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	<title>Talk:Tenney norm/WikispacesArchive - Revision history</title>
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	<updated>2026-07-31T11:58:22Z</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:Tenney_norm/WikispacesArchive&amp;diff=195048&amp;oldid=prev</id>
		<title>Sintel: Sintel moved page Talk:Tenney height/WikispacesArchive to Talk:Tenney norm/WikispacesArchive: per discussion</title>
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		<updated>2025-05-03T21:00:11Z</updated>

		<summary type="html">&lt;p&gt;Sintel moved page &lt;a href=&quot;/w/Talk:Tenney_height/WikispacesArchive&quot; class=&quot;mw-redirect&quot; title=&quot;Talk:Tenney height/WikispacesArchive&quot;&gt;Talk:Tenney height/WikispacesArchive&lt;/a&gt; to &lt;a href=&quot;/w/Talk:Tenney_norm/WikispacesArchive&quot; title=&quot;Talk:Tenney norm/WikispacesArchive&quot;&gt;Talk:Tenney norm/WikispacesArchive&lt;/a&gt;: per discussion&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 21:00, 3 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;
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		<author><name>Sintel</name></author>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Tenney_norm/WikispacesArchive&amp;diff=50318&amp;oldid=prev</id>
		<title>Xenwolf: Xenwolf moved page Talk:Tenney Height/WikispacesArchive to Talk:Tenney height/WikispacesArchive: following an earlier move of the base pages</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Tenney_norm/WikispacesArchive&amp;diff=50318&amp;oldid=prev"/>
		<updated>2020-09-26T22:59:22Z</updated>

		<summary type="html">&lt;p&gt;Xenwolf moved page &lt;a href=&quot;/w/Talk:Tenney_Height/WikispacesArchive&quot; class=&quot;mw-redirect&quot; title=&quot;Talk:Tenney Height/WikispacesArchive&quot;&gt;Talk:Tenney Height/WikispacesArchive&lt;/a&gt; to &lt;a href=&quot;/w/Talk:Tenney_height/WikispacesArchive&quot; class=&quot;mw-redirect&quot; title=&quot;Talk:Tenney height/WikispacesArchive&quot;&gt;Talk:Tenney height/WikispacesArchive&lt;/a&gt;: following an earlier move of the base pages&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 22:59, 26 September 2020&lt;/td&gt;
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		<author><name>Xenwolf</name></author>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Tenney_norm/WikispacesArchive&amp;diff=34986&amp;oldid=prev</id>
		<title>Mike Battaglia: 1 revision imported: Moving archived Wikispaces discussion to subpage</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Tenney_norm/WikispacesArchive&amp;diff=34986&amp;oldid=prev"/>
		<updated>2018-10-01T18:01:49Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported: Moving archived Wikispaces discussion to subpage&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;Revision as of 18:01, 1 October 2018&lt;/td&gt;
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&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Mike Battaglia</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Tenney_norm/WikispacesArchive&amp;diff=34985&amp;oldid=prev</id>
		<title>Wikispaces&gt;FREEZE at 18:01, 1 October 2018</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Tenney_norm/WikispacesArchive&amp;diff=34985&amp;oldid=prev"/>
		<updated>2018-10-01T18:01:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{WSArchiveHeader}}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Contradiction ==&lt;br /&gt;
http://www.plainsound.org/pdfs/JC&amp;amp;amp;ToH.pdf gives Tenney&amp;#039;s &amp;quot;harmonic distance&amp;quot; as&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul class=&amp;quot;quotelist&amp;quot;&amp;gt;&amp;lt;li&amp;gt;HD(fa, fb) ∝ log(a) + log(b) = log(ab)&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where a/b is the frequency ratio fa/fb in simplified form:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul class=&amp;quot;quotelist&amp;quot;&amp;gt;&amp;lt;li&amp;gt;a = fa /gcd(fa, fb), b = fb /gcd(fa, fb), and a ≥ b&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
http://lumma.org/tuning/faq/#heights  defines it as sqrt(n*d), which is not the same.&lt;br /&gt;
&lt;br /&gt;
sqrt(100*7) = 26.45&lt;br /&gt;
&lt;br /&gt;
log2(100*7) =  9.45&lt;br /&gt;
&lt;br /&gt;
- &amp;#039;&amp;#039;&amp;#039;Omegatron&amp;#039;&amp;#039;&amp;#039; September 11, 2014, 07:33:46 AM UTC-0700&lt;br /&gt;
----&lt;br /&gt;
Tenney *harmonic distance* is not Tenney *height*, which is the topic of this page. My FAQ defines Tenney height as a*b. It says Tenney height is *generalized* to geomean(a*b*c...).&lt;br /&gt;
&lt;br /&gt;
On this wiki, a*b is called Benedetti height. The name was changed after my FAQ was written, since Benedetti had priority.&lt;br /&gt;
&lt;br /&gt;
- &amp;#039;&amp;#039;&amp;#039;clumma&amp;#039;&amp;#039;&amp;#039; February 06, 2015, 08:19:12 PM UTC-0800&lt;br /&gt;
----&lt;/div&gt;</summary>
		<author><name>Wikispaces&gt;FREEZE</name></author>
	</entry>
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