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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User%3ACritDeathX%2FSam%27s_Neo-Gothic_Comma</id>
	<title>User:CritDeathX/Sam&#039;s Neo-Gothic Comma - Revision history</title>
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	<updated>2026-06-10T23:16:51Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://en.xen.wiki/index.php?title=User:CritDeathX/Sam%27s_Neo-Gothic_Comma&amp;diff=48198&amp;oldid=prev</id>
		<title>CritDeathX: /* Temperaments */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:CritDeathX/Sam%27s_Neo-Gothic_Comma&amp;diff=48198&amp;oldid=prev"/>
		<updated>2020-08-17T01:09:51Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Temperaments&lt;/span&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 01:09, 17 August 2020&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-l27&quot;&gt;Line 27:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 27:&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;lt;1 6 6 12 -5 14], &amp;lt;0 -12 -10 -25 23 -28] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=87_19p&amp;amp;limit=13&amp;amp;tuning=po Clyde]&amp;#039;&amp;#039;&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;lt;1 6 6 12 -5 14], &amp;lt;0 -12 -10 -25 23 -28] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=87_19p&amp;amp;limit=13&amp;amp;tuning=po Clyde]&amp;#039;&amp;#039;&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;&amp;lt;1 1 0 2 3 3], &amp;lt; 0 5 20 7 4 6] &#039;&#039;Neo-Gothic&#039;&#039;&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;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;=== Rank-3 ===&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;=== Rank-3 ===&lt;/div&gt;&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-l46&quot;&gt;Line 46:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&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;http://www.microtonalsoftware.com/scale-tree.html?left=3&amp;amp;right=8&amp;amp;rr=1200&amp;amp;ioi=441.3634 &amp;#039;&amp;#039;Clyde&amp;#039;&amp;#039;&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;http://www.microtonalsoftware.com/scale-tree.html?left=3&amp;amp;right=8&amp;amp;rr=1200&amp;amp;ioi=441.3634 &amp;#039;&amp;#039;Clyde&amp;#039;&amp;#039;&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;http://www.microtonalsoftware.com/scale-tree.html?left=8&amp;amp;right=9&amp;amp;rr=1200&amp;amp;ioi=138.718618248 &#039;&#039;Neo-Gothic&#039;&#039;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>CritDeathX</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:CritDeathX/Sam%27s_Neo-Gothic_Comma&amp;diff=48147&amp;oldid=prev</id>
		<title>CritDeathX: haha comma go brrr</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:CritDeathX/Sam%27s_Neo-Gothic_Comma&amp;diff=48147&amp;oldid=prev"/>
		<updated>2020-08-12T01:49:05Z</updated>

		<summary type="html">&lt;p&gt;haha comma go brrr&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Introduction ==&lt;br /&gt;
So, if you come over to my [[User:CritDeathX/Sam&amp;#039;s 17-note Well Temperament|17-note well temperament]] thingie, you may noticed that I listed a comma in the &amp;#039;&amp;#039;Little Observations&amp;#039;&amp;#039; category. Making this into an actual ratio, its 2685546875/2675441664, and its the difference between six [[25/24]]&amp;lt;nowiki/&amp;gt;s and a [[14/11]], one of 6.52659708133c. Considering I never seen this comma anywhere else on the wiki, I shall take it upon myself and name it the neo-gothic comma, since 14/11 is a neo-gothic M3.&lt;br /&gt;
&lt;br /&gt;
Now we look at the temperaments that take out this comma, aside from my own temperament.&lt;br /&gt;
&lt;br /&gt;
== Temperaments ==&lt;br /&gt;
&lt;br /&gt;
=== Rank-1 ===&lt;br /&gt;
&amp;lt;68 108 158 191 235] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=68&amp;amp;limit=11&amp;amp;key=68_108_158_191_235 68p]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;87 138 202 244 301] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=87&amp;amp;limit=11&amp;amp;key=87_138_202_244_301 87]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;103 163 239 289 356] [http://x31eq.com/cgi-bin/rt.cgi?ets=103&amp;amp;limit=11&amp;amp;key=103_163_239_289_356 103]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;121 192 281 340 419] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=121&amp;amp;limit=11&amp;amp;key=121_192_281_340_419 121]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;190 301 441 533 657] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=190&amp;amp;limit=11&amp;amp;key=190_301_441_533_657 190]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
=== Rank-2 ===&lt;br /&gt;
&amp;lt;1 14 6 -28 3], &amp;lt;0 -27 -8 67 1] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=224_87&amp;amp;limit=11&amp;amp;tuning=po Emkay]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;1 16 8 -2 17], &amp;lt;0 -33 -13 11 -31] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=87_190&amp;amp;limit=11&amp;amp;tuning=po Widefourth]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;2 7 7 23 19], &amp;lt;0 -13 -8 -59 -41] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=224_190&amp;amp;limit=11&amp;amp;tuning=po Quatracot]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;1 0 1 -12 -5], &amp;lt;0 6 5 56 32] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=87_121&amp;amp;limit=11&amp;amp;tuning=po Metakleismic]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;1 6 6 12 -5 14], &amp;lt;0 -12 -10 -25 23 -28] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=87_19p&amp;amp;limit=13&amp;amp;tuning=po Clyde]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
=== Rank-3 ===&lt;br /&gt;
&amp;lt;1 0 0 -6 13], &amp;lt;0 1 1 3 -3], &amp;lt;0 0 2 11 -13] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=171e_87_190&amp;amp;limit=11&amp;amp;tuning=po 171e &amp;amp; 87 &amp;amp; 190]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;1 0 0 16 35], &amp;lt;0 1 0 -1 5], &amp;lt;0 0 1 -5 -17] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=171e_224_87&amp;amp;limit=11&amp;amp;tuning=po 171e &amp;amp; 224 &amp;amp; 87]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
=== Rank-4 ===&lt;br /&gt;
&amp;lt;1 0 0 0 19], &amp;lt;0 1 0 0 6], &amp;lt;0 0 1 0 -12], &amp;lt;0 0 0 1 1] &amp;#039;&amp;#039;[http://x31eq.com/cgi-bin/rt.cgi?ets=171e_190_224_87&amp;amp;limit=11&amp;amp;tuning=po 171e &amp;amp; 190 &amp;amp; 224 &amp;amp; 87]&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
== Scale Tree Graphs For Rank-2 Temperaments ==&lt;br /&gt;
http://www.microtonalsoftware.com/scale-tree.html?left=11&amp;amp;right=13&amp;amp;rr=1200&amp;amp;ioi=551.7746 &amp;#039;&amp;#039;Emkay&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
http://www.microtonalsoftware.com/scale-tree.html?left=7&amp;amp;right=9&amp;amp;rr=1200&amp;amp;ioi=524.2098 &amp;#039;&amp;#039;Widefourth&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
http://www.microtonalsoftware.com/scale-tree.html?left=7&amp;amp;right=10&amp;amp;rr=1200&amp;amp;ioi=176.8061 &amp;#039;&amp;#039;Quatracot&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
http://www.microtonalsoftware.com/scale-tree.html?left=4&amp;amp;right=7&amp;amp;rr=1200&amp;amp;ioi=317.3111 &amp;#039;&amp;#039;Metakleismic&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
http://www.microtonalsoftware.com/scale-tree.html?left=3&amp;amp;right=8&amp;amp;rr=1200&amp;amp;ioi=441.3634 &amp;#039;&amp;#039;Clyde&amp;#039;&amp;#039;&lt;/div&gt;</summary>
		<author><name>CritDeathX</name></author>
	</entry>
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