190537edo - Revision history

Overthink: Fix sectioning

2026-01-14T22:50:55Z

Fix sectioning

← Older revision		Revision as of 22:50, 14 January 2026
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	{{ED intro}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].		{{ED intro}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].

			== Theory ==
	190537edo has a [[consistency]] limit of 11, which is rather impressive for a convergent. However, it is strongest in the 2.3.7.17.23 subgroup. Notably, it is the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity ''k''-strength]] greater than 1 since [[665edo]] and it even surpasses 665edo in telicity ''k''-strength. However, the downside is that the step size is many times smaller than the [[JND]]. The 3-limit comma this edo tempers out has been named the [[Archangelic comma]].		190537edo has a [[consistency]] limit of 11, which is rather impressive for a convergent. However, it is strongest in the 2.3.7.17.23 subgroup. Notably, it is the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity ''k''-strength]] greater than 1 since [[665edo]] and it even surpasses 665edo in telicity ''k''-strength. However, the downside is that the step size is many times smaller than the [[JND]]. The 3-limit comma this edo tempers out has been named the [[Archangelic comma]].

	~~== Theory ==~~
	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|190537\|columns=12}}		{{Harmonics in equal\|190537\|columns=12}}

Overthink: /* Supersets */ Fixed links to go to user page

2025-09-28T03:53:08Z

Supersets: Fixed links to go to user page

← Older revision		Revision as of 03:53, 28 September 2025
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	=== Supersets ===		=== Supersets ===
	* [[571611edo]] (3×)		* [[User:Aura/571611edo\|571611edo]] (3×)
	* [[762148edo]] (4×)		* [[User:Aura/762148edo\|762148edo]] (4×)
	* [[1714833edo]] (9×)		* [[User:Aura/1714833edo\|1714833edo]] (9×)
	* [[1905370edo]] (10×)		* [[User:Aura/1905370edo\|1905370edo]] (10×)
	* [[2667518edo]] (14×)		* [[User:Aura/2667518edo\|2667518edo]] (14×)
	* [[4191814edo]] (22×)		* [[User:Aura/4191814edo\|4191814edo]] (22×)

	[[Category:3-limit record edos\|######]] <!-- 6-digit number -->		[[Category:3-limit record edos\|######]] <!-- 6-digit number -->

Tristanbay: Giving most edo pages over 100000 the mathematical interest note

2025-09-08T17:50:14Z

Giving most edo pages over 100000 the mathematical interest note

← Older revision		Revision as of 17:50, 8 September 2025
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			{{Mathematical interest}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].		{{ED intro}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].

Fredg999: Add level-2 heading

2025-07-31T14:01:04Z

Add level-2 heading

← Older revision		Revision as of 14:01, 31 July 2025
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	190537edo has a [[consistency]] limit of 11, which is rather impressive for a convergent. However, it is strongest in the 2.3.7.17.23 subgroup. Notably, it is the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity ''k''-strength]] greater than 1 since [[665edo]] and it even surpasses 665edo in telicity ''k''-strength. However, the downside is that the step size is many times smaller than the [[JND]]. The 3-limit comma this edo tempers out has been named the [[Archangelic comma]].		190537edo has a [[consistency]] limit of 11, which is rather impressive for a convergent. However, it is strongest in the 2.3.7.17.23 subgroup. Notably, it is the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity ''k''-strength]] greater than 1 since [[665edo]] and it even surpasses 665edo in telicity ''k''-strength. However, the downside is that the step size is many times smaller than the [[JND]]. The 3-limit comma this edo tempers out has been named the [[Archangelic comma]].

			== Theory ==
	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|190537\|columns=12}}		{{Harmonics in equal\|190537\|columns=12}}

Fredg999: Add list of supersets (since several of these extremely large edos' pages are related)

2025-07-31T14:00:26Z

Add list of supersets (since several of these extremely large edos' pages are related)

← Older revision		Revision as of 14:00, 31 July 2025
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|190537\|columns=12}}		{{Harmonics in equal\|190537\|columns=12}}

			=== Supersets ===
			* [[571611edo]] (3×)
			* [[762148edo]] (4×)
			* [[1714833edo]] (9×)
			* [[1905370edo]] (10×)
			* [[2667518edo]] (14×)
			* [[4191814edo]] (22×)

	[[Category:3-limit record edos\|######]] <!-- 6-digit number -->		[[Category:3-limit record edos\|######]] <!-- 6-digit number -->

FloraC: Cleanup & + category

2025-07-28T16:32:36Z

Cleanup & + category

← Older revision		Revision as of 16:32, 28 July 2025
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	{{Infobox ET}}		{{Infobox ET}}
			{{ED intro}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].

	~~The '''~~190537edo~~''' divides the octave into 190537 equal parts of 0.0063 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past~~ [[~~111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737~~]].		190537edo has a [[consistency]] limit of 11, which is rather impressive for a convergent. However, it is strongest in the 2.3.7.17.23 subgroup. Notably, it is the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity ''k''-strength]] greater than 1 since [[665edo]] and it even surpasses 665edo in telicity ''k''-strength. However, the downside is that the step size is many times smaller than the [[JND]]. The 3-limit comma this edo tempers out has been named the [[Archangelic comma]].

	~~== Theory ==~~
	~~190537edo has a consistency~~ limit of 11, which is rather impressive for a convergent. However, it's strongest in the 2.3.7.17.23 subgroup. Notably, it's the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity k-strength]] greater ~~that~~ 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength. However, the downside is that the step size is many times smaller than the JND. The 3-limit comma this ~~EDO~~ tempers out has been named the [[Archangelic comma]].

			=== Prime harmonics ===
	{{Harmonics in equal\|190537\|columns=12}}		{{Harmonics in equal\|190537\|columns=12}}

	[[Category:~~Equal divisions of the octave~~\|######]] <!-- 6-digit number -->		[[Category:3-limit record edos\|######]] <!-- 6-digit number -->

BudjarnLambeth at 07:19, 9 July 2023

2023-07-09T07:19:52Z

← Older revision		Revision as of 07:19, 9 July 2023
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	~~{{novelty}}~~{{Infobox ET}}		{{Infobox ET}}

	The '''190537edo''' divides the octave into 190537 equal parts of 0.0063 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].		The '''190537edo''' divides the octave into 190537 equal parts of 0.0063 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].

BudjarnLambeth at 04:02, 9 July 2023

2023-07-09T04:02:02Z

← Older revision		Revision as of 04:02, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{Infobox ET}}

	The '''190537edo''' divides the octave into 190537 equal parts of 0.0063 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].		The '''190537edo''' divides the octave into 190537 equal parts of 0.0063 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[111202edo\|111202]], with another such convergent not occurring until [[10590737edo\|10590737]].

Aura at 12:03, 23 December 2022

2022-12-23T12:03:18Z

← Older revision		Revision as of 12:03, 23 December 2022
Line 6:		Line 6:
	190537edo has a consistency limit of 11, which is rather impressive for a convergent. However, it's strongest in the 2.3.7.17.23 subgroup. Notably, it's the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity k-strength]] greater that 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength. However, the downside is that the step size is many times smaller than the JND. The 3-limit comma this EDO tempers out has been named the [[Archangelic comma]].		190537edo has a consistency limit of 11, which is rather impressive for a convergent. However, it's strongest in the 2.3.7.17.23 subgroup. Notably, it's the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity k-strength]] greater that 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength. However, the downside is that the step size is many times smaller than the JND. The 3-limit comma this EDO tempers out has been named the [[Archangelic comma]].

	{{Harmonics in equal\|190537}}		{{Harmonics in equal\|190537\|columns=12}}

	[[Category:Equal divisions of the octave\|######]] <!-- 6-digit number -->		[[Category:Equal divisions of the octave\|######]] <!-- 6-digit number -->

Aura at 11:00, 23 December 2022

2022-12-23T11:00:41Z

← Older revision		Revision as of 11:00, 23 December 2022
Line 4:		Line 4:

	== Theory ==		== Theory ==
	190537edo has a consistency limit of 11, which is rather impressive for a convergent. However, it's strongest in the 2.3.7.17.23 subgroup. Notably, it's the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity k-strength]] greater that 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength. The 3-limit comma this EDO tempers out has been named the [[Archangelic comma]].		190537edo has a consistency limit of 11, which is rather impressive for a convergent. However, it's strongest in the 2.3.7.17.23 subgroup. Notably, it's the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity k-strength]] greater that 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength. However, the downside is that the step size is many times smaller than the JND. The 3-limit comma this EDO tempers out has been named the [[Archangelic comma]].

	{{Harmonics in equal\|190537}}		{{Harmonics in equal\|190537}}

	[[Category:Equal divisions of the octave\|######]] <!-- 6-digit number -->		[[Category:Equal divisions of the octave\|######]] <!-- 6-digit number -->

← Older revision		Revision as of 12:03, 23 December 2022
Line 6:		Line 6:
	190537edo has a consistency limit of 11, which is rather impressive for a convergent. However, it's strongest in the 2.3.7.17.23 subgroup. Notably, it's the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity k-strength]] greater that 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength. However, the downside is that the step size is many times smaller than the JND. The 3-limit comma this EDO tempers out has been named the [[Archangelic comma]].		190537edo has a consistency limit of 11, which is rather impressive for a convergent. However, it's strongest in the 2.3.7.17.23 subgroup. Notably, it's the first member of the log<sub>2</sub>3 convergent series with a 3-2 [[Telicity #k-Strong Telicity\|telicity k-strength]] greater that 1 since [[665edo]] and it even surpasses 665edo in telicity k-strength. However, the downside is that the step size is many times smaller than the JND. The 3-limit comma this EDO tempers out has been named the [[Archangelic comma]].

	{{Harmonics in equal\|190537}}		{{Harmonics in equal\|190537\|columns=12}}

	[[Category:Equal divisions of the octave\|######]] <!-- 6-digit number -->		[[Category:Equal divisions of the octave\|######]] <!-- 6-digit number -->