<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Talk%3AGeneralized_Tenney_norms_and_Tp_interval_space%2FWikispacesArchive</id>
	<title>Talk:Generalized Tenney norms and Tp interval space/WikispacesArchive - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Talk%3AGeneralized_Tenney_norms_and_Tp_interval_space%2FWikispacesArchive"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Generalized_Tenney_norms_and_Tp_interval_space/WikispacesArchive&amp;action=history"/>
	<updated>2026-08-23T22:01:40Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.6</generator>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Generalized_Tenney_norms_and_Tp_interval_space/WikispacesArchive&amp;diff=102680&amp;oldid=prev</id>
		<title>FloraC: FloraC moved page Talk:Generalized Tenney Norms and Tp Interval Space/WikispacesArchive to Talk:Generalized Tenney norms and Tp interval space/WikispacesArchive: WP:NCCAPS</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Generalized_Tenney_norms_and_Tp_interval_space/WikispacesArchive&amp;diff=102680&amp;oldid=prev"/>
		<updated>2023-02-13T09:37:40Z</updated>

		<summary type="html">&lt;p&gt;FloraC moved page &lt;a href=&quot;/w/Talk:Generalized_Tenney_Norms_and_Tp_Interval_Space/WikispacesArchive&quot; class=&quot;mw-redirect&quot; title=&quot;Talk:Generalized Tenney Norms and Tp Interval Space/WikispacesArchive&quot;&gt;Talk:Generalized Tenney Norms and Tp Interval Space/WikispacesArchive&lt;/a&gt; to &lt;a href=&quot;/w/Talk:Generalized_Tenney_norms_and_Tp_interval_space/WikispacesArchive&quot; title=&quot;Talk:Generalized Tenney norms and Tp interval space/WikispacesArchive&quot;&gt;Talk:Generalized Tenney norms and Tp interval space/WikispacesArchive&lt;/a&gt;: WP:NCCAPS&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 09:37, 13 February 2023&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;
&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=Talk:Generalized_Tenney_norms_and_Tp_interval_space/WikispacesArchive&amp;diff=34636&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:Generalized_Tenney_norms_and_Tp_interval_space/WikispacesArchive&amp;diff=34636&amp;oldid=prev"/>
		<updated>2018-10-01T18:01:41Z</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;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 18:01, 1 October 2018&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;
&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:Generalized_Tenney_norms_and_Tp_interval_space/WikispacesArchive&amp;diff=34635&amp;oldid=prev</id>
		<title>WikispacesArchive&gt;Mike Battaglia: Text replacement - &quot;&#039;&#039;&#039;All discussion below is archived from the Wikispaces export in its original unaltered form.&#039;&#039;&#039;&quot; to &quot;&#039;&#039;&#039;All discussion below is archived from the Wikispaces export in its original unaltered form.&#039;&#039;&#039;

&lt;span style=&quot;color:#800000&quot;&gt;&#039;&#039;...</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Generalized_Tenney_norms_and_Tp_interval_space/WikispacesArchive&amp;diff=34635&amp;oldid=prev"/>
		<updated>2018-10-01T18:01:16Z</updated>

		<summary type="html">&lt;p&gt;Text replacement - &amp;quot;&amp;#039;&amp;#039;&amp;#039;All discussion below is archived from the Wikispaces export in its original unaltered form.&amp;#039;&amp;#039;&amp;#039;&amp;quot; to &amp;quot;&amp;#039;&amp;#039;&amp;#039;All discussion below is archived from the Wikispaces export in its original unaltered form.&amp;#039;&amp;#039;&amp;#039;  &amp;lt;span style=&amp;quot;color:#800000&amp;quot;&amp;gt;&amp;#039;&amp;#039;...&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;
== Alternatively? ==&lt;br /&gt;
You seem to be saying you can embed monzos in a real vector space, or alternatively, in a real vector space.&lt;br /&gt;
&lt;br /&gt;
- &amp;#039;&amp;#039;&amp;#039;genewardsmith&amp;#039;&amp;#039;&amp;#039; August 06, 2012, 09:02:21 AM UTC-0700&lt;br /&gt;
----&lt;br /&gt;
Fantastic, my post was deleted.&lt;br /&gt;
&lt;br /&gt;
I was trying to say that you can think of interval space as embedding the =free abelian group= of monzos, specifically, as a lattice in some random real vector space. Or, alternatively, if you prefer thinking of monzos in terms of Z-modules and things, then you can get the same construction by just allowing your monzos to take real coefficients.&lt;br /&gt;
&lt;br /&gt;
The conceptual distinction is more important when talking about vals. For instance, when we construct tuning space are we just allowing our vals to take real coordinates so that we end up with a vector space made up of &amp;quot;real vals&amp;quot;? Or are we embedding the vals into this other vector space that&amp;#039;s otherwise made tuning maps, which aren&amp;#039;t vals of any kind?&lt;br /&gt;
&lt;br /&gt;
- &amp;#039;&amp;#039;&amp;#039;mbattaglia1&amp;#039;&amp;#039;&amp;#039; August 06, 2012, 10:13:30 AM UTC-0700&lt;br /&gt;
----&lt;br /&gt;
Why in hell was your post deleted?&lt;br /&gt;
&lt;br /&gt;
I think you are trying to draw a distinction so fine it&amp;#039;s confusing.&lt;br /&gt;
&lt;br /&gt;
- &amp;#039;&amp;#039;&amp;#039;genewardsmith&amp;#039;&amp;#039;&amp;#039; August 06, 2012, 10:21:04 AM UTC-0700&lt;br /&gt;
----&lt;br /&gt;
I think a stray click on my end did it.&lt;br /&gt;
&lt;br /&gt;
If you think it&amp;#039;s unnecessary, feel free to tweak it or nix it altogether. I spent too many hours on this and now I&amp;#039;m fried.&lt;br /&gt;
&lt;br /&gt;
- &amp;#039;&amp;#039;&amp;#039;mbattaglia1&amp;#039;&amp;#039;&amp;#039; August 06, 2012, 10:56:05 AM UTC-0700&lt;br /&gt;
----&lt;/div&gt;</summary>
		<author><name>WikispacesArchive&gt;Mike Battaglia</name></author>
	</entry>
</feed>