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Breed family: Difference between revisions

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**Imported revision 164663759 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 164696039 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2010-09-22 16:07:14 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-22 18:15:05 UTC</tt>.<br>
: The original revision id was <tt>164663759</tt>.<br>
: The original revision id was <tt>164696039</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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===Jove, aka Wonder===  
===Jove, aka Wonder===  
Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo.</pre></div>
Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo.
 
11-limit
Commas: 243/242, 441/440
 
Minimax tuning
[|1 0 0 0 0&gt;, |1/5 0 0 0 2/5&gt;,
|13/5 0 2 -2 1/5&gt;, |13/5 0 1 -1 1/5&gt;,
|0 0 0 0 1&gt;]
Eigenmonzos: 7/5,11/8
 
13-limit
Commas: 243/242, 441/440, 364/363
 
13-limit minimax
[|1 0 0 0 0 0&gt;, |17/11 -12/11 2/11 0 0 4/11&gt;, |34/11 -46/11 15/11 0 0 8/11&gt;,
|35/11 -26/11 8/11 0 0 5/11&gt;,
|37/11 -30/11 5/11 0 0 10/11&gt;,
|34/11 -46/11 4/11 0 0 19/11&gt;]
Eigenmonzos: 2, 10/9, 13/10 (or 13/9)
 
15-limit minimax
[|1 0 0 0 0 0&gt;, |2 -1/4 1/2 -3/4 0 1/4&gt;,
|7/2 -1/8 9/4 -19/8 0 1/8&gt;,
|7/2 -1/8 5/4 -11/8 0 1/8&gt;,
|9/2 -5/8 5/4 -15/8 0 5/8&gt;,
|11/2 -11/8 7/4 -25/8 0 11/8&gt;]
Eigenmonzos: 2, 15/13, 7/5
 
17-limit minimax
[|1 0 0 0 0 0 0&gt;, |7/3 -1/3 4/3 -5/3 0 0 1/3&gt;, |11/3 -1/6 8/3 -17/6 0 0 1/6&gt;,
|11/3 -1/6 5/3 -11/6 0 0 1/6&gt;,
|16/3 -5/6 10/3 -25/6 0 0 5/6&gt;,
|22/3 -11/6 19/3 -49/6 0 0 11/6&gt;,
|6 -3/2 3 -9/2 0 0 3/2&gt;]
Eigenmonzos: 2, 17/15, 7/5
 
Edos: 72, 130, 171, 243, 274, 346, 435, 476</pre></div>
<h4>Original HTML content:</h4>
<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;Breed family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, 2749et will certainly do the trick.&lt;br /&gt;
<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;Breed family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, 2749et will certainly do the trick.&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-11-limit children-Jove, aka Wonder"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Jove, aka Wonder&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-11-limit children-Jove, aka Wonder"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Jove, aka Wonder&lt;/h3&gt;
  Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo.&lt;/body&gt;&lt;/html&gt;</pre></div>
  Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo.&lt;br /&gt;
&lt;br /&gt;
11-limit&lt;br /&gt;
Commas: 243/242, 441/440&lt;br /&gt;
&lt;br /&gt;
Minimax tuning&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |1/5 0 0 0 2/5&amp;gt;, &lt;br /&gt;
|13/5 0 2 -2 1/5&amp;gt;, |13/5 0 1 -1 1/5&amp;gt;, &lt;br /&gt;
|0 0 0 0 1&amp;gt;]&lt;br /&gt;
Eigenmonzos: 7/5,11/8&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
Commas: 243/242, 441/440, 364/363&lt;br /&gt;
&lt;br /&gt;
13-limit minimax&lt;br /&gt;
[|1 0 0 0 0 0&amp;gt;, |17/11 -12/11 2/11 0 0 4/11&amp;gt;, |34/11 -46/11 15/11 0 0 8/11&amp;gt;, &lt;br /&gt;
|35/11 -26/11 8/11 0 0 5/11&amp;gt;, &lt;br /&gt;
|37/11 -30/11 5/11 0 0 10/11&amp;gt;, &lt;br /&gt;
|34/11 -46/11 4/11 0 0 19/11&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 10/9, 13/10 (or 13/9)&lt;br /&gt;
&lt;br /&gt;
15-limit minimax&lt;br /&gt;
[|1 0 0 0 0 0&amp;gt;, |2 -1/4 1/2 -3/4 0 1/4&amp;gt;, &lt;br /&gt;
|7/2 -1/8 9/4 -19/8 0 1/8&amp;gt;, &lt;br /&gt;
|7/2 -1/8 5/4 -11/8 0 1/8&amp;gt;, &lt;br /&gt;
|9/2 -5/8 5/4 -15/8 0 5/8&amp;gt;,&lt;br /&gt;
|11/2 -11/8 7/4 -25/8 0 11/8&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 15/13, 7/5&lt;br /&gt;
&lt;br /&gt;
17-limit minimax&lt;br /&gt;
[|1 0 0 0 0 0 0&amp;gt;, |7/3 -1/3 4/3 -5/3 0 0 1/3&amp;gt;, |11/3 -1/6 8/3 -17/6 0 0 1/6&amp;gt;, &lt;br /&gt;
|11/3 -1/6 5/3 -11/6 0 0 1/6&amp;gt;, &lt;br /&gt;
|16/3 -5/6 10/3 -25/6 0 0 5/6&amp;gt;, &lt;br /&gt;
|22/3 -11/6 19/3 -49/6 0 0 11/6&amp;gt;, &lt;br /&gt;
|6 -3/2 3 -9/2 0 0 3/2&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 17/15, 7/5&lt;br /&gt;
&lt;br /&gt;
Edos: 72, 130, 171, 243, 274, 346, 435, 476&lt;/body&gt;&lt;/html&gt;</pre></div>
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