Mirkwai family: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>xenwolf
**Imported revision 165352145 - Original comment: links added**
Wikispaces>genewardsmith
**Imported revision 166304979 - Original comment: **
Line 1: Line 1:
<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:xenwolf|xenwolf]] and made on <tt>2010-09-25 12:30:43 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-29 03:56:17 UTC</tt>.<br>
: The original revision id was <tt>165352145</tt>.<br>
: The original revision id was <tt>166304979</tt>.<br>
: The revision comment was: <tt>links added</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
Line 39: Line 39:
Map: [&lt;1 0 0 0 2|, &lt;0 1 3 3 0|, &lt;0 0 -5 -4 3|]
Map: [&lt;1 0 0 0 2|, &lt;0 1 3 3 0|, &lt;0 0 -5 -4 3|]
[[Generator|Generators]]: 2, 3, 7/5
[[Generator|Generators]]: 2, 3, 7/5
[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]]</pre></div>
[[edo|Edos]]: [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]]
 
13-limit
Commas: 540/539, 1375/1372, 625/624
 
Commas: 540/539, 1375/1372, 729/728
 
Commas: 540/539, 1375/1372, 351/350
 
Commas: 540/539, 1375/1372, 325/324
</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;Mirkwai family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h3&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;Mirkwai family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h3&gt;
Line 74: Line 84:
Map: [&amp;lt;1 0 0 0 2|, &amp;lt;0 1 3 3 0|, &amp;lt;0 0 -5 -4 3|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 0 2|, &amp;lt;0 1 3 3 0|, &amp;lt;0 0 -5 -4 3|]&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 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;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/152edo"&gt;152&lt;/a&gt;, &lt;a class="wiki_link" href="/224edo"&gt;224&lt;/a&gt;, &lt;a class="wiki_link" href="/296edo"&gt;296&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/152edo"&gt;152&lt;/a&gt;, &lt;a class="wiki_link" href="/224edo"&gt;224&lt;/a&gt;, &lt;a class="wiki_link" href="/296edo"&gt;296&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
13-limit&lt;br /&gt;
Commas: 540/539, 1375/1372, 625/624&lt;br /&gt;
&lt;br /&gt;
Commas: 540/539, 1375/1372, 729/728&lt;br /&gt;
&lt;br /&gt;
Commas: 540/539, 1375/1372, 351/350&lt;br /&gt;
&lt;br /&gt;
Commas: 540/539, 1375/1372, 325/324&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 03:56, 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 genewardsmith and made on 2010-09-29 03:56:17 UTC.
The original revision id was 166304979.
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
Commas: 540/539, 1375/1372, 625/624

Commas: 540/539, 1375/1372, 729/728

Commas: 540/539, 1375/1372, 351/350

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 />
Commas: 540/539, 1375/1372, 625/624<br />
<br />
Commas: 540/539, 1375/1372, 729/728<br />
<br />
Commas: 540/539, 1375/1372, 351/350<br />
<br />
Commas: 540/539, 1375/1372, 325/324</body></html>