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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=2549edo</id>
	<title>2549edo - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=2549edo"/>
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	<updated>2026-06-09T21:35:01Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=2549edo&amp;diff=198483&amp;oldid=prev</id>
		<title>Francium: +music</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=2549edo&amp;diff=198483&amp;oldid=prev"/>
		<updated>2025-06-02T11:07:25Z</updated>

		<summary type="html">&lt;p&gt;+music&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 11:07, 2 June 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l30&quot;&gt;Line 30:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 30:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| 2.19&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| 2.19&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== Music ==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; [[Francium]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* &quot;Cats Play Soccer&quot; from &#039;&#039;Microtonal Six-Dimensional Cats&#039;&#039; (2025) – [https://open.spotify.com/track/5ZSSvZLGKpKsb6NP1S16jo Spotify] | [https://francium223.bandcamp.com/track/cats-play-soccer Bandcamp] | [https://www.youtube.com/watch?v=0KNLXV4thkc YouTube]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Francium</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=2549edo&amp;diff=183712&amp;oldid=prev</id>
		<title>Francium: Created page with &quot;{{Infobox ET}} {{ED intro}}  == Theory == 2549edo is consistent to the 7-odd-limit, tempering out 43046721/43025920, {{monzo|28 7 -12 -4}} and {{monzo|-14 4 -1...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=2549edo&amp;diff=183712&amp;oldid=prev"/>
		<updated>2025-02-28T13:50:33Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Infobox ET}} {{ED intro}}  == Theory == 2549edo is &lt;a href=&quot;/w/Consistent&quot; class=&quot;mw-redirect&quot; title=&quot;Consistent&quot;&gt;consistent&lt;/a&gt; to the &lt;a href=&quot;/w/7-odd-limit&quot; title=&quot;7-odd-limit&quot;&gt;7-odd-limit&lt;/a&gt;, &lt;a href=&quot;/w/Tempering_out&quot; title=&quot;Tempering out&quot;&gt;tempering out&lt;/a&gt; &lt;a href=&quot;/w/43046721/43025920&quot; class=&quot;mw-redirect&quot; title=&quot;43046721/43025920&quot;&gt;43046721/43025920&lt;/a&gt;, {{monzo|28 7 -12 -4}} and {{monzo|-14 4 -1...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox ET}}&lt;br /&gt;
{{ED intro}}&lt;br /&gt;
&lt;br /&gt;
== Theory ==&lt;br /&gt;
2549edo is [[consistent]] to the [[7-odd-limit]], [[tempering out]] [[43046721/43025920]], {{monzo|28 7 -12 -4}} and {{monzo|-14 4 -10 11}}. It is strong in the 2.3.7.11.17.19.29 [[subgroup]], tempering out [[5832/5831]], 23409/23408, 69632/69629, 2910897/2910208, 19267919/19267584 and 424589/424536. Using the 2.3.7.11.17.19.41 subgroup, it tempers out [[8569/8568]].&lt;br /&gt;
&lt;br /&gt;
=== Prime harmonics ===&lt;br /&gt;
{{Harmonics in equal|2549}}&lt;br /&gt;
&lt;br /&gt;
=== Subsets and supersets ===&lt;br /&gt;
2549edo is the 373rd [[prime edo]]. [[5098edo]], which doubles it, gives a good correction to the [[harmonic]] [[5/1|5]].&lt;br /&gt;
&lt;br /&gt;
== Regular temperament properties ==&lt;br /&gt;
{| class=&amp;quot;wikitable center-4 center-5 center-6&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! rowspan=&amp;quot;2&amp;quot; | [[Subgroup]]&lt;br /&gt;
! rowspan=&amp;quot;2&amp;quot; | [[Comma list|Comma List]]&lt;br /&gt;
! rowspan=&amp;quot;2&amp;quot; | [[Mapping]]&lt;br /&gt;
! rowspan=&amp;quot;2&amp;quot; | Optimal&amp;lt;br /&amp;gt;8ve stretch (¢)&lt;br /&gt;
! colspan=&amp;quot;2&amp;quot; | Tuning Error&lt;br /&gt;
|-	&lt;br /&gt;
! [[TE error|Absolute]] (¢)&lt;br /&gt;
! [[TE simple badness|Relative]] (%)&lt;br /&gt;
|-&lt;br /&gt;
| 2.3&lt;br /&gt;
| {{monzo|-4040 2549}}&lt;br /&gt;
| {{mapping|2549 4040}}&lt;br /&gt;
| 0.0103&lt;br /&gt;
| 0.0103&lt;br /&gt;
| 2.19&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Francium</name></author>
	</entry>
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