Octagar temperaments: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

__FORCETOC__

~~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>2014-04-27 14:54:49 UTC</tt>.<br>~~

~~: The original revision id was <tt>504840782</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>~~

~~<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">[[toc]]

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

Line 16:

Line 8:

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

Line 26:

Line 21:

Map: [<1 2 3 3 4|, <0 -17 -28 -8 -22|]

EDOs: 41, 206e

Badness: 0.0632

Line 35:

Line 32:

Map: [<1 2 3 3 4 4|, <0 -17 -28 -8 -22 -12|]

EDOs: 41, 124ef, 165ef

Badness: 0.0436

Line 44:

Line 43:

Map: [<1 3 5 4|, <0 -19 -36 -16|]

EDOs: 27, 94, 121, 215, 336d

Badness: 0.1075

Line 53:

Line 54:

Map: [<1 3 5 4 8|, <0 -19 -36 -16 -61|]

EDOs: 94, 121, 215, 336de, 551bde

Badness: 0.0459

Line 62:

Line 65:

Map: [<1 3 5 4 8 4|, <0 -19 -36 -16 -61 -4|]

EDOs: 94, 121, 215, 336def

Badness: 0.0285

~~</pre></div>~~

~~<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"><html><head><title>Octagar temperaments</title></head><body><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 1em;"><a href="#Slendi">Slendi</a></div>

~~<div style="margin-left: 2em;"><a href="#Slendi-11-limit">11-limit</a></div>~~

~~<div style="margin-left: 2em;"><a href="#Slendi-13-limit">13-limit</a></div>~~

~~<div style="margin-left: 1em;"><a href="#Slithy">Slithy</a></div>~~

~~<div style="margin-left: 2em;"><a href="#Slithy-11-limit">11-limit</a></div>~~

~~<div style="margin-left: 2em;"><a href="#Slithy-13-limit">13-limit</a></div>~~

~~</div>~~

~~<br />~~

~~Octagar temperaments temper out the octagar comma, |5 -4 3 -2&gt; = 4000/3969.<br />~~

~~<br />~~

~~<h1 id="toc0"><a name="Slendi"></a>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 />~~

~~<h2 id="toc1"><a name="Slendi-11-limit"></a>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 />~~

~~<h2 id="toc2"><a name="Slendi-13-limit"></a>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 />~~

~~<h1 id="toc3"><a name="Slithy"></a>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 />~~

~~<h2 id="toc4"><a name="Slithy-11-limit"></a>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 />~~

~~<h2 id="toc5"><a name="Slithy-13-limit"></a>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></pre></div>~~

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+__FORCETOC__
-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>2014-04-27 14:54:49 UTC</tt>.<br>
-: The original revision id was <tt>504840782</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>
-<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">[[toc]]
 Octagar temperaments temper out the octagar comma, |5 -4 3 -2&gt; = 4000/3969.
@@ Line 16: / Line 8: @@
 Map: [&lt;1 2 3 3|, &lt;0 -17 -28 -8|]
 Wedgie: &lt;&lt;17 28 8 5 -35 -60||
 EDOs: 41, 206, 247bc, 288bcd, 329bcd
 Badness: 0.1429
@@ Line 26: / Line 21: @@
 Map: [&lt;1 2 3 3 4|, &lt;0 -17 -28 -8 -22|]
 EDOs: 41, 206e
 Badness: 0.0632
@@ Line 35: / Line 32: @@
 Map: [&lt;1 2 3 3 4 4|, &lt;0 -17 -28 -8 -22 -12|]
 EDOs: 41, 124ef, 165ef
 Badness: 0.0436
@@ Line 44: / Line 43: @@
 Map: [&lt;1 3 5 4|, &lt;0 -19 -36 -16|]
 EDOs: 27, 94, 121, 215, 336d
 Badness: 0.1075
@@ Line 53: / Line 54: @@
 Map: [&lt;1 3 5 4 8|, &lt;0 -19 -36 -16 -61|]
 EDOs: 94, 121, 215, 336de, 551bde
 Badness: 0.0459
@@ Line 62: / Line 65: @@
 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>
-<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@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Slendi"&gt;Slendi&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;!-- ws:start:WikiTextTocRule:14: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Slendi-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Slendi-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Slithy"&gt;Slithy&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Slithy-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Slithy-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt;&lt;/div&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;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Slendi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Slendi&lt;/h1&gt;
-Commas: 4000/3969, 84035/82944&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~49/48 = 29.181&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 2 3 3|, &amp;lt;0 -17 -28 -8|]&lt;br /&gt;
-Wedgie: &amp;lt;&amp;lt;17 28 8 5 -35 -60||&lt;br /&gt;
-EDOs: 41, 206, 247bc, 288bcd, 329bcd&lt;br /&gt;
-Badness: 0.1429&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="Slendi-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit&lt;/h2&gt;
-Commas: 100/99, 245/242, 46656/46585&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~49/48 = 29.180&lt;br /&gt;
-&lt;br /&gt;
-Map: [&amp;lt;1 2 3 3 4|, &amp;lt;0 -17 -28 -8 -22|]&lt;br /&gt;
-EDOs: 41, 206e&lt;br /&gt;
-Badness: 0.0632&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Slendi-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;13-limit&lt;/h2&gt;
-Commas: 100/99, 144/143, 245/242, 343/338&lt;br /&gt;
-&lt;br /&gt;
-POTE generator: ~49/48 = 29.125&lt;br /&gt;
-&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;
-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>