Gamelismic 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 15:19:10 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-03 16:40:07 UTC</tt>.<br>

: The original revision id was <tt>~~160294287~~</tt>.<br>

: The original revision id was <tt>160308089</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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===Prodigy===

Prodigy has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. ~~It has a~~ Minkowski ~~generator~~ basis ~~[2,~~ 8/7, 12/11], ~~which may be mapped from the [[~~11~~-limit]] by~~ [~~<1 1 2 3 3|,~~ <0 3 1 -1 3|, <0 0 1 0 -1|]~~. Once again [[118edo]] is a good tuning choice~~, ~~and [[159edo]] is another one.~~ </pre></div>

Prodigy has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440.

Commas c = 1029/1024, e = 385/384

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

Minkowski lattice basis:

8/7 length 0.46467, 12/11 length 1.931

angle(8/7, 12/11) = 86.657 degrees

Map to lattice: [<0 3 1 -1 3|, <0 0 1 0 -1|]

EDOs 118, 159</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>Gamelismic family</title></head><body><em>Gamelismic temperament</em> is the rank three <a class="wiki_link" href="/Harmonic%20Limit">7-limit</a> <a class="wiki_link" href="/Regular%20Temperaments">temperament</a> tempering out 1029/1024. <br />

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<br />

<h3 id="toc2"><a name="x-11-limit temperaments-Prodigy"></a>Prodigy</h3>

Prodigy has a <a class="wiki_link" href="/Normal%20lists">normal comma list</a> [1029/1024, 385/384] and also tempers out 441/440. ~~It has a~~ Minkowski ~~generator~~ basis ~~[2,~~ 8/7, 12/11~~], which may be mapped from the~~ <~~a class="wiki_link" href="~~/~~11-limit"~~>11~~-limit~~</a> by [~~&lt;1 1 2 3 3|,~~ &lt;0 3 1 -1 3|, &lt;0 0 1 0 -1|]~~. Once again~~ <~~a class="wiki_link" href="~~/~~118edo"~~>~~118edo</a> is a good tuning choice~~, ~~and <a class="wiki_link" href="/159edo">159edo</a> is another one.~~</body></html></pre></div>

Prodigy has a <a class="wiki_link" href="/Normal%20lists">normal comma list</a> [1029/1024, 385/384] and also tempers out 441/440. <br />

<br />

Commas c = 1029/1024, e = 385/384<br />

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

Minkowski lattice basis: <br />

8/7 length 0.46467, 12/11 length 1.931<br />

angle(8/7, 12/11) = 86.657 degrees<br />

Map to lattice: [&lt;0 3 1 -1 3|, &lt;0 0 1 0 -1|]<br />

EDOs 118, 159</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 15:19:10 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-03 16:40:07 UTC</tt>.<br>
-: The original revision id was <tt>160294287</tt>.<br>
+: The original revision id was <tt>160308089</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: @@
 ===Prodigy===
-Prodigy has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440. It has a Minkowski generator basis [2, 8/7, 12/11], which may be mapped from the [[11-limit]] by [&lt;1 1 2 3 3|, &lt;0 3 1 -1 3|,  &lt;0 0 1 0 -1|]. Once again [[118edo]] is a good tuning choice, and [[159edo]] is another one. </pre></div>
+Prodigy has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440.
+Commas c = 1029/1024, e = 385/384
+Minimax:  3 1/7c flat, 5 and 7 2/7c flat, 11  e-3/7c flat
+Minkowski lattice basis:
+/7 length 0.46467, 12/11 length 1.931
+angle(8/7, 12/11) = 86.657 degrees
+Map to lattice: [&lt;0 3 1 -1 3|, &lt;0 0 1 0 -1|]
+EDOs 118, 159</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;Gamelismic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;em&gt;Gamelismic temperament&lt;/em&gt; is the rank three &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;7-limit&lt;/a&gt; &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;temperament&lt;/a&gt; tempering out 1029/1024. &lt;br /&gt;
@@ Line 38: / Line 46: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-11-limit temperaments-Prodigy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Prodigy&lt;/h3&gt;
-Prodigy has a &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; [1029/1024, 385/384] and also tempers out 441/440. It has a Minkowski generator basis [2, 8/7, 12/11], which may be mapped from the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; by [&amp;lt;1 1 2 3 3|, &amp;lt;0 3 1 -1 3|,  &amp;lt;0 0 1 0 -1|]. Once again &lt;a class="wiki_link" href="/118edo"&gt;118edo&lt;/a&gt; is a good tuning choice, and &lt;a class="wiki_link" href="/159edo"&gt;159edo&lt;/a&gt; is another one.&lt;/body&gt;&lt;/html&gt;</pre></div>
+Prodigy has a &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt; [1029/1024, 385/384] and also tempers out 441/440. &lt;br /&gt;
+&lt;br /&gt;
+Commas c = 1029/1024, e = 385/384&lt;br /&gt;
+Minimax:  3 1/7c flat, 5 and 7 2/7c flat, 11  e-3/7c flat&lt;br /&gt;
+Minkowski lattice basis: &lt;br /&gt;
+/7 length 0.46467, 12/11 length 1.931&lt;br /&gt;
+angle(8/7, 12/11) = 86.657 degrees&lt;br /&gt;
+Map to lattice: [&amp;lt;0 3 1 -1 3|, &amp;lt;0 0 1 0 -1|]&lt;br /&gt;
+EDOs 118, 159&lt;/body&gt;&lt;/html&gt;</pre></div>