1171edo

Revision as of 11:50, 14 August 2015 by Wikispaces>genewardsmith (**Imported revision 556692091 - Original comment: **)

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This revision was by author genewardsmith and made on 2015-08-14 11:50:51 UTC.
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Original Wikitext content:

The 1171 equal division divides the octave into 1171 parts of size 1.0248 cents each. It is a very strong 5-limit division, being the first one past [[612edo|612]] with a lower 5-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]]. It has a 5-limit comma basis consisting of the monzisma, |54 -37 2> and whoosh, |37 25 -33>. While not a strong higher-limit system, it is uniquely consistent through the 27-limit, and is very strong on the 2.3.5.11 subgroup. We might also note that 1171 is a prime number.

Original HTML content:

<html><head><title>1171edo</title></head><body>The 1171 equal division divides the octave into 1171 parts of size 1.0248 cents each. It is a very strong 5-limit division, being the first one past <a class="wiki_link" href="/612edo">612</a> with a lower 5-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a>. It has a 5-limit comma basis consisting of the monzisma, |54 -37 2&gt; and whoosh, |37 25 -33&gt;. While not a strong higher-limit system, it is uniquely consistent through the 27-limit, and is very strong on the 2.3.5.11 subgroup. We might also note that 1171 is a prime number.</body></html>