Mirkwai family: Difference between revisions

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**Imported revision 190464866 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 247712165 - 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>2011-01-02 04:17:41 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-22 13:35:13 UTC</tt>.<br>
: The original revision id was <tt>190464866</tt>.<br>
: The original revision id was <tt>247712165</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>
<h4>Original Wikitext content:</h4>
<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">===Vital statistics===
<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">[[toc|flat]]
 
The mirkwai family of [[planar temperament]]s tempers out the mirkwai comma, 16875/16807.
 
=Vital statistics=
[[Comma]]: mirkwai 16875/16807
[[Comma]]: mirkwai 16875/16807


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Badness: 0.000342
Badness: 0.000342


==Indra==
[[Projection pair]]s: 5 84375/16807 7 16875/2401 to 2.3.7/5
 
=Indra=
[[Comma|Commas]]: 540/539, 1375/1372
[[Comma|Commas]]: 540/539, 1375/1372


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[[edo|Edos]]: 31, 41, [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]], [[703edo|703]]
[[edo|Edos]]: 31, 41, [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]], [[703edo|703]]
Badness: 0.000266
Badness: 0.000266
[[Projection pair]]s: 5 84375/16807 7 16875/2401 11 1372/125 to 2.3.7/5


Scales: [[indra31]]
Scales: [[indra31]]


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


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Badness: 0.000721
Badness: 0.000721


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


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Badness: 0.000700
Badness: 0.000700


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


===Vish===
==Vish==
[[Comma|Commas]]: 540/539, 1375/1372, 325/324
[[Comma|Commas]]: 540/539, 1375/1372, 325/324
</pre></div>
</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:WikiTextTocRule:12:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;a href="#Vital statistics"&gt;Vital statistics&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt; | &lt;a href="#Indra"&gt;Indra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;br /&gt;
The mirkwai family of &lt;a class="wiki_link" href="/planar%20temperament"&gt;planar temperament&lt;/a&gt;s tempers out the mirkwai comma, 16875/16807.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h1&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: mirkwai 16875/16807&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: mirkwai 16875/16807&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.000342&lt;br /&gt;
Badness: 0.000342&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Indra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Indra&lt;/h2&gt;
&lt;a class="wiki_link" href="/Projection%20pair"&gt;Projection pair&lt;/a&gt;s: 5 84375/16807 7 16875/2401 to 2.3.7/5&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Indra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Indra&lt;/h1&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 1375/1372&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 31, 41, &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;a class="wiki_link" href="/703edo"&gt;703&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: 31, 41, &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;a class="wiki_link" href="/703edo"&gt;703&lt;/a&gt;&lt;br /&gt;
Badness: 0.000266&lt;br /&gt;
Badness: 0.000266&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Projection%20pair"&gt;Projection pair&lt;/a&gt;s: 5 84375/16807 7 16875/2401 11 1372/125 to 2.3.7/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/indra31"&gt;indra31&lt;/a&gt;&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/indra31"&gt;indra31&lt;/a&gt;&lt;br /&gt;
&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-Indra-Shibi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Shibi&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Indra-Shibi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Shibi&lt;/h2&gt;
Commas: 540/539, 729/728, 1375/1372&lt;br /&gt;
Commas: 540/539, 729/728, 1375/1372&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.000721&lt;br /&gt;
Badness: 0.000721&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Indra-Yajna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Yajna&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Indra-Yajna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Yajna&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 625/624, 1375/1372&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 540/539, 625/624, 1375/1372&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Badness: 0.000700&lt;br /&gt;
Badness: 0.000700&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Indra-Vibhu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Vibhu&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Indra-Vibhu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Vibhu&lt;/h2&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 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;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Indra-Vish"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Vish&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Indra-Vish"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Vish&lt;/h2&gt;
&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>
&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>

Revision as of 13:35, 22 August 2011

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 2011-08-22 13:35:13 UTC.
The original revision id was 247712165.
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:

[[toc|flat]]

The mirkwai family of [[planar temperament]]s tempers out the mirkwai comma, 16875/16807.

=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]]
Badness: 0.000342

[[Projection pair]]s: 5 84375/16807 7 16875/2401 to 2.3.7/5

=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]]: 31, 41, [[72edo|72]], [[152edo|152]], [[224edo|224]], [[296edo|296]], [[703edo|703]]
Badness: 0.000266

[[Projection pair]]s: 5 84375/16807 7 16875/2401 11 1372/125 to 2.3.7/5

Scales: [[indra31]]

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

Map: [<1 0 0 0 2 -4 -3|, <0 1 3 3 0 11 3|, <0 0 -5 -4 3 4|]
EDOs: 41, 72, 111, 183, 224, 703
Badness: 0.000721

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

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, 703
Badness: 0.000700

==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:WikiTextTocRule:12:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --><a href="#Vital statistics">Vital statistics</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Indra">Indra</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --><!-- ws:end:WikiTextTocRule:16 --><!-- ws:start:WikiTextTocRule:17: --><!-- ws:end:WikiTextTocRule:17 --><!-- ws:start:WikiTextTocRule:18: --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: -->
<!-- ws:end:WikiTextTocRule:19 --><br />
The mirkwai family of <a class="wiki_link" href="/planar%20temperament">planar temperament</a>s tempers out the mirkwai comma, 16875/16807.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h1>
<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 />
Badness: 0.000342<br />
<br />
<a class="wiki_link" href="/Projection%20pair">Projection pair</a>s: 5 84375/16807 7 16875/2401 to 2.3.7/5<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Indra"></a><!-- ws:end:WikiTextHeadingRule:2 -->Indra</h1>
<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>: 31, 41, <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>, <a class="wiki_link" href="/703edo">703</a><br />
Badness: 0.000266<br />
<br />
<a class="wiki_link" href="/Projection%20pair">Projection pair</a>s: 5 84375/16807 7 16875/2401 11 1372/125 to 2.3.7/5<br />
<br />
Scales: <a class="wiki_link" href="/indra31">indra31</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Indra-Shibi"></a><!-- ws:end:WikiTextHeadingRule:4 -->Shibi</h2>
Commas: 540/539, 729/728, 1375/1372<br />
<br />
Map: [&lt;1 0 0 0 2 -4 -3|, &lt;0 1 3 3 0 11 3|, &lt;0 0 -5 -4 3 4|]<br />
EDOs: 41, 72, 111, 183, 224, 703<br />
Badness: 0.000721<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Indra-Yajna"></a><!-- ws:end:WikiTextHeadingRule:6 -->Yajna</h2>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 625/624, 1375/1372<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, 703<br />
Badness: 0.000700<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Indra-Vibhu"></a><!-- ws:end:WikiTextHeadingRule:8 -->Vibhu</h2>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372, 351/350<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Indra-Vish"></a><!-- ws:end:WikiTextHeadingRule:10 -->Vish</h2>
<a class="wiki_link" href="/Comma">Commas</a>: 540/539, 1375/1372, 325/324</body></html>