152edo
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- This revision was by author genewardsmith and made on 2013-09-24 05:15:52 UTC.
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Original Wikitext content:
The //152 equal division// divides the octave into 152 equally sized parts of 7.895 cents each. It is a strong 11-limit system, with the 3, 5, 7, and 11 slightly sharp. It provides the [[optimal patent val]] for the 11-limit [[Mirkwai clan|grendel]] and [[Mirkwai clan|kwai]] linear temperaments, the 13-limit rank two temperament [[Ragismic microtemperaments#Octoid-Octopus|octopus]], the planar temperament [[Hemifamity family|laka]], and the rank five temperament tempering out 169/168. It tempers out 1600000/1594323, the amity comma, in the 5-limit; 4375/4374, 5120/5103, 6144/6125 and 16875/15807 in the 7-limit; 540/539, 1375/1372, 4000/3993, 5632/5625 and 9801/9800 in the 11-limit, and 169/168, 325/324, 351/350, 364/363, 1001/1000, and 4096/4095 in the 13-limit. [[Paul Erlich]] has suggested that 152 could be considered a sort of [[http://tech.dir.groups.yahoo.com/neo/groups/tuning-math/conversations/topics/3041|univeral tuning]]. 152 = 8 * 19, with divisors 2, 4, 8, 19, 38, 76.
Original HTML content:
<html><head><title>152edo</title></head><body>The <em>152 equal division</em> divides the octave into 152 equally sized parts of 7.895 cents each. It is a strong 11-limit system, with the 3, 5, 7, and 11 slightly sharp. It provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the 11-limit <a class="wiki_link" href="/Mirkwai%20clan">grendel</a> and <a class="wiki_link" href="/Mirkwai%20clan">kwai</a> linear temperaments, the 13-limit rank two temperament <a class="wiki_link" href="/Ragismic%20microtemperaments#Octoid-Octopus">octopus</a>, the planar temperament <a class="wiki_link" href="/Hemifamity%20family">laka</a>, and the rank five temperament tempering out 169/168. It tempers out 1600000/1594323, the amity comma, in the 5-limit; 4375/4374, 5120/5103, 6144/6125 and 16875/15807 in the 7-limit; 540/539, 1375/1372, 4000/3993, 5632/5625 and 9801/9800 in the 11-limit, and 169/168, 325/324, 351/350, 364/363, 1001/1000, and 4096/4095 in the 13-limit.<br /> <br /> <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a> has suggested that 152 could be considered a sort of <a class="wiki_link_ext" href="http://tech.dir.groups.yahoo.com/neo/groups/tuning-math/conversations/topics/3041" rel="nofollow">univeral tuning</a>.<br /> <br /> 152 = 8 * 19, with divisors 2, 4, 8, 19, 38, 76.</body></html>