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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=45%2F38</id>
	<title>45/38 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=45%2F38"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=45/38&amp;action=history"/>
	<updated>2026-06-26T18:01:09Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.6</generator>
	<entry>
		<id>https://en.xen.wiki/index.php?title=45/38&amp;diff=216049&amp;oldid=prev</id>
		<title>FloraC: Text replacement - &quot; {{Interval_Edo_Approximation | &quot; to &quot;{{Interval edo approximation|&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=45/38&amp;diff=216049&amp;oldid=prev"/>
		<updated>2025-11-03T13:09:57Z</updated>

		<summary type="html">&lt;p&gt;Text replacement - &amp;quot; {{Interval_Edo_Approximation | &amp;quot; to &amp;quot;{{Interval edo approximation|&amp;quot;&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 13:09, 3 November 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-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&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;&amp;#039;&amp;#039;&amp;#039;45/38&amp;#039;&amp;#039;&amp;#039; is a [[19-limit]] interval, 292.7 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is an &amp;#039;&amp;#039;augmented second&amp;#039;&amp;#039;, obtained by subtracting [[81/80]] and [[513/512]] to the [[19683/16384|Pythagorean augmented second]], but it may be called the &amp;#039;&amp;#039;&amp;#039;Eratosthenes&amp;#039; minor third&amp;#039;&amp;#039;&amp;#039; as it is flatter than the [[32/27|Pythagorean minor third]] by the &amp;#039;&amp;#039;password&amp;#039;&amp;#039; aka &amp;#039;&amp;#039;Eratosthenes&amp;#039; comma&amp;#039;&amp;#039; ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.&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;&amp;#039;&amp;#039;&amp;#039;45/38&amp;#039;&amp;#039;&amp;#039; is a [[19-limit]] interval, 292.7 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is an &amp;#039;&amp;#039;augmented second&amp;#039;&amp;#039;, obtained by subtracting [[81/80]] and [[513/512]] to the [[19683/16384|Pythagorean augmented second]], but it may be called the &amp;#039;&amp;#039;&amp;#039;Eratosthenes&amp;#039; minor third&amp;#039;&amp;#039;&amp;#039; as it is flatter than the [[32/27|Pythagorean minor third]] by the &amp;#039;&amp;#039;password&amp;#039;&amp;#039; aka &amp;#039;&amp;#039;Eratosthenes&amp;#039; comma&amp;#039;&amp;#039; ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.&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;== Approximation ==&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;== Approximation ==&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;{{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Interval_Edo_Approximation &lt;/del&gt;| 45/38}}&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;{{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Interval edo approximation&lt;/ins&gt;|45/38}}&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;== See also ==&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;== See also ==&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;* [[76/45]] – its [[octave complement]]&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;* [[76/45]] – its [[octave complement]]&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=45/38&amp;diff=215798&amp;oldid=prev</id>
		<title>Pailiaq at 07:01, 3 November 2025</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=45/38&amp;diff=215798&amp;oldid=prev"/>
		<updated>2025-11-03T07:01:06Z</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 07:01, 3 November 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-l5&quot;&gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&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;&amp;#039;&amp;#039;&amp;#039;45/38&amp;#039;&amp;#039;&amp;#039; is a [[19-limit]] interval, 292.7 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is an &amp;#039;&amp;#039;augmented second&amp;#039;&amp;#039;, obtained by subtracting [[81/80]] and [[513/512]] to the [[19683/16384|Pythagorean augmented second]], but it may be called the &amp;#039;&amp;#039;&amp;#039;Eratosthenes&amp;#039; minor third&amp;#039;&amp;#039;&amp;#039; as it is flatter than the [[32/27|Pythagorean minor third]] by the &amp;#039;&amp;#039;password&amp;#039;&amp;#039; aka &amp;#039;&amp;#039;Eratosthenes&amp;#039; comma&amp;#039;&amp;#039; ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.&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;&amp;#039;&amp;#039;&amp;#039;45/38&amp;#039;&amp;#039;&amp;#039; is a [[19-limit]] interval, 292.7 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is an &amp;#039;&amp;#039;augmented second&amp;#039;&amp;#039;, obtained by subtracting [[81/80]] and [[513/512]] to the [[19683/16384|Pythagorean augmented second]], but it may be called the &amp;#039;&amp;#039;&amp;#039;Eratosthenes&amp;#039; minor third&amp;#039;&amp;#039;&amp;#039; as it is flatter than the [[32/27|Pythagorean minor third]] by the &amp;#039;&amp;#039;password&amp;#039;&amp;#039; aka &amp;#039;&amp;#039;Eratosthenes&amp;#039; comma&amp;#039;&amp;#039; ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.&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; &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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== Approximation ==&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; {{Interval_Edo_Approximation | 45/38}}&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;div&gt;== See also ==&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;== See also ==&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;* [[76/45]] – its [[octave complement]]&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;* [[76/45]] – its [[octave complement]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Pailiaq</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=45/38&amp;diff=206593&amp;oldid=prev</id>
		<title>Xenllium: Created page with &quot;{{Infobox interval | Name = Eratosthenes&#039; minor third | Color name = 19uy2, nuyo 2nd }}  &#039;&#039;&#039;45/38&#039;&#039;&#039; is a 19-limit interval, 292.7 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is an &#039;&#039;augmented second&#039;&#039;, obtained by subtracting 81/80 and 513/512 to the Pythagorean augmented second, but it may be called the &#039;&#039;&#039;Eratosthenes&#039; minor third&#039;&#039;&#039; as it is flatter than the Pythagorean minor third by...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=45/38&amp;diff=206593&amp;oldid=prev"/>
		<updated>2025-08-09T10:32:41Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Infobox interval | Name = Eratosthenes&amp;#039; minor third | Color name = 19uy2, nuyo 2nd }}  &amp;#039;&amp;#039;&amp;#039;45/38&amp;#039;&amp;#039;&amp;#039; is a &lt;a href=&quot;/w/19-limit&quot; title=&quot;19-limit&quot;&gt;19-limit&lt;/a&gt; interval, 292.7 &lt;a href=&quot;/w/Cent&quot; title=&quot;Cent&quot;&gt;cents&lt;/a&gt; in size. In the &lt;a href=&quot;/w/Functional_Just_System&quot; title=&quot;Functional Just System&quot;&gt;Functional Just System&lt;/a&gt; and &lt;a href=&quot;/w/Helmholtz-Ellis_notation&quot; class=&quot;mw-redirect&quot; title=&quot;Helmholtz-Ellis notation&quot;&gt;Helmholtz-Ellis notation&lt;/a&gt;, it is an &amp;#039;&amp;#039;augmented second&amp;#039;&amp;#039;, obtained by subtracting &lt;a href=&quot;/w/81/80&quot; title=&quot;81/80&quot;&gt;81/80&lt;/a&gt; and &lt;a href=&quot;/w/513/512&quot; title=&quot;513/512&quot;&gt;513/512&lt;/a&gt; to the &lt;a href=&quot;/w/19683/16384&quot; title=&quot;19683/16384&quot;&gt;Pythagorean augmented second&lt;/a&gt;, but it may be called the &amp;#039;&amp;#039;&amp;#039;Eratosthenes&amp;#039; minor third&amp;#039;&amp;#039;&amp;#039; as it is flatter than the &lt;a href=&quot;/w/32/27&quot; title=&quot;32/27&quot;&gt;Pythagorean minor third&lt;/a&gt; by...&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;
| Name = Eratosthenes&amp;#039; minor third&lt;br /&gt;
| Color name = 19uy2, nuyo 2nd&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;45/38&amp;#039;&amp;#039;&amp;#039; is a [[19-limit]] interval, 292.7 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is an &amp;#039;&amp;#039;augmented second&amp;#039;&amp;#039;, obtained by subtracting [[81/80]] and [[513/512]] to the [[19683/16384|Pythagorean augmented second]], but it may be called the &amp;#039;&amp;#039;&amp;#039;Eratosthenes&amp;#039; minor third&amp;#039;&amp;#039;&amp;#039; as it is flatter than the [[32/27|Pythagorean minor third]] by the &amp;#039;&amp;#039;password&amp;#039;&amp;#039; aka &amp;#039;&amp;#039;Eratosthenes&amp;#039; comma&amp;#039;&amp;#039; ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
* [[76/45]] – its [[octave complement]]&lt;br /&gt;
* [[19/15]] – its [[fifth complement]] &lt;br /&gt;
* [[Gallery of just intervals]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Minor third]]&lt;br /&gt;
[[Category:Third]]&lt;br /&gt;
[[Category:Eratosthenes]]&lt;/div&gt;</summary>
		<author><name>Xenllium</name></author>
	</entry>
</feed>