supraminor sixth ~[[21/13]]; nine of them make a near-just septimal major sixth ~[[12/7]]; and ten of them make an extremely accurate undecimal supraminor seventh ~[[20/11]]. Other common intervals such as the moderately sharp (although high in relative error) classic major third ~[[5/4]], the near-just perfect fourth ~[[4/3]], and the near-just perfect fifth ~[[3/2]] are in very easy reach of the chain of rightward generators, and not very distant from the root note. This may be sufficient compensation for the reverse chroma and the range of only three full octaves (which slope only slightly upward), with large partial octaves being chopped off by the upper left and lower right corners, which may be compositionally limiting.		The [[2L 6s]] (14:5 step ratio) and [[2L 8s]] (9:5 step ratio) [[Diaschismic]] mappings are probably the most intuitive ways of covering the whole gamut while putting well-tuned ones close together if you're used to playing 12edo. The rightward generator 5\58 functions as the classic diatonic semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]], meaning that the charisma [[256/255]] and the semitonisma [[289/288]] are both tempered out. The rightward generator is also the [[normal forms\|minimal form]] of the Diaschismic generator, and indeed the [[diaschisma]] 2048/2045 is also tempered out. This generator makes a slew of intervals of reasonable prime limit that are not far from just: two of them make a near-just whole tone ~[[9/8]]; three of them make a mildly flat classic minor third ~[[6/5]]; four of them make a mildly flat undecimal major third ~[[14/11]]; five of them make a near-just classic acute fourth ~[[27/20]]; six of them pass the [[semioctave]] to make a slightly flat greater septimal tritone ~[[10/7]]; seven of them make a slightly flat septimal superfifth ~[[32/21]]; eight of them make a slightly flat tridecimal supraminor sixth ~[[21/13]]; nine of them make a near-just septimal major sixth ~[[12/7]]; and ten of them make an extremely accurate undecimal supraminor seventh ~[[20/11]]. Other common intervals such as the moderately sharp (although high in relative error) classic major third ~[[5/4]], the near-just perfect fourth ~[[4/3]], and the near-just perfect fifth ~[[3/2]] are in very easy reach of the chain of rightward generators, and not very distant from the root note. This may be sufficient compensation for the reverse chroma and the range of only three full octaves (which slope only slightly upward), with large partial octaves being chopped off by the upper left and lower right corners, which may be compositionally limiting.

	=== 2L 6s (14:5 step ratio) ===		=== 2L 6s (14:5 step ratio) ===

Lucius Chiaraviglio: /* Diaschismic */ Add Bryan Deister's version, and add temperament description (including ergonomics)

2025-08-19T21:14:32Z

Diaschismic: Add Bryan Deister's version, and add temperament description (including ergonomics)

← Older revision		Revision as of 21:14, 19 August 2025
Line 1:		Line 1:
	{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was.		{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was.

	== Diaschismic ==		== Diaschismic (+ Charismic + Semitonismic) ==
	The [[2L 8s]] [[~~diaschismic~~]] ~~mapping is~~ probably the most intuitive ~~way~~ of covering the whole gamut while putting well-tuned ones close together if you're used to playing 12edo.		The [[2L 6s]] (14:5 step ratio) and [[2L 8s]] (9:5 step ratio) [[Diaschismic]] mappings are probably the most intuitive ways of covering the whole gamut while putting well-tuned ones close together if you're used to playing 12edo. The rightward generator 5\58 functions as the classic diatonmic semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]], meaning that the charisma [[256/255]] and the semitonisma ([289/288]] are both tempered out. The rightward generator is also the [[normal forms\|minimal form]] of the Diaschismic generator, and indeed the [[diaschisma]] 2048/2045 is also tempered out. This generator makes a slew of intervals of reasonable prime limit that are not far from just: two of them make a near-just whole tone ~[[9/8]]; three of them make a mildly flat classic minor third ~[[6/5]]; four of them make a mildly flat undecimal major third ~[[14/11]]; five of them make a near-just classic acute fourth ~[[27/20]]; six of them pass the [[semioctave]] to make a slightly flat greater septimal tritone ~[[10/7]]; seven of them make a slightly flat septimal superfifth ~[[32/21]]; eight of them make a slightly flat tridecimal supraminor sixth ~[[21/13]]; nine of them make a near-just septimal major sixth ~[[12/7]]; and ten of them make an extremely accurate undecimal supraminor seventh ~[[20/11]]. Other common intervals such as the moderately sharp (although high in relative error) classic major third ~[[5/4]], the near-just perfect fourth ~[[4/3]], and the near-just perfect fifth ~[[3/2]] are in very easy reach of the chain of rightward generators, and not very distant from the root note. This may be sufficient compensation for the reverse chroma and the range of only three full octaves (which slope only slightly upward), with large partial octaves being chopped off by the upper left and lower right corners, which may be compositionally limiting.
	~~{{Lumatone EDO mapping\|n=~~58\|~~start=19\|xstep=~~5~~\|ystep=~~4}}

			=== 2L 6s (14:5 step ratio) ===
			[[Bryan Deister]] has demonstrated the 2L 6s mapping in [https://www.youtube.com/shorts/7gkRyld5OU8 ''Waltz in 58edo''] (2025).
			{{Lumatone EDO mapping\|n=58\|start=27\|xstep=5\|ystep=9}}

	~~However~~, ~~this results in a~~ range ~~barely~~ over ~~3 octaves~~, ~~which may be compositionally limiting~~.		=== 2L 8s (9:5 step ratio) ===
			This mapping has close to the same full octave range as the 2L 6s mapping, but spreads the range out over more of the Lumatone keyboard to get more repeated notes (and smaller partial octave regions chopped off by the upper left and lower right corners), and the cost of putting common intervals one rightward position further away from the root note.
			{{Lumatone EDO mapping\|n=58\|start=19\|xstep=5\|ystep=4}}

	== Echidna ==		== Echidna ==

Lucius Chiaraviglio: /* Echidna */ Add link to video demonstrating use of this mapping

2025-05-16T15:50:26Z

Echidna: Add link to video demonstrating use of this mapping

← Older revision		Revision as of 15:50, 16 May 2025
Line 9:		Line 9:

	== Echidna ==		== Echidna ==
	The [[6L 2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].)		The [[6L 2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].) [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/4J4MNno-4PA ''58edo improv''] (2025).
	{{Lumatone EDO mapping\|n=58\|start=54\|xstep=8\|ystep=-3}}		{{Lumatone EDO mapping\|n=58\|start=54\|xstep=8\|ystep=-3}}

ArrowHead294 at 15:25, 23 March 2025

2025-03-23T15:25:21Z

← Older revision		Revision as of 15:25, 23 March 2025
Line 1:		Line 1:
	{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was. ~~Instead, the~~ [[2L 8s]] [[diaschismic]] mapping is probably the most intuitive way of covering the whole gamut while putting well-tuned ones close together if you're used to playing 12edo.		{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was.

			== Diaschismic ==
			The [[2L 8s]] [[diaschismic]] mapping is probably the most intuitive way of covering the whole gamut while putting well-tuned ones close together if you're used to playing 12edo.
	{{Lumatone EDO mapping\|n=58\|start=19\|xstep=5\|ystep=4}}		{{Lumatone EDO mapping\|n=58\|start=19\|xstep=5\|ystep=4}}

Line 5:		Line 8:
	However, this results in a range barely over 3 octaves, which may be compositionally limiting.		However, this results in a range barely over 3 octaves, which may be compositionally limiting.

			== Echidna ==
	The [[6L 2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].)		The [[6L 2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].)
	{{Lumatone EDO mapping\|n=58\|start=54\|xstep=8\|ystep=-3}}		{{Lumatone EDO mapping\|n=58\|start=54\|xstep=8\|ystep=-3}}

			== Hemififths ==
	Other good options include the [[7L 3s]] [[Hemififths]]		Other good options include the [[7L 3s]] [[Hemififths]]
	{{Lumatone EDO mapping\|n=58\|start=2\|xstep=7\|ystep=-4}}		{{Lumatone EDO mapping\|n=58\|start=2\|xstep=7\|ystep=-4}}

			== Buzzard ==
	The [[5L 3s]] [[Buzzard]] mapping is also another good option, although this occasionally skips a step.		The [[5L 3s]] [[Buzzard]] mapping is also another good option, although this occasionally skips a step.
	{{Lumatone EDO mapping\|n=58\|start=9\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=58\|start=9\|xstep=11\|ystep=-10}}

			== Harry ==
	Or if you don't mind the smaller range and want to more easily exploit narrow intervals, there is the [[2L 12s]] [[Harry]] mapping (as in [[Lumatone mapping for harry]])		Or if you don't mind the smaller range and want to more easily exploit narrow intervals, there is the [[2L 12s]] [[Harry]] mapping (as in [[Lumatone mapping for harry]])
	{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}

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

ArrowHead294 at 18:34, 14 March 2025

2025-03-14T18:34:13Z

← Older revision		Revision as of 18:34, 14 March 2025
Line 1:		Line 1:
	{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was. Instead, the [[2L 8s]] [[diaschismic]] mapping is probably the most intuitive way of ~~providing access to all intervals~~ while putting well-tuned ones close together if you're used to playing 12edo.		{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was. Instead, the [[2L 8s]] [[diaschismic]] mapping is probably the most intuitive way of covering the whole gamut while putting well-tuned ones close together if you're used to playing 12edo.
	{{Lumatone EDO mapping\|n=58\|start=19\|xstep=5\|ystep=4}}		{{Lumatone EDO mapping\|n=58\|start=19\|xstep=5\|ystep=4}}


	However, this results in a range barely over 3 octaves, which may be compositionally limiting.		However, this results in a range barely over 3 octaves, which may be compositionally limiting.


	The [[6L 2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].)		The [[6L 2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].)
	{{Lumatone EDO mapping\|n=58\|start=54\|xstep=8\|ystep=-3}}		{{Lumatone EDO mapping\|n=58\|start=54\|xstep=8\|ystep=-3}}

	Other good options include [[7L 3s]] [[Hemififths]]
			Other good options include the [[7L 3s]] [[Hemififths]]
	{{Lumatone EDO mapping\|n=58\|start=2\|xstep=7\|ystep=-4}}		{{Lumatone EDO mapping\|n=58\|start=2\|xstep=7\|ystep=-4}}

	[[5L 3s]] [[Buzzard]], although this occasionally skips a step.
			The [[5L 3s]] [[Buzzard]] mapping is also another good option, although this occasionally skips a step.
	{{Lumatone EDO mapping\|n=58\|start=9\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=58\|start=9\|xstep=11\|ystep=-10}}

	Or if you don't mind the smaller range and want to more easily exploit narrow intervals, [[2L 12s]] [[Harry]] (as in [[Lumatone mapping for harry]])
			Or if you don't mind the smaller range and want to more easily exploit narrow intervals, there is the [[2L 12s]] [[Harry]] mapping (as in [[Lumatone mapping for harry]])
	{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}

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

ArrowHead294 at 18:32, 14 March 2025

2025-03-14T18:32:16Z

← Older revision		Revision as of 18:32, 14 March 2025
Line 1:		Line 1:
	~~There are many conceivable ways to map [[58edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of 5ths, the [[Standard~~ Lumatone mapping ~~for Pythagorean]] is not one of them, and due~~ to ~~it's~~ size, would not cover the whole gamut even if it was. Instead, the [[2L 8s]] [[diaschismic]] mapping is probably the most intuitive way of providing access to all intervals while putting well-tuned ones close together if you're used to playing 12edo.		{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was. Instead, the [[2L 8s]] [[diaschismic]] mapping is probably the most intuitive way of providing access to all intervals while putting well-tuned ones close together if you're used to playing 12edo.
	{{Lumatone EDO mapping\|n=58\|start=19\|xstep=5\|ystep=4}}		{{Lumatone EDO mapping\|n=58\|start=19\|xstep=5\|ystep=4}}

Line 5:		Line 5:


	The [[6L 2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].)		The [[6L 2s]] [[Echidna]] mapping has fewer repeated notes while still providing the full gamut, giving you a range almost as large as the standard mapping. (This mapping, like many others, is [https://www.facebook.com/groups/lumatone.keyboard/permalink/5624482024327650 available from the Lumatone Facebook group].)
	{{Lumatone EDO mapping\|n=58\|start=54\|xstep=8\|ystep=-3}}		{{Lumatone EDO mapping\|n=58\|start=54\|xstep=8\|ystep=-3}}

	Other good options include [[7L 3s]] [[Hemififths]]		Other good options include [[7L 3s]] [[Hemififths]]
	{{Lumatone EDO mapping\|n=58\|start=2\|xstep=7\|ystep=-4}}		{{Lumatone EDO mapping\|n=58\|start=2\|xstep=7\|ystep=-4}}

	[[5L 3s]] [[Buzzard]], although this occasionally skips a step.		[[5L 3s]] [[Buzzard]], although this occasionally skips a step.
	{{Lumatone EDO mapping\|n=58\|start=9\|xstep=11\|ystep=-10}}		{{Lumatone EDO mapping\|n=58\|start=9\|xstep=11\|ystep=-10}}

	Or if you don't mind the smaller range and want to more easily exploit narrow intervals, [[2L 12s]] [[Harry]] (as in [[Lumatone mapping for harry]])		Or if you don't mind the smaller range and want to more easily exploit narrow intervals, [[2L 12s]] [[Harry]] (as in [[Lumatone mapping for harry]])
	{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}

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

ArrowHead294 at 16:53, 11 February 2025

2025-02-11T16:53:19Z

← Older revision		Revision as of 16:53, 11 February 2025
Line 17:		Line 17:
	{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}

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

BudjarnLambeth at 01:34, 17 November 2024

2024-11-17T01:34:43Z

← Older revision		Revision as of 01:34, 17 November 2024
Line 17:		Line 17:
	{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}		{{Lumatone EDO mapping\|n=58\|start=40\|xstep=4\|ystep=1}}

	~~[[Category:~~Lumatone ~~mappings]] [[Category:58edo]]~~		{{Lumatone mapping navigation}}