Lumatone mapping for 56edo - Revision history

Lucius Chiaraviglio: /* Diatonic */ Add demo video

2026-02-03T09:04:36Z

Diatonic: Add demo video

← Older revision		Revision as of 09:04, 3 February 2026
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	== Diatonic ==		== Diatonic ==
	This is the highest EDO in which the standard Bosanquet–Wilson mapping gives you access to all notes in the gamut in each octave, except where chopped off at the left and right edges (note 1 in the lowest octave, and notes 48, 50, 52, and 55 in the highest octave). Each note appears exactly only once with no skips or repetitions.		This is the highest EDO in which the standard Bosanquet–Wilson mapping gives you access to all notes in the gamut in each octave, except where chopped off at the left and right edges (note 1 in the lowest octave, and notes 48, 50, 52, and 55 in the highest octave). Each note appears exactly only once with no skips (except as noted above) or repetitions. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/M1HitTFYVu0 ''Parade - Susumu Hirasawa (microtonal cover in 56edo)''] (2026).
	{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}

Lucius Chiaraviglio: Add Bryan Deister's Bidia Lumatone mapping for 56edo

2025-08-21T09:58:55Z

Add Bryan Deister's Bidia Lumatone mapping for 56edo

← Older revision		Revision as of 09:58, 21 August 2025
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	The [[2L 8s]] mapping for [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.		The [[2L 8s]] mapping for [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.
	{{Lumatone EDO mapping\|n=56\|start=23\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=56\|start=23\|xstep=5\|ystep=3}}

			== Bidia (+ Diminished + Charismic + Semitonismic) ==
			[[Bryan Deister]] has demonstrated a [[4L 4s]] (9:5 step ratio) mapping for [[56edo]], in [https://www.youtube.com/watch?v=xkfao6yGKGE ''Curious Light - DOORS (microtonal cover in 56edo)''] (2025). Right + down-right divides the octave into slices of 14\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 5\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]], 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]]; three of them (passing the quarter-octave) make a mildly sharp classic minor third ~[[6/5]], although the afore-mentioned quarter-octave (12edo-style) minor third is easier to reach; in contrast, the near-just classic major third ~[[5/4]] is very easy to reach with just two moves rightwards, and a down-right move from this reaches the moderately flat fourth ~[[4/3]]; two more down-right moves reaches the rather sharp fifth ~[[3/2]]. The efficiency is almost as good as that of the diatonic mapping, with no missed notes and one repeated note per octave; the overall range is somewhat under five octaves, with no notes chopped off by the left and right edges before reaching the end of overall range. The cost of this is that octaves slant downwards.
			{{Lumatone EDO mapping\|n=56\|start=0\|xstep=9\|ystep=-4}}

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

Lucius Chiaraviglio: /* Diatonic */ Missed notes in the lowest and highest octaves

2025-07-04T19:36:35Z

Diatonic: Missed notes in the lowest and highest octaves

← Older revision		Revision as of 19:36, 4 July 2025
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	== Diatonic ==		== Diatonic ==
	This is the highest EDO in which the standard Bosanquet–Wilson mapping gives you access to all notes in the gamut in ~~every~~ octave ~~covered~~. Each note appears exactly only once with no skips or repetitions.		This is the highest EDO in which the standard Bosanquet–Wilson mapping gives you access to all notes in the gamut in each octave, except where chopped off at the left and right edges (note 1 in the lowest octave, and notes 48, 50, 52, and 55 in the highest octave). Each note appears exactly only once with no skips or repetitions.
	{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}

ArrowHead294 at 04:28, 3 April 2025

2025-04-03T04:28:21Z

← Older revision		Revision as of 04:28, 3 April 2025
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	{{Lumatone mapping intro}} ~~This is the highest EDO in which this mapping gives you access to all notes in the gamut in every octave covered, each note appearing only once with no skips or repetitions.~~		{{Lumatone mapping intro}}

	== Diatonic ==		== Diatonic ==
			This is the highest EDO in which the standard Bosanquet–Wilson mapping gives you access to all notes in the gamut in every octave covered. Each note appears exactly only once with no skips or repetitions.
	{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}

ArrowHead294 at 15:24, 23 March 2025

2025-03-23T15:24:27Z

← Older revision		Revision as of 15:24, 23 March 2025
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	{{Lumatone mapping intro}} This is the highest EDO in which this mapping gives you access to all notes in the gamut in every octave covered, each note appearing only once with no skips or repetitions.		{{Lumatone mapping intro}} This is the highest EDO in which this mapping gives you access to all notes in the gamut in every octave covered, each note appearing only once with no skips or repetitions.

			== Diatonic ==
	{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}

			== Pajara ==
	The [[2L 8s~~\|decatonic~~]] [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.		The [[2L 8s]] mapping for [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.
	{{Lumatone EDO mapping\|n=56\|start=23\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=56\|start=23\|xstep=5\|ystep=3}}

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

ArrowHead294 at 18:08, 14 March 2025

2025-03-14T18:08:18Z

← Older revision		Revision as of 18:08, 14 March 2025
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	~~There are many conceivable ways to map [[56edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard~~ Lumatone mapping ~~for Pythagorean]].~~ This is the highest EDO in which this mapping gives you access to all notes in the gamut in every octave covered, each note appearing only once with no skips or repetitions.		{{Lumatone mapping intro}} This is the highest EDO in which this mapping gives you access to all notes in the gamut in every octave covered, each note appearing only once with no skips or repetitions.
	{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}


	The [[2L 8s\|decatonic]] [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.		The [[2L 8s\|decatonic]] [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.

ArrowHead294 at 16:52, 11 February 2025

2025-02-11T16:52:21Z

← Older revision		Revision as of 16:52, 11 February 2025
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	{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}		{{Lumatone EDO mapping\|n=56\|start=8\|xstep=10\|ystep=-7}}

	The [[~~2L_8s~~\|decatonic]] [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.		The [[2L 8s\|decatonic]] [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.
	{{Lumatone EDO mapping\|n=56\|start=23\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=56\|start=23\|xstep=5\|ystep=3}}

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

BudjarnLambeth at 01:34, 17 November 2024

2024-11-17T01:34:30Z

← Older revision		Revision as of 01:34, 17 November 2024
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	{{Lumatone EDO mapping\|n=56\|start=23\|xstep=5\|ystep=3}}		{{Lumatone EDO mapping\|n=56\|start=23\|xstep=5\|ystep=3}}

	~~[[Category:~~Lumatone ~~mappings]] [[Category:56edo]]~~		{{Lumatone mapping navigation}}

Yourmusic Productions: Create Page.

2023-03-23T14:17:11Z

Create Page.

New page

There are many conceivable ways to map [[56edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]]. This is the highest EDO in which this mapping gives you access to all notes in the gamut in every octave covered, each note appearing only once with no skips or repetitions.
{{Lumatone EDO mapping|n=56|start=8|xstep=10|ystep=-7}}

The [[2L_8s|decatonic]] [[Pajara]] mapping has a smaller range and some repeated notes, but makes 5-limit chords easier to play.
{{Lumatone EDO mapping|n=56|start=23|xstep=5|ystep=3}}

[[Category:Lumatone mappings]] [[Category:56edo]]