Octagar temperaments

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Revision as of 14:23, 20 May 2012 by Wikispaces>genewardsmith (**Imported revision 337591232 - Original comment: **)
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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 2012-05-20 14:23:58 UTC.
The original revision id was 337591232.
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]]

Octagar temperaments temper out the octagar comma, |5 -4 3 -2> = 4000/3969.

=Slendi=
Commas: 4000/3969, 84035/82944

POTE generator: ~49/48 = 29.181

Map: [<1 2 3 3|, <0 -17 -28 -8|]
Wedgie: <<17 28 8 5 -35 -60||
EDOs: 41, 206, 247bc, 288bcd, 329bcd
Badness: 0.1429

==11-limit==
Commas: 100/99, 245/242, 46656/46585

POTE generator: ~49/48 = 29.180

Map: [<1 2 3 3 4|, <0 -17 -28 -8 -22|]
EDOs: 41, 206e
Badness: 0.0632

==13-limit==
Commas: 100/99, 144/143, 245/242, 343/338

POTE generator: ~49/48 = 29.125

Map: [<1 2 3 3 4 4|, <0 -17 -28 -8 -22 -12|]
EDOs: 41, 124ef, 165ef
Badness: 0.0436

Original HTML content:

<html><head><title>Octagar temperaments</title></head><body><!-- ws:start:WikiTextTocRule:6:&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:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Slendi">Slendi</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: -->
<!-- ws:end:WikiTextTocRule:10 --><br />
Octagar temperaments temper out the octagar comma, |5 -4 3 -2&gt; = 4000/3969.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Slendi"></a><!-- ws:end:WikiTextHeadingRule:0 -->Slendi</h1>
Commas: 4000/3969, 84035/82944<br />
<br />
POTE generator: ~49/48 = 29.181<br />
<br />
Map: [&lt;1 2 3 3|, &lt;0 -17 -28 -8|]<br />
Wedgie: &lt;&lt;17 28 8 5 -35 -60||<br />
EDOs: 41, 206, 247bc, 288bcd, 329bcd<br />
Badness: 0.1429<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Slendi-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
Commas: 100/99, 245/242, 46656/46585<br />
<br />
POTE generator: ~49/48 = 29.180<br />
<br />
Map: [&lt;1 2 3 3 4|, &lt;0 -17 -28 -8 -22|]<br />
EDOs: 41, 206e<br />
Badness: 0.0632<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Slendi-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
Commas: 100/99, 144/143, 245/242, 343/338<br />
<br />
POTE generator: ~49/48 = 29.125<br />
<br />
Map: [&lt;1 2 3 3 4 4|, &lt;0 -17 -28 -8 -22 -12|]<br />
EDOs: 41, 124ef, 165ef<br />
Badness: 0.0436</body></html>