Mirkwai family: Difference between revisions

Revision as of 17:05, 29 September 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 xenwolf and made on 2010-09-29 17:05:51 UTC.

The original revision id was 166520255.

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:

===Vital statistics===
[[Comma]]: mirkwai 16875/16807

7-limit minimax
[|1 0 0 0>, |0 4/7 -4/7 5/7>, 
|0 -3/7 3/7 5/7>, |0 0 0 1>]
[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 6/5

9-limit minimax
[|1 0 0 0>, |0 8/11 -4/11 5/11>, 
|0 -6/11 3/11 10/11>, |0 0 0 1>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 8/7

Map: [<1 0 0 0|, <0 1 3 3|, <0 0 -5 -4|]
[[Generator|Generators]]: 2, 3, 7/5
[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[193edo|193]], [[224edo|224]], [[296edo|296]], [[327edo|327]], [[775edo|775]]

==11-limit children==

===Indra===
[[Comma|Commas]]: 540/539, 1375/1372

[[Minimax tuning]]
[|1 0 0 0 0>, |10 10 -3 0 -5>, |0 0 1 0 0>, 
|6 6 -1 0 -3>, |20 18 -6 0 -9>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 5/4

Lattice basis: 15/14 length 0.6184 55/36 length 0.7585
Angle(15/14, 55/36) = 68.1048 cents
Map to lattice: [<0 2 1 2 3|, <0 -1 2 1 -3|]

Map: [<1 0 0 0 2|, <0 1 3 3 0|, <0 0 -5 -4 3|]
[[Generator|Generators]]: 2, 3, 7/5
[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]]

13-limit

====Yajna====
[[Comma|Commas]]: 540/539, 1375/1372, 625/624

13-limit minimax
[|1 0 0 0 0 0>, |4/5 6/5 -4/5 0 0 1/5>, 
|8/5 2/5 -3/5 0 0 2/5>, 
|44/25 26/25 -24/25 0 0 11/25>, 
|62/25 48/25 -27/25 0 0 3/25>, 
|8/5 2/5 -8/5 0 0 7/5>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/10

15-limit minimax
[|1 0 0 0 0 0>, |0 1 0 0 0 0>, 
|5/4 1/2 0 -5/16 0 5/16>,
|1 1 0 -1/4 0 1/4>, 
|5/4 3/2 0 3/16 0 -3/16>, 
|1 1 0 -5/4 0 5/4>]
[[Eigenmonzo|Eigenmonzos]]: 2, 14/13, 4/3

Map: [<1 0 0 0 2 -4|, <0 1 3 3 0 11|, <0 0 -5 -4 3 -20|]
[[Generator|Generators]]: 2, 3, 7/5
[[edo|Edos]]: [[31edo|31]], [[72edo|72]], [[103edo|103]], [[193edo|193]], 224, 296, 520

====Shibi====
[[Comma|Commas]]: 540/539, 1375/1372, 729/728

====Vibhu====
[[Comma|Commas]]: 540/539, 1375/1372, 351/350

====Vish====
[[Comma|Commas]]: 540/539, 1375/1372, 325/324

Original HTML content:

<html><head><title>Mirkwai family</title></head><body><!-- 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>: mirkwai 16875/16807<br />
<br />
7-limit minimax<br />
[|1 0 0 0&gt;, |0 4/7 -4/7 5/7&gt;, <br />
|0 -3/7 3/7 5/7&gt;, |0 0 0 1&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 8/7, 6/5<br />
<br />
9-limit minimax<br />
[|1 0 0 0&gt;, |0 8/11 -4/11 5/11&gt;, <br />
|0 -6/11 3/11 10/11&gt;, |0 0 0 1&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 8/7<br />
<br />
Map: [&lt;1 0 0 0|, &lt;0 1 3 3|, &lt;0 0 -5 -4|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 7/5<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/193edo">193</a>, <a class="wiki_link" href="/224edo">224</a>, <a class="wiki_link" href="/296edo">296</a>, <a class="wiki_link" href="/327edo">327</a>, <a class="wiki_link" href="/775edo">775</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-Indra"></a><!-- ws:end:WikiTextHeadingRule:4 -->Indra</h3>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br />
[|1 0 0 0 0&gt;, |10 10 -3 0 -5&gt;, |0 0 1 0 0&gt;, <br />
|6 6 -1 0 -3&gt;, |20 18 -6 0 -9&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9, 5/4<br />
<br />
Lattice basis: 15/14 length 0.6184 55/36 length 0.7585<br />
Angle(15/14, 55/36) = 68.1048 cents<br />
Map to lattice: [&lt;0 2 1 2 3|, &lt;0 -1 2 1 -3|]<br />
<br />
Map: [&lt;1 0 0 0 2|, &lt;0 1 3 3 0|, &lt;0 0 -5 -4 3|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 7/5<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/224edo">224</a>, <a class="wiki_link" href="/296edo">296</a><br />
<br />
13-limit<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h4&gt; --><h4 id="toc3"><a name="x-11-limit children-Indra-Yajna"></a><!-- ws:end:WikiTextHeadingRule:6 -->Yajna</h4>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372, 625/624<br />
<br />
13-limit minimax<br />
[|1 0 0 0 0 0&gt;, |4/5 6/5 -4/5 0 0 1/5&gt;, <br />
|8/5 2/5 -3/5 0 0 2/5&gt;, <br />
|44/25 26/25 -24/25 0 0 11/25&gt;, <br />
|62/25 48/25 -27/25 0 0 3/25&gt;, <br />
|8/5 2/5 -8/5 0 0 7/5&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 13/10<br />
<br />
15-limit minimax<br />
[|1 0 0 0 0 0&gt;, |0 1 0 0 0 0&gt;, <br />
|5/4 1/2 0 -5/16 0 5/16&gt;,<br />
|1 1 0 -1/4 0 1/4&gt;, <br />
|5/4 3/2 0 3/16 0 -3/16&gt;, <br />
|1 1 0 -5/4 0 5/4&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 14/13, 4/3<br />
<br />
Map: [&lt;1 0 0 0 2 -4|, &lt;0 1 3 3 0 11|, &lt;0 0 -5 -4 3 -20|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 7/5<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/103edo">103</a>, <a class="wiki_link" href="/193edo">193</a>, 224, 296, 520<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h4&gt; --><h4 id="toc4"><a name="x-11-limit children-Indra-Shibi"></a><!-- ws:end:WikiTextHeadingRule:8 -->Shibi</h4>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372, 729/728<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h4&gt; --><h4 id="toc5"><a name="x-11-limit children-Indra-Vibhu"></a><!-- ws:end:WikiTextHeadingRule:10 -->Vibhu</h4>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372, 351/350<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h4&gt; --><h4 id="toc6"><a name="x-11-limit children-Indra-Vish"></a><!-- ws:end:WikiTextHeadingRule:12 -->Vish</h4>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372, 325/324</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2010-09-29 14:59:58 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-29 17:05:51 UTC</tt>.<br>
-: The original revision id was <tt>166482393</tt>.<br>
+: The original revision id was <tt>166520255</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>
@@ Line 44: / Line 44: @@
 ====Yajna====
-Commas: 540/539, 1375/1372, 625/624
+[[Comma|Commas]]: 540/539, 1375/1372, 625/624
 -limit minimax
@@ Line 52: / Line 52: @@
 |62/25 48/25 -27/25 0 0 3/25&gt;,
 |8/5 2/5 -8/5 0 0 7/5&gt;]
-Eigenmonzos: 2, 10/9, 13/10
+[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/10
 -limit minimax
@@ Line 60: / Line 60: @@
 |5/4 3/2 0 3/16 0 -3/16&gt;,
 |1 1 0 -5/4 0 5/4&gt;]
-Eigenmonzos: 2, 14/13, 4/3
+[[Eigenmonzo|Eigenmonzos]]: 2, 14/13, 4/3
 Map: [&lt;1 0 0 0 2 -4|, &lt;0 1 3 3 0 11|, &lt;0 0 -5 -4 3 -20|]
-Generators: 2, 3, 7/5
+[[Generator|Generators]]: 2, 3, 7/5
-Edos: 31, 72, 103, 193, 224, 296, 520
+[[edo|Edos]]: [[31edo|31]], [[72edo|72]], [[103edo|103]], [[193edo|193]], 224, 296, 520
 ====Shibi====
-Commas: 540/539, 1375/1372, 729/728
+[[Comma|Commas]]: 540/539, 1375/1372, 729/728
 ====Vibhu====
-Commas: 540/539, 1375/1372, 351/350
+[[Comma|Commas]]: 540/539, 1375/1372, 351/350
 ====Vish====
-Commas: 540/539, 1375/1372, 325/324
+[[Comma|Commas]]: 540/539, 1375/1372, 325/324
 </pre></div>
 <h4>Original HTML content:</h4>
@@ Line 114: / Line 114: @@
 &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-Indra-Yajna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Yajna&lt;/h4&gt;
-Commas: 540/539, 1375/1372, 625/624&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372, 625/624&lt;br /&gt;
 &lt;br /&gt;
 -limit minimax&lt;br /&gt;
@@ Line 122: / Line 122: @@
 |62/25 48/25 -27/25 0 0 3/25&amp;gt;, &lt;br /&gt;
 |8/5 2/5 -8/5 0 0 7/5&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 10/9, 13/10&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 13/10&lt;br /&gt;
 &lt;br /&gt;
 -limit minimax&lt;br /&gt;
@@ Line 130: / Line 130: @@
 |5/4 3/2 0 3/16 0 -3/16&amp;gt;, &lt;br /&gt;
 |1 1 0 -5/4 0 5/4&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 14/13, 4/3&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 14/13, 4/3&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 0 0 0 2 -4|, &amp;lt;0 1 3 3 0 11|, &amp;lt;0 0 -5 -4 3 -20|]&lt;br /&gt;
-Generators: 2, 3, 7/5&lt;br /&gt;
+&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 7/5&lt;br /&gt;
-Edos: 31, 72, 103, 193, 224, 296, 520&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/103edo"&gt;103&lt;/a&gt;, &lt;a class="wiki_link" href="/193edo"&gt;193&lt;/a&gt;, 224, 296, 520&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc4"&gt;&lt;a name="x-11-limit children-Indra-Shibi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Shibi&lt;/h4&gt;
-Commas: 540/539, 1375/1372, 729/728&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372, 729/728&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc5"&gt;&lt;a name="x-11-limit children-Indra-Vibhu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Vibhu&lt;/h4&gt;
-Commas: 540/539, 1375/1372, 351/350&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372, 351/350&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc6"&gt;&lt;a name="x-11-limit children-Indra-Vish"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Vish&lt;/h4&gt;
-Commas: 540/539, 1375/1372, 325/324&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372, 325/324&lt;/body&gt;&lt;/html&gt;</pre></div>

Mirkwai family: Difference between revisions

Revision as of 17:05, 29 September 2010

IMPORTED REVISION FROM WIKISPACES

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