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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Talk%3AW%C3%BCrschmidt_diesis_spiral_progression</id>
	<title>Talk:Würschmidt diesis spiral progression - 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%3AW%C3%BCrschmidt_diesis_spiral_progression"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;action=history"/>
	<updated>2026-07-05T13:42:06Z</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:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198269&amp;oldid=prev</id>
		<title>Aura: Aura moved page Talk:Wurschmidt diesis spiral progression to Talk:Würschmidt diesis spiral progression: Forgot the initial umlaut on the u with the first move</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198269&amp;oldid=prev"/>
		<updated>2025-05-31T16:33:30Z</updated>

		<summary type="html">&lt;p&gt;Aura moved page &lt;a href=&quot;/w/Talk:Wurschmidt_diesis_spiral_progression&quot; class=&quot;mw-redirect&quot; title=&quot;Talk:Wurschmidt diesis spiral progression&quot;&gt;Talk:Wurschmidt diesis spiral progression&lt;/a&gt; to &lt;a href=&quot;/w/Talk:W%C3%BCrschmidt_diesis_spiral_progression&quot; title=&quot;Talk:Würschmidt diesis spiral progression&quot;&gt;Talk:Würschmidt diesis spiral progression&lt;/a&gt;: Forgot the initial umlaut on the u with the first move&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 16:33, 31 May 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>Aura</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198260&amp;oldid=prev</id>
		<title>Aura: Aura moved page Talk:Spiral progression to Talk:Wurschmidt diesis spiral progression: The new title better captures the essence of this progression</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198260&amp;oldid=prev"/>
		<updated>2025-05-31T16:06:23Z</updated>

		<summary type="html">&lt;p&gt;Aura moved page &lt;a href=&quot;/w/Talk:Spiral_progression&quot; title=&quot;Talk:Spiral progression&quot;&gt;Talk:Spiral progression&lt;/a&gt; to &lt;a href=&quot;/w/Talk:Wurschmidt_diesis_spiral_progression&quot; class=&quot;mw-redirect&quot; title=&quot;Talk:Wurschmidt diesis spiral progression&quot;&gt;Talk:Wurschmidt diesis spiral progression&lt;/a&gt;: The new title better captures the essence of this progression&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 16:06, 31 May 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>Aura</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198214&amp;oldid=prev</id>
		<title>Aura: /* What is this */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198214&amp;oldid=prev"/>
		<updated>2025-05-31T05:41:38Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;What is this&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 05:41, 31 May 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-l10&quot;&gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&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;:: After doing a little math to check myself, it seems I stand corrected.  It now seems that spiral progressions only exist where the ~128/125 is tempered to one third of ~16/15 by means of the the comma 393216/390625 being tempered out.  Sorry for my erroneous assumptions! --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:16, 31 May 2025 (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;:: After doing a little math to check myself, it seems I stand corrected.  It now seems that spiral progressions only exist where the ~128/125 is tempered to one third of ~16/15 by means of the the comma 393216/390625 being tempered out.  Sorry for my erroneous assumptions! --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:16, 31 May 2025 (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;::: Just double checked my math again, and this type of spiral progression also works in 34edo, which also tempers out the wurschmidt comma.  I&#039;m starting to wonder if there are other types of spiral progression, however, seeing as it does in fact seem that spiral progressions in general are connected to ~16/15 being divided by three.  Regardless, this page should probably be renamed &quot;Wurschmidt spiral progression&quot; because this type of spiral progression is one of the defining progressions of wurschmidt temperament. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:41, 31 May 2025 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Aura</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198212&amp;oldid=prev</id>
		<title>Aura: /* What is this */Correction</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198212&amp;oldid=prev"/>
		<updated>2025-05-31T05:16:28Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;What is this: &lt;/span&gt;Correction&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 05:16, 31 May 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-l8&quot;&gt;Line 8:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 8:&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 think that spiral progression is a generic thing and this page lists a specific type of it.  Other examples of spiral progressions show up in, for instance, 159edo using 5\159 as the interval in question.  Suffice to say that spiral progressions are a specific type of progression that enables you to modulate downwards or upwards by an interval that&amp;#039;s approximately equal to one third of a ~16/15 interval, and 31edo just so happens to provide a decent example of it.  Does this make sense?  Regardless, this is a musical composition technique, so I would think it relevant. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:40, 31 May 2025 (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 think that spiral progression is a generic thing and this page lists a specific type of it.  Other examples of spiral progressions show up in, for instance, 159edo using 5\159 as the interval in question.  Suffice to say that spiral progressions are a specific type of progression that enables you to modulate downwards or upwards by an interval that&amp;#039;s approximately equal to one third of a ~16/15 interval, and 31edo just so happens to provide a decent example of it.  Does this make sense?  Regardless, this is a musical composition technique, so I would think it relevant. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:40, 31 May 2025 (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;:: After doing a little math to check myself, it seems I stand corrected.  It now seems that spiral progressions only exist where the ~128/125 is tempered to one third of ~16/15 by means of the the comma 393216/390625 being tempered out.  Sorry for my erroneous assumptions! --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:16, 31 May 2025 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Aura</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198206&amp;oldid=prev</id>
		<title>Aura: /* What is this */Clarification</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198206&amp;oldid=prev"/>
		<updated>2025-05-31T04:41:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;What is this: &lt;/span&gt;Clarification&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;
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				&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 04:41, 31 May 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-l7&quot;&gt;Line 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&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;– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 16:36, 30 May 2025 (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;– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 16:36, 30 May 2025 (UTC)&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; 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;: I think that spiral progression is a generic thing and this page lists a specific type of it.  Other examples of spiral progressions show up in, for instance, 159edo using 5\159 as the interval in question.  Suffice to say that spiral progressions are a specific type of progression that enables you to modulate downwards or upwards by an interval that&#039;s approximately equal to one third of a ~16/15 interval, and 31edo just so happens to provide a decent example of it.  Does this make sense?  Regardless, this is a musical &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;compositional &lt;/del&gt;technique &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that should be noted&lt;/del&gt;. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:40, 31 May 2025 (UTC)&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;: I think that spiral progression is a generic thing and this page lists a specific type of it.  Other examples of spiral progressions show up in, for instance, 159edo using 5\159 as the interval in question.  Suffice to say that spiral progressions are a specific type of progression that enables you to modulate downwards or upwards by an interval that&#039;s approximately equal to one third of a ~16/15 interval, and 31edo just so happens to provide a decent example of it.  Does this make sense?  Regardless, this is a musical &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;composition &lt;/ins&gt;technique&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, so I would think it relevant&lt;/ins&gt;. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:40, 31 May 2025 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Aura</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198205&amp;oldid=prev</id>
		<title>Aura: /* What is this */Fleshed out answer more</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198205&amp;oldid=prev"/>
		<updated>2025-05-31T04:40:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;What is this: &lt;/span&gt;Fleshed out answer more&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;
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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 04:40, 31 May 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-l7&quot;&gt;Line 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&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;– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 16:36, 30 May 2025 (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;– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 16:36, 30 May 2025 (UTC)&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; 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;: I think that spiral progression is a generic thing and this page lists a specific type of it.  Other examples of spiral progressions show up in, for instance, 159edo using 5\159 as the interval in question.  Suffice to say that spiral progressions are a specific type of progression that enables you to modulate downwards by an interval that&#039;s approximately equal to one third of a ~16/15 interval, and 31edo just so happens to provide a decent example of it.  Does this make sense? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;37&lt;/del&gt;, 31 May 2025 (UTC)&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;: I think that spiral progression is a generic thing and this page lists a specific type of it.  Other examples of spiral progressions show up in, for instance, 159edo using 5\159 as the interval in question.  Suffice to say that spiral progressions are a specific type of progression that enables you to modulate downwards &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;or upwards &lt;/ins&gt;by an interval that&#039;s approximately equal to one third of a ~16/15 interval, and 31edo just so happens to provide a decent example of it.  Does this make sense? &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; Regardless, this is a musical compositional technique that should be noted. &lt;/ins&gt;--[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;40&lt;/ins&gt;, 31 May 2025 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Aura</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198204&amp;oldid=prev</id>
		<title>Aura: /* What is this */Potential answer</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198204&amp;oldid=prev"/>
		<updated>2025-05-31T04:37:23Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;What is this: &lt;/span&gt;Potential answer&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 04:37, 31 May 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;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;– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 16:36, 30 May 2025 (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;– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 16:36, 30 May 2025 (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 think that spiral progression is a generic thing and this page lists a specific type of it.  Other examples of spiral progressions show up in, for instance, 159edo using 5\159 as the interval in question.  Suffice to say that spiral progressions are a specific type of progression that enables you to modulate downwards by an interval that&#039;s approximately equal to one third of a ~16/15 interval, and 31edo just so happens to provide a decent example of it.  Does this make sense? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:37, 31 May 2025 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Aura</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198174&amp;oldid=prev</id>
		<title>Sintel: Created page with &quot;== What is this ==  This page is linked from 31edo main article. It&#039;s unclear what the point of this is to me. Is a sprial progression a generic thing and the given progression is an example of it? Or is this exact progression called &#039;&#039;the&#039;&#039; spiral progression? I feel like it&#039;s not high enough importance to be linked from the 31edo page.  ~~~~&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:W%C3%BCrschmidt_diesis_spiral_progression&amp;diff=198174&amp;oldid=prev"/>
		<updated>2025-05-30T16:36:36Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== What is this ==  This page is linked from 31edo main article. It&amp;#039;s unclear what the point of this is to me. Is a sprial progression a generic thing and the given progression is an example of it? Or is this exact progression called &amp;#039;&amp;#039;the&amp;#039;&amp;#039; spiral progression? I feel like it&amp;#039;s not high enough importance to be linked from the 31edo page.  ~~~~&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== What is this ==&lt;br /&gt;
&lt;br /&gt;
This page is linked from 31edo main article. It&amp;#039;s unclear what the point of this is to me.&lt;br /&gt;
Is a sprial progression a generic thing and the given progression is an example of it? Or is this exact progression called &amp;#039;&amp;#039;the&amp;#039;&amp;#039; spiral progression?&lt;br /&gt;
I feel like it&amp;#039;s not high enough importance to be linked from the 31edo page.&lt;br /&gt;
&lt;br /&gt;
– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 16:36, 30 May 2025 (UTC)&lt;/div&gt;</summary>
		<author><name>Sintel</name></author>
	</entry>
</feed>