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	<title>Talk:25/16 - Revision history</title>
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	<updated>2026-07-01T10:09:43Z</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:25/16&amp;diff=211380&amp;oldid=prev</id>
		<title>Fredg999: /* Ptolemismic chord? */ Re</title>
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		<updated>2025-09-28T05:07:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Ptolemismic chord?: &lt;/span&gt; Re&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 05:07, 28 September 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-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;: For what it&amp;#039;s worth, I legit think that both 99/64 and 25/16 are dissonances.  Lower odd limit does not automatically translate to consonance in my ear to be honest.  --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 03:37, 28 September 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;: For what it&amp;#039;s worth, I legit think that both 99/64 and 25/16 are dissonances.  Lower odd limit does not automatically translate to consonance in my ear to be honest.  --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 03:37, 28 September 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;: I think Overthink&#039;s point is that you need to consider the odd limit because of the definition of essentially tempered chords, and you need to show that the temperament effectively lowers the chord&#039;s odd limit (by providing equivalences between intervals, which expands the consonance set). I agree that it doesn&#039;t make sense in this case, because 99/64 wasn&#039;t a target interval to start with, and it doesn&#039;t lower the odd limit either. Therefore, this doesn&#039;t seem to be an essentially tempered chord. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 05:07, 28 September 2025 (UTC)&lt;/ins&gt;&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:25/16&amp;diff=211359&amp;oldid=prev</id>
		<title>Aura: /* Ptolemismic chord? */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:25/16&amp;diff=211359&amp;oldid=prev"/>
		<updated>2025-09-28T03:37:31Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Ptolemismic chord?&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 03:37, 28 September 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-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;If 1-5/4-25/16 is a ptolemismic chord, then 99/64 would be considered a consonance. However, 25/16 has a lower odd limit than 99/64, and should therefore also be considered a consonance if 99/64 is considered one.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 03:21, 28 September 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;If 1-5/4-25/16 is a ptolemismic chord, then 99/64 would be considered a consonance. However, 25/16 has a lower odd limit than 99/64, and should therefore also be considered a consonance if 99/64 is considered one.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 03:21, 28 September 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;: For what it&#039;s worth, I legit think that both 99/64 and 25/16 are dissonances.  Lower odd limit does not automatically translate to consonance in my ear to be honest.  --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 03:37, 28 September 2025 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>Aura</name></author>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:25/16&amp;diff=211350&amp;oldid=prev</id>
		<title>Overthink: /* Ptolemismic chord? */ new section</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:25/16&amp;diff=211350&amp;oldid=prev"/>
		<updated>2025-09-28T03:21:52Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Ptolemismic chord?: &lt;/span&gt; new section&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Ptolemismic chord? ==&lt;br /&gt;
&lt;br /&gt;
If 1-5/4-25/16 is a ptolemismic chord, then 99/64 would be considered a consonance. However, 25/16 has a lower odd limit than 99/64, and should therefore also be considered a consonance if 99/64 is considered one.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 03:21, 28 September 2025 (UTC)&lt;/div&gt;</summary>
		<author><name>Overthink</name></author>
	</entry>
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