Octagar temperaments: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 337591232 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 504840724 - 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>2012-05-20 14:23:58 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-04-27 14:54:23 UTC</tt>.<br>
: The original revision id was <tt>337591232</tt>.<br>
: The original revision id was <tt>504840724</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>
Line 36: Line 36:
Map: [&lt;1 2 3 3 4 4|, &lt;0 -17 -28 -8 -22 -12|]
Map: [&lt;1 2 3 3 4 4|, &lt;0 -17 -28 -8 -22 -12|]
EDOs: 41, 124ef, 165ef
EDOs: 41, 124ef, 165ef
Badness: 0.0436</pre></div>
Badness: 0.0436
 
=Slithy=
Commas: 4000/3969, 420175/419904
 
POTE generator: ~21/20 = 89.282
 
Map: [&lt;1 3 5 4|, &lt;0 -19 -36 -16|]
EDOs: 27, 94, 121, 215, 336d
Badness: 0.1075
 
==11-limit==
Commas: 540/539, 2200/2187, 4375/4356
 
POTE generator: ~21/20 = 89.291
 
Map: [&lt;1 3 5 4 8|, &lt;0 -19 -36 -16 -61|]
EDOs: 94, 121, 215, 336de, 551bde
Badness: 0.0459
 
==13-limit==
Commas: 325/324, 352/351, 540/539, 1575/1573
 
POTE generator: ~21/20 = 89.286
 
Map: [&lt;1 3 5 4 8 4|, &lt;0 -19 -36 -16 -61 -4|]
EDOs: 94, 121, 215, 336def
Badness: 0.0285
</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;Octagar temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&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:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Slendi"&gt;Slendi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&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;Octagar temperaments&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="#Slendi"&gt;Slendi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&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;a href="#Slithy"&gt;Slithy&lt;/a&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:10 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;br /&gt;
Octagar temperaments temper out the octagar comma, |5 -4 3 -2&amp;gt; = 4000/3969.&lt;br /&gt;
Octagar temperaments temper out the octagar comma, |5 -4 3 -2&amp;gt; = 4000/3969.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 68: Line 96:
Map: [&amp;lt;1 2 3 3 4 4|, &amp;lt;0 -17 -28 -8 -22 -12|]&lt;br /&gt;
Map: [&amp;lt;1 2 3 3 4 4|, &amp;lt;0 -17 -28 -8 -22 -12|]&lt;br /&gt;
EDOs: 41, 124ef, 165ef&lt;br /&gt;
EDOs: 41, 124ef, 165ef&lt;br /&gt;
Badness: 0.0436&lt;/body&gt;&lt;/html&gt;</pre></div>
Badness: 0.0436&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Slithy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Slithy&lt;/h1&gt;
Commas: 4000/3969, 420175/419904&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/20 = 89.282&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 5 4|, &amp;lt;0 -19 -36 -16|]&lt;br /&gt;
EDOs: 27, 94, 121, 215, 336d&lt;br /&gt;
Badness: 0.1075&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Slithy-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;11-limit&lt;/h2&gt;
Commas: 540/539, 2200/2187, 4375/4356&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/20 = 89.291&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 5 4 8|, &amp;lt;0 -19 -36 -16 -61|]&lt;br /&gt;
EDOs: 94, 121, 215, 336de, 551bde&lt;br /&gt;
Badness: 0.0459&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Slithy-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit&lt;/h2&gt;
Commas: 325/324, 352/351, 540/539, 1575/1573&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~21/20 = 89.286&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 5 4 8 4|, &amp;lt;0 -19 -36 -16 -61 -4|]&lt;br /&gt;
EDOs: 94, 121, 215, 336def&lt;br /&gt;
Badness: 0.0285&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 14:54, 27 April 2014

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 2014-04-27 14:54:23 UTC.
The original revision id was 504840724.
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

=Slithy=
Commas: 4000/3969, 420175/419904

POTE generator: ~21/20 = 89.282

Map: [<1 3 5 4|, <0 -19 -36 -16|]
EDOs: 27, 94, 121, 215, 336d
Badness: 0.1075

==11-limit==
Commas: 540/539, 2200/2187, 4375/4356

POTE generator: ~21/20 = 89.291

Map: [<1 3 5 4 8|, <0 -19 -36 -16 -61|]
EDOs: 94, 121, 215, 336de, 551bde
Badness: 0.0459

==13-limit==
Commas: 325/324, 352/351, 540/539, 1575/1573

POTE generator: ~21/20 = 89.286

Map: [<1 3 5 4 8 4|, <0 -19 -36 -16 -61 -4|]
EDOs: 94, 121, 215, 336def
Badness: 0.0285

Original HTML content:

<html><head><title>Octagar temperaments</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="#Slendi">Slendi</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <a href="#Slithy">Slithy</a><!-- 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 />
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<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Slithy"></a><!-- ws:end:WikiTextHeadingRule:6 -->Slithy</h1>
Commas: 4000/3969, 420175/419904<br />
<br />
POTE generator: ~21/20 = 89.282<br />
<br />
Map: [&lt;1 3 5 4|, &lt;0 -19 -36 -16|]<br />
EDOs: 27, 94, 121, 215, 336d<br />
Badness: 0.1075<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Slithy-11-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->11-limit</h2>
Commas: 540/539, 2200/2187, 4375/4356<br />
<br />
POTE generator: ~21/20 = 89.291<br />
<br />
Map: [&lt;1 3 5 4 8|, &lt;0 -19 -36 -16 -61|]<br />
EDOs: 94, 121, 215, 336de, 551bde<br />
Badness: 0.0459<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Slithy-13-limit"></a><!-- ws:end:WikiTextHeadingRule:10 -->13-limit</h2>
Commas: 325/324, 352/351, 540/539, 1575/1573<br />
<br />
POTE generator: ~21/20 = 89.286<br />
<br />
Map: [&lt;1 3 5 4 8 4|, &lt;0 -19 -36 -16 -61 -4|]<br />
EDOs: 94, 121, 215, 336def<br />
Badness: 0.0285</body></html>