Vishnuzmic family: Difference between revisions

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**Imported revision 259916442 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 293070464 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-09-30 05:00:39 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-17 21:21:43 UTC</tt>.<br>
: The original revision id was <tt>259916442</tt>.<br>
: The original revision id was <tt>293070464</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">The //vishnuzmic family// of temperaments tempers out the vishnuzma, |23 6 -14&gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven [[25_24|just chromatic semitones]] of size 25/24 fall short of a [[4_3|just perfect fourth]] of 4/3, or in other words (4/3)/(25/24)^7.
<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 //vishnuzmic family// of temperaments tempers out the vishnuzma, |23 6 -14&gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven [[25_24|just chromatic semitones]] of size 25/24 fall short of a [[4_3|just perfect fourth]] of 4/3, or in other words (4/3)/(25/24)^7.


Comma: 6115295232/6103515625
Comma: 6115295232/6103515625
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Badness: 0.0158</pre></div>
Badness: 0.0158</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;Vishnuzmic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;vishnuzmic family&lt;/em&gt; of temperaments tempers out the vishnuzma, |23 6 -14&amp;gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven &lt;a class="wiki_link" href="/25_24"&gt;just chromatic semitones&lt;/a&gt; of size 25/24 fall short of a &lt;a class="wiki_link" href="/4_3"&gt;just perfect fourth&lt;/a&gt; of 4/3, or in other words (4/3)/(25/24)^7.&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;Vishnuzmic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:8:&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:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;a href="#Vishnu"&gt;Vishnu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;
&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;br /&gt;
The &lt;em&gt;vishnuzmic family&lt;/em&gt; of temperaments tempers out the vishnuzma, |23 6 -14&amp;gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven &lt;a class="wiki_link" href="/25_24"&gt;just chromatic semitones&lt;/a&gt; of size 25/24 fall short of a &lt;a class="wiki_link" href="/4_3"&gt;just perfect fourth&lt;/a&gt; of 4/3, or in other words (4/3)/(25/24)^7.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Comma: 6115295232/6103515625&lt;br /&gt;
Comma: 6115295232/6103515625&lt;br /&gt;

Revision as of 21:21, 17 January 2012

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 2012-01-17 21:21:43 UTC.
The original revision id was 293070464.
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 //vishnuzmic family// of temperaments tempers out the vishnuzma, |23 6 -14> = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven [[25_24|just chromatic semitones]] of size 25/24 fall short of a [[4_3|just perfect fourth]] of 4/3, or in other words (4/3)/(25/24)^7.

Comma: 6115295232/6103515625

POTE generator: ~25/24 = 71.1432

Map: [<2 4 5|, <0 -7 -3|]
EDOs: [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[84edo|84]], [[118edo|118]], [[152edo|152]], [[270edo|270]], [[388edo|380]], [[422edo]], 506, 894, 1400
Badness: 0.0312

=Vishnu=
Commas: 4375/4374, 29360128/29296875

POTE generator: ~25/24 = 71.1075

Map: [<2 4 5 10|, <0 -7 -3 -37|]
EDOs: 118, 152, 270, [[1232edo|1232]], [[1502edo|1502]]
Badness: 0.0419

==11-limit==
Commas: 3025/3024, 4375/4374, 5632/5625

POTE generator: ~25/24 = 71.1048

Map: [<2 4 5 10 10|, <0 -7 -3 -37 -26|]
EDOs: 118, 152, 270, [[422edo]], [[962edo|962]], 1232, 1502
Badness: 0.0142

==Ananta==
Commas: 1001/1000, 3025/3024, 4096/4095, 4375/4374

POTE generator: ~25/24 = 71.1170

Map: [<2 4 5 10 10 1|, <0 -7 -3 -37 -26 54|]
EDOs: 118, 152, 270, 928, 1198, 1468
Badness: 0.0237

==Acyuta==
Commas: 1716/1715, 2080/2079, 3025/3024, 5632/5625

POTE generator: ~25/24 = 71.1001

Map: [<2 4 5 10 10 17|, <0 -7 -3 -37 -26 -81|]
EDOs: 270, [[682edo|692]], 962
Badness: 0.0158

Original HTML content:

<html><head><title>Vishnuzmic family</title></head><body><!-- ws:start:WikiTextTocRule:8:&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:8 --><!-- ws:start:WikiTextTocRule:9: --><a href="#Vishnu">Vishnu</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: -->
<!-- ws:end:WikiTextTocRule:13 --><br />
The <em>vishnuzmic family</em> of temperaments tempers out the vishnuzma, |23 6 -14&gt; = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven <a class="wiki_link" href="/25_24">just chromatic semitones</a> of size 25/24 fall short of a <a class="wiki_link" href="/4_3">just perfect fourth</a> of 4/3, or in other words (4/3)/(25/24)^7.<br />
<br />
Comma: 6115295232/6103515625<br />
<br />
POTE generator: ~25/24 = 71.1432<br />
<br />
Map: [&lt;2 4 5|, &lt;0 -7 -3|]<br />
EDOs: <a class="wiki_link" href="/16edo">16</a>, <a class="wiki_link" href="/18edo">18</a>, <a class="wiki_link" href="/34edo">34</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/84edo">84</a>, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/270edo">270</a>, <a class="wiki_link" href="/388edo">380</a>, <a class="wiki_link" href="/422edo">422edo</a>, 506, 894, 1400<br />
Badness: 0.0312<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Vishnu"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vishnu</h1>
Commas: 4375/4374, 29360128/29296875<br />
<br />
POTE generator: ~25/24 = 71.1075<br />
<br />
Map: [&lt;2 4 5 10|, &lt;0 -7 -3 -37|]<br />
EDOs: 118, 152, 270, <a class="wiki_link" href="/1232edo">1232</a>, <a class="wiki_link" href="/1502edo">1502</a><br />
Badness: 0.0419<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Vishnu-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
Commas: 3025/3024, 4375/4374, 5632/5625<br />
<br />
POTE generator: ~25/24 = 71.1048<br />
<br />
Map: [&lt;2 4 5 10 10|, &lt;0 -7 -3 -37 -26|]<br />
EDOs: 118, 152, 270, <a class="wiki_link" href="/422edo">422edo</a>, <a class="wiki_link" href="/962edo">962</a>, 1232, 1502<br />
Badness: 0.0142<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Vishnu-Ananta"></a><!-- ws:end:WikiTextHeadingRule:4 -->Ananta</h2>
Commas: 1001/1000, 3025/3024, 4096/4095, 4375/4374<br />
<br />
POTE generator: ~25/24 = 71.1170<br />
<br />
Map: [&lt;2 4 5 10 10 1|, &lt;0 -7 -3 -37 -26 54|]<br />
EDOs: 118, 152, 270, 928, 1198, 1468<br />
Badness: 0.0237<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Vishnu-Acyuta"></a><!-- ws:end:WikiTextHeadingRule:6 -->Acyuta</h2>
Commas: 1716/1715, 2080/2079, 3025/3024, 5632/5625<br />
<br />
POTE generator: ~25/24 = 71.1001<br />
<br />
Map: [&lt;2 4 5 10 10 17|, &lt;0 -7 -3 -37 -26 -81|]<br />
EDOs: 270, <a class="wiki_link" href="/682edo">692</a>, 962<br />
Badness: 0.0158</body></html>