Fokker block: Difference between revisions

Wikispaces>igliashon
**Imported revision 510942658 - Original comment: **
Wikispaces>igliashon
**Imported revision 510942702 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2014-05-23 22:33:47 UTC</tt>.<br>
: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2014-05-23 22:34:29 UTC</tt>.<br>
: The original revision id was <tt>510942658</tt>.<br>
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: The revision comment was: <tt></tt><br>
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]]
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]]
 
[[image:mathhazard.jpg align="left"]]The **Fokker block** is one of the most notable inventions of the physicist and music theorist [[http://en.wikipedia.org/wiki/Adriaan_Fokker|Adriaan Fokker]]. While the idea generalizes easily to [[just intonation subgroups]] and tempered groups, for ease of exposition we will suppose that we are in a [[Harmonic Limit|p-limit]] situation with n=pi(p) primes up to an including p.
 
[[image:mathhazard.jpg align="left"]]
 
The **Fokker block** is one of the most notable inventions of the physicist and music theorist [[http://en.wikipedia.org/wiki/Adriaan_Fokker|Adriaan Fokker]]. While the idea generalizes easily to [[just intonation subgroups]] and tempered groups, for ease of exposition we will suppose that we are in a [[Harmonic Limit|p-limit]] situation with n=pi(p) primes up to an including p.


=Preliminaries=  
=Preliminaries=  
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&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Further reading"&gt;Further reading&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Further reading"&gt;Further reading&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextLocalImageRule:53:&amp;lt;img src=&amp;quot;/file/view/mathhazard.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; align=&amp;quot;left&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mathhazard.jpg" alt="mathhazard.jpg" title="mathhazard.jpg" align="left" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:53 --&gt;The &lt;strong&gt;Fokker block&lt;/strong&gt; is one of the most notable inventions of the physicist and music theorist &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Adriaan_Fokker" rel="nofollow"&gt;Adriaan Fokker&lt;/a&gt;. While the idea generalizes easily to &lt;a class="wiki_link" href="/just%20intonation%20subgroups"&gt;just intonation subgroups&lt;/a&gt; and tempered groups, for ease of exposition we will suppose that we are in a &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;p-limit&lt;/a&gt; situation with n=pi(p) primes up to an including p.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:53:&amp;lt;img src=&amp;quot;/file/view/mathhazard.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; align=&amp;quot;left&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mathhazard.jpg" alt="mathhazard.jpg" title="mathhazard.jpg" align="left" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:53 --&gt;&lt;br /&gt;
&lt;br /&gt;
The &lt;strong&gt;Fokker block&lt;/strong&gt; is one of the most notable inventions of the physicist and music theorist &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Adriaan_Fokker" rel="nofollow"&gt;Adriaan Fokker&lt;/a&gt;. While the idea generalizes easily to &lt;a class="wiki_link" href="/just%20intonation%20subgroups"&gt;just intonation subgroups&lt;/a&gt; and tempered groups, for ease of exposition we will suppose that we are in a &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;p-limit&lt;/a&gt; situation with n=pi(p) primes up to an including p.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Preliminaries"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Preliminaries&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Preliminaries"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Preliminaries&lt;/h1&gt;