1059edo - Revision history

ArrowHead294 at 23:08, 20 February 2025

2025-02-20T23:08:14Z

← Older revision		Revision as of 23:08, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1059~~}}		{{ED intro}}

	1059edo is in[[consistent]] to the [[5-odd-limit]] and [[3/1\|harmonic 3]] is about halfway between its steps, lending itself to a 2.9.5.7.13 [[subgroup]] interpretation.		1059edo is in[[consistent]] to the [[5-odd-limit]] and [[3/1\|harmonic 3]] is about halfway between its steps, lending itself to a 2.9.5.7.13 [[subgroup]] interpretation.

FloraC: Adopt template: Factorization; misc. cleanup

2023-10-31T10:53:56Z

Adopt template: Factorization; misc. cleanup

← Older revision		Revision as of 10:53, 31 October 2023
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	{{EDO intro\|1059}}		{{EDO intro\|1059}}

	1059edo is in[[consistent]] to the [[5-odd-limit]] and [[3/1\|harmonic 3]] is about halfway between its steps, lending itself to a 2.9.5.7 [[subgroup]] interpretation.		1059edo is in[[consistent]] to the [[5-odd-limit]] and [[3/1\|harmonic 3]] is about halfway between its steps, lending itself to a 2.9.5.7.13 [[subgroup]] interpretation.

	103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of [[46/43]]. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.		103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of [[46/43]]. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	[[2118edo]], which divides the edostep in two, provides a good correction for 3rd and 11th harmonics.		Since 1059 factors into {{factorization\|1059}}, 1059edo contains [[3edo]] and [[353edo]] as subsets. [[2118edo]], which divides the edostep in two, provides a good correction for 3rd and 11th harmonics.

FloraC: Rework

2023-10-19T15:29:27Z

Rework

← Older revision		Revision as of 15:29, 19 October 2023
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	{{EDO intro\|1059}}		{{EDO intro\|1059}}

	== ~~Theory~~ ==		1059edo is in[[consistent]] to the [[5-odd-limit]] and [[3/1\|harmonic 3]] is about halfway between its steps, lending itself to a 2.9.5.7 [[subgroup]] interpretation.

			103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of [[46/43]]. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.

			=== Odd harmonics ===
	{{Harmonics in equal\|1059}}		{{Harmonics in equal\|1059}}
	103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of 46/43. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.

			=== Subsets and supersets ===
	[[2118edo]], which divides the edostep in two, provides a good correction for 3rd and 11th harmonics.		[[2118edo]], which divides the edostep in two, provides a good correction for 3rd and 11th harmonics.

BudjarnLambeth at 06:49, 9 July 2023

2023-07-09T06:49:43Z

← Older revision		Revision as of 06:49, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1059}}		{{EDO intro\|1059}}

BudjarnLambeth at 05:22, 9 July 2023

2023-07-09T05:22:42Z

← Older revision		Revision as of 05:22, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|1059}}		{{EDO intro\|1059}}

Eliora at 00:25, 15 February 2023

2023-02-15T00:25:21Z

← Older revision		Revision as of 00:25, 15 February 2023
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			{{Infobox ET}}
	{{EDO intro\|1059}}		{{EDO intro\|1059}}

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	{{Harmonics in equal\|1059}}		{{Harmonics in equal\|1059}}
	103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of 46/43. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.		103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of 46/43. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.

			[[2118edo]], which divides the edostep in two, provides a good correction for 3rd and 11th harmonics.

Eliora: oops

2022-09-04T22:23:29Z

oops

← Older revision		Revision as of 22:23, 4 September 2022
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	{{Harmonics in equal\|1059}}		{{Harmonics in equal\|1059}}
	103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of 46/43. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.		103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of 46/43. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.

	~~16401231/16384000,,~~

Eliora: Created page with "{{EDO intro|1059}} == Theory == {{Harmonics in equal|1059}} 103 steps of 1059edo represent a continued fraction approximation for the secor generator interval in the form..."

2022-09-04T22:23:10Z

Created page with "{{EDO intro|1059}} == Theory == {{Harmonics in equal|1059}} 103 steps of 1059edo represent a continued fraction approximation for the secor generator interval in the form..."

New page

{{EDO intro|1059}}

== Theory ==
{{Harmonics in equal|1059}}
103 steps of 1059edo represent a continued fraction approximation for the [[secor]] generator interval in the form of 46/43. In the 2.3.5.7.11.23.43 subgroup this results in a 329 & 1059 temperament. The comma basis for such (assuming both patent vals) is 1376/1375, 2646/2645, 172032/171875, 16401231/16384000, 51759729/51536320.

16401231/16384000,,