Lumatone mapping for 55edo - Revision history

Lucius Chiaraviglio: /* Tetracot */ Fix wording about alternate tetracot generator, because although the 55 patent val tetracot alternatve is a valid temperament that uses the same mapping, technically it is not the canonical tetracot temperament

2026-05-29T03:25:59Z

Tetracot: Fix wording about alternate tetracot generator, because although the 55 patent val tetracot alternatve is a valid temperament that uses the same mapping, technically it is not the canonical tetracot temperament

← Older revision		Revision as of 03:25, 29 May 2026
Line 7:		Line 7:

	== Tetracot ==		== Tetracot ==
	The [[6L 1s]] [[Tetracot]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. ~~Normally,~~ tetracot uses a flat ptolemaic whole tone ~[[10/9]] (tempered together with a flat undecimal submajor second ~[[11/10]] in the [[11-limit]]), requiring use of the 55c val to get 8\55; but it is possible to bypass the need for this wart by instead using the slightly flat tricesimoprimal whole tone ~[[31/28]] to get 8\55, which works with the [[patent val]] of 55edo. This mapping is shown in action in [[Bryan Deister]]'s [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).		The [[6L 1s]] [[Tetracot]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. Actual tetracot temperament uses a flat ptolemaic whole tone ~[[10/9]] (tempered together with a flat undecimal submajor second ~[[11/10]] in the [[11-limit]]), requiring use of the 55c val to get 8\55; but it is possible to bypass the need for this wart by instead using the slightly flat tricesimoprimal whole tone ~[[31/28]] to get 8\55, thereby creating a tetracot analog which works with the [[patent val]] of 55edo. This mapping is shown in action in [[Bryan Deister]]'s [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).
	{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}

Lucius Chiaraviglio: /* Tetracot */ Alternate tetracot generator that works with 55edo patent val; add artist's name for demo video

2026-05-29T03:23:17Z

Tetracot: Alternate tetracot generator that works with 55edo patent val; add artist's name for demo video

← Older revision		Revision as of 03:23, 29 May 2026
Line 7:		Line 7:

	== Tetracot ==		== Tetracot ==
	The [[6L 1s]] ([[Tetracot]]~~, 55c val)~~ mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. This mapping is shown in action in [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).		The [[6L 1s]] [[Tetracot]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. Normally, tetracot uses a flat ptolemaic whole tone ~[[10/9]] (tempered together with a flat undecimal submajor second ~[[11/10]] in the [[11-limit]]), requiring use of the 55c val to get 8\55; but it is possible to bypass the need for this wart by instead using the slightly flat tricesimoprimal whole tone ~[[31/28]] to get 8\55, which works with the [[patent val]] of 55edo. This mapping is shown in action in [[Bryan Deister]]'s [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).
	{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}

Yourmusic Productions: add new mapping.

2026-03-28T18:09:49Z

add new mapping.

← Older revision		Revision as of 18:09, 28 March 2026
Line 7:		Line 7:

	== Tetracot ==		== Tetracot ==
	The [[6L 1s]] ([[Tetracot]], 55c val) mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking~~. However, the [[7L 6s]] MOS has a 7:1 step ratio, making it quite lopsided~~. This mapping is shown in action in [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).		The [[6L 1s]] ([[Tetracot]], 55c val) mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. This mapping is shown in action in [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).
	{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}

			== Fibonaccic ==
			As 55 is a fibonacci number, using the fibonacci numbers one or two steps lower in the sequence as a generator will generate a [[5L 3s]] scale that is only slightly less efficient than the diatonic one, but makes playing xenharmonic combinations of notes together much easier.
			{{Lumatone EDO mapping\|n=55\|start=53\|xstep=8\|ystep=-3}}

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

Lucius Chiaraviglio: /* Tetracot */ Add demo video

2025-09-09T08:22:23Z

Tetracot: Add demo video

← Older revision		Revision as of 08:22, 9 September 2025
Line 7:		Line 7:

	== Tetracot ==		== Tetracot ==
	The [[6L 1s]] ([[Tetracot]], 55c val) mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. However, the [[7L 6s]] MOS has a 7:1 step ratio, making it quite lopsided.		The [[6L 1s]] ([[Tetracot]], 55c val) mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. However, the [[7L 6s]] MOS has a 7:1 step ratio, making it quite lopsided. This mapping is shown in action in [https://www.youtube.com/shorts/eQHpMFLrjjQ ''55edo prelude''] (2025).
	{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}

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

Lucius Chiaraviglio: /* Diatonic */ Add text, including link to demonstration video

2025-05-27T09:03:00Z

Diatonic: Add text, including link to demonstration video

← Older revision		Revision as of 09:03, 27 May 2025
Line 2:		Line 2:

	== Diatonic ==		== Diatonic ==
			The [[Standard Lumatone mapping for Pythagorean]] already produces a very efficient mapping for 55edo, so any alternative mapping would have to offer a compelling advantage in making certain intervals or scales easier to play. This mapping is shown in action in [[Bryan Deister]]'s [https://www.youtube.com/shorts/l62rb8ULCXs ''55edo improv''] (2025).

	{{Lumatone EDO mapping\|n=55\|start=53\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=55\|start=53\|xstep=9\|ystep=-4}}

ArrowHead294: /* Tetracot */

2025-05-26T11:29:25Z

Tetracot

← Older revision		Revision as of 11:29, 26 May 2025
Line 5:		Line 5:

	== Tetracot ==		== Tetracot ==
	The [[6L 1s]] ([[Tetracot]], 55c val) mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking.		The [[6L 1s]] ([[Tetracot]], 55c val) mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking. However, the [[7L 6s]] MOS has a 7:1 step ratio, making it quite lopsided.
	{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}

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

Lucius Chiaraviglio: /* Other mappings */ Change to Tetracot

2025-05-26T09:17:20Z

Other mappings: Change to Tetracot

← Older revision		Revision as of 09:17, 26 May 2025
Line 4:		Line 4:
	{{Lumatone EDO mapping\|n=55\|start=53\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=55\|start=53\|xstep=9\|ystep=-4}}

	== ~~Other mappings~~ ==		== Tetracot ==
	The [[6L 1s]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking.		The [[6L 1s]] ([[Tetracot]], 55c val) mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking.
	{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}

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

ArrowHead294 at 15:23, 23 March 2025

2025-03-23T15:23:56Z

← Older revision		Revision as of 15:23, 23 March 2025
Line 1:		Line 1:
	{{Lumatone mapping intro}}		{{Lumatone mapping intro}}

			== Diatonic ==
	{{Lumatone EDO mapping\|n=55\|start=53\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=55\|start=53\|xstep=9\|ystep=-4}}

			== Other mappings ==
	The [[6L 1s]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking.		The [[6L 1s]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking.
	{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}

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

ArrowHead294 at 18:31, 14 March 2025

2025-03-14T18:31:18Z

← Older revision		Revision as of 18:31, 14 March 2025
Line 3:		Line 3:


	The [[6L 1s]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking.		The [[6L 1s]] mapping also provides a heptatonic scale that gives you access to all the notes in the gamut in an intuitive way without any backtracking.
	{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=55\|start=37\|xstep=8\|ystep=-1}}

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

ArrowHead294 at 18:31, 14 March 2025

2025-03-14T18:31:09Z

← Older revision		Revision as of 18:31, 14 March 2025
Line 1:		Line 1:
	~~There are many conceivable ways to map [[55edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard~~ Lumatone mapping ~~for Pythagorean]].~~		{{Lumatone mapping intro}}
	{{Lumatone EDO mapping\|n=55\|start=53\|xstep=9\|ystep=-4}}		{{Lumatone EDO mapping\|n=55\|start=53\|xstep=9\|ystep=-4}}