Odd limit: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 345142268 - Original comment: **
Wikispaces>xenwolf
**Imported revision 520597516 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-06-13 17:46:38 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2014-09-03 04:45:13 UTC</tt>.<br>
: The original revision id was <tt>345142268</tt>.<br>
: The original revision id was <tt>520597516</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
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>
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== See also ==
== See also ==
* [[p-limit]] - or prime harmonic limit</pre></div>
* [[p-limit]] - or prime harmonic limit
* [[http://en.wikipedia.org/wiki/Limit_(music)|Limit (music) - Wikipedia, the free encyclopedia]] (covers also the distinction between odd-limit and prime-limit)</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Odd limit&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;q odd limit&lt;/em&gt;, where q is an odd integer, consists of everything of the form 2^n u/v, where u and v are odd integers less than or equal to q. It may be identified with the &lt;a class="wiki_link" href="/Diamonds"&gt;q-limit diamond&lt;/a&gt;.&lt;br /&gt;
<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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Odd limit&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;q odd limit&lt;/em&gt;, where q is an odd integer, consists of everything of the form 2^n u/v, where u and v are odd integers less than or equal to q. It may be identified with the &lt;a class="wiki_link" href="/Diamonds"&gt;q-limit diamond&lt;/a&gt;.&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; See also &lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-See also"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; See also &lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/p-limit"&gt;p-limit&lt;/a&gt; - or prime harmonic limit&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/p-limit"&gt;p-limit&lt;/a&gt; - or prime harmonic limit&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Limit_(music)" rel="nofollow"&gt;Limit (music) - Wikipedia, the free encyclopedia&lt;/a&gt; (covers also the distinction between odd-limit and prime-limit)&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 04:45, 3 September 2014

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author xenwolf and made on 2014-09-03 04:45:13 UTC.
The original revision id was 520597516.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

The //q odd limit//, where q is an odd integer, consists of everything of the form 2^n u/v, where u and v are odd integers less than or equal to q. It may be identified with the [[Diamonds|q-limit diamond]].

== Examples ==
some ratios in the 9-limit are: **3/2, 5/4, 7/6, 10/7, 12/7, 9/8, 14/9**,
**but not** 11/9 (11 is a prime greater than 9) **nor** 15/7 (since 15 is 3*5, both leas then 9, but with product greater than 9)


== See also ==
* [[p-limit]] - or prime harmonic limit
* [[http://en.wikipedia.org/wiki/Limit_(music)|Limit (music) - Wikipedia, the free encyclopedia]] (covers also the distinction between odd-limit and prime-limit)

Original HTML content:

<html><head><title>Odd limit</title></head><body>The <em>q odd limit</em>, where q is an odd integer, consists of everything of the form 2^n u/v, where u and v are odd integers less than or equal to q. It may be identified with the <a class="wiki_link" href="/Diamonds">q-limit diamond</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 --> Examples </h2>
some ratios in the 9-limit are: <strong>3/2, 5/4, 7/6, 10/7, 12/7, 9/8, 14/9</strong>,<br />
<strong>but not</strong> 11/9 (11 is a prime greater than 9) <strong>nor</strong> 15/7 (since 15 is 3*5, both leas then 9, but with product greater than 9)<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-See also"></a><!-- ws:end:WikiTextHeadingRule:2 --> See also </h2>
<ul><li><a class="wiki_link" href="/p-limit">p-limit</a> - or prime harmonic limit</li><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Limit_(music)" rel="nofollow">Limit (music) - Wikipedia, the free encyclopedia</a> (covers also the distinction between odd-limit and prime-limit)</li></ul></body></html>