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	<id>https://xenreference.com/wiki/index.php?action=history&amp;feed=atom&amp;title=Just-noticeable_difference</id>
	<title>Just-noticeable difference - Revision history</title>
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	<updated>2026-06-21T09:45:19Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://xenreference.com/wiki/index.php?title=Just-noticeable_difference&amp;diff=759&amp;oldid=prev</id>
		<title>Lériendil at 13:09, 15 December 2025</title>
		<link rel="alternate" type="text/html" href="https://xenreference.com/wiki/index.php?title=Just-noticeable_difference&amp;diff=759&amp;oldid=prev"/>
		<updated>2025-12-15T13:09:55Z</updated>

		<summary type="html">&lt;p&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 13:09, 15 December 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-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&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;The &#039;&#039;&#039;just-noticeable difference,&#039;&#039;&#039; about 3.5 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cents&lt;/del&gt;, is an estimation of the minimum difference in pitch that can be distinguished by the average listener. However, this number actually varies widely, from up to 20 cents in some cases (certain casual listeners) to a fraction of a cent in others (&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;especially with harmonic intervals&lt;/del&gt;). The conventional just-noticeable difference also defines an interval region of &quot;&#039;&#039;&#039;unnoticeable [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Comma|commas&lt;/del&gt;]]&#039;&#039;&#039;&quot; around the [[unison]], which are the differences between intervals that are nearly identical in pitch. An example is the [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Pythagorean tuning#Schismic and garibaldi|&lt;/del&gt;schisma]]. A [[temperament]] of an unnoticeable comma, or a temperament that is otherwise for the most part indistinguishable from just intonation, is called a microtemperament.&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;The &#039;&#039;&#039;just-noticeable difference,&#039;&#039;&#039; about 3.5 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[cent]]s&lt;/ins&gt;, is an estimation of the minimum difference in pitch that can be distinguished by the average listener. However, this number actually varies widely &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;depending on listener as well as musical context&lt;/ins&gt;, from up to 20 cents in some cases (certain casual listeners&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, for intervals and harmonies far from &quot;landmarks&quot; that boost recognizability&lt;/ins&gt;) to a fraction of a cent in others (&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in contexts that depend on very fine aspects of harmony such as ringing induced by [[DR]] and high-complexity [[JI]]&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;/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;The conventional just-noticeable difference also defines an interval region of &quot;&#039;&#039;&#039;unnoticeable [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;comma&lt;/ins&gt;]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;s&lt;/ins&gt;&#039;&#039;&#039;&quot; around the [[unison]], which are the differences between intervals that are nearly identical in pitch. An example is the [[schisma]]. A [[temperament]] of an unnoticeable comma, or a temperament that is otherwise for the most part indistinguishable from just intonation, is called a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;microtemperament&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#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;In some practices, this bound goes up to about 6 cents, which is the most precisely one is expected to intonate a pitch on certain instruments, and is a bit smaller than a [[kleisma]] (hence the kleisma&amp;#039;s significance in the context of intonation).&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;In some practices, this bound goes up to about 6 cents, which is the most precisely one is expected to intonate a pitch on certain instruments, and is a bit smaller than a [[kleisma]] (hence the kleisma&amp;#039;s significance in the context of intonation).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lériendil</name></author>
	</entry>
	<entry>
		<id>https://xenreference.com/wiki/index.php?title=Just-noticeable_difference&amp;diff=758&amp;oldid=prev</id>
		<title>Vector: Created page with &quot;The &#039;&#039;&#039;just-noticeable difference,&#039;&#039;&#039; about 3.5 cents, is an estimation of the minimum difference in pitch that can be distinguished by the average listener. However, this number actually varies widely, from up to 20 cents in some cases (certain casual listeners) to a fraction of a cent in others (especially with harmonic intervals). The conventional just-noticeable difference also defines an interval region of &quot;&#039;&#039;&#039;unnoticeable commas&#039;&#039;&#039;&quot; around the unison,...&quot;</title>
		<link rel="alternate" type="text/html" href="https://xenreference.com/wiki/index.php?title=Just-noticeable_difference&amp;diff=758&amp;oldid=prev"/>
		<updated>2025-12-15T09:34:44Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;The &amp;#039;&amp;#039;&amp;#039;just-noticeable difference,&amp;#039;&amp;#039;&amp;#039; about 3.5 cents, is an estimation of the minimum difference in pitch that can be distinguished by the average listener. However, this number actually varies widely, from up to 20 cents in some cases (certain casual listeners) to a fraction of a cent in others (especially with harmonic intervals). The conventional just-noticeable difference also defines an interval region of &amp;quot;&amp;#039;&amp;#039;&amp;#039;unnoticeable &lt;a href=&quot;/w/Comma&quot; title=&quot;Comma&quot;&gt;commas&lt;/a&gt;&amp;#039;&amp;#039;&amp;#039;&amp;quot; around the &lt;a href=&quot;/w/Unison&quot; title=&quot;Unison&quot;&gt;unison&lt;/a&gt;,...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;The &amp;#039;&amp;#039;&amp;#039;just-noticeable difference,&amp;#039;&amp;#039;&amp;#039; about 3.5 cents, is an estimation of the minimum difference in pitch that can be distinguished by the average listener. However, this number actually varies widely, from up to 20 cents in some cases (certain casual listeners) to a fraction of a cent in others (especially with harmonic intervals). The conventional just-noticeable difference also defines an interval region of &amp;quot;&amp;#039;&amp;#039;&amp;#039;unnoticeable [[Comma|commas]]&amp;#039;&amp;#039;&amp;#039;&amp;quot; around the [[unison]], which are the differences between intervals that are nearly identical in pitch. An example is the [[Pythagorean tuning#Schismic and garibaldi|schisma]]. A [[temperament]] of an unnoticeable comma, or a temperament that is otherwise for the most part indistinguishable from just intonation, is called a microtemperament.&lt;br /&gt;
&lt;br /&gt;
In some practices, this bound goes up to about 6 cents, which is the most precisely one is expected to intonate a pitch on certain instruments, and is a bit smaller than a [[kleisma]] (hence the kleisma&amp;#039;s significance in the context of intonation).&lt;/div&gt;</summary>
		<author><name>Vector</name></author>
	</entry>
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