1230edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-20T17:12:00Z

changed EDO intro to ED intro

← Older revision		Revision as of 17:12, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1230~~}}		{{ED intro}}

	1230edo is [[consistent]] to the [[5-odd-limit]], but [[harmonic]] [[3/1\|3]] is about halfway between its steps. As every other step of [[2460edo]], it is excellent in approximating harmonics [[5/1\|5]], [[7/1\|7]], [[9/1\|9]], [[11/1\|11]], [[19/1\|19]], and [[23/1\|23]], making it suitable for a 2.9.5.7.11.19.23 [[subgroup]] interpretation, on which it is identical to 2460edo.		1230edo is [[consistent]] to the [[5-odd-limit]], but [[harmonic]] [[3/1\|3]] is about halfway between its steps. As every other step of [[2460edo]], it is excellent in approximating harmonics [[5/1\|5]], [[7/1\|7]], [[9/1\|9]], [[11/1\|11]], [[19/1\|19]], and [[23/1\|23]], making it suitable for a 2.9.5.7.11.19.23 [[subgroup]] interpretation, on which it is identical to 2460edo.

FloraC: Rework theory; +subsets and supersets

2023-10-31T10:00:37Z

Rework theory; +subsets and supersets

← Older revision		Revision as of 10:00, 31 October 2023
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	{{EDO intro\|1230}}		{{EDO intro\|1230}}

	~~A reasonable subgroup for~~ 1230edo is 2.9.5.7.11.19, on which it ~~can be seen as every other step of [[~~2460edo]].		1230edo is [[consistent]] to the [[5-odd-limit]], but [[harmonic]] [[3/1\|3]] is about halfway between its steps. As every other step of [[2460edo]], it is excellent in approximating harmonics [[5/1\|5]], [[7/1\|7]], [[9/1\|9]], [[11/1\|11]], [[19/1\|19]], and [[23/1\|23]], making it suitable for a 2.9.5.7.11.19.23 [[subgroup]] interpretation, on which it is identical to 2460edo.

	=== Odd harmonics ===		=== Odd harmonics ===
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	=== Miscellaneous properties ===		=== Miscellaneous properties ===
	1230edo could be called a "highly Kartvelian edo" because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].		1230edo could be called a "highly Kartvelian edo" because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].

			=== Subsets and supersets ===
			Since 1230 factors into {{factorization\|1230}}, 1230edo has subset edos {{EDOs\| 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, and 615 }}. A step of 1230edo is exactly 2 [[mina]]s (2\2460).

FloraC: Section title; -redundant categories

2023-10-17T12:57:12Z

Section title; -redundant categories

← Older revision		Revision as of 12:57, 17 October 2023
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	{{EDO intro\|1230}}		{{EDO intro\|1230}}

	~~== Theory ==~~
	A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].		A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].

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	=== Miscellaneous properties ===		=== Miscellaneous properties ===
	1230edo could be called a "highly Kartvelian edo" because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].		1230edo could be called a "highly Kartvelian edo" because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].

	~~[[Category:Equal divisions of the octave\|####]]~~

BudjarnLambeth at 06:51, 9 July 2023

2023-07-09T06:51:48Z

← Older revision		Revision as of 06:51, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1230}}		{{EDO intro\|1230}}

BudjarnLambeth at 05:17, 9 July 2023

2023-07-09T05:17:05Z

← Older revision		Revision as of 05:17, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|1230}}		{{EDO intro\|1230}}

CellularAutomaton: tiny grammar fix

2022-11-09T02:21:51Z

tiny grammar fix

← Older revision		Revision as of 02:21, 9 November 2022
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	=== Miscellaneous properties ===		=== Miscellaneous properties ===
	1230edo could be called a "highly Kartvelian edo", because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].		1230edo could be called a "highly Kartvelian edo" because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].

	[[Category:Equal divisions of the octave\|####]]		[[Category:Equal divisions of the octave\|####]]

Fredg999: "Highly Kartvelian edo" isn't defined anywhere; I rearranged the sentence to make it more obvious to the reader that the term is used informally here.

2022-11-08T20:35:41Z

"Highly Kartvelian edo" isn't defined anywhere; I rearranged the sentence to make it more obvious to the reader that the term is used informally here.

← Older revision		Revision as of 20:35, 8 November 2022
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	=== Miscellaneous properties ===		=== Miscellaneous properties ===
	1230edo ~~is what is known as~~ "highly Kartvelian edo", ~~where~~ it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].		1230edo could be called a "highly Kartvelian edo", because it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].

	[[Category:Equal divisions of the octave\|####]]		[[Category:Equal divisions of the octave\|####]]

FloraC: Undo revision 98675 by Eliora (talk). There's no "cultural practice"

2022-10-29T15:23:55Z

Undo revision 98675 by Eliora (talk). There's no "cultural practice"

← Older revision		Revision as of 15:23, 29 October 2022
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	== Theory ==		== Theory ==
	A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].		A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].

	~~=== Possible usage in Georgian music ===~~
	1230edo can be described as a "highly Kartvelian edo", where it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1230}}		{{Harmonics in equal\|1230}}

			=== Miscellaneous properties ===
			1230edo is what is known as "highly Kartvelian edo", where it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].

	[[Category:Equal divisions of the octave\|####]]		[[Category:Equal divisions of the octave\|####]]

Eliora: It's a bit insensitive to describe cultural practices as "miscellaneous properties"

2022-10-29T11:29:57Z

It's a bit insensitive to describe cultural practices as "miscellaneous properties"

← Older revision		Revision as of 11:29, 29 October 2022
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	== Theory ==		== Theory ==
	A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].		A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].

			=== Possible usage in Georgian music ===
			1230edo can be described as a "highly Kartvelian edo", where it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1230}}		{{Harmonics in equal\|1230}}

	~~=== Miscellaneous properties ===~~
	~~1230edo is what is known as "highly Kartvelian edo", where it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].~~

	[[Category:Equal divisions of the octave\|####]]		[[Category:Equal divisions of the octave\|####]]

FloraC: General cleanup

2022-10-26T04:43:56Z

General cleanup

← Older revision		Revision as of 04:43, 26 October 2022
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|1230}}		{{EDO intro\|1230}}
	~~==Theory==~~
	~~1230edo is what is known as "highly Kartvelian EDO", where it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].~~

	~~The best~~ subgroup for 1230edo is 2.9.5.7.11~~.15~~.19, on which it can be seen as every other step of [[2460edo]].		== Theory ==
	===~~Harmonics~~===		A reasonable subgroup for 1230edo is 2.9.5.7.11.19, on which it can be seen as every other step of [[2460edo]].
	{{~~harmonics~~ in equal\|1230}}
			=== Odd harmonics ===
			{{Harmonics in equal\|1230}}

			=== Miscellaneous properties ===
			1230edo is what is known as "highly Kartvelian edo", where it supports the largest number of scales dividing its patent val 4/3 and 3/2 into even parts relative to its size. See [[Kartvelian scales]].

	[[Category:Equal divisions of the octave\|####]]		[[Category:Equal divisions of the octave\|####]]