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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Alchemisma</id>
	<title>Alchemisma - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Alchemisma"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Alchemisma&amp;action=history"/>
	<updated>2026-09-01T14:11:43Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=Alchemisma&amp;diff=236545&amp;oldid=prev</id>
		<title>Tristanbay: more info</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Alchemisma&amp;diff=236545&amp;oldid=prev"/>
		<updated>2026-09-01T09:56:40Z</updated>

		<summary type="html">&lt;p&gt;more info&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 09:56, 1 September 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-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&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;L&amp;lt;sup&amp;gt;5&amp;lt;/sup&amp;gt;y&amp;lt;sup&amp;gt;36&amp;lt;/sup&amp;gt;-10|Name=alchemisma}}&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;L&amp;lt;sup&amp;gt;5&amp;lt;/sup&amp;gt;y&amp;lt;sup&amp;gt;36&amp;lt;/sup&amp;gt;-10|Name=alchemisma}}&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;The &#039;&#039;&#039;alchemisma&#039;&#039;&#039; is a [[Small comma|small]] [[5-limit]] [[comma]] measuring about {{Frac|5|1|3}} cents. It is the amount by which 36 [[5/4]]&amp;lt;nowiki/&amp;gt;s exceeds a single [[3/2]], [[Octave reduction|octave-reduced]]. Tempering it out leads to the &#039;&#039;alchemy&#039;&#039; temperament, which has its [[~]]3/2 at 36 generators of ~5/4. This temperament extends naturally to the 2.3.5.11 [[Just intonation subgroup|subgroup]], with ~11/8 found at -11 generators.&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;The &#039;&#039;&#039;alchemisma&#039;&#039;&#039; is a [[Small comma|small]] [[5-limit]] [[comma]] measuring about {{Frac|5|1|3}} cents. It is the amount by which &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a stack of &lt;/ins&gt;36 [[5/4]]&amp;lt;nowiki/&amp;gt;s exceeds a single [[3/2]], [[Octave reduction|octave-reduced]]. Tempering it out leads to the &#039;&#039;alchemy&#039;&#039; temperament &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(28 &amp;amp; 87)&lt;/ins&gt;, which has its [[~]]3/2 at 36 generators of ~5/4 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and is supported by [[28edo]], [[87edo]], [[289edo]], [[665edo]], and [[954edo]] using their patent vals&lt;/ins&gt;. This temperament extends naturally to the 2.3.5.11 [[Just intonation subgroup|subgroup&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] by adding the [[4000/3993|pine comma&lt;/ins&gt;]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, 4000/3993&lt;/ins&gt;, with ~11/8 found at -11 generators&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. This extension is supported by the same edos mentioned earlier except for 954edo&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Tristanbay</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Alchemisma&amp;diff=236544&amp;oldid=prev</id>
		<title>Tristanbay: Created page for the alchemisma</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Alchemisma&amp;diff=236544&amp;oldid=prev"/>
		<updated>2026-09-01T09:49:21Z</updated>

		<summary type="html">&lt;p&gt;Created page for the alchemisma&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox interval|Monzo=-82 -1 36|Color name=quinla-quadtritriyo negative 10th,&lt;br /&gt;
L&amp;lt;sup&amp;gt;5&amp;lt;/sup&amp;gt;y&amp;lt;sup&amp;gt;36&amp;lt;/sup&amp;gt;-10|Name=alchemisma}}&lt;br /&gt;
&lt;br /&gt;
The &amp;#039;&amp;#039;&amp;#039;alchemisma&amp;#039;&amp;#039;&amp;#039; is a [[Small comma|small]] [[5-limit]] [[comma]] measuring about {{Frac|5|1|3}} cents. It is the amount by which 36 [[5/4]]&amp;lt;nowiki/&amp;gt;s exceeds a single [[3/2]], [[Octave reduction|octave-reduced]]. Tempering it out leads to the &amp;#039;&amp;#039;alchemy&amp;#039;&amp;#039; temperament, which has its [[~]]3/2 at 36 generators of ~5/4. This temperament extends naturally to the 2.3.5.11 [[Just intonation subgroup|subgroup]], with ~11/8 found at -11 generators.&lt;/div&gt;</summary>
		<author><name>Tristanbay</name></author>
	</entry>
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