Lumatone mapping for 54edo - Revision history

ArrowHead294 at 13:05, 14 May 2025

2025-05-14T13:05:48Z

← Older revision		Revision as of 13:05, 14 May 2025
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	== Nessafof (Porwell) ==		== Nessafof (Porwell) ==
	[[Bryan Deister]] has used the [[Porwell temperaments#Nessafof\|Nessafof (Porwell)]] layout for [[54edo]], as demonstrated in [https://www.youtube.com/shorts/Bi5-YQUQHek ''microtonal improvisation in 54edo''] (2025). At 7\54, the generator is a near-just septimal neutral second (~[[35/32]]), of which 2 make a slightly flat minor third ~[[6/5]] (constituted in 54b), and 11 make a sharp ~[[8/3]] (which corresponds to the 54b flat fifth). The [[7L 1s]] scale (with a step ratio of 7:5) is expanded similar to the expanded [[Lumatone mapping for porcupine]] if represented as 7L 1s, but even more expanded. On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with [[12edo]], although this requires constituting the ~[[9/8]] whole steps as (3♭~~ ~~×~~ ~~3♯)~~ ~~/~~ ~~8. The range is four full octaves.		[[Bryan Deister]] has used the [[Porwell temperaments#Nessafof\|Nessafof (Porwell)]] layout for [[54edo]], as demonstrated in [https://www.youtube.com/shorts/Bi5-YQUQHek ''microtonal improvisation in 54edo''] (2025). At 7\54, the generator is a near-just septimal neutral second (~[[35/32]]), of which 2 make a slightly flat minor third ~[[6/5]] (constituted in 54b), and 11 make a sharp ~[[8/3]] (which corresponds to the 54b flat fifth). The [[7L 1s]] scale (with a step ratio of 7:5) is expanded similar to the expanded [[Lumatone mapping for porcupine]] if represented as 7L 1s, but even more expanded. On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with [[12edo]], although this requires constituting the ~[[9/8]] whole steps as {{nowrap\|(3♭ × 3♯) / 8}}. The range is four full octaves.

	{{Lumatone EDO mapping\|n=54\|start=10\|xstep=7\|ystep=2}}		{{Lumatone EDO mapping\|n=54\|start=10\|xstep=7\|ystep=2}}

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

Lucius Chiaraviglio: /* Nessafof (Porwell) */ Fix Porcupine vs Nessafof scale explanation (Porcupine 7L 1s is already like Nessafof 7L 1s, but the chroma is laid out differently in the standard Expanded mapping)

2025-05-12T05:32:03Z

Nessafof (Porwell): Fix Porcupine vs Nessafof scale explanation (Porcupine 7L 1s is already like Nessafof 7L 1s, but the chroma is laid out differently in the standard Expanded mapping)

← Older revision		Revision as of 05:32, 12 May 2025
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	== Nessafof (Porwell) ==		== Nessafof (Porwell) ==
	[[Bryan Deister]] has used the [[Porwell temperaments#Nessafof\|Nessafof (Porwell)]] layout for [[54edo]], as demonstrated in [https://www.youtube.com/shorts/Bi5-YQUQHek ''microtonal improvisation in 54edo''] (2025). At 7\54, the generator is a near-just septimal neutral second (~[[35/32]]), of which 2 make a slightly flat minor third ~[[6/5]] (constituted in 54b), and 11 make a sharp ~[[8/3]] (which corresponds to the 54b flat fifth). The [[7L 1s]] scale (with a step ratio of 7:5) is expanded similar to the expanded [[Lumatone mapping for porcupine]]~~, but with large and small step sizes reversed (meaning that [[8L~~ 1s~~]] is not supported — the small step size would be negative)~~. On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with [[12edo]], although this requires constituting the ~[[9/8]] whole steps as (3♭ × 3♯) / 8. The range is four full octaves.		[[Bryan Deister]] has used the [[Porwell temperaments#Nessafof\|Nessafof (Porwell)]] layout for [[54edo]], as demonstrated in [https://www.youtube.com/shorts/Bi5-YQUQHek ''microtonal improvisation in 54edo''] (2025). At 7\54, the generator is a near-just septimal neutral second (~[[35/32]]), of which 2 make a slightly flat minor third ~[[6/5]] (constituted in 54b), and 11 make a sharp ~[[8/3]] (which corresponds to the 54b flat fifth). The [[7L 1s]] scale (with a step ratio of 7:5) is expanded similar to the expanded [[Lumatone mapping for porcupine]] if represented as 7L 1s, but even more expanded. On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with [[12edo]], although this requires constituting the ~[[9/8]] whole steps as (3♭ × 3♯) / 8. The range is four full octaves.

	{{Lumatone EDO mapping\|n=54\|start=10\|xstep=7\|ystep=2}}		{{Lumatone EDO mapping\|n=54\|start=10\|xstep=7\|ystep=2}}

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

Lucius Chiaraviglio: Add Bryan Deister's Lumatone mapping for 54edo

2025-05-08T19:49:46Z

Add Bryan Deister's Lumatone mapping for 54edo

← Older revision		Revision as of 19:49, 8 May 2025
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	== Diaschismic ==		== Diaschismic ==
	Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.		Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.

	{{Lumatone EDO mapping\|n=54\|start=27\|xstep=5\|ystep=2}}		{{Lumatone EDO mapping\|n=54\|start=27\|xstep=5\|ystep=2}}

			== Nessafof (Porwell) ==
			[[Bryan Deister]] has used the [[Porwell temperaments#Nessafof\|Nessafof (Porwell)]] layout for [[54edo]], as demonstrated in [https://www.youtube.com/shorts/Bi5-YQUQHek ''microtonal improvisation in 54edo''] (2025). At 7\54, the generator is a near-just septimal neutral second (~[[35/32]]), of which 2 make a slightly flat minor third ~[[6/5]] (constituted in 54b), and 11 make a sharp ~[[8/3]] (which corresponds to the 54b flat fifth). The [[7L 1s]] scale (with a step ratio of 7:5) is expanded similar to the expanded [[Lumatone mapping for porcupine]], but with large and small step sizes reversed (meaning that [[8L 1s]] is not supported — the small step size would be negative). On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with [[12edo]], although this requires constituting the ~[[9/8]] whole steps as (3♭ × 3♯) / 8. The range is four full octaves.

			{{Lumatone EDO mapping\|n=54\|start=10\|xstep=7\|ystep=2}}

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

ArrowHead294 at 15:23, 23 March 2025

2025-03-23T15:23:41Z

← Older revision		Revision as of 15:23, 23 March 2025
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	{{Lumatone mapping intro}} You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.		{{Lumatone mapping intro}}

			== Diatonic ==
			You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.
	{{Lumatone EDO mapping\|n=54\|start=42\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=54\|start=42\|xstep=8\|ystep=-1}}

			== Diaschismic ==
	Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.		Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.
	{{Lumatone EDO mapping\|n=54\|start=27\|xstep=5\|ystep=2}}		{{Lumatone EDO mapping\|n=54\|start=27\|xstep=5\|ystep=2}}

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

ArrowHead294 at 18:31, 14 March 2025

2025-03-14T18:31:00Z

← Older revision		Revision as of 18:31, 14 March 2025
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	~~[[54edo]] is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo\|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard~~ Lumatone mapping ~~for Pythagorean]] only reaches [[27edo]] intervals.~~ You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.		{{Lumatone mapping intro}} You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.
	{{Lumatone EDO mapping\|n=54\|start=42\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=54\|start=42\|xstep=8\|ystep=-1}}

ArrowHead294 at 16:57, 11 February 2025

2025-02-11T16:57:14Z

← Older revision		Revision as of 16:57, 11 February 2025
Line 1:		Line 1:
	[[54edo]] is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo\|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] only reaches [[27edo]] intervals. You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.		[[54edo]] is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo\|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] only reaches [[27edo]] intervals. You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.
	{{Lumatone EDO mapping\|n=54\|start=42\|xstep=8\|ystep=-1}}		{{Lumatone EDO mapping\|n=54\|start=42\|xstep=8\|ystep=-1}}


	Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.		Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.
	{{Lumatone EDO mapping\|n=54\|start=27\|xstep=5\|ystep=2}}		{{Lumatone EDO mapping\|n=54\|start=27\|xstep=5\|ystep=2}}

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

BudjarnLambeth at 01:34, 17 November 2024

2024-11-17T01:34:05Z

← Older revision		Revision as of 01:34, 17 November 2024
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	{{Lumatone EDO mapping\|n=54\|start=27\|xstep=5\|ystep=2}}		{{Lumatone EDO mapping\|n=54\|start=27\|xstep=5\|ystep=2}}

			{{Lumatone mapping navigation}}
	~~[[Category:~~Lumatone ~~mappings]] [[Category:54edo]]~~

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2024-01-20T12:49:37Z

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[[54edo]] is an interesting case for [[Lumatone]] mappings, since ([[Lumatone mapping for 24edo|like 24edo]]), it is not generated by fifths and octaves, so the [[Standard Lumatone mapping for Pythagorean]] only reaches [[27edo]] intervals. You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.
{{Lumatone EDO mapping|n=54|start=42|xstep=8|ystep=-1}}

Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.
{{Lumatone EDO mapping|n=54|start=27|xstep=5|ystep=2}}

[[Category:Lumatone mappings]] [[Category:54edo]]