41-limit - Revision history

Lériendil at 15:46, 13 March 2025

2025-03-13T15:46:11Z

← Older revision		Revision as of 15:46, 13 March 2025
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	[[311edo]] is notable for being the smallest edo that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.		[[311edo]] is notable for being the smallest edo that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.

			{{stub}}

	[[Category:41-limit\| ]] <!-- main article -->		[[Category:41-limit\| ]] <!-- main article -->

FloraC: +relation to odd limits and harmonic/subharmonic modes

2024-12-17T15:44:37Z

+relation to odd limits and harmonic/subharmonic modes

← Older revision		Revision as of 15:44, 17 December 2024
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	{{Prime limit navigation\|41}}		{{Prime limit navigation\|41}}
	The '''41-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 41. It is the 13th [[prime limit]] and is ~~thus~~ a superset of the [[37-limit]] and a subset of the [[43-limit]].		The '''41-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 41. It is the 13th [[prime limit]] and is a superset of the [[37-limit]] and a subset of the [[43-limit]].

			These things are contained by the 41-limit, but not the 37-limit:
			* The [[41-odd-limit]];
			* Mode 21 of the harmonic or subharmonic series.

	[[311edo]] is notable for being the smallest edo that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.		[[311edo]] is notable for being the smallest edo that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.

	~~== See also ==~~
	* [[41-odd-limit]]

	[[Category:41-limit\| ]] <!-- main article -->		[[Category:41-limit\| ]] <!-- main article -->

FloraC: Rework intro and see also

2024-01-07T10:42:20Z

Rework intro and see also

← Older revision		Revision as of 10:42, 7 January 2024
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	{{Prime limit navigation\|41}}		{{Prime limit navigation\|41}}
	'''41-limit''' is the 13th [[prime limit]] and is thus a superset of the [[37-limit]] and a subset of the [[43-limit]]. [[311edo~~\|311EDO~~]] is notable as being the smallest ~~EDO~~ that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.		The '''41-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 41. It is the 13th [[prime limit]] and is thus a superset of the [[37-limit]] and a subset of the [[43-limit]].

			[[311edo]] is notable for being the smallest edo that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.

	== See also ==		== See also ==
	* [[Harmonic limit]]
	* [[41-odd-limit]]		* [[41-odd-limit]]

	[[Category:41-limit\| ]] <!-- main article -->		[[Category:41-limit\| ]] <!-- main article -->

Fredg999 category edits: Removing from Category:Prime limit using Cat-a-lot

2023-01-03T08:22:30Z

Removing from Category:Prime limit using Cat-a-lot

← Older revision		Revision as of 08:22, 3 January 2023
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	[[Category:41-limit\| ]] <!-- main article -->		[[Category:41-limit\| ]] <!-- main article -->
	~~[[Category:Prime limit]]~~

FloraC: +navigation bar

2022-11-29T14:14:16Z

+navigation bar

← Older revision		Revision as of 14:14, 29 November 2022
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			{{Prime limit navigation\|41}}
	'''41-limit''' is the 13th [[prime limit]] and is thus a superset of the [[37-limit]] and a subset of the [[43-limit]]. [[311edo\|311EDO]] is notable as being the smallest EDO that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.		'''41-limit''' is the 13th [[prime limit]] and is thus a superset of the [[37-limit]] and a subset of the [[43-limit]]. [[311edo\|311EDO]] is notable as being the smallest EDO that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.

Fredg999: Categories

2021-12-16T17:17:20Z

Xenllium at 12:59, 29 September 2021

2021-09-29T12:59:39Z

← Older revision		Revision as of 12:59, 29 September 2021
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	[[Category:Limit]]		[[Category:Limit]]
	[[Category:Prime limit]]		[[Category:Prime limit]]
			[[Category:Rank 13]]

Xenllium: Created page with "'''41-limit''' is the 13th prime limit and is thus a superset of the 37-limit and a subset of the 43-limit. 311EDO is notable as being the smallest EDO..."

2021-09-28T13:08:56Z

Created page with "'''41-limit''' is the 13th prime limit and is thus a superset of the 37-limit and a subset of the 43-limit. 311EDO is notable as being the smallest EDO..."

New page

'''41-limit''' is the 13th [[prime limit]] and is thus a superset of the [[37-limit]] and a subset of the [[43-limit]]. [[311edo|311EDO]] is notable as being the smallest EDO that is [[consistent]] to the 41-odd-limit, and approximating odd harmonics up to 41 (integer harmonics up to 42) within 25r¢ (0.9646¢) of accuracy.

== See also ==
* [[Harmonic limit]]
* [[41-odd-limit]]

[[Category:41-limit]]
[[Category:Limit]]
[[Category:Prime limit]]

← Older revision		Revision as of 17:17, 16 December 2021
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	* [[41-odd-limit]]		* [[41-odd-limit]]

	[[Category:41-limit]]		[[Category:41-limit\| ]] <!-- main article -->
	~~[[Category:Limit]]~~
	[[Category:Prime limit]]		[[Category:Prime limit]]
	~~[[Category:Rank 13]]~~