Odd limit: Difference between revisions
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Wikispaces>xenwolf **Imported revision 520597516 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 602249936 - 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: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-15 13:32:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602249936</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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<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">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]]. | <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">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 == | ==Examples== | ||
some ratios in the 9-limit are: **3/2, 5/4, 7/6, 10/7, 12/7, 9/8, 14/9**, | 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 | **but not** 11/9 (11 is a prime greater than 9) **nor** 15/7 (since 15 is 3*5, both less then 9, but with product greater than 9) | ||
== See also == | ==See also== | ||
* [[p-limit]] - or prime harmonic limit | * [[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> | * [[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> | ||
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<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"><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 /> | <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"><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 /> | ||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Examples"></a><!-- ws:end:WikiTextHeadingRule:0 --> Examples </h2> | <!-- 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 /> | 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 | <strong>but not</strong> 11/9 (11 is a prime greater than 9) <strong>nor</strong> 15/7 (since 15 is 3*5, both less then 9, but with product greater than 9)<br /> | ||
<br /> | <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> | <!-- 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></pre></div> | <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></pre></div> | ||
Revision as of 13:32, 15 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-12-15 13:32:09 UTC.
- The original revision id was 602249936.
- 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 less 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:<h2> --><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 less then 9, but with product greater than 9)<br /> <br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><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>