Odd limit
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author JosephRuhf and made on 2016-12-15 13:32:09 UTC.
- The original revision id was 602249936.
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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>