Breed family: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 177090949 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 187861883 - 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>2010-11-06 17:43:46 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-13 17:35:03 UTC</tt>.<br>
: The original revision id was <tt>177090949</tt>.<br>
: The original revision id was <tt>187861883</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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|0 0 0 0 1&gt;]
|0 0 0 0 1&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5, 11/8
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5, 11/8
EDOs: 31, 41, 58, 72, 130, 202


13-limit
13-limit
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|11/2 -11/8 7/4 -25/8 0 11/8&gt;]
|11/2 -11/8 7/4 -25/8 0 11/8&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 15/13, 7/5
[[Eigenmonzo|Eigenmonzos]]: 2, 15/13, 7/5
EDOs: 41, 58, 72, 130, 243


====Jofur====
====Jofur====
Commas: 243/242, 441/440, 143/142
Commas: 243/242, 441/440, 144/143
 
EDOs: 10, 31, 41, 58


17-limit
17-limit
Line 79: Line 85:
|9/5 4/5 0 2/5 -2/5&gt;, |9/5 4/5 0 -3/5 3/5&gt;]
|9/5 4/5 0 2/5 -2/5&gt;, |9/5 4/5 0 -3/5 3/5&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 4/3
[[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 4/3
EDOs: 10, 31, 41, 72, 167, 198, 239, 270, 342, 612, 954, 1566


13-limit
13-limit
Line 85: Line 93:
Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -2 3|]
Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -2 3|]
[[Generator|Generators]]: 2, 49/40, 55/42
[[Generator|Generators]]: 2, 49/40, 55/42
[[edo|Edos]]: [[270edo|270]], [[342edo|342]], [[612edo|612]]
[[edo|Edos]]: 10, 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615


===Baldur===
===Baldur===
Line 98: Line 106:
Map: [&lt;2 0 1 3 7|, &lt;0 2 1 1 -2|, &lt;0 0 2 1 3|]
Map: [&lt;2 0 1 3 7|, &lt;0 2 1 1 -2|, &lt;0 0 2 1 3|]
[[Generator|Generators]]: 99/70, 343/198, 10/7
[[Generator|Generators]]: 99/70, 343/198, 10/7
EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696


13-limit
13-limit
Commas: 2401/2400, 9801/9800, 1001/1000
Commas: 2401/2400, 9801/9800, 1001/1000


[[edo|Edos]]: [[612edo|612]], [[742edo|742]], [[1012edo|1012]], [[1084edo|1084]], [[1696edo|1696]], [[2308edo|2308]]
[[edo|Edos]]: 58, 72, 130, 198, 270, 940


===Agni===
===Agni===
Line 120: Line 130:
Map: [&lt;1 1 1 2 5|, &lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]
Map: [&lt;1 1 1 2 5|, &lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]
[[Generator|Generators]]: 2, 49/40, 10/7
[[Generator|Generators]]: 2, 49/40, 10/7
[[edo|Edos]]: [[212edo|212]], [[284edo|284]]
[[edo|Edos]]: 27, 31, 41, 68, 72, 140, 181, [[212edo|212]], [[284edo|284]]


13-limit
13-limit
Commas: 385/384, 1375/1372, 625/624
Commas: 385/384, 1375/1372, 625/624
EDOs: 31, 68, 72, 103, 140, 212


===Vili===
===Vili===
Commas: 2401/2400, 391314/390625
Commas: 2401/2400, 391314/390625
EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583


13-limit
13-limit
Commas: 2401/2400, 10985/10976, 1001/1000
Commas: 2401/2400, 10985/10976, 1001/1000
EDOs: 37, 93, 103, 130, 233, 270, 643


===Zisa===
===Zisa===
Commas: 2401/2400, 5632/5625
Commas: 2401/2400, 5632/5625
EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210


13-limit
13-limit
Commas: 2401/2400, 5632/5625, 4096/4095
Commas: 2401/2400, 5632/5625, 4096/4095
EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241


===Frigg===
===Frigg===
Commas: 2401/2400, 644204/643125
Commas: 2401/2400, 644204/643125
EDOs: 51, 58, 103, 161, 212, 270, 643, 913


13-limit  
13-limit  
Commas: 2401/2400, 10648/10647, 1001/1000</pre></div>
Commas: 2401/2400, 10648/10647, 1001/1000
 
EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344
</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;
Line 171: Line 196:
|0 0 0 0 1&amp;gt;]&lt;br /&gt;
|0 0 0 0 1&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/5, 11/8&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/5, 11/8&lt;br /&gt;
&lt;br /&gt;
EDOs: 31, 41, 58, 72, 130, 202&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
13-limit&lt;br /&gt;
Line 189: Line 216:
|11/2 -11/8 7/4 -25/8 0 11/8&amp;gt;]&lt;br /&gt;
|11/2 -11/8 7/4 -25/8 0 11/8&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 15/13, 7/5&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 15/13, 7/5&lt;br /&gt;
&lt;br /&gt;
EDOs: 41, 58, 72, 130, 243&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc3"&gt;&lt;a name="x-11-limit children-Jove, aka Wonder-Jofur"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Jofur&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc3"&gt;&lt;a name="x-11-limit children-Jove, aka Wonder-Jofur"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Jofur&lt;/h4&gt;
Commas: 243/242, 441/440, 143/142&lt;br /&gt;
Commas: 243/242, 441/440, 144/143&lt;br /&gt;
&lt;br /&gt;
EDOs: 10, 31, 41, 58&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
17-limit&lt;br /&gt;
17-limit&lt;br /&gt;
Line 216: Line 247:
|9/5 4/5 0 2/5 -2/5&amp;gt;, |9/5 4/5 0 -3/5 3/5&amp;gt;]&lt;br /&gt;
|9/5 4/5 0 2/5 -2/5&amp;gt;, |9/5 4/5 0 -3/5 3/5&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 14/11, 4/3&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 14/11, 4/3&lt;br /&gt;
&lt;br /&gt;
EDOs: 10, 31, 41, 72, 167, 198, 239, 270, 342, 612, 954, 1566&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
13-limit&lt;br /&gt;
Line 222: Line 255:
Map: [&amp;lt;1 1 3 3 2|, &amp;lt;0 2 3 2 1|, &amp;lt;0 0 -4 -2 3|]&lt;br /&gt;
Map: [&amp;lt;1 1 3 3 2|, &amp;lt;0 2 3 2 1|, &amp;lt;0 0 -4 -2 3|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 49/40, 55/42&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 49/40, 55/42&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/270edo"&gt;270&lt;/a&gt;, &lt;a class="wiki_link" href="/342edo"&gt;342&lt;/a&gt;, &lt;a class="wiki_link" href="/612edo"&gt;612&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 10, 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-11-limit children-Baldur"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Baldur&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-11-limit children-Baldur"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Baldur&lt;/h3&gt;
Line 235: Line 268:
Map: [&amp;lt;2 0 1 3 7|, &amp;lt;0 2 1 1 -2|, &amp;lt;0 0 2 1 3|]&lt;br /&gt;
Map: [&amp;lt;2 0 1 3 7|, &amp;lt;0 2 1 1 -2|, &amp;lt;0 0 2 1 3|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 99/70, 343/198, 10/7&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 99/70, 343/198, 10/7&lt;br /&gt;
&lt;br /&gt;
EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
13-limit&lt;br /&gt;
Commas: 2401/2400, 9801/9800, 1001/1000&lt;br /&gt;
Commas: 2401/2400, 9801/9800, 1001/1000&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/612edo"&gt;612&lt;/a&gt;, &lt;a class="wiki_link" href="/742edo"&gt;742&lt;/a&gt;, &lt;a class="wiki_link" href="/1012edo"&gt;1012&lt;/a&gt;, &lt;a class="wiki_link" href="/1084edo"&gt;1084&lt;/a&gt;, &lt;a class="wiki_link" href="/1696edo"&gt;1696&lt;/a&gt;, &lt;a class="wiki_link" href="/2308edo"&gt;2308&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 58, 72, 130, 198, 270, 940&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-11-limit children-Agni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Agni&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-11-limit children-Agni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Agni&lt;/h3&gt;
Line 257: Line 292:
Map: [&amp;lt;1 1 1 2 5|, &amp;lt;0 2 1 1 0|, &amp;lt;0 0 2 1 -3|]&lt;br /&gt;
Map: [&amp;lt;1 1 1 2 5|, &amp;lt;0 2 1 1 0|, &amp;lt;0 0 2 1 -3|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 49/40, 10/7&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 49/40, 10/7&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/212edo"&gt;212&lt;/a&gt;, &lt;a class="wiki_link" href="/284edo"&gt;284&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 27, 31, 41, 68, 72, 140, 181, &lt;a class="wiki_link" href="/212edo"&gt;212&lt;/a&gt;, &lt;a class="wiki_link" href="/284edo"&gt;284&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
13-limit&lt;br /&gt;
Commas: 385/384, 1375/1372, 625/624&lt;br /&gt;
Commas: 385/384, 1375/1372, 625/624&lt;br /&gt;
&lt;br /&gt;
EDOs: 31, 68, 72, 103, 140, 212&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-11-limit children-Vili"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Vili&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-11-limit children-Vili"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Vili&lt;/h3&gt;
Commas: 2401/2400, 391314/390625&lt;br /&gt;
Commas: 2401/2400, 391314/390625&lt;br /&gt;
&lt;br /&gt;
EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
13-limit&lt;br /&gt;
Commas: 2401/2400, 10985/10976, 1001/1000&lt;br /&gt;
Commas: 2401/2400, 10985/10976, 1001/1000&lt;br /&gt;
&lt;br /&gt;
EDOs: 37, 93, 103, 130, 233, 270, 643&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-11-limit children-Zisa"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Zisa&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-11-limit children-Zisa"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Zisa&lt;/h3&gt;
Commas: 2401/2400, 5632/5625&lt;br /&gt;
Commas: 2401/2400, 5632/5625&lt;br /&gt;
&lt;br /&gt;
EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
13-limit&lt;br /&gt;
Commas: 2401/2400, 5632/5625, 4096/4095&lt;br /&gt;
Commas: 2401/2400, 5632/5625, 4096/4095&lt;br /&gt;
&lt;br /&gt;
EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x-11-limit children-Frigg"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Frigg&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x-11-limit children-Frigg"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Frigg&lt;/h3&gt;
Commas: 2401/2400, 644204/643125&lt;br /&gt;
Commas: 2401/2400, 644204/643125&lt;br /&gt;
&lt;br /&gt;
EDOs: 51, 58, 103, 161, 212, 270, 643, 913&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
13-limit &lt;br /&gt;
13-limit &lt;br /&gt;
Commas: 2401/2400, 10648/10647, 1001/1000&lt;/body&gt;&lt;/html&gt;</pre></div>
Commas: 2401/2400, 10648/10647, 1001/1000&lt;br /&gt;
&lt;br /&gt;
EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 17:35, 13 December 2010

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2010-12-13 17:35:03 UTC.
The original revision id was 187861883.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

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.

===Vital statistics===
[[Comma]] c = 2401/2400
7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat
[[Eigenmonzo|Eigenmonzos]]: 2, 6/5, 5/4
Lattice basis: 49/40 length 0.7858 8/7 length 1.1241
Angle(49/40, 8/7) = 107.367 degrees
Map to lattice: [<0 2 -1 0|, <0 0 -2 -1|]
Map [<1 1 1 2|, <0 2 1 1|, <0 0 2 1|]
[[Generator|Generators]]: 2, 49/40, 10/7
[[edo|EDOs]]: [[441edo|441]], [[612edo|612]], [[2308edo|2308]], [[2749edo|2749]]

Scales: [[breed11]]

==11-limit children==

===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.

11-limit
[[Comma|Commas]]: 243/242, 441/440

[[Minimax tuning]]
[|1 0 0 0 0>, |1/5 0 0 0 2/5>, 
|13/5 0 2 -2 1/5>, |13/5 0 1 -1 1/5>, 
|0 0 0 0 1>]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5, 11/8

EDOs: 31, 41, 58, 72, 130, 202

13-limit
[[Comma|Commas]]: 243/242, 441/440, 364/363

13-limit minimax
[|1 0 0 0 0 0>, |17/11 -12/11 2/11 0 0 4/11>, |34/11 -46/11 15/11 0 0 8/11>, 
|35/11 -26/11 8/11 0 0 5/11>, 
|37/11 -30/11 5/11 0 0 10/11>, 
|34/11 -46/11 4/11 0 0 19/11>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/9

15-limit minimax
[|1 0 0 0 0 0>, |2 -1/4 1/2 -3/4 0 1/4>, 
|7/2 -1/8 9/4 -19/8 0 1/8>, 
|7/2 -1/8 5/4 -11/8 0 1/8>, 
|9/2 -5/8 5/4 -15/8 0 5/8>,
|11/2 -11/8 7/4 -25/8 0 11/8>]
[[Eigenmonzo|Eigenmonzos]]: 2, 15/13, 7/5

EDOs: 41, 58, 72, 130, 243

====Jofur====
Commas: 243/242, 441/440, 144/143

EDOs: 10, 31, 41, 58

17-limit
Commas: 243/242, 441/440, 364/363, 595/594

17-limit minimax
[|1 0 0 0 0 0 0>, |3/7 -2 6/7 0 0 0 4/7>, 
|3/7 -3 13/7 0 0 0 4/7>, |11/7 -2 8/7 0 0 0 3/7>, 
|4/7 -5 15/7 0 0 0 10/7>, |-2 -10 4 0 0 0 3>, 
|6/7 -6 12/7 0 0 0 15/7>]
[[Eigenmonzo|Eigenmonzos]]: 2, 18/17, 6/5

Map: [<1 1 1 2 2 1 3|, <0 2 1 1 5 11 9|, <0 0 2 1 0 -1 -3|]
[[Generator|Generators]]: 2, 11/9, 10/7
[[edo|Edos]]: [[72edo|72]], [[130edo|130]], [[171edo|171]], [[243edo|243]], [[274edo|274]], [[346edo|346]], [[435edo|435]], [[476edo|476]]

===Freya===
11-limit
[[Comma|Commas]]: 2401/2400, 3025/3024

11-limit minimax
[|1 0 0 0 0>, |0 1 0 0 0>, 
|11/10 11/10 0 4/5 -4/5>, 
|9/5 4/5 0 2/5 -2/5>, |9/5 4/5 0 -3/5 3/5>]
[[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 4/3

EDOs: 10, 31, 41, 72, 167, 198, 239, 270, 342, 612, 954, 1566

13-limit
Commas: 2401/2400, 3025/3024, 4096/4095

Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -2 3|]
[[Generator|Generators]]: 2, 49/40, 55/42
[[edo|Edos]]: 10, 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615

===Baldur===
[[Comma|Commas]]: 2401/2400, 9801/9800

11-limit minimax
[|1 0 0 0 0>, |3/4 0 1/2 1/2 -1/2>, 
|0 0 1 0 0>, |23/16 0 5/8 1/8 -1/8>, 
|23/16 0 5/8 -7/8 7/8>]
[[Eigenmonzo|Eigenmonzos]]: 5/4, 14/11

Map: [<2 0 1 3 7|, <0 2 1 1 -2|, <0 0 2 1 3|]
[[Generator|Generators]]: 99/70, 343/198, 10/7

EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696

13-limit
Commas: 2401/2400, 9801/9800, 1001/1000

[[edo|Edos]]: 58, 72, 130, 198, 270, 940

===Agni===
[[Comma|Commas]]: 385/384, 1375/1372

11-limit minimax
[|1 0 0 0 0>, |0 1 0 0 0>, 
|23/10 3/10 2/5 0 -2/5>, 
|12/5 2/5 1/5 0 -1/5>, 
|23/10 3/10 -3/5 0 3/5>]
[[Eigenmonzo|Eigenmonzos]]: 2, 4/3, 11/10

Lattice basis: 49/40 length 0.756, 10/7 length 0.819
Angle(49/40, 10/7) = 106.460 degrees
Map to lattice: [<0 2 1 1 0|, <0 0 2 1 -3|]

Map: [<1 1 1 2 5|, <0 2 1 1 0|, <0 0 2 1 -3|]
[[Generator|Generators]]: 2, 49/40, 10/7
[[edo|Edos]]: 27, 31, 41, 68, 72, 140, 181, [[212edo|212]], [[284edo|284]]

13-limit
Commas: 385/384, 1375/1372, 625/624

EDOs: 31, 68, 72, 103, 140, 212

===Vili===
Commas: 2401/2400, 391314/390625

EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583

13-limit
Commas: 2401/2400, 10985/10976, 1001/1000

EDOs: 37, 93, 103, 130, 233, 270, 643

===Zisa===
Commas: 2401/2400, 5632/5625

EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210

13-limit
Commas: 2401/2400, 5632/5625, 4096/4095

EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241

===Frigg===
Commas: 2401/2400, 644204/643125

EDOs: 51, 58, 103, 161, 212, 270, 643, 913

13-limit 
Commas: 2401/2400, 10648/10647, 1001/1000

EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344

Original HTML content:

<html><head><title>Breed family</title></head><body>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.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3>
<a class="wiki_link" href="/Comma">Comma</a> c = 2401/2400<br />
7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 6/5, 5/4<br />
Lattice basis: 49/40 length 0.7858 8/7 length 1.1241<br />
Angle(49/40, 8/7) = 107.367 degrees<br />
Map to lattice: [&lt;0 2 -1 0|, &lt;0 0 -2 -1|]<br />
Map [&lt;1 1 1 2|, &lt;0 2 1 1|, &lt;0 0 2 1|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 49/40, 10/7<br />
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/441edo">441</a>, <a class="wiki_link" href="/612edo">612</a>, <a class="wiki_link" href="/2308edo">2308</a>, <a class="wiki_link" href="/2749edo">2749</a><br />
<br />
Scales: <a class="wiki_link" href="/breed11">breed11</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-11-limit children"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit children</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-11-limit children-Jove, aka Wonder"></a><!-- ws:end:WikiTextHeadingRule:4 -->Jove, aka Wonder</h3>
 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.<br />
<br />
11-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: 243/242, 441/440<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |1/5 0 0 0 2/5&gt;, <br />
|13/5 0 2 -2 1/5&gt;, |13/5 0 1 -1 1/5&gt;, <br />
|0 0 0 0 1&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5, 11/8<br />
<br />
EDOs: 31, 41, 58, 72, 130, 202<br />
<br />
13-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: 243/242, 441/440, 364/363<br />
<br />
13-limit minimax<br />
[|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;, <br />
|35/11 -26/11 8/11 0 0 5/11&gt;, <br />
|37/11 -30/11 5/11 0 0 10/11&gt;, <br />
|34/11 -46/11 4/11 0 0 19/11&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 13/9<br />
<br />
15-limit minimax<br />
[|1 0 0 0 0 0&gt;, |2 -1/4 1/2 -3/4 0 1/4&gt;, <br />
|7/2 -1/8 9/4 -19/8 0 1/8&gt;, <br />
|7/2 -1/8 5/4 -11/8 0 1/8&gt;, <br />
|9/2 -5/8 5/4 -15/8 0 5/8&gt;,<br />
|11/2 -11/8 7/4 -25/8 0 11/8&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 15/13, 7/5<br />
<br />
EDOs: 41, 58, 72, 130, 243<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h4&gt; --><h4 id="toc3"><a name="x-11-limit children-Jove, aka Wonder-Jofur"></a><!-- ws:end:WikiTextHeadingRule:6 -->Jofur</h4>
Commas: 243/242, 441/440, 144/143<br />
<br />
EDOs: 10, 31, 41, 58<br />
<br />
17-limit<br />
Commas: 243/242, 441/440, 364/363, 595/594<br />
<br />
17-limit minimax<br />
[|1 0 0 0 0 0 0&gt;, |3/7 -2 6/7 0 0 0 4/7&gt;, <br />
|3/7 -3 13/7 0 0 0 4/7&gt;, |11/7 -2 8/7 0 0 0 3/7&gt;, <br />
|4/7 -5 15/7 0 0 0 10/7&gt;, |-2 -10 4 0 0 0 3&gt;, <br />
|6/7 -6 12/7 0 0 0 15/7&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 18/17, 6/5<br />
<br />
Map: [&lt;1 1 1 2 2 1 3|, &lt;0 2 1 1 5 11 9|, &lt;0 0 2 1 0 -1 -3|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 11/9, 10/7<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/130edo">130</a>, <a class="wiki_link" href="/171edo">171</a>, <a class="wiki_link" href="/243edo">243</a>, <a class="wiki_link" href="/274edo">274</a>, <a class="wiki_link" href="/346edo">346</a>, <a class="wiki_link" href="/435edo">435</a>, <a class="wiki_link" href="/476edo">476</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-11-limit children-Freya"></a><!-- ws:end:WikiTextHeadingRule:8 -->Freya</h3>
11-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 3025/3024<br />
<br />
11-limit minimax<br />
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, <br />
|11/10 11/10 0 4/5 -4/5&gt;, <br />
|9/5 4/5 0 2/5 -2/5&gt;, |9/5 4/5 0 -3/5 3/5&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 14/11, 4/3<br />
<br />
EDOs: 10, 31, 41, 72, 167, 198, 239, 270, 342, 612, 954, 1566<br />
<br />
13-limit<br />
Commas: 2401/2400, 3025/3024, 4096/4095<br />
<br />
Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -2 3|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 49/40, 55/42<br />
<a class="wiki_link" href="/edo">Edos</a>: 10, 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-11-limit children-Baldur"></a><!-- ws:end:WikiTextHeadingRule:10 -->Baldur</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 9801/9800<br />
<br />
11-limit minimax<br />
[|1 0 0 0 0&gt;, |3/4 0 1/2 1/2 -1/2&gt;, <br />
|0 0 1 0 0&gt;, |23/16 0 5/8 1/8 -1/8&gt;, <br />
|23/16 0 5/8 -7/8 7/8&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 5/4, 14/11<br />
<br />
Map: [&lt;2 0 1 3 7|, &lt;0 2 1 1 -2|, &lt;0 0 2 1 3|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 99/70, 343/198, 10/7<br />
<br />
EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696<br />
<br />
13-limit<br />
Commas: 2401/2400, 9801/9800, 1001/1000<br />
<br />
<a class="wiki_link" href="/edo">Edos</a>: 58, 72, 130, 198, 270, 940<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x-11-limit children-Agni"></a><!-- ws:end:WikiTextHeadingRule:12 -->Agni</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 385/384, 1375/1372<br />
<br />
11-limit minimax<br />
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, <br />
|23/10 3/10 2/5 0 -2/5&gt;, <br />
|12/5 2/5 1/5 0 -1/5&gt;, <br />
|23/10 3/10 -3/5 0 3/5&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 4/3, 11/10<br />
<br />
Lattice basis: 49/40 length 0.756, 10/7 length 0.819<br />
Angle(49/40, 10/7) = 106.460 degrees<br />
Map to lattice: [&lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]<br />
<br />
Map: [&lt;1 1 1 2 5|, &lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 49/40, 10/7<br />
<a class="wiki_link" href="/edo">Edos</a>: 27, 31, 41, 68, 72, 140, 181, <a class="wiki_link" href="/212edo">212</a>, <a class="wiki_link" href="/284edo">284</a><br />
<br />
13-limit<br />
Commas: 385/384, 1375/1372, 625/624<br />
<br />
EDOs: 31, 68, 72, 103, 140, 212<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x-11-limit children-Vili"></a><!-- ws:end:WikiTextHeadingRule:14 -->Vili</h3>
Commas: 2401/2400, 391314/390625<br />
<br />
EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583<br />
<br />
13-limit<br />
Commas: 2401/2400, 10985/10976, 1001/1000<br />
<br />
EDOs: 37, 93, 103, 130, 233, 270, 643<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x-11-limit children-Zisa"></a><!-- ws:end:WikiTextHeadingRule:16 -->Zisa</h3>
Commas: 2401/2400, 5632/5625<br />
<br />
EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210<br />
<br />
13-limit<br />
Commas: 2401/2400, 5632/5625, 4096/4095<br />
<br />
EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x-11-limit children-Frigg"></a><!-- ws:end:WikiTextHeadingRule:18 -->Frigg</h3>
Commas: 2401/2400, 644204/643125<br />
<br />
EDOs: 51, 58, 103, 161, 212, 270, 643, 913<br />
<br />
13-limit <br />
Commas: 2401/2400, 10648/10647, 1001/1000<br />
<br />
EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344</body></html>
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