111th-octave temperaments - Revision history

ArrowHead294 at 03:46, 14 February 2025

2025-02-14T03:46:09Z

← Older revision		Revision as of 03:46, 14 February 2025
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	{{~~Fractional~~-octave ~~navigation~~\|111}}		{{Infobox fractional-octave\|111}}
	{{todo\|intro}}		{{todo\|intro}}
	==Roentgenium==
			== Roentgenium ==
	Roentgenium is the [[Fractional-octave temperaments\|fractional-octave temperament]] defined as 4884 & 8103 in the [[19-limit]] and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to [[37edo]] in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by [[Eliora]].		Roentgenium is the [[Fractional-octave temperaments\|fractional-octave temperament]] defined as 4884 & 8103 in the [[19-limit]] and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to [[37edo]] in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by [[Eliora]].

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	[[Optimal tuning]] (CTE): ~3/2 = 701.964		[[Optimal tuning]] (CTE): ~3/2 = 701.964
	====19-limit====
			==== 19-limit ====
	Subgroup: 2.3.5.7.11.13.17.19		Subgroup: 2.3.5.7.11.13.17.19

BudjarnLambeth at 07:45, 5 December 2024

2024-12-05T07:45:46Z

← Older revision		Revision as of 07:45, 5 December 2024
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	{{Navbox fractional-octave}}		{{Navbox fractional-octave}}

	~~[[Category:Temperament collections]]~~

BudjarnLambeth: navbox

2024-12-05T07:43:25Z

navbox

← Older revision		Revision as of 07:43, 5 December 2024
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	{{Fractional-octave navigation\|111}}		{{Fractional-octave navigation\|111}}
			{{todo\|intro}}
	==Roentgenium==		==Roentgenium==
	Roentgenium is the [[Fractional-octave temperaments\|fractional-octave temperament]] defined as 4884 & 8103 in the [[19-limit]] and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to [[37edo]] in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by [[Eliora]].		Roentgenium is the [[Fractional-octave temperaments\|fractional-octave temperament]] defined as 4884 & 8103 in the [[19-limit]] and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to [[37edo]] in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by [[Eliora]].
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	{{Optimal ET sequence\|legend=1\|3219c, 4884, 8103, 12987}}, ...		{{Optimal ET sequence\|legend=1\|3219c, 4884, 8103, 12987}}, ...

			{{Navbox fractional-octave}}

	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:111edo]]~~

Mousemambo: links & clarity

2023-09-08T08:06:08Z

links & clarity

← Older revision		Revision as of 08:06, 8 September 2023
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	{{Fractional-octave navigation\|111}}		{{Fractional-octave navigation\|111}}
	==Roentgenium==		==Roentgenium==
	Roentgenium is defined as 4884 & 8103 in the 19-limit and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to 37edo in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by Eliora.		Roentgenium is the [[Fractional-octave temperaments\|fractional-octave temperament]] defined as 4884 & 8103 in the [[19-limit]] and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to [[37edo]] in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by [[Eliora]].

	Subgroup: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

	Comma list: {{monzo\|-25 -12 -3 12 5}}, {{monzo\|-27 27 0 3 -7}}, {{monzo\|26 -8 -2 8 -9}}		[[Comma list]]: {{monzo\|-25 -12 -3 12 5}}, {{monzo\|-27 27 0 3 -7}}, {{monzo\|26 -8 -2 8 -9}}

	Mapping: [{{val\|111 111 2855 896 384}}, {{val\|0 1 -40 -9 0}}]		[[Mapping]]: [{{val\|111 111 2855 896 384}}, {{val\|0 1 -40 -9 0}}]

	Optimal tuning (CTE): ~3/2 = 701.964		[[Optimal tuning]] (CTE): ~3/2 = 701.964
	====19-limit====		====19-limit====
	Subgroup: 2.3.5.7.11.13.17.19		Subgroup: 2.3.5.7.11.13.17.19

Eliora at 13:43, 2 August 2023

2023-08-02T13:43:40Z

← Older revision		Revision as of 13:43, 2 August 2023
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			{{Fractional-octave navigation\|111}}
	~~==111th~~-octave ~~temperaments==~~		==Roentgenium==
	===Roentgenium===
	Roentgenium is defined as 4884 & 8103 in the 19-limit and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to 37edo in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by Eliora.		Roentgenium is defined as 4884 & 8103 in the 19-limit and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to 37edo in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by Eliora.

BudjarnLambeth: Categorised this uncategorised page

2023-06-16T12:02:58Z

Categorised this uncategorised page

← Older revision		Revision as of 12:02, 16 June 2023
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	{{Optimal ET sequence\|legend=1\|3219c, 4884, 8103, 12987}}, ...		{{Optimal ET sequence\|legend=1\|3219c, 4884, 8103, 12987}}, ...
			[[Category:Temperament collections]]
			[[Category:111edo]]

Eliora: and finally 111th.

2023-06-15T13:53:54Z

and finally 111th.

New page

==111th-octave temperaments==
===Roentgenium===
Roentgenium is defined as 4884 & 8103 in the 19-limit and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to 37edo in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by Eliora.

Subgroup: 2.3.5.7.11

Comma list: {{monzo|-25 -12 -3 12 5}}, {{monzo|-27 27 0 3 -7}}, {{monzo|26 -8 -2 8 -9}}

Mapping: [{{val|111 111 2855 896 384}}, {{val|0 1 -40 -9 0}}]

Optimal tuning (CTE): ~3/2 = 701.964
====19-limit====
Subgroup: 2.3.5.7.11.13.17.19

Comma list: 31213/31212, 486400/486387, 633556/633555, 653429/653400, 1037232/1037153, 9714446/9713275, 24764600/24762387

Mapping: [{{val|111 111 2855 896 384 410 452 472}}, {{val|0 1 -40 -9 0 -11 -25 7}}]

Optimal tuning (CTE): ~3/2 = 701.9...

{{Optimal ET sequence|legend=1|3219c, 4884, 8103, 12987}}, ...