Marvel family: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2010-09-~~03 19~~:41:54 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-04 02:42:27 UTC</tt>.<br>

: The original revision id was <tt>~~160328937~~</tt>.<br>

: The original revision id was <tt>160358531</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>

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==Eleven limit children==

The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.</pre></div>

The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.

===Unidecimal marvel===

Commas c = 225/224, e = 4125/4096

Minimax: 3 1/9e flat, 5 and 11 2/9e flat, 7 2/3e - c flat

Lattice basis: secor length 1.0364 5/4 length 1.0759

Angle(secor, 5/4) = 104.028 degrees

Map to lattice: [<0 -1 0 -2 1|, <0 -1 1 0 -2|]

</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>Marvel family</title></head><body>The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a <a class="wiki_link" href="/Normal%20lists">normal list basis</a> of [2, 3, 5]; hence a <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/197edo">197edo</a>. <br />

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<br />

<h2 id="toc1"><a name="x-Eleven limit children"></a>Eleven limit children</h2>

The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.</body></html></pre></div>

The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.<br />

<br />

<h3 id="toc2"><a name="x-Eleven limit children-Unidecimal marvel"></a>Unidecimal marvel</h3>

Commas c = 225/224, e = 4125/4096<br />

Minimax: 3 1/9e flat, 5 and 11 2/9e flat, 7 2/3e - c flat<br />

Lattice basis: secor length 1.0364 5/4 length 1.0759<br />

Angle(secor, 5/4) = 104.028 degrees<br />

Map to lattice: [&lt;0 -1 0 -2 1|, &lt;0 -1 1 0 -2|]</body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2010-09-03 19:41:54 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-04 02:42:27 UTC</tt>.<br>
-: The original revision id was <tt>160328937</tt>.<br>
+: The original revision id was <tt>160358531</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>
@@ Line 21: / Line 21: @@
 ==Eleven limit children==
-The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.</pre></div>
+The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.
+===Unidecimal marvel===
+Commas c = 225/224, e = 4125/4096
+Minimax: 3 1/9e flat, 5 and 11 2/9e flat, 7 2/3e - c flat
+Lattice basis: secor length 1.0364 5/4 length 1.0759
+Angle(secor, 5/4) = 104.028 degrees
+Map to lattice: [&lt;0 -1 0 -2 1|, &lt;0 -1 1 0 -2|]
+</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;Marvel family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The head of the marvel family is marvel, which tempers out 225/224, the septimal kleisma or marvel comma. Marvel has a &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal list basis&lt;/a&gt; of [2, 3, 5]; hence a &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;5-limit&lt;/a&gt; scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by &lt;a class="wiki_link" href="/197edo"&gt;197edo&lt;/a&gt;. &lt;br /&gt;
@@ Line 38: / Line 46: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Eleven limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Eleven limit children&lt;/h2&gt;
-The second comma of the &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.&lt;/body&gt;&lt;/html&gt;</pre></div>
+The second comma of the &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.&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-Eleven limit children-Unidecimal marvel"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Unidecimal marvel&lt;/h3&gt;
+Commas c = 225/224, e = 4125/4096&lt;br /&gt;
+Minimax: 3 1/9e flat, 5 and 11 2/9e flat, 7 2/3e - c flat&lt;br /&gt;
+Lattice basis: secor length 1.0364 5/4 length 1.0759&lt;br /&gt;
+Angle(secor, 5/4) = 104.028 degrees&lt;br /&gt;
+Map to lattice: [&amp;lt;0 -1 0 -2 1|, &amp;lt;0 -1 1 0 -2|]&lt;/body&gt;&lt;/html&gt;</pre></div>