198edo: Difference between revisions

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**Imported revision 267672514 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The ''198 equal temperament'' divides the octave into 198 parts of 6.061 cents each. It is contorted in the [[7-limit|7-limit]], with the same the same tuning as [[99edo|99edo]], but makes for a good 11- and 13-limit system. Like 99, it tempers out 2401/2400, 4375/4374, 3136/3135, 5120/5103 and 6144/6125 in the 7-limit; in the [[11-limit|11-limit]] it tempers 3025/3024 and 9801/9800; and in the [[13-limit|13-limit]] 352/351, 847/845, 676/675, 1001/1000, 1716/1715 and 2080/2079.
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>2011-10-23 16:49:57 UTC</tt>.<br>
: The original revision id was <tt>267672514</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 //198 equal temperament// divides the octave into 198 parts of 6.061 cents each. It is contorted in the [[7-limit]], with the same the same tuning as [[99edo]], but makes for a good 11- and 13-limit system. Like 99, it tempers out 2401/2400, 4375/4374, 3136/3135, 5120/5103 and 6144/6125 in the 7-limit; in the [[11-limit]] it tempers 3025/3024 and 9801/9800; and in the [[13-limit]] 352/351, 847/845, 676/675, 1001/1000, 1716/1715 and 2080/2079.


It is the optimal patent val for the rank five temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as [[Misty family#Hemimist|hemimist]] and [[Hemifamity family#Namaka|namaka]]. It is distinctly [[consistent]] through the 15-limit, and has divisors 2, 3, 6, 9, 11, 18, 22, 33, 66 and 99.</pre></div>
It is the optimal patent val for the rank five temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as [[Misty_family#Hemimist|hemimist]] and [[Hemifamity_family#Namaka|namaka]]. It is distinctly [[consistent|consistent]] through the 15-limit, and has divisors 2, 3, 6, 9, 11, 18, 22, 33, 66 and 99.
<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;198edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;198 equal temperament&lt;/em&gt; divides the octave into 198 parts of 6.061 cents each. It is contorted in the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, with the same the same tuning as &lt;a class="wiki_link" href="/99edo"&gt;99edo&lt;/a&gt;, but makes for a good 11- and 13-limit system. Like 99, it tempers out 2401/2400, 4375/4374, 3136/3135, 5120/5103 and 6144/6125 in the 7-limit; in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; it tempers 3025/3024 and 9801/9800; and in the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; 352/351, 847/845, 676/675, 1001/1000, 1716/1715 and 2080/2079.&lt;br /&gt;
&lt;br /&gt;
It is the optimal patent val for the rank five temperament tempering out 352/351, plus other temperaments of lower rank also tempering it out, such as &lt;a class="wiki_link" href="/Misty%20family#Hemimist"&gt;hemimist&lt;/a&gt; and &lt;a class="wiki_link" href="/Hemifamity%20family#Namaka"&gt;namaka&lt;/a&gt;. It is distinctly &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt; through the 15-limit, and has divisors 2, 3, 6, 9, 11, 18, 22, 33, 66 and 99.&lt;/body&gt;&lt;/html&gt;</pre></div>