152edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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|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.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-09-24 05:16:13 UTC</tt>.<br>
: The original revision id was <tt>453638230</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>
<h4>Original Wikitext content:</h4>
<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 //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|universal tuning]].
[[Paul_Erlich|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 universal tuning].


152 = 8 * 19, with divisors 2, 4, 8, 19, 38, 76.</pre></div>
152 = 8 * 19, with divisors 2, 4, 8, 19, 38, 76.
<h4>Original HTML content:</h4>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;152edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;152 equal division&lt;/em&gt; 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 &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for the 11-limit &lt;a class="wiki_link" href="/Mirkwai%20clan"&gt;grendel&lt;/a&gt; and &lt;a class="wiki_link" href="/Mirkwai%20clan"&gt;kwai&lt;/a&gt; linear temperaments, the 13-limit rank two temperament &lt;a class="wiki_link" href="/Ragismic%20microtemperaments#Octoid-Octopus"&gt;octopus&lt;/a&gt;, the planar temperament &lt;a class="wiki_link" href="/Hemifamity%20family"&gt;laka&lt;/a&gt;, 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.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Paul%20Erlich"&gt;Paul Erlich&lt;/a&gt; has suggested that 152 could be considered a sort of &lt;a class="wiki_link_ext" href="http://tech.dir.groups.yahoo.com/neo/groups/tuning-math/conversations/topics/3041" rel="nofollow"&gt;universal tuning&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
152 = 8 * 19, with divisors 2, 4, 8, 19, 38, 76.&lt;/body&gt;&lt;/html&gt;</pre></div>