<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=48th-octave_temperaments</id>
	<title>48th-octave temperaments - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=48th-octave_temperaments"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=48th-octave_temperaments&amp;action=history"/>
	<updated>2026-06-29T09:20:21Z</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=48th-octave_temperaments&amp;diff=180678&amp;oldid=prev</id>
		<title>ArrowHead294 at 04:00, 14 February 2025</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=48th-octave_temperaments&amp;diff=180678&amp;oldid=prev"/>
		<updated>2025-02-14T04:00:13Z</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 04:00, 14 February 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-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&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;Fractional&lt;/del&gt;-octave &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;navigation&lt;/del&gt;|48}}&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;Infobox fractional&lt;/ins&gt;-octave|48}}&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;[[48edo]] contains the predominating [[12edo]] in it, dividing its step in four, as well as being a [[highly composite edo]]. Therefore, various 48th-octave temperaments make sense.  &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;[[48edo]] contains the predominating [[12edo]] in it, dividing its step in four, as well as being a [[highly composite edo]]. Therefore, various 48th-octave temperaments make sense.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>ArrowHead294</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=48th-octave_temperaments&amp;diff=169054&amp;oldid=prev</id>
		<title>BudjarnLambeth: navbox</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=48th-octave_temperaments&amp;diff=169054&amp;oldid=prev"/>
		<updated>2024-12-05T07:34:01Z</updated>

		<summary type="html">&lt;p&gt;navbox&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 07:34, 5 December 2024&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-l17&quot;&gt;Line 17:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&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;[[Support]]ing [[ET]]s: {{EDOs|48, 96d, 144, 384, 528, 624, 720, 1056, 1152, 1776, 1920, 2544, 3696, 4320}}&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;[[Support]]ing [[ET]]s: {{EDOs|48, 96d, 144, 384, 528, 624, 720, 1056, 1152, 1776, 1920, 2544, 3696, 4320}}&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;&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;{{Navbox fractional-octave}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>BudjarnLambeth</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=48th-octave_temperaments&amp;diff=138823&amp;oldid=prev</id>
		<title>Eliora: Created page with &quot;{{Fractional-octave navigation|48}}  48edo contains the predominating 12edo in it, dividing its step in four, as well as being a highly composite edo. Therefore, v...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=48th-octave_temperaments&amp;diff=138823&amp;oldid=prev"/>
		<updated>2024-03-10T15:48:04Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Fractional-octave navigation|48}}  &lt;a href=&quot;/w/48edo&quot; title=&quot;48edo&quot;&gt;48edo&lt;/a&gt; contains the predominating &lt;a href=&quot;/w/12edo&quot; title=&quot;12edo&quot;&gt;12edo&lt;/a&gt; in it, dividing its step in four, as well as being a &lt;a href=&quot;/w/Highly_composite_edo&quot; class=&quot;mw-redirect&quot; title=&quot;Highly composite edo&quot;&gt;highly composite edo&lt;/a&gt;. Therefore, v...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Fractional-octave navigation|48}}&lt;br /&gt;
&lt;br /&gt;
[[48edo]] contains the predominating [[12edo]] in it, dividing its step in four, as well as being a [[highly composite edo]]. Therefore, various 48th-octave temperaments make sense. &lt;br /&gt;
&lt;br /&gt;
This page accommodates a number of temperaments which are otherwise difficult to catalog due to them belonging in multiple temperament families. This is buttressed by the fact that 48 is highly composite and it does contain other fractional-octave commas within itself.&lt;br /&gt;
&lt;br /&gt;
== 70/69-48-commatic ==&lt;br /&gt;
This temperament associates the [[70/69]] interval with one step of 48edo, which it is closely approximated by. 48edo itself does the mapping consistently.&lt;br /&gt;
&lt;br /&gt;
Subgroup: 2.3.5.7.23&lt;br /&gt;
&lt;br /&gt;
Comma list: {{monzo| -47 48 -48 -48 48 }}&lt;br /&gt;
&lt;br /&gt;
{{Mapping|legend=2| 48 0 0 0 47 | 0 1 0 0 -1 | 0 0 1 0 1 | 0 0 0 1 1 }}&lt;br /&gt;
&lt;br /&gt;
: sval mapping generators: ~70/69 = 1\48, ~3, ~5, ~7&lt;br /&gt;
&lt;br /&gt;
[[Support]]ing [[ET]]s: {{EDOs|48, 96d, 144, 384, 528, 624, 720, 1056, 1152, 1776, 1920, 2544, 3696, 4320}}&lt;/div&gt;</summary>
		<author><name>Eliora</name></author>
	</entry>
</feed>