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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | 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]]. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-15 13:32:09 UTC</tt>.<br>
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| : The original revision id was <tt>602249936</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>
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| <h4>Original Wikitext content:</h4>
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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]].
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| ==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 less then 9, but with product greater than 9)
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| | '''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) |
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| ==See also== | | ==See also== |
| * [[p-limit]] - or prime harmonic limit
| | <ul><li>[[p-limit|p-limit]] - or prime harmonic limit</li><li>[http://en.wikipedia.org/wiki/Limit_(music) Limit (music) - Wikipedia, the free encyclopedia] (covers also the distinction between odd-limit and prime-limit)</li></ul> [[Category: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>
| | [[Category:term]] |
| <h4>Original HTML content:</h4>
| | [[Category:todo:reduce_mathslang]] |
| <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>
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| some ratios in the 9-limit are: <strong>3/2, 5/4, 7/6, 10/7, 12/7, 9/8, 14/9</strong>,<br />
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| <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 />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->See also</h2>
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| <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>
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