15601edo - Revision history

FloraC at 16:28, 28 July 2025

2025-07-28T16:28:33Z

← Older revision		Revision as of 16:28, 28 July 2025
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	{{Todo\|inline=1\|explain its xenharmonic value}}		{{Todo\|inline=1\|explain its xenharmonic value}}
	[[Category:3-limit record edos]]		[[Category:3-limit record edos\|#####]] <!-- 5-digit number -->

2025-07-28T16:27:55Z

+ category

← Older revision		Revision as of 16:27, 28 July 2025
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	{{~~todo~~\|inline=1\|explain its xenharmonic value}}		{{Todo\|inline=1\|explain its xenharmonic value}}
			[[Category:3-limit record edos]]

2025-02-20T06:59:36Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:59, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|15601~~}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched.		{{ED intro}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched.

	This system is at its best behavior in the 2.3.19.23 subgroup.		This system is at its best behavior in the 2.3.19.23 subgroup.

2025-01-04T00:02:54Z

← Older revision		Revision as of 00:02, 4 January 2025
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	31202edo, which doubles 15601edo, provides a good correction to harmonics 5, 7, 11, 13 and 17. [[78005edo]], which slices each step of 15601edo in five, is notable for an exceptional approximation quality of the 5-limit.		31202edo, which doubles 15601edo, provides a good correction to harmonics 5, 7, 11, 13 and 17. [[78005edo]], which slices each step of 15601edo in five, is notable for an exceptional approximation quality of the 5-limit.


			{{todo\|inline=1\|explain its xenharmonic value}}

2023-07-09T06:10:21Z

← Older revision		Revision as of 06:10, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|15601}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched.		{{EDO intro\|15601}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched.

2023-07-09T04:14:21Z

← Older revision		Revision as of 04:14, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|15601}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched.		{{EDO intro\|15601}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched.

2023-02-20T08:47:45Z

Cleanup and +superset edos

← Older revision		Revision as of 08:47, 20 February 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~The '''15601 edo''' divides the octave into~~ 15601 ~~equal parts of 0.076918 cents each.~~ It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched~~. It is the 1819th [[prime edo]]~~.		{{EDO intro\|15601}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched.

	~~== Theory ==~~		This system is at its best behavior in the 2.3.19.23 subgroup.
	This system is at its best behavior in the 2.3.19.23 subgroup

			=== Prime harmonics ===
	{{Harmonics in equal\|15601}}		{{Harmonics in equal\|15601}}

	[[~~Category:Equal divisions~~ of the ~~octave\|#####]] <!--~~ 5-~~digit number -->~~		=== Subsets and supersets ===
			15601edo is the 1819th [[prime edo]].

			31202edo, which doubles 15601edo, provides a good correction to harmonics 5, 7, 11, 13 and 17. [[78005edo]], which slices each step of 15601edo in five, is notable for an exceptional approximation quality of the 5-limit.

2022-12-22T10:19:23Z

← Older revision		Revision as of 10:19, 22 December 2022
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	{{Infobox ET}}		{{Infobox ET}}
	The '''15601 edo''' divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched. It is the 1819th [[prime edo]].		The '''15601 edo''' divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched. It is the 1819th [[prime edo]].

			== Theory ==
			This system is at its best behavior in the 2.3.19.23 subgroup

			{{Harmonics in equal\|15601}}

	[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->		[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->

2022-10-04T22:24:11Z

Infobox ET added

← Older revision		Revision as of 22:24, 4 October 2022
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			{{Infobox ET}}
	The '''15601 edo''' divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched. It is the 1819th [[prime edo]].		The '''15601 edo''' divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched. It is the 1819th [[prime edo]].

	[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->		[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->

2022-07-04T01:42:06Z

← Older revision		Revision as of 01:42, 4 July 2022
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	The '''15601 edo''' divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched. It is the 1819th [[prime edo]].		The '''15601 edo''' divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo\|665]], before [[31867edo\|31867]], and has a fifth which is 0.000002 cents stretched. It is the 1819th [[prime edo]].

			[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->