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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User%3ADisasterBlaster%2FSandbox</id>
	<title>User:DisasterBlaster/Sandbox - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User%3ADisasterBlaster%2FSandbox"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;action=history"/>
	<updated>2026-08-04T22:37:10Z</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=User:DisasterBlaster/Sandbox&amp;diff=235131&amp;oldid=prev</id>
		<title>DisasterBlaster at 10:00, 3 August 2026</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=235131&amp;oldid=prev"/>
		<updated>2026-08-03T10:00:59Z</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 10:00, 3 August 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-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;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas]]. Notably also the difference between five [[64/63|archytasmas]] (64/63) to the [[19-comma]], five [[Aberschisma|aberschismas]] to the [[magic comma]], and thus splits the [[tritave]] into 5 intervals, each equated to 5103/4096.&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;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &lt;/ins&gt;Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas]]. Notably also the difference between five [[64/63|archytasmas]] (64/63) to the [[19-comma]], five [[Aberschisma|aberschismas]] to the [[magic comma]], and thus splits the [[tritave]] into 5 intervals, each equated to 5103/4096&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;/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;2359010787328/2353579470675, [30 -23 -2 0 0 3&amp;gt;, Americomma. Named for the thirteen ([[13-limit]]) colonies, I first equated three differences between the [[40/27|classic grave fifth]] and the [[20/13|tridecimal superfifth]] to two semitones (16/15) and then lowered it by a [[Pythagorean comma]]. It is also the difference between three [[Fairytale comma|fairytale commas]] (1001/1000) and the [[Alpharabian comma]], so if I had discovered it that way, I probably would have called it the &#039;golden age comma&#039;&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>DisasterBlaster</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=234737&amp;oldid=prev</id>
		<title>DisasterBlaster at 17:15, 27 July 2026</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=234737&amp;oldid=prev"/>
		<updated>2026-07-27T17:15:34Z</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 17:15, 27 July 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-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;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas]]. Notably also the difference between five [[64/63|archytasmas]] (64/63) to the [[19-comma]], five [[Aberschisma|aberschismas]] to the [[magic comma]], and thus splits the [[tritave]] into 5 intervals, each &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;thus &lt;/del&gt;equated to 5103/4096.&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;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas]]. Notably also the difference between five [[64/63|archytasmas]] (64/63) to the [[19-comma]], five [[Aberschisma|aberschismas]] to the [[magic comma]], and thus splits the [[tritave]] into 5 intervals, each equated to 5103/4096.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>DisasterBlaster</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=234736&amp;oldid=prev</id>
		<title>DisasterBlaster at 17:15, 27 July 2026</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=234736&amp;oldid=prev"/>
		<updated>2026-07-27T17:15:19Z</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 17:15, 27 July 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-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;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas]]. Notably also the difference between five [[64/63|archytasmas]] (64/63) to the [[19-comma]], &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and &lt;/del&gt;the [[magic comma]] &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;to five &lt;/del&gt;[[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Aberschisma|aberschismas&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;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas]]. Notably also the difference between five [[64/63|archytasmas]] (64/63) to the [[19-comma]], &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;five [[Aberschisma|aberschismas]] to &lt;/ins&gt;the [[magic comma]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, and thus splits the &lt;/ins&gt;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;tritave&lt;/ins&gt;]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;into 5 intervals, each thus equated to 5103/4096&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>DisasterBlaster</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=234669&amp;oldid=prev</id>
		<title>DisasterBlaster at 22:41, 26 July 2026</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=234669&amp;oldid=prev"/>
		<updated>2026-07-26T22:41:11Z</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 22:41, 26 July 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-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;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas]].&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;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]. Notably also the difference between five [[64/63|archytasmas]] (64/63) to the [[19-comma]], and the [[magic comma]] to five [[Aberschisma|aberschismas&lt;/ins&gt;]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>DisasterBlaster</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=234668&amp;oldid=prev</id>
		<title>DisasterBlaster: Created page with &quot;1153470752371588581/1152921504606846976, [-60 29 0 5&gt; Pentarchisma. Tempering this out equates five Archytas fifths (32/21) to three octaves and two Pythagorean commas.&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:DisasterBlaster/Sandbox&amp;diff=234668&amp;oldid=prev"/>
		<updated>2026-07-26T22:36:29Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five &lt;a href=&quot;/w/32/21&quot; title=&quot;32/21&quot;&gt;Archytas fifths&lt;/a&gt; (32/21) to three octaves and two &lt;a href=&quot;/w/Pythagorean_comma&quot; title=&quot;Pythagorean comma&quot;&gt;Pythagorean commas&lt;/a&gt;.&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;1153470752371588581/1152921504606846976, [-60 29 0 5&amp;gt; Pentarchisma. Tempering this out equates five [[32/21|Archytas fifths]] (32/21) to three octaves and two [[Pythagorean comma|Pythagorean commas]].&lt;/div&gt;</summary>
		<author><name>DisasterBlaster</name></author>
	</entry>
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