175edo - Revision history

ArrowHead294 at 14:06, 20 February 2025

2025-02-20T14:06:44Z

← Older revision		Revision as of 14:06, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|175~~}}		{{ED intro}}

	== Theory ==		== Theory ==

FloraC: Cleanup and clarify; +subsets and supersets

2024-04-25T10:09:24Z

Cleanup and clarify; +subsets and supersets

← Older revision		Revision as of 10:09, 25 April 2024
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	== Theory ==		== Theory ==
	~~175edo~~ tempers out [[~~1029~~/~~1024~~]] and [[~~225~~/~~224~~]], so that it [[support]]s 7-limit [[~~Miracle\|~~miracle ~~temperament~~]], and in fact provides an excellent alternative~~<sup>[why?]</sup>~~ to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/~~439~~, and supports 11-limit miracle. In the 13-limit, 175f val, {{val\|175 277 406 491 605 '''647'''}} tempers out [[351/350]] just as 72 does, and provides a tuning for [[benediction]] temperament very close to the POTE tuning.		175et [[tempering out\|tempers out]] [[225/224]] and [[1029/1024]], so that it [[support]]s 7-limit [[miracle]], and in fact provides an excellent alternative to [[72edo]] for 7-limit miracle with improved [[5/1\|5]] and [[7/1\|7]] at the cost of a slightly flatter [[3/1\|3]]. In the 11-limit, it tempers out [[243/242]], [[385/384]], [[441/440]] and [[540/539]], and supports 11-limit miracle. In the 13-limit, the 175f val, {{val\| 175 277 406 491 605 '''647''' }} tempers out [[351/350]] just as 72 does, and provides a tuning for [[benediction]] temperament very close to the POTE tuning.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{~~harmonics~~ in equal\|175}}		{{Harmonics in equal\|175}}

			=== Subsets and supersets ===
			Since 175 factors into {{factorization\|175}}, 175edo has subset edos {{EDOs\| 5, 7, 25, and 35 }}.

	== Music ==		== Music ==
	* [http://www.archive.org/details/RachmaninoffPlaysBlackjack ~~http://www.archive.org/details/RachmaninoffPlaysBlackjack~~]		; [[Gene Ward Smith]]
	* [http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3 play]		* ''Rachmaninoff Plays Blackjack'' (archived 2010) – [http://www.archive.org/details/RachmaninoffPlaysBlackjack detail] \| [http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3 play] – [[Blackjack]] in 175edo tuning

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

Eliora: /* Harmonics */

2023-10-21T18:02:37Z

Harmonics

← Older revision		Revision as of 18:02, 21 October 2023
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	{{EDO intro\|175}}		{{EDO intro\|175}}

			== Theory ==
	175edo tempers out [[1029/1024]] and [[225/224]], so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative<sup>[why?]</sup> to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f val, {{val\|175 277 406 491 605 '''647'''}} tempers out [[351/350]] just as 72 does, and provides a tuning for [[benediction]] temperament very close to the POTE tuning.		175edo tempers out [[1029/1024]] and [[225/224]], so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative<sup>[why?]</sup> to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f val, {{val\|175 277 406 491 605 '''647'''}} tempers out [[351/350]] just as 72 does, and provides a tuning for [[benediction]] temperament very close to the POTE tuning.
	=== ~~Harmonics~~ ===		=== Odd harmonics ===
	{{harmonics in equal\|175}}		{{harmonics in equal\|175}}
	== Music ==		== Music ==

Eliora: adopt intro, cleanup

2023-10-21T18:02:19Z

adopt intro, cleanup

← Older revision		Revision as of 18:02, 21 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~The ''175 equal division'' divides the octave into~~ 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo\|72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.		{{EDO intro\|175}}

			175edo tempers out [[1029/1024]] and [[225/224]], so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative<sup>[why?]</sup> to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f val, {{val\|175 277 406 491 605 '''647'''}} tempers out [[351/350]] just as 72 does, and provides a tuning for [[benediction]] temperament very close to the POTE tuning.
			=== Harmonics ===
			{{harmonics in equal\|175}}
	== Music ==		== Music ==
	* [http://www.archive.org/details/RachmaninoffPlaysBlackjack http://www.archive.org/details/RachmaninoffPlaysBlackjack]		* [http://www.archive.org/details/RachmaninoffPlaysBlackjack http://www.archive.org/details/RachmaninoffPlaysBlackjack]
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	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
			[[Category:Todo:clarify]]

Plumtree: Infobox ET added

2022-10-04T21:13:48Z

Infobox ET added

← Older revision		Revision as of 21:13, 4 October 2022
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			{{Infobox ET}}
	The ''175 equal division'' divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo\|72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.		The ''175 equal division'' divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo\|72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.

Fredg999 category edits: Categories

2022-07-02T21:20:21Z

Cmloegcmluin: link to new page for Supports

2022-01-25T17:50:58Z

link to new page for Supports

← Older revision		Revision as of 17:50, 25 January 2022
Line 1:		Line 1:
	The ''175 equal division'' divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it ~~supports~~ 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo\|72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.		The ''175 equal division'' divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo\|72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.

	=Music=		=Music=

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 ''175 equal division'' divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo\|72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.
	~~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>2011-11-11 16:21:09 UTC</tt>.<br>~~
	~~: The original revision id was <tt>274495808</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 //175 equal division// divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.

	=Music=		=Music=
	http://www.archive.org/details/RachmaninoffPlaysBlackjack		[http://www.archive.org/details/RachmaninoffPlaysBlackjack http://www.archive.org/details/RachmaninoffPlaysBlackjack]
	[[http://www.archive.org/~~download~~/RachmaninoffPlaysBlackjack~~/rachman.mp3\|play~~]~~]</pre></div>~~
	~~<h4>Original HTML content:</h4>~~		[http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3 play]
	<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>175edo</title></head><body>The <em>175 equal division</em> divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit <a class="wiki_link" href="/Miracle">miracle temperament</a>, and in fact provides an excellent alternative to <a class="wiki_link" href="/72edo">72edo</a> for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.<br />
	~~<br />~~
	~~<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1>~~
	<!-- ws:start:WikiTextUrlRule:8:http://www.archive.org/details/RachmaninoffPlaysBlackjack --><a class="wiki_link_ext" href="http://www.archive.org/details/RachmaninoffPlaysBlackjack" rel="nofollow">http://www.archive.org/details/RachmaninoffPlaysBlackjack</a><!-- ws:end:WikiTextUrlRule:8 --><br />
	~~<a class="wiki_link_ext" href="~~http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3~~" rel="nofollow">~~play~~</a></body></html></pre></div>~~

Wikispaces>genewardsmith: Imported revision 274495808 - Original comment:

2011-11-11T16:21:09Z

**Imported revision 274495808 - Original comment: **

Wikispaces>genewardsmith: Imported revision 249725482 - Original comment:

2011-08-31T12:31:54Z

**Imported revision 249725482 - Original comment: **

← Older revision		Revision as of 21:20, 2 July 2022
Line 1:		Line 1:
	The ''175 equal division'' divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo\|72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.		The ''175 equal division'' divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it [[support]]s 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo\|72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.

	=Music=		== Music ==
	[http://www.archive.org/details/RachmaninoffPlaysBlackjack http://www.archive.org/details/RachmaninoffPlaysBlackjack]		* [http://www.archive.org/details/RachmaninoffPlaysBlackjack http://www.archive.org/details/RachmaninoffPlaysBlackjack]
			* [http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3 play]

	[~~http~~:~~//www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3 play~~]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

← Older revision		Revision as of 16:21, 11 November 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>2011-08-~~31 12~~:31:54 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-11-11 16:21:09 UTC</tt>.<br>
	: The original revision id was <tt>~~249725482~~</tt>.<br>		: The original revision id was <tt>274495808</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 //175 equal division// divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does.		<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 //175 equal division// divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.

	=Music=		=Music=
Line 12:		Line 12:
	[[http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3\|play]]</pre></div>		[[http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3\|play]]</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>175edo</title></head><body>The <em>175 equal division</em> divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit <a class="wiki_link" href="/Miracle">miracle temperament</a>, and in fact provides an excellent alternative to <a class="wiki_link" href="/72edo">72edo</a> for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does.<br />		<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>175edo</title></head><body>The <em>175 equal division</em> divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit <a class="wiki_link" href="/Miracle">miracle temperament</a>, and in fact provides an excellent alternative to <a class="wiki_link" href="/72edo">72edo</a> for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does, and provides a tuning for benediction temperament very close to the POTE tuning.<br />
	<br />		<br />
	<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1>		<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1>
	<!-- ws:start:WikiTextUrlRule:8:http://www.archive.org/details/RachmaninoffPlaysBlackjack --><a class="wiki_link_ext" href="http://www.archive.org/details/RachmaninoffPlaysBlackjack" rel="nofollow">http://www.archive.org/details/RachmaninoffPlaysBlackjack</a><!-- ws:end:WikiTextUrlRule:8 --><br />		<!-- ws:start:WikiTextUrlRule:8:http://www.archive.org/details/RachmaninoffPlaysBlackjack --><a class="wiki_link_ext" href="http://www.archive.org/details/RachmaninoffPlaysBlackjack" rel="nofollow">http://www.archive.org/details/RachmaninoffPlaysBlackjack</a><!-- ws:end:WikiTextUrlRule:8 --><br />
	<a class="wiki_link_ext" href="http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3" rel="nofollow">play</a></body></html></pre></div>		<a class="wiki_link_ext" href="http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3" rel="nofollow">play</a></body></html></pre></div>

← Older revision		Revision as of 12:31, 31 August 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>2011-08-31 12:27:15 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-08-31 12:31:54 UTC</tt>.<br>
	: The original revision id was <tt>~~249724240~~</tt>.<br>		: The original revision id was <tt>249725482</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 //175 equal division// divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit [[~~Gamelsimic clan#~~Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does.		<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 //175 equal division// divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit [[Miracle\|miracle temperament]], and in fact provides an excellent alternative to [[72edo]] for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does.

	=Music=		=Music=
Line 12:		Line 12:
	[[http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3\|play]]</pre></div>		[[http://www.archive.org/download/RachmaninoffPlaysBlackjack/rachman.mp3\|play]]</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>175edo</title></head><body>The <em>175 equal division</em> divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit <a class="wiki_link" href="/~~Gamelsimic%20clan#~~Miracle">miracle temperament</a>, and in fact provides an excellent alternative to <a class="wiki_link" href="/72edo">72edo</a> for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does.<br />		<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>175edo</title></head><body>The <em>175 equal division</em> divides the octave into 175 equal parts of 6.857 cents each. It tempers out 1029/1024 and 225/224, so that it supports 7-limit <a class="wiki_link" href="/Miracle">miracle temperament</a>, and in fact provides an excellent alternative to <a class="wiki_link" href="/72edo">72edo</a> for 7-limit miracle. In the 11-limit, it tempers out 243/242, 385/384, 441/440 and 540/439, and supports 11-limit miracle. In the 13-limit, 175f tempers out 351/350 just as 72 does.<br />
	<br />		<br />
	<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1>		<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:0 -->Music</h1>
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