320edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 240539109 - Original comment: **
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''320 equal division'' divides the octave into 320 equal parts of precisely 3.75 cents each. It tempers out 65625/65532 and 420175/419904 in the 7-limit and 441/440, 8019/8000 and 9801/9800 in the 11-limit, and so supports [[Werckismic_temperaments#Varuna|varuna temperament]], the rank three temperament tempering out 441/440, 8019/8000 and 9801/9800, for which it provides the [[Optimal_patent_val|optimal patent val]]. It also provides the [[Optimal_patent_val|optimal patent val]] for the rank four werckismic temperament tempering out 441/440. It tempers out 729/728, 1001/1000, 1575/1573, 4225/4224 and 6656/6655 in the 13-limit, leading to further temperaments for which it provides the optimal patent val, such as tempering out 441/440 with 729/728, 1001/1000 or both, or with 8019/8000, leading to a rank three temperament.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
[[Category:varuna]]
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-08 14:22:33 UTC</tt>.<br>
[[Category:werckisma]]
: The original revision id was <tt>240539109</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 //320 equal division// divides the octave into 320 equal parts of precisely 3.75 cents each. It tempers out 65625/65532 and 420175/419904 in the 7-limit and 441/440, 8019/8000 and 9801/9800 in the 11-limit, and so supports [[Werckismic temperaments#Varuna|varuna temperament]], the rank three temperament tempering out 441/440, 8019/8000 and 9801/9800, for which it provides the [[optimal patent val]]. It also provides the [[optimal patent val]] for the rank four werckismic temperament tempering out 441/440. It tempers out 729/728, 1001/1000, 1575/1573, 4225/4224 and 6656/6655 in the 13-limit, leading to further temperaments for which it provides the optimal patent val, such as tempering out 441/440 with 729/728, 1001/1000 or both, or with 8019/8000, leading to a rank three temperament.</pre></div>
<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;320edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;320 equal division&lt;/em&gt; divides the octave into 320 equal parts of precisely 3.75 cents each. It tempers out 65625/65532 and 420175/419904 in the 7-limit and 441/440, 8019/8000 and 9801/9800 in the 11-limit, and so supports &lt;a class="wiki_link" href="/Werckismic%20temperaments#Varuna"&gt;varuna temperament&lt;/a&gt;, the rank three temperament tempering out 441/440, 8019/8000 and 9801/9800, for which it provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt;. It also provides the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for the rank four werckismic temperament tempering out 441/440. It tempers out 729/728, 1001/1000, 1575/1573, 4225/4224 and 6656/6655 in the 13-limit, leading to further temperaments for which it provides the optimal patent val, such as tempering out 441/440 with 729/728, 1001/1000 or both, or with 8019/8000, leading to a rank three temperament.&lt;/body&gt;&lt;/html&gt;</pre></div>