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	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Form</id>
	<title>Form - Revision history</title>
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	<updated>2026-06-16T16:59:15Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.xen.wiki/index.php?title=Form&amp;diff=216500&amp;oldid=prev</id>
		<title>FloraC: + categories. Mark for review</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Form&amp;diff=216500&amp;oldid=prev"/>
		<updated>2025-11-08T10:40:24Z</updated>

		<summary type="html">&lt;p&gt;+ categories. Mark for review&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 10:40, 8 November 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;A &#039;&#039;&#039;form&#039;&#039;&#039; is a framework for conceptualizing the [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Interval|intervals&lt;/del&gt;]] in a [[tuning system]], where the N-form contains N [[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Interval &lt;/del&gt;category|interval categories]] within the equave. Given a [[regular temperament]] or other regular tuning, its form is the number of notes in the &quot;basic&quot; scale that represents the categorical distinctions being made by the system, where such a scale is usually [[soft]]. For an example, [[meantone]] is a 7-form structure, as meantone is most usefully conceptualized as containing 7 interval categories and can be reasonably simplified to 7edo to understand its structure. [[Superpyth]] is a 5-form structure, and shares this property with many other temperaments in 2.3.7.&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;A &#039;&#039;&#039;form&#039;&#039;&#039; is a framework for conceptualizing the [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;interval&lt;/ins&gt;]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;s &lt;/ins&gt;in a [[tuning system]], where the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;N&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;-form contains &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&lt;/ins&gt;N&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039; &lt;/ins&gt;[[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;interval &lt;/ins&gt;category|interval categories]] within the equave. Given a [[regular temperament]] or other regular tuning, its form is the number of notes in the &quot;basic&quot; scale that represents the categorical distinctions being made by the system, where such a scale is usually [[soft]]. For an example, [[meantone]] is a 7-form structure, as meantone is most usefully conceptualized as containing 7 interval categories and can be reasonably simplified to 7edo to understand its structure. [[Superpyth]] is a 5-form structure, and shares this property with many other temperaments in 2.3.7.&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Todo| review }}&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;[[Category:Terms]]&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;[[Category:Scale]]&lt;/ins&gt;&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=Form&amp;diff=216466&amp;oldid=prev</id>
		<title>VectorGraphics at 06:09, 8 November 2025</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Form&amp;diff=216466&amp;oldid=prev"/>
		<updated>2025-11-08T06:09:16Z</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;
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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 06:09, 8 November 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;A &#039;&#039;&#039;form&#039;&#039;&#039; is a framework for conceptualizing the [[Interval|intervals]] in a [[tuning system]], where the N-form contains N [[Interval category|interval categories]] within the equave.&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;A &#039;&#039;&#039;form&#039;&#039;&#039; is a framework for conceptualizing the [[Interval|intervals]] in a [[tuning system]], where the N-form contains N [[Interval category|interval categories]] within the equave. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Given &lt;/ins&gt;a [[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;regular temperament&lt;/ins&gt;]] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;or other regular tuning&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;its form is the number &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;notes in &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;basic&quot; scale &lt;/ins&gt;that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;represents &lt;/ins&gt;the categorical distinctions being made by the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;system, where such a scale is usually [[soft]]&lt;/ins&gt;. For an example, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;meantone&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;is a 7-form structure, as meantone is most usefully conceptualized as containing 7 interval categories and can be reasonably simplified to 7edo to understand its structure. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/ins&gt;Superpyth&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/ins&gt;is a 5-form structure, and shares this property with many other temperaments in 2.3.7.&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; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A tuning system is in the N-form if it is describable by &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(usually &lt;/del&gt;[[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;soft&lt;/del&gt;]], &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;at minimum [[Rothenberg propriety|Rothenberg proper]]) scale &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cardinality N, such that N-[[edo]] is &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;simplest edo &lt;/del&gt;that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;gives a sense of &lt;/del&gt;the categorical distinctions being made by the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;structure&lt;/del&gt;. For an example, meantone is a 7-form structure, as meantone is most usefully conceptualized as containing 7 interval categories and can be reasonably simplified to 7edo to understand its structure. Superpyth is a 5-form structure, and shares this property with many other temperaments in 2.3.7.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>VectorGraphics</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Form&amp;diff=216465&amp;oldid=prev</id>
		<title>VectorGraphics: Created page with &quot;A &#039;&#039;&#039;form&#039;&#039;&#039; is a framework for conceptualizing the intervals in a tuning system, where the N-form contains N interval categories within the equave.  A tuning system is in the N-form if it is describable by a (usually soft, at minimum Rothenberg proper) scale of cardinality N, such that N-edo is the simplest edo that gives a sense of the categorical distinctions being made by the structure. For an ex...&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Form&amp;diff=216465&amp;oldid=prev"/>
		<updated>2025-11-08T06:03:56Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;A &amp;#039;&amp;#039;&amp;#039;form&amp;#039;&amp;#039;&amp;#039; is a framework for conceptualizing the &lt;a href=&quot;/w/Interval&quot; title=&quot;Interval&quot;&gt;intervals&lt;/a&gt; in a &lt;a href=&quot;/w/Tuning_system&quot; title=&quot;Tuning system&quot;&gt;tuning system&lt;/a&gt;, where the N-form contains N &lt;a href=&quot;/w/Interval_category&quot; class=&quot;mw-redirect&quot; title=&quot;Interval category&quot;&gt;interval categories&lt;/a&gt; within the equave.  A tuning system is in the N-form if it is describable by a (usually &lt;a href=&quot;/w/Soft&quot; class=&quot;mw-redirect&quot; title=&quot;Soft&quot;&gt;soft&lt;/a&gt;, at minimum &lt;a href=&quot;/w/Rothenberg_propriety&quot; title=&quot;Rothenberg propriety&quot;&gt;Rothenberg proper&lt;/a&gt;) scale of cardinality N, such that N-&lt;a href=&quot;/w/Edo&quot; class=&quot;mw-redirect&quot; title=&quot;Edo&quot;&gt;edo&lt;/a&gt; is the simplest edo that gives a sense of the categorical distinctions being made by the structure. For an ex...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A &amp;#039;&amp;#039;&amp;#039;form&amp;#039;&amp;#039;&amp;#039; is a framework for conceptualizing the [[Interval|intervals]] in a [[tuning system]], where the N-form contains N [[Interval category|interval categories]] within the equave.&lt;br /&gt;
&lt;br /&gt;
A tuning system is in the N-form if it is describable by a (usually [[soft]], at minimum [[Rothenberg propriety|Rothenberg proper]]) scale of cardinality N, such that N-[[edo]] is the simplest edo that gives a sense of the categorical distinctions being made by the structure. For an example, meantone is a 7-form structure, as meantone is most usefully conceptualized as containing 7 interval categories and can be reasonably simplified to 7edo to understand its structure. Superpyth is a 5-form structure, and shares this property with many other temperaments in 2.3.7.&lt;/div&gt;</summary>
		<author><name>VectorGraphics</name></author>
	</entry>
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