Lumatone mapping for 96edo - Revision history

Yourmusic Productions: Fix changed link.

2025-09-13T21:01:18Z

Fix changed link.

← Older revision		Revision as of 21:01, 13 September 2025
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	== Interpental ==		== Interpental ==
	The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.		The [[Buzzardsmic_clan#Interpental\|Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.
	{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}

Lucius Chiaraviglio: Add Bryan Deister's 96edo Lumatone mapping

2025-05-26T06:34:07Z

Add Bryan Deister's 96edo Lumatone mapping

← Older revision		Revision as of 06:34, 26 May 2025
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	The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.		The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.
	{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}

			== Compton-related rank 3 temperament ==
			[[Bryan Deister]] has demonstrated a mapping for [[96edo]] in which the rightward generator is 8\96 (~[[18/17]]) as in [[12edo]], while the upward generator is 7\96 (~[[20/19]]), in [https://www.youtube.com/shorts/8xqjUkuZFaI ''microtonal improvisation in 96edo''] (2025). The range is just over two octaves, with octaves sloping away and then wrapping around; on the other hand, it is easy to play eight 12edo subsets of 96edo that are displaced slightly from each other, as if one had eight pianos (even if of rather short compass) somehow all in reach at once. (Here, note 0 is in the middle of the left edge instead of Bryan Deister's usual lower left corner, to avoid skipping some of the bottom notes in the lowest note 0 to note 0 octave.) Although not shown in the video, this mapping also enables easy glissandos diagonally up-left or down-right.

			{{Lumatone EDO mapping\|n=96\|start=12\|xstep=8\|ystep=-7}}

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

ArrowHead294 at 15:34, 23 March 2025

2025-03-23T15:34:52Z

← Older revision		Revision as of 15:34, 23 March 2025
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	{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was~~. The second best fifth is shared with [[32edo]], so that doesn't work either, making the 55/96 flat fifth the first one that produces a regular, albeit near equalised diatonic scale~~.		{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was.

			== Diatonic ==
			The second best fifth is shared with [[32edo]], so that doesn't work either, making the 55/96 flat fifth the first one that produces a regular, albeit near equalised diatonic scale.
	{{Lumatone EDO mapping\|n=96\|start=72\|xstep=14\|ystep=-1}}		{{Lumatone EDO mapping\|n=96\|start=72\|xstep=14\|ystep=-1}}

			== Würschmidt ==
	Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis.		Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis.
	{{Lumatone EDO mapping\|n=96\|start=14\|xstep=3\|ystep=19}}		{{Lumatone EDO mapping\|n=96\|start=14\|xstep=3\|ystep=19}}

			== Interpental ==
	The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.		The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.
	{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}

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

ArrowHead294 at 18:41, 14 March 2025

2025-03-14T18:41:28Z

← Older revision		Revision as of 18:41, 14 March 2025
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	~~There are many conceivable ways to map [[96edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of [[12edo]] 5ths, the [[Standard~~ Lumatone mapping ~~for Pythagorean]] is not one of them, and due~~ to ~~the edos~~ size, would not cover the whole gamut even if it was. The second best ~~5th~~ is shared with [[32edo]], so that doesn't work either, making the 55/96 flat ~~5th~~ the first one that produces a regular, albeit near equalised diatonic scale.		{{Lumatone mapping intro}} Due to its size, it would not cover the whole gamut even if it was. The second best fifth is shared with [[32edo]], so that doesn't work either, making the 55/96 flat fifth the first one that produces a regular, albeit near equalised diatonic scale.

	{{Lumatone EDO mapping\|n=96\|start=72\|xstep=14\|ystep=-1}}		{{Lumatone EDO mapping\|n=96\|start=72\|xstep=14\|ystep=-1}}


	Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis.		Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis.

	{{Lumatone EDO mapping\|n=96\|start=14\|xstep=3\|ystep=19}}		{{Lumatone EDO mapping\|n=96\|start=14\|xstep=3\|ystep=19}}


	The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.		The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.

	{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}

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

ArrowHead294 at 16:59, 11 February 2025

2025-02-11T16:59:02Z

← Older revision		Revision as of 16:59, 11 February 2025
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	{{Lumatone EDO mapping\|n=96\|start=72\|xstep=14\|ystep=-1}}		{{Lumatone EDO mapping\|n=96\|start=72\|xstep=14\|ystep=-1}}


	Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis.		Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis.

	{{Lumatone EDO mapping\|n=96\|start=14\|xstep=3\|ystep=19}}		{{Lumatone EDO mapping\|n=96\|start=14\|xstep=3\|ystep=19}}


	The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.		The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.
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	{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}

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

Yourmusic Productions: forgot a word.

2025-02-07T19:53:29Z

forgot a word.

← Older revision		Revision as of 19:53, 7 February 2025
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	{{Lumatone EDO mapping\|n=96\|start=14\|xstep=3\|ystep=19}}		{{Lumatone EDO mapping\|n=96\|start=14\|xstep=3\|ystep=19}}

	The [[Interpental]] is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.		The [[Interpental]] mapping is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.

	{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}		{{Lumatone EDO mapping\|n=96\|start=10\|xstep=9\|ystep=-7}}

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

Yourmusic Productions: Create Page.

2025-02-07T13:08:43Z

Create Page.

New page

There are many conceivable ways to map [[96edo]] onto the [[Lumatone]] keyboard. Unfortunately, as it has multiple rings of [[12edo]] 5ths, the [[Standard Lumatone mapping for Pythagorean]] is not one of them, and due to the edos size, would not cover the whole gamut even if it was. The second best 5th is shared with [[32edo]], so that doesn't work either, making the 55/96 flat 5th the first one that produces a regular, albeit near equalised diatonic scale.

{{Lumatone EDO mapping|n=96|start=72|xstep=14|ystep=-1}}

Instead, the most efficient layout that allows access to all notes is the [[3L 10s]] [[Würschmidt]] mapping, although this does reduce the range to a little under three octaves and many notes are inaccessible at the edges due to the diesis being on the up-right axis.

{{Lumatone EDO mapping|n=96|start=14|xstep=3|ystep=19}}

The [[Interpental]] is not quite as efficient at accessing the 5-limit, but is easier to navigate overall.

{{Lumatone EDO mapping|n=96|start=10|xstep=9|ystep=-7}}

{{Lumatone mapping navigation}}