Lumatone mapping for 44edo - Revision history

Lucius Chiaraviglio: /* Antidiatonic */ Insert Bryan Deister's Bidia + Diminished + Charismic + Semitonismic (Flipped Antidiatonic/Superdiatonic) after this

2026-01-11T09:49:37Z

Antidiatonic: Insert Bryan Deister's Bidia + Diminished + Charismic + Semitonismic (Flipped Antidiatonic/Superdiatonic) after this

← Older revision		Revision as of 09:49, 11 January 2026
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	You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].		You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
	{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}

			== Bidia + Diminished + Charismic + Semitonismic (Flipped Antidiatonic/Superdiatonic) ==
			[[Bryan Deister]] has demonstrated a [[4L 4s]] mapping (6:5 step ratio) [[44edo]], in ''Buried Treasure - 44edo'' (2026) [https://www.youtube.com/shorts/Oi3v0c7jbjM (''<nowiki>[short clip]</nowiki>''], [https://www.youtube.com/shorts/ZOoiGuUA-9Y ''<nowiki>[short 2]</nowiki>'']). This mapping also functions as a very hard flipped superdiatonic mapping ([[7L 2s]], 6:1 step ratio with the small steps going up instead of down-right), a flipped antidiatonic mapping ([[2L 5s]] with 7:6 step ratio and expanded small step going right + up), and as a [[13L 3s (4/1-equivalent)]] mapping (with 6:5 step ratio, proceeding through the octave zig-zag). Right + down-right divides the octave into slices of 11\56; as an interval in its own right, this is the same as the minor third of [[12edo]], which functions as ~[[19/16]] and ~[[25/21]] (both being near-just). Down-right alone is 4\56, which is the [[Normal forms#Minimal_form\|minimal form]] generator for [[Bidia]]; it functions as the classic diatonic semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]] (which is inconsistently mapped), meaning that the charisma [[256/255]] and the semitonisma [[289/288]] are both tempered out; two of them make a rather sharp whole tone ~[[9/8]] (which is also inconsistently mapped); three of them (passing the quarter-octave) make a sharp classic minor third ~[[6/5]], while the afore-mentioned quarter-octave (12edo-style) minor third is about equally easy to reach; in contrast, the somewhat flat classic major third ~[[5/4]] requires two moves rightwards plus two moves upwards; four moves right reaches the rather flat fourth ~[[4/3]]; another move right and two moves upreaches the rather sharp fifth ~[[3/2]]. The range is a bit under 4¾ complete octaves (with some extra non-contiguous notes at each end), but unlike the normal antidiatonic mapping, the octaves alternate between near/far and mid or near and far (superimposed upon an overall upwards slope).
			{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=-1}}

	== Pseudo-Isomorphic Pseudo-Diatonic ==		== Pseudo-Isomorphic Pseudo-Diatonic ==

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

2025-10-15T06:58:29Z

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

← Older revision		Revision as of 06:58, 15 October 2025
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	You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].		You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
	{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}

			== Pseudo-Isomorphic Pseudo-Diatonic ==
			To get a quasi-diatonic layout with a reasonable fifth, you can shoehorn the diatonic mapping for [[45edo]] into 44edo, with note 44 being a duplicate note 0, as [[Bryan Deister]] demonstrates in [https://www.youtube.com/shorts/_GoQNEW24fQ ''44edo improv''] (Oct 2025)
			{{Lumatone EDO mapping\|n=45\|start=39\|xstep=7\|ystep=-2}}

	== Neutral thirds ==		== Neutral thirds ==

ArrowHead294 at 15:15, 23 March 2025

2025-03-23T15:15:59Z

← Older revision		Revision as of 15:15, 23 March 2025
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	{{Lumatone mapping intro}} You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].		{{Lumatone mapping intro}}

			== Antidiatonic ==
			You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
	{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}

			== Neutral thirds ==
	~~Slicing~~ the perfect ~~5th or 4th~~ in half ~~are also fairly good options~~, ~~although the semiquartal layout does not cover the whole gamut unless expanded~~ from the [[~~4L 1s]] to [[5L 4s]]. Additionally, the [[5L 4s~~]] ~~MOS has a very hard step ratio of 8~~:~~1, making it very lopsided.~~		Another option is to slice the perfect fifth in half, giving this mapping, which is derived from the [[Lumatone mapping for neutral thirds scales]]:
	{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}

			== Semiquartal ==
			Slicing the perfect fourth in half also works, but the [[4L 1s]] mapping does not cover the whole gamut:
	{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}


			Expanding this to the [[5L 4s]] mapping solves this problem, but the scale has an 8:1 step ratio, making it very lopsided.
	{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}		{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}

			== Hemifourths ==
	However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.		However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.

	{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}		{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}

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

ArrowHead294 at 18:25, 14 March 2025

2025-03-14T18:25:18Z

← Older revision		Revision as of 18:25, 14 March 2025
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	Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal ~~one~~ does not cover the whole gamut unless expanded from the [[4L 1s]] ~~mapping~~ to ~~the~~ [[5L 4s]] ~~one~~. Additionally, the [[5L 4s]] MOS has an 8:1 ~~step ratio~~, making it very lopsided.		Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal layout does not cover the whole gamut unless expanded from the [[4L 1s]] to [[5L 4s]]. Additionally, the [[5L 4s]] MOS has a very hard step ratio of 8:1, making it very lopsided.
	{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}

ArrowHead294 at 18:24, 14 March 2025

2025-03-14T18:24:38Z

← Older revision		Revision as of 18:24, 14 March 2025
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	~~There are many conceivable ways to map [[44edo]] 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 the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].		{{Lumatone mapping intro}} You can use the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
	{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}

ArrowHead294 at 16:17, 14 March 2025

2025-03-14T16:17:19Z

← Older revision		Revision as of 16:17, 14 March 2025
Line 5:		Line 5:
	Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one. Additionally, the [[5L 4s]] MOS has an 8:1 step ratio, making it very lopsided.		Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one. Additionally, the [[5L 4s]] MOS has an 8:1 step ratio, making it very lopsided.
	{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}


	{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}


	{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}		{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}


	However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.		However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.

	{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}		{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}

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

ArrowHead294 at 12:49, 10 March 2025

2025-03-10T12:49:12Z

← Older revision		Revision as of 12:49, 10 March 2025
Line 1:		Line 1:
	There are many conceivable ways to map [[44edo]] 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 the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].		There are many conceivable ways to map [[44edo]] 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 the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
	{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}


	Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one.		Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one. Additionally, the [[5L 4s]] MOS has an 8:1 step ratio, making it very lopsided.
	{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}

ArrowHead294 at 16:54, 11 February 2025

2025-02-11T16:54:59Z

← Older revision		Revision as of 16:54, 11 February 2025
Line 1:		Line 1:
	There are many conceivable ways to map [[44edo]] 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 the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].		There are many conceivable ways to map [[44edo]] 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 the b val, which can be interpreted as either near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
	{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}


	Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one.		Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one.
Line 6:		Line 7:

	{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}

	{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}		{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}


	However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.		However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.
	{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}		{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}

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

BudjarnLambeth at 01:31, 17 November 2024

2024-11-17T01:31:25Z

← Older revision		Revision as of 01:31, 17 November 2024
Line 11:		Line 11:
	{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}		{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}

	~~[[Category:~~Lumatone ~~mappings]] [[Category:44edo]]~~		{{Lumatone mapping navigation}}

Yourmusic Productions: Expansion.

2023-06-27T22:16:30Z

Expansion.

← Older revision		Revision as of 22:16, 27 June 2023
Line 2:		Line 2:
	{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}

	Slicing the perfect 5th or 4th in half are also good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one.		Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one.
	{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}

	{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}
	{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}		{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}

			However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.
			{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}

	[[Category:Lumatone mappings]] [[Category:44edo]]		[[Category:Lumatone mappings]] [[Category:44edo]]

← Older revision		Revision as of 16:17, 14 March 2025
Line 5:		Line 5:
	Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one. Additionally, the [[5L 4s]] MOS has an 8:1 step ratio, making it very lopsided.		Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one. Additionally, the [[5L 4s]] MOS has an 8:1 step ratio, making it very lopsided.
	{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}


	{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}


	{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}		{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}


	However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.		However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.

	{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}		{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}

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

← Older revision		Revision as of 22:16, 27 June 2023
Line 2:		Line 2:
	{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}		{{Lumatone EDO mapping\|n=44\|start=28\|xstep=6\|ystep=1}}

	Slicing the perfect 5th or 4th in half are also good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one.		Slicing the perfect 5th or 4th in half are also fairly good options, although the semiquartal one does not cover the whole gamut unless expanded from the [[4L 1s]] mapping to the [[5L 4s]] one.
	{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=44\|start=33\|xstep=5\|ystep=3}}

	{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}		{{Lumatone EDO mapping\|n=44\|start=23\|xstep=9\|ystep=-1}}
	{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}		{{Lumatone EDO mapping\|n=44\|start=0\|xstep=8\|ystep=-7}}

			However, it is the [[Diaschismic_family#Hemifourths\|Hemifourths]] mapping that combines the widest range that covers the full gamut with the most efficient way of reaching all prime harmonics up to 17.
			{{Lumatone EDO mapping\|n=44\|start=1\|xstep=9\|ystep=-5}}

	[[Category:Lumatone mappings]] [[Category:44edo]]		[[Category:Lumatone mappings]] [[Category:44edo]]