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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=5559811767271424%2F5559060566555523</id>
	<title>5559811767271424/5559060566555523 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=5559811767271424%2F5559060566555523"/>
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	<updated>2026-07-07T01:41:45Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=5559811767271424/5559060566555523&amp;diff=225273&amp;oldid=prev</id>
		<title>Squib at 18:24, 6 March 2026</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=5559811767271424/5559060566555523&amp;diff=225273&amp;oldid=prev"/>
		<updated>2026-03-06T18:24:15Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 18:24, 6 March 2026&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-l4&quot;&gt;Line 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&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 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;br&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;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&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: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;5559811767271424/5559060566555523&#039;&#039;&#039; is an [[unnoticeable comma|unnoticeable]] [[2.3.13 subgroup]] [[comma]] of about 0.23{{c}}. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three [[81/52]]&#039;s lowered by [[3/1]]. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Equivalently, &lt;/del&gt;[[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;54&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/del&gt;]] &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is divided into &lt;/del&gt;nine &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;parts &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;81/52. It also equates a stack of nine &lt;/del&gt;[[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;16&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;13&lt;/del&gt;]]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;s with a stack of &lt;/del&gt;eleven [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;32&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;27&lt;/del&gt;]]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;s&lt;/del&gt;.&lt;/div&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;&#039;&#039;&#039;5559811767271424/5559060566555523&#039;&#039;&#039; is an [[unnoticeable comma|unnoticeable]] [[2.3.13 subgroup]] [[comma]] of about 0.23{{c}}. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three [[81/52]]&#039;s lowered by [[3/1]]. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It also divides &lt;/ins&gt;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;27&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;26&lt;/ins&gt;]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in two parts; &lt;/ins&gt;nine of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;these reach &lt;/ins&gt;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;32&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;27&lt;/ins&gt;]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and &lt;/ins&gt;eleven &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reach &lt;/ins&gt;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;16&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;13&lt;/ins&gt;]].&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;br&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;br&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;In terms of commas, it is the difference between:&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;In terms of commas, it is the difference between:&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;* the [[pythagorean comma]] and a stack of three [[threedie]]&amp;#039;s&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;* the [[pythagorean comma]] and a stack of three [[threedie]]&amp;#039;s&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;* [[816293376/815730721]] and the [[tridecapyth comma]]&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;* [[816293376/815730721]] and the [[tridecapyth comma]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Squib</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=5559811767271424/5559060566555523&amp;diff=225270&amp;oldid=prev</id>
		<title>Squib: Created page with &quot;{{Infobox Interval | Monzo = 19 -33 0 0 0 9 | Comma = yes }}  &#039;&#039;&#039;5559811767271424/5559060566555523&#039;&#039;&#039; is an unnoticeable 2.3.13 subgroup comma of about 0.23{{c}}. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three 81/52&#039;s lowered by 3/1. Equivalently, 54/1 is divided into nine parts of 81/52. It also equates a stack of nine 16/13&#039;s with a stack of eleven 32/27&#039;s....&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=5559811767271424/5559060566555523&amp;diff=225270&amp;oldid=prev"/>
		<updated>2026-03-06T18:03:30Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Infobox Interval | Monzo = 19 -33 0 0 0 9 | Comma = yes }}  &amp;#039;&amp;#039;&amp;#039;5559811767271424/5559060566555523&amp;#039;&amp;#039;&amp;#039; is an &lt;a href=&quot;/w/Unnoticeable_comma&quot; title=&quot;Unnoticeable comma&quot;&gt;unnoticeable&lt;/a&gt; &lt;a href=&quot;/index.php?title=2.3.13_subgroup&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;2.3.13 subgroup (page does not exist)&quot;&gt;2.3.13 subgroup&lt;/a&gt; &lt;a href=&quot;/w/Comma&quot; title=&quot;Comma&quot;&gt;comma&lt;/a&gt; of about 0.23{{c}}. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three &lt;a href=&quot;/index.php?title=81/52&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;81/52 (page does not exist)&quot;&gt;81/52&lt;/a&gt;&amp;#039;s lowered by &lt;a href=&quot;/w/3/1&quot; title=&quot;3/1&quot;&gt;3/1&lt;/a&gt;. Equivalently, &lt;a href=&quot;/index.php?title=54/1&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;54/1 (page does not exist)&quot;&gt;54/1&lt;/a&gt; is divided into nine parts of 81/52. It also equates a stack of nine &lt;a href=&quot;/w/16/13&quot; title=&quot;16/13&quot;&gt;16/13&lt;/a&gt;&amp;#039;s with a stack of eleven &lt;a href=&quot;/w/32/27&quot; title=&quot;32/27&quot;&gt;32/27&lt;/a&gt;&amp;#039;s....&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox Interval&lt;br /&gt;
| Monzo = 19 -33 0 0 0 9&lt;br /&gt;
| Comma = yes&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;5559811767271424/5559060566555523&amp;#039;&amp;#039;&amp;#039; is an [[unnoticeable comma|unnoticeable]] [[2.3.13 subgroup]] [[comma]] of about 0.23{{c}}. Tempering it out divides the octave into three equal parts of 177147/140608, which itself is a stack of three [[81/52]]&amp;#039;s lowered by [[3/1]]. Equivalently, [[54/1]] is divided into nine parts of 81/52. It also equates a stack of nine [[16/13]]&amp;#039;s with a stack of eleven [[32/27]]&amp;#039;s.&lt;br /&gt;
&lt;br /&gt;
In terms of commas, it is the difference between:&lt;br /&gt;
* the [[pythagorean comma]] and a stack of three [[threedie]]&amp;#039;s&lt;br /&gt;
* [[816293376/815730721]] and the [[tridecapyth comma]]&lt;/div&gt;</summary>
		<author><name>Squib</name></author>
	</entry>
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