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	<title>Talk:Kite&#039;s color notation/Temperament names - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Talk%3AKite%27s_color_notation%2FTemperament_names"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;action=history"/>
	<updated>2026-09-03T01:33:00Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=207572&amp;oldid=prev</id>
		<title>TallKite: TallKite moved page Talk:Color notation/Temperament names to Talk:Kite&#039;s color notation/Temperament names: Editor VectorGraphics has repeatedly edited pages I&#039;ve written about my own research and inserted misinformation. On discord he is openly hostile to me. This move is necessary to avoid a toxic work environment for me.</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=207572&amp;oldid=prev"/>
		<updated>2025-08-20T00:45:12Z</updated>

		<summary type="html">&lt;p&gt;TallKite moved page &lt;a href=&quot;/w/Talk:Color_notation/Temperament_names&quot; class=&quot;mw-redirect&quot; title=&quot;Talk:Color notation/Temperament names&quot;&gt;Talk:Color notation/Temperament names&lt;/a&gt; to &lt;a href=&quot;/w/Talk:Kite%27s_color_notation/Temperament_names&quot; title=&quot;Talk:Kite&amp;#039;s color notation/Temperament names&quot;&gt;Talk:Kite&amp;#039;s color notation/Temperament names&lt;/a&gt;: Editor VectorGraphics has repeatedly edited pages I&amp;#039;ve written about my own research and inserted misinformation. On discord he is openly hostile to me. This move is necessary to avoid a toxic work environment for me.&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;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:45, 20 August 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>TallKite</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=118125&amp;oldid=prev</id>
		<title>Fredg999: Fredg999 moved page Talk:Color notation/Temperament Names to Talk:Color notation/Temperament names: WP:NCCAPS</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=118125&amp;oldid=prev"/>
		<updated>2023-07-03T01:24:37Z</updated>

		<summary type="html">&lt;p&gt;Fredg999 moved page &lt;a href=&quot;/index.php?title=Talk:Color_notation/Temperament_Names&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Talk:Color notation/Temperament Names (page does not exist)&quot;&gt;Talk:Color notation/Temperament Names&lt;/a&gt; to &lt;a href=&quot;/w/Talk:Color_notation/Temperament_names&quot; class=&quot;mw-redirect&quot; title=&quot;Talk:Color notation/Temperament names&quot;&gt;Talk:Color notation/Temperament names&lt;/a&gt;: WP:NCCAPS&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:24, 3 July 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fredg999</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78900&amp;oldid=prev</id>
		<title>Cmloegcmluin: /* both &quot;contorsion&quot; and &quot;torsion&quot;? */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78900&amp;oldid=prev"/>
		<updated>2021-10-01T14:54:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;both &amp;quot;contorsion&amp;quot; and &amp;quot;torsion&amp;quot;?&lt;/span&gt;&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 14:54, 1 October 2021&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-l14&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&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;::: I will read your articles when I get a chance. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 01:46, 30 September 2021 (UTC)&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;::: I will read your articles when I get a chance. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 01:46, 30 September 2021 (UTC)&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;:::: This conversation moved here: [[User_talk:TallKite#having_torsion_vs._being_enfactored]] --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 14:54, 1 October 2021 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Cmloegcmluin</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78839&amp;oldid=prev</id>
		<title>TallKite: /* both &quot;contorsion&quot; and &quot;torsion&quot;? */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78839&amp;oldid=prev"/>
		<updated>2021-09-30T01:46:27Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;both &amp;quot;contorsion&amp;quot; and &amp;quot;torsion&amp;quot;?&lt;/span&gt;&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 01:46, 30 September 2021&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;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;:: Okay, I see the edit. I think you&amp;#039;ve misunderstood my concern, though. It probably comes as a surprise because it runs counter to prevailing thinking about this topic. But Dave Keenan and I did a ton of research and discussion on this recently and we&amp;#039;ve come to the conclusion that temperaments &amp;#039;&amp;#039;cannot have torsion&amp;#039;&amp;#039;. It is not a problem to avoid, but an impossibility. Certainly, you can take a comma like {{vector|-4 4 -1}} and multiply it by 2 to get {{vector|-8 8 -2}}. Our point is that while that has an effect on periodicity blocks, it has no effect on temperaments, because tempering out {{vector|-8 8 -2}} implies tempering out {{vector|-4 4 -1}}. On the other hand, temperaments &amp;#039;&amp;#039;can&amp;#039;&amp;#039; have &amp;#039;&amp;#039;con&amp;#039;&amp;#039;torsion, because {{vector|24 38 56}} does mean something musically different in RTT than {{vector|12 19 38}}; however, because temperaments can&amp;#039;t have torsion, we don&amp;#039;t think it makes sense to call this effect &amp;quot;contorsion&amp;quot;; we call it &amp;quot;enfactoring&amp;quot; instead. Actually, the section of my new page I linked you to in the previous post may not have been the best introduction to our finding. Please try this one instead: [[Canonical_form#enfactored.2C_to_replace_contorted]] --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 01:20, 30 September 2021 (UTC)&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;:: Okay, I see the edit. I think you&amp;#039;ve misunderstood my concern, though. It probably comes as a surprise because it runs counter to prevailing thinking about this topic. But Dave Keenan and I did a ton of research and discussion on this recently and we&amp;#039;ve come to the conclusion that temperaments &amp;#039;&amp;#039;cannot have torsion&amp;#039;&amp;#039;. It is not a problem to avoid, but an impossibility. Certainly, you can take a comma like {{vector|-4 4 -1}} and multiply it by 2 to get {{vector|-8 8 -2}}. Our point is that while that has an effect on periodicity blocks, it has no effect on temperaments, because tempering out {{vector|-8 8 -2}} implies tempering out {{vector|-4 4 -1}}. On the other hand, temperaments &amp;#039;&amp;#039;can&amp;#039;&amp;#039; have &amp;#039;&amp;#039;con&amp;#039;&amp;#039;torsion, because {{vector|24 38 56}} does mean something musically different in RTT than {{vector|12 19 38}}; however, because temperaments can&amp;#039;t have torsion, we don&amp;#039;t think it makes sense to call this effect &amp;quot;contorsion&amp;quot;; we call it &amp;quot;enfactoring&amp;quot; instead. Actually, the section of my new page I linked you to in the previous post may not have been the best introduction to our finding. Please try this one instead: [[Canonical_form#enfactored.2C_to_replace_contorted]] --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 01:20, 30 September 2021 (UTC)&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;::: I totally agree about torsion. Been thinking that way for years. You can&#039;t hear periodicity blocks! Someone explained to me once that it&#039;s mathematically possible to temper the two {{vector|-4 4 -1}}&#039;s differently, but that&#039;s silly. That would be an irregular temperament, but the &quot;R&quot; in RTT means regular. &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;&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;::: I agree about contorsion too. Contorsion is like saying that all 12edo music is really in 24edo, but half the notes don&#039;t happen to get used. :)&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;&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;::: As for this article, sure, torsion in the comma list (in the sense that the pivot product is bigger than it needs to be) is not at all a problem musically or mathematically. Rule #2 says to avoid torsion only as a means to getting a canonical name for the temperament.&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;&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;::: I will read your articles when I get a chance. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 01:46, 30 September 2021 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>TallKite</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78837&amp;oldid=prev</id>
		<title>Cmloegcmluin at 01:20, 30 September 2021</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78837&amp;oldid=prev"/>
		<updated>2021-09-30T01:20:44Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&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 01:20, 30 September 2021&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-l4&quot;&gt;Line 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&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;: Sorry, I didn&amp;#039;t write that passage very well. I have since edited it. I meant that having both contorsion and torsion is a problem to be avoided. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 00:59, 30 September 2021 (UTC)&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;: Sorry, I didn&amp;#039;t write that passage very well. I have since edited it. I meant that having both contorsion and torsion is a problem to be avoided. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 00:59, 30 September 2021 (UTC)&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;:: Okay, I see the edit. I think you&#039;ve misunderstood my concern, though. It probably comes as a surprise because it runs counter to prevailing thinking about this topic. But Dave Keenan and I did a ton of research and discussion on this recently and we&#039;ve come to the conclusion that temperaments &#039;&#039;cannot have torsion&#039;&#039;. It is not a problem to avoid, but an impossibility. Certainly, you can take a comma like {{vector|-4 4 -1}} and multiply it by 2 to get {{vector|-8 8 -2}}. Our point is that while that has an effect on periodicity blocks, it has no effect on temperaments, because tempering out {{vector|-8 8 -2}} implies tempering out {{vector|-4 4 -1}}. On the other hand, temperaments &#039;&#039;can&#039;&#039; have &#039;&#039;con&#039;&#039;torsion, because {{vector|24 38 56}} does mean something musically different in RTT than {{vector|12 19 38}}; however, because temperaments can&#039;t have torsion, we don&#039;t think it makes sense to call this effect &quot;contorsion&quot;; we call it &quot;enfactoring&quot; instead. Actually, the section of my new page I linked you to in the previous post may not have been the best introduction to our finding. Please try this one instead: [[Canonical_form#enfactored.2C_to_replace_contorted]] --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 01:20, 30 September 2021 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Cmloegcmluin</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78835&amp;oldid=prev</id>
		<title>TallKite: /* both &quot;contorsion&quot; and &quot;torsion&quot;? */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78835&amp;oldid=prev"/>
		<updated>2021-09-30T00:59:51Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;both &amp;quot;contorsion&amp;quot; and &amp;quot;torsion&amp;quot;?&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;
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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 00:59, 30 September 2021&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;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;I disagree with the idea that a temperament can meaningfully have both contorsion and torsion. Actually I think that torsion only applies to periodicity blocks and doesn&amp;#039;t exist for temperaments because they temper commas out. I recently published a new page here with more details: https://en.xen.wiki/w/Canonical_form#the_pathology_of_enfactoredness I&amp;#039;m interested in your thoughts on it when you get a chance. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:19, 29 September 2021 (UTC)&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;I disagree with the idea that a temperament can meaningfully have both contorsion and torsion. Actually I think that torsion only applies to periodicity blocks and doesn&amp;#039;t exist for temperaments because they temper commas out. I recently published a new page here with more details: https://en.xen.wiki/w/Canonical_form#the_pathology_of_enfactoredness I&amp;#039;m interested in your thoughts on it when you get a chance. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:19, 29 September 2021 (UTC)&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;: Sorry, I didn&#039;t write that passage very well. I have since edited it. I meant that having both contorsion and torsion is a problem to be avoided. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 00:59, 30 September 2021 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>TallKite</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78734&amp;oldid=prev</id>
		<title>Cmloegcmluin: Created page with &quot;= both &quot;contorsion&quot; and &quot;torsion&quot;? =  I disagree with the idea that a temperament can meaningfully have both contorsion and torsion. Actually I think that torsion only applies...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Kite%27s_color_notation/Temperament_names&amp;diff=78734&amp;oldid=prev"/>
		<updated>2021-09-29T19:19:21Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;= both &amp;quot;contorsion&amp;quot; and &amp;quot;torsion&amp;quot;? =  I disagree with the idea that a temperament can meaningfully have both contorsion and torsion. Actually I think that torsion only applies...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;= both &amp;quot;contorsion&amp;quot; and &amp;quot;torsion&amp;quot;? =&lt;br /&gt;
&lt;br /&gt;
I disagree with the idea that a temperament can meaningfully have both contorsion and torsion. Actually I think that torsion only applies to periodicity blocks and doesn&amp;#039;t exist for temperaments because they temper commas out. I recently published a new page here with more details: https://en.xen.wiki/w/Canonical_form#the_pathology_of_enfactoredness I&amp;#039;m interested in your thoughts on it when you get a chance. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:19, 29 September 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>Cmloegcmluin</name></author>
	</entry>
</feed>