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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=2925%2F2924</id>
	<title>2925/2924 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=2925%2F2924"/>
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	<updated>2026-07-28T06:19:19Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=2925/2924&amp;diff=175597&amp;oldid=prev</id>
		<title>FloraC: FloraC moved page Beattisma to 2925/2924 over redirect: 8-digit ratios are okay as page titles</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=2925/2924&amp;diff=175597&amp;oldid=prev"/>
		<updated>2025-01-10T17:10:56Z</updated>

		<summary type="html">&lt;p&gt;FloraC moved page &lt;a href=&quot;/w/Beattisma&quot; class=&quot;mw-redirect&quot; title=&quot;Beattisma&quot;&gt;Beattisma&lt;/a&gt; to &lt;a href=&quot;/w/2925/2924&quot; title=&quot;2925/2924&quot;&gt;2925/2924&lt;/a&gt; over redirect: 8-digit ratios are okay as page titles&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:10, 10 January 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>FloraC</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=2925/2924&amp;diff=175496&amp;oldid=prev</id>
		<title>Francium: Created page with &quot;{{Infobox Interval | Ratio = 2925/2924 | Name = beattisma | Color name = 43u17u3oyy-2 &lt;br&gt; fothusuthoyoyo negative 2nd | Comma = yes }}  &#039;&#039;&#039;2925/2924&#039;&#039;&#039;, the &#039;&#039;&#039;beattisma&#039;&#039;&#039;,...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=2925/2924&amp;diff=175496&amp;oldid=prev"/>
		<updated>2025-01-09T20:09:34Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Infobox Interval | Ratio = 2925/2924 | Name = beattisma | Color name = 43u17u3oyy-2 &amp;lt;br&amp;gt; fothusuthoyoyo negative 2nd | Comma = yes }}  &amp;#039;&amp;#039;&amp;#039;2925/2924&amp;#039;&amp;#039;&amp;#039;, the &amp;#039;&amp;#039;&amp;#039;beattisma&amp;#039;&amp;#039;&amp;#039;,...&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;
| Ratio = 2925/2924&lt;br /&gt;
| Name = beattisma&lt;br /&gt;
| Color name = 43u17u3oyy-2 &amp;lt;br&amp;gt; fothusuthoyoyo negative 2nd&lt;br /&gt;
| Comma = yes&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;2925/2924&amp;#039;&amp;#039;&amp;#039;, the &amp;#039;&amp;#039;&amp;#039;beattisma&amp;#039;&amp;#039;&amp;#039;, is a [[43-limit]] [[superparticular interval|superparticular comma]] of about 0.59 [[cent]]s.&lt;br /&gt;
&lt;br /&gt;
== Commatic relationships ==&lt;br /&gt;
This comma is the difference between the following superparticular pairs:&lt;br /&gt;
* [[130/129]] and [[136/135]]&lt;br /&gt;
* [[273/272]] and [[301/300]]&lt;br /&gt;
* [[375/374]] and [[430/429]]&lt;br /&gt;
* [[1377/1376]] and [[2601/2600]]&lt;br /&gt;
&lt;br /&gt;
It can be factored into the following superparticular ratios:&lt;br /&gt;
* [[2926/2925]] and [[8555625/8555624]]&lt;br /&gt;
* [[2945/2944]] and [[430560/430559]]&lt;br /&gt;
* [[2976/2975]] and [[170625/170624]]&lt;br /&gt;
* [[3025/3024]] and [[88452/88451]]&lt;br /&gt;
* [[3250/3249]] and [[29241/29240]]&lt;br /&gt;
* [[3312/3311]] and [[25025/25024]]&lt;br /&gt;
* [[3510/3509]] and [[17545/17544]]&lt;br /&gt;
* [[4200/4199]] and [[9633/9632]]&lt;br /&gt;
* [[4225/4224]] and [[9504/9503]]&lt;br /&gt;
* [[4625/4624]] and [[7956/7955]]&lt;br /&gt;
* [[4914/4913]] and [[7225/7224]]&lt;br /&gt;
* [[5720/5719]] and [[5985/5984]]&lt;br /&gt;
&lt;br /&gt;
== Temperaments ==&lt;br /&gt;
Tempering out this comma in the full 43-limit leads to the rank-13 temperament &amp;#039;&amp;#039;&amp;#039;beattismic&amp;#039;&amp;#039;&amp;#039;. Using the 2.3.5.13.17.43 subgroup leads to the rank-5 temperament &amp;#039;&amp;#039;&amp;#039;beattic&amp;#039;&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
=== Beattic ===&lt;br /&gt;
&lt;br /&gt;
[[Subgroup]]: 2.3.5.13.17.43&lt;br /&gt;
&lt;br /&gt;
[[Comma list]]: 2925/2924&lt;br /&gt;
&lt;br /&gt;
[[Mapping]]: &amp;lt;br&amp;gt;&lt;br /&gt;
{| class=&amp;quot;right-all&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| [⟨ || 1 || 1 || 2 || 3 || 4 || 3 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 1 || 0 || 0 || 0 || 2 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 0 || 1 || 0 || 0 || 2 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 0 || 0 || 1 || 0 || 1 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 0 || 0 || 0 || 1 || -1 || ]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.922, ~5/4 = 386.244, ~13/8 = 840.439, ~17/16 = 105.064&lt;br /&gt;
&lt;br /&gt;
{{Optimal ET sequence|legend=1| 5gn, 7fgn, 7g, 10, 12, 15gn, 19g, 24n, 26nn, 27g, 29g, 31, 34n, 60n, 65, 72n, 77, 87, 106, 171, 183, 277, 354, 460, 764, 814, 901, 1178, 1361, 1395, 1942, 2296 }}&lt;br /&gt;
&lt;br /&gt;
== Etymology ==&lt;br /&gt;
This comma was named by [[Francium]] in 2025. It refers to {{W|2925 Beatty}}, the asteroid, which in turn was named after J. Kelly Beatty, an astronomy writer and editor of {{W|Sky &amp;amp; Telescope}}.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[Unnoticeable comma]]&lt;br /&gt;
* [[List of superparticular intervals]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Commas named after asteroids]]&lt;br /&gt;
[[Category:Commas named after individuals]]&lt;/div&gt;</summary>
		<author><name>Francium</name></author>
	</entry>
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