284edo - Revision history

ArrowHead294 at 14:28, 20 February 2025

2025-02-20T14:28:53Z

← Older revision		Revision as of 14:28, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	The equal temperament [[tempering out\|tempers out]] the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank-3 temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-4 temperament.		The equal temperament [[tempering out\|tempers out]] the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank-3 temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-4 temperament.

FloraC: Rework

2024-03-08T05:25:24Z

Rework

← Older revision		Revision as of 05:25, 8 March 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''284~~ EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.		{{EDO intro}}

			The equal temperament [[tempering out\|tempers out]] the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank-3 temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-4 temperament.

			=== Prime harmonics ===
	{{Harmonics in equal\|284}}		{{Harmonics in equal\|284}}
	[[Category:~~Equal divisions of the octave\|###~~]] ~~<!-- 3-digit number -->~~
	[[Category:~~Nano~~]]		=== Subsets and supersets ===
			Since 284 factors into {{factorization\|284}}, 284edo has subset edos {{EDOs\| 2, 4, 71, and 142 }}.

			[[Category:Keenanismic]]
			[[Category:Agni]]
			[[Category:Enlil]]
			[[Category:Quadritikleismic]]

BudjarnLambeth: Added "harmonics in equal" table

2023-06-24T03:20:19Z

Added "harmonics in equal" table

← Older revision		Revision as of 03:20, 24 June 2023
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	'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.		'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.

			{{Harmonics in equal\|284}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
	[[Category:Nano]]		[[Category:Nano]]

Plumtree: Infobox ET added

2022-10-04T21:47:11Z

Infobox ET added

← Older revision		Revision as of 21:47, 4 October 2022
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			{{Infobox ET}}
	'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.		'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
	[[Category:Nano]]		[[Category:Nano]]

Fredg999 category edits: Sort key

2022-07-03T19:08:01Z

Sort key

← Older revision		Revision as of 19:08, 3 July 2022
Line 1:		Line 1:
	'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.		'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
	[[Category:Nano]]		[[Category:Nano]]

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:23Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
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	'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.		'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]
	[[Category:Nano]]		[[Category:Nano]]

Xenwolf: reworked: links added, links simplified

2020-12-01T12:50:16Z

reworked: links added, links simplified

← Older revision		Revision as of 12:50, 1 December 2020
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	~~The~~ ''284 ~~equal division~~'' divides the octave into 284 equal parts of size 4.225 ~~cents~~ each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[~~Kleismic_family\|~~quadritikleismic ~~temperament~~]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[~~Optimal_patent_val\|~~optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[~~Breed_family#Agni\|~~agni]] and [[~~Kleismic_rank_three_family#Enlil\|~~enlil]] and keenanismic, the 385/384 rank four temperament.		'''284 EDO''' divides the octave into 284 equal parts of size 4.225 [[cent]]s each. It tempers out the kleisma, [[15625/15552]], and the breedsma, [[2401/2400]], and is a good tuning for [[quadritikleismic]] temperament which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out [[385/384]], for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[agni]] and [[enlil]] and keenanismic, the 385/384 rank-four temperament.
	[[Category:~~edo~~]]
	[[Category:~~nano~~]]		[[Category:Edo]]
			[[Category:Nano]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
Line 1:		Line 1:
	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		The ''284 equal division'' divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[Kleismic_family\|quadritikleismic temperament]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[Optimal_patent_val\|optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[Breed_family#Agni\|agni]] and [[Kleismic_rank_three_family#Enlil\|enlil]] and keenanismic, the 385/384 rank four temperament.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:edo]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2013-01-28 13:53:34 UTC</tt>.<br>~~		[[Category:nano]]
	~~: The original revision id was <tt>402093166</tt>.<br>~~
	: The ~~revision comment was: <tt></tt><br>~~
	~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~
	~~<h4>Original Wikitext content:</h4>~~
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //284 equal division// divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[~~Kleismic family~~\|quadritikleismic temperament]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[~~Breed family~~#Agni\|agni]] and [[~~Kleismic rank three family~~#Enlil\|enlil]] and keenanismic, the 385/384 rank four temperament.~~</pre></div>~~
	~~<h4>Original HTML content~~:~~</h4>~~
	~~<div style="width~~:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>284edo</title></head><body>The <em>284 equal division</em> divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for <a class="wiki_link" href="/Kleismic%20family">quadritikleismic temperament</a> which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments <a class="wiki_link" href="/Breed%20family#Agni">agni</a> and <a class="wiki_link" href="/Kleismic%20rank%20three%20family#Enlil">enlil</a> and keenanismic, the 385/384 rank four temperament.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 402093166 - Original comment:

2013-01-28T13:53:34Z

**Imported revision 402093166 - Original comment: **

← Older revision		Revision as of 13:53, 28 January 2013
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>~~2011~~-10-~~24 01~~:02:51 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2013-01-28 13:53:34 UTC</tt>.<br>
	: The original revision id was <tt>~~267790746~~</tt>.<br>		: The original revision id was <tt>402093166</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt></tt><br>
	The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
	<h4>Original Wikitext content:</h4>		<h4>Original Wikitext content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //284 equal division// divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[Kleismic family\|quadritikleismic temperament]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three ~~temperament~~ [[Kleismic rank three family#Enlil\|enlil]] and keenanismic, the 385/384 rank four temperament.</pre></div>		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //284 equal division// divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[Kleismic family\|quadritikleismic temperament]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments [[Breed family#Agni\|agni]] and [[Kleismic rank three family#Enlil\|enlil]] and keenanismic, the 385/384 rank four temperament.</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>284edo</title></head><body>The <em>284 equal division</em> divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for <a class="wiki_link" href="/Kleismic%20family">quadritikleismic temperament</a> which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three ~~temperament~~ <a class="wiki_link" href="/Kleismic%20rank%20three%20family#Enlil">enlil</a> and keenanismic, the 385/384 rank four temperament.</body></html></pre></div>		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>284edo</title></head><body>The <em>284 equal division</em> divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for <a class="wiki_link" href="/Kleismic%20family">quadritikleismic temperament</a> which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperaments <a class="wiki_link" href="/Breed%20family#Agni">agni</a> and <a class="wiki_link" href="/Kleismic%20rank%20three%20family#Enlil">enlil</a> and keenanismic, the 385/384 rank four temperament.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 267790746 - Original comment:

2011-10-24T01:02:51Z

**Imported revision 267790746 - Original comment: **

← Older revision		Revision as of 01:02, 24 October 2011
Line 1:		Line 1:
	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-10-24 00:56:38 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-10-24 01:02:51 UTC</tt>.<br>
	: The original revision id was <tt>~~267789856~~</tt>.<br>		: The original revision id was <tt>267790746</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt></tt><br>
	The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
	<h4>Original Wikitext content:</h4>		<h4>Original Wikitext content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //284 equal division// divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[Kleismic family\|quadritikleismic temperament]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for ~~both~~ quadritikleismic and keenanismic, the 385/384 rank four temperament.</pre></div>		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //284 equal division// divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for [[Kleismic family\|quadritikleismic temperament]] which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the [[optimal patent val]]. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperament [[Kleismic rank three family#Enlil\|enlil]] and keenanismic, the 385/384 rank four temperament.</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>284edo</title></head><body>The <em>284 equal division</em> divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for <a class="wiki_link" href="/Kleismic%20family">quadritikleismic temperament</a> which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for ~~both~~ quadritikleismic and keenanismic, the 385/384 rank four temperament.</body></html></pre></div>		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>284edo</title></head><body>The <em>284 equal division</em> divides the octave into 284 equal parts of size 4.225 cents each. It tempers out the kleisma, 15625/15552, and the breedsma, 2401/2400, and is a good tuning for <a class="wiki_link" href="/Kleismic%20family">quadritikleismic temperament</a> which tempers out both. This is particularly true for the 11-limit version of quadritikleismic, which also tempers out 385/384, for which it provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In fact, if 385/384 is tempered out essentially the same tuning accuracy can be obtained using quadritikleismic, since 284 provides the optimal patent val for quadritikleismic, the rank three temperament <a class="wiki_link" href="/Kleismic%20rank%20three%20family#Enlil">enlil</a> and keenanismic, the 385/384 rank four temperament.</body></html></pre></div>