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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Wolf_interval</id>
	<title>Wolf interval - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Wolf_interval"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Wolf_interval&amp;action=history"/>
	<updated>2026-06-23T04:55:12Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=Wolf_interval&amp;diff=146453&amp;oldid=prev</id>
		<title>FloraC: -typo; +see also</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Wolf_interval&amp;diff=146453&amp;oldid=prev"/>
		<updated>2024-06-20T13:40:58Z</updated>

		<summary type="html">&lt;p&gt;-typo; +see also&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 13:40, 20 June 2024&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-l3&quot;&gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&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;A &amp;#039;&amp;#039;&amp;#039;wolf interval&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;wolf&amp;#039;&amp;#039;&amp;#039; is an [[interval]] that does not come across as [[just]]. Specifically, a wolf fifth in a 12-tone [[chromatic scale]] is the breaking point in the [[circle of fifths]] where it is technically a diminished sixth. By extension, the wolf interval has the following senses:  &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;A &amp;#039;&amp;#039;&amp;#039;wolf interval&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;wolf&amp;#039;&amp;#039;&amp;#039; is an [[interval]] that does not come across as [[just]]. Specifically, a wolf fifth in a 12-tone [[chromatic scale]] is the breaking point in the [[circle of fifths]] where it is technically a diminished sixth. By extension, the wolf interval has the following senses:  &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;# An interval which is technically not what it appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;intepretations &lt;/del&gt;– in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout.  &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;# An interval which is technically not what it appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;interpretations &lt;/ins&gt;– in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout.  &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;div&gt;# An interval which impresses the listener as [[discordance]], and/or sounds like an out-of-tune other interval, due to its sheer [[complexity]] and/or lack of proper harmonic context. For example, [[40/27]] is a wolf fifth that occurs in 5-limit just scales like [[zarlino]]. This is more often known as the &amp;#039;&amp;#039;impure&amp;#039;&amp;#039; or &amp;#039;&amp;#039;imperfect fifth&amp;#039;&amp;#039;. Historically, it gave rise to the use of [[meantone]], which moderates its effect by distributing the [[syntonic comma]] among four fifths.  &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;# An interval which impresses the listener as [[discordance]], and/or sounds like an out-of-tune other interval, due to its sheer [[complexity]] and/or lack of proper harmonic context. For example, [[40/27]] is a wolf fifth that occurs in 5-limit just scales like [[zarlino]]. This is more often known as the &amp;#039;&amp;#039;impure&amp;#039;&amp;#039; or &amp;#039;&amp;#039;imperfect fifth&amp;#039;&amp;#039;. Historically, it gave rise to the use of [[meantone]], which moderates its effect by distributing the [[syntonic comma]] among four fifths.  &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;== See also ==&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://tonalsoft.com/enc/w/wolf.aspx Tonalsoft Encyclopedia | &#039;&#039;Wolf&#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;[[Category:Terms]]&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;[[Category:Terms]]&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;div&gt;[[Category:Psychoacoustics]]&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;[[Category:Psychoacoustics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>FloraC</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Wolf_interval&amp;diff=116901&amp;oldid=prev</id>
		<title>FloraC: Fix a grammar issue and +link</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Wolf_interval&amp;diff=116901&amp;oldid=prev"/>
		<updated>2023-06-16T06:48:24Z</updated>

		<summary type="html">&lt;p&gt;Fix a grammar issue and +link&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;
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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 06:48, 16 June 2023&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-l3&quot;&gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&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;A &amp;#039;&amp;#039;&amp;#039;wolf interval&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;wolf&amp;#039;&amp;#039;&amp;#039; is an [[interval]] that does not come across as [[just]]. Specifically, a wolf fifth in a 12-tone [[chromatic scale]] is the breaking point in the [[circle of fifths]] where it is technically a diminished sixth. By extension, the wolf interval has the following senses:  &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;A &amp;#039;&amp;#039;&amp;#039;wolf interval&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;wolf&amp;#039;&amp;#039;&amp;#039; is an [[interval]] that does not come across as [[just]]. Specifically, a wolf fifth in a 12-tone [[chromatic scale]] is the breaking point in the [[circle of fifths]] where it is technically a diminished sixth. By extension, the wolf interval has the following senses:  &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;# An interval which is technically &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;different from &lt;/del&gt;what appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal intepretations – in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout.  &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;# An interval which is technically &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;not &lt;/ins&gt;what &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;it &lt;/ins&gt;appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal intepretations – in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout.  &lt;/div&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;# An interval which impresses the listener as [[discordance]], and/or sounds like an out-of-tune other interval, due to its sheer complexity and/or lack of proper harmonic context. For example, [[40/27]] is a wolf fifth that occurs in 5-limit just scales like [[zarlino]]. This is more often known as the &#039;&#039;impure&#039;&#039; or &#039;&#039;imperfect fifth&#039;&#039;. Historically, it gave rise to the use of [[meantone]], which moderates its effect by distributing the [[syntonic comma]] among four fifths.  &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;# An interval which impresses the listener as [[discordance]], and/or sounds like an out-of-tune other interval, due to its sheer &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;complexity&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;and/or lack of proper harmonic context. For example, [[40/27]] is a wolf fifth that occurs in 5-limit just scales like [[zarlino]]. This is more often known as the &#039;&#039;impure&#039;&#039; or &#039;&#039;imperfect fifth&#039;&#039;. Historically, it gave rise to the use of [[meantone]], which moderates its effect by distributing the [[syntonic comma]] among four fifths.  &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;[[Category:Terms]]&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;[[Category:Terms]]&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;div&gt;[[Category:Psychoacoustics]]&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;[[Category:Psychoacoustics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>FloraC</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Wolf_interval&amp;diff=116900&amp;oldid=prev</id>
		<title>FloraC: Created page with &quot;{{Wikipedia}}  A &#039;&#039;&#039;wolf interval&#039;&#039;&#039; or &#039;&#039;&#039;wolf&#039;&#039;&#039; is an interval that does not come across as just. Specifically, a wolf fifth in a 12-tone chromatic scale is the...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Wolf_interval&amp;diff=116900&amp;oldid=prev"/>
		<updated>2023-06-16T06:45:35Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Wikipedia}}  A &amp;#039;&amp;#039;&amp;#039;wolf interval&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;wolf&amp;#039;&amp;#039;&amp;#039; is an &lt;a href=&quot;/w/Interval&quot; title=&quot;Interval&quot;&gt;interval&lt;/a&gt; that does not come across as &lt;a href=&quot;/w/Just&quot; class=&quot;mw-redirect&quot; title=&quot;Just&quot;&gt;just&lt;/a&gt;. Specifically, a wolf fifth in a 12-tone &lt;a href=&quot;/w/Chromatic_scale&quot; class=&quot;mw-redirect&quot; title=&quot;Chromatic scale&quot;&gt;chromatic scale&lt;/a&gt; is the...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Wikipedia}}&lt;br /&gt;
&lt;br /&gt;
A &amp;#039;&amp;#039;&amp;#039;wolf interval&amp;#039;&amp;#039;&amp;#039; or &amp;#039;&amp;#039;&amp;#039;wolf&amp;#039;&amp;#039;&amp;#039; is an [[interval]] that does not come across as [[just]]. Specifically, a wolf fifth in a 12-tone [[chromatic scale]] is the breaking point in the [[circle of fifths]] where it is technically a diminished sixth. By extension, the wolf interval has the following senses: &lt;br /&gt;
&lt;br /&gt;
# An interval which is technically different from what appears to be on the keyboard. In [[meantone12|meantone[12]]], there are four such major thirds – unless we expect septimal intepretations – in addition to the wolf fifth. This is an artifact in keyboard design and can be solved by adopting an isomorphic keyboard layout. &lt;br /&gt;
# An interval which impresses the listener as [[discordance]], and/or sounds like an out-of-tune other interval, due to its sheer complexity and/or lack of proper harmonic context. For example, [[40/27]] is a wolf fifth that occurs in 5-limit just scales like [[zarlino]]. This is more often known as the &amp;#039;&amp;#039;impure&amp;#039;&amp;#039; or &amp;#039;&amp;#039;imperfect fifth&amp;#039;&amp;#039;. Historically, it gave rise to the use of [[meantone]], which moderates its effect by distributing the [[syntonic comma]] among four fifths. &lt;br /&gt;
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[[Category:Psychoacoustics]]&lt;/div&gt;</summary>
		<author><name>FloraC</name></author>
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