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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=8569%2F8568</id>
	<title>8569/8568 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=8569%2F8568"/>
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	<updated>2026-06-07T11:00:50Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=8569/8568&amp;diff=187575&amp;oldid=prev</id>
		<title>Francium: /* See also */ changed category</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=8569/8568&amp;diff=187575&amp;oldid=prev"/>
		<updated>2025-03-21T16:02:00Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;See also: &lt;/span&gt; changed category&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;
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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 16:02, 21 March 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-l66&quot;&gt;Line 66:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 66:&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;[[Category:Commas named after asteroids]]&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;[[Category:Commas named after asteroids]]&lt;/div&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;[[Category:Commas named after &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;individuals&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;[[Category:Commas named after &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;other creatives&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=8569/8568&amp;diff=183709&amp;oldid=prev</id>
		<title>Francium: Created page with &quot;{{Infobox Interval | Ratio = 8569/8568 | Name = mamelisma | Color name = 41o19o17u1or-2 &lt;br&gt; fowonosuloru negative 2nd | Comma = yes }}  &#039;&#039;&#039;8569/8568&#039;&#039;&#039;, the &#039;&#039;&#039;mamelisma&#039;&#039;&#039;,...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=8569/8568&amp;diff=183709&amp;oldid=prev"/>
		<updated>2025-02-28T13:32:24Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Infobox Interval | Ratio = 8569/8568 | Name = mamelisma | Color name = 41o19o17u1or-2 &amp;lt;br&amp;gt; fowonosuloru negative 2nd | Comma = yes }}  &amp;#039;&amp;#039;&amp;#039;8569/8568&amp;#039;&amp;#039;&amp;#039;, the &amp;#039;&amp;#039;&amp;#039;mamelisma&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 = 8569/8568&lt;br /&gt;
| Name = mamelisma&lt;br /&gt;
| Color name = 41o19o17u1or-2 &amp;lt;br&amp;gt; fowonosuloru negative 2nd&lt;br /&gt;
| Comma = yes&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;8569/8568&amp;#039;&amp;#039;&amp;#039;, the &amp;#039;&amp;#039;&amp;#039;mamelisma&amp;#039;&amp;#039;&amp;#039;, is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.20 [[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;
* [[205/204]] and [[210/209]]&lt;br /&gt;
* [[451/450]] and [[476/475]]&lt;br /&gt;
* [[1463/1462]] and [[1764/1763]]&lt;br /&gt;
* [[2255/2254]] and [[3060/3059]]&lt;br /&gt;
* [[2296/2295]] and [[3136/3135]]&lt;br /&gt;
&lt;br /&gt;
It can be factored into the following superparticular ratios:&lt;br /&gt;
* [[8625/8624]] and [[1319626/1319625]]&lt;br /&gt;
* [[8671/8670]] and [[728365/728364]]&lt;br /&gt;
* [[9361/9360]] and [[101270/101269]]&lt;br /&gt;
* [[10241/10240]] and [[52480/52479]]&lt;br /&gt;
* [[10660/10659]] and [[43681/43680]]&lt;br /&gt;
* [[10830/10829]] and [[41041/41040]]&lt;br /&gt;
* [[11935/11934]] and [[30381/30380]]&lt;br /&gt;
* [[14145/14144]] and [[21736/21735]]&lt;br /&gt;
* [[15457/15456]] and [[19228/19227]]&lt;br /&gt;
&lt;br /&gt;
== Temperaments ==&lt;br /&gt;
Tempering out this comma in the full 41-limit leads to the rank-12 temperament &amp;#039;&amp;#039;&amp;#039;mamelismic&amp;#039;&amp;#039;&amp;#039;. Using the 2.3.7.11.17.19.41 subgroup leads to the rank-6 temperament &amp;#039;&amp;#039;&amp;#039;mamelic&amp;#039;&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
=== Mamelic ===&lt;br /&gt;
&lt;br /&gt;
[[Subgroup]]: 2.3.7.11.17.19.41&lt;br /&gt;
&lt;br /&gt;
[[Comma list]]: 8569/8568&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 || 4 || 4 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 2 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 1 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || -1 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 1 || ],&lt;br /&gt;
|-&lt;br /&gt;
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || -1 || ]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.966, ~7/4 = 968.843, ~11/8 = 551.292, ~17/16 = 104.992, ~19/16 = 297.474&lt;br /&gt;
&lt;br /&gt;
{{Optimal ET sequence|legend=1| 5, 7dghm, 7, 9gmm, 9, 12, 14, 22h, 24m, 26, 29g, 31, 32m, 36e, 41, 48, 63, 89, 118, 166g, 193, 207, 311, 342, 400, 540, 549, 581, 629, 836, 971, 1178, 1371, 1489, 1578, 1807, 2207, 2549, 2667m, 3067m, 3130, 3759, 3966, 4937, 5144, 5337, 6426m, 6515, 7262m, 8004m, 10392m }}&lt;br /&gt;
&lt;br /&gt;
[[Badness]] (Sintel): 0.048&lt;br /&gt;
&lt;br /&gt;
== Etymology ==&lt;br /&gt;
This comma was named by [[Francium]] in 2025. It refers to {{W|8569 Mameli}}, which in turn was named after Goffredo Mameli, an Italian poet.&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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