Gamelismic family: Difference between revisions

Revision as of 16:46, 27 September 2010

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author xenwolf and made on 2010-09-27 16:46:28 UTC.

The original revision id was 165809285.

The revision comment was: added links

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

//Gamelismic temperament// is the rank three [[Harmonic Limit|7-limit]] [[Regular Temperaments|temperament]] tempering out 1029/1024. 

===Vital statistics===
[[Comma]] c = 1029/1024

7-limit minimax tuning: 3, 5, and 7 1/4c flat
9-limit minimax tuning: 3 1/7c flat, 5 and 7 2/7c flat
TOP-RMS: <1200.486 1901.833 2786.314 3367.676|
[[Minkowski lattice]] basis: 8/7 length 0.5192, 5/4 length = log2(5)
Angle(8/7, 5/4) = 90 degrees
Map to lattice: [<0 3 0 -1|, <0 0 1 0|] 

[[edo|EDOs]]: [[118edo|118]], [[159edo|159]]

==11-limit temperaments==

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

[[Comma|Commas]]: c = 1029/1024, e = 385/384

Minimax:  3 1/7c flat, 5 and 7 2/7c flat, 11  e-3/7c flat
[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, 
|39/14 4/7 1/2 -2/7 -1/2>,
|20/7 -2/7 0 1/7 0>, 
|39/14 4/7 -1/2 -2/7 1/2>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7

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|]

Map: [<1 1 0 3 5|, <0 3 0 -1 4| <0 0 1 0 -1|]
[[Generator|Generators]]: 2, 8/7, 5
[[edo|EDOs]]: [[72edo|72]], [[118edo|118]], [[159edo|159]], [[190edo|190]]

Original HTML content:

<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 />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3>
<a class="wiki_link" href="/Comma">Comma</a> c = 1029/1024<br />
<br />
7-limit minimax tuning: 3, 5, and 7 1/4c flat<br />
9-limit minimax tuning: 3 1/7c flat, 5 and 7 2/7c flat<br />
TOP-RMS: &lt;1200.486 1901.833 2786.314 3367.676|<br />
<a class="wiki_link" href="/Minkowski%20lattice">Minkowski lattice</a> basis: 8/7 length 0.5192, 5/4 length = log2(5)<br />
Angle(8/7, 5/4) = 90 degrees<br />
Map to lattice: [&lt;0 3 0 -1|, &lt;0 0 1 0|] <br />
<br />
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/159edo">159</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-11-limit temperaments"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit temperaments</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-11-limit temperaments-Portent"></a><!-- ws:end:WikiTextHeadingRule:4 -->Portent</h3>
Portent 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 />
<a class="wiki_link" href="/Comma">Commas</a>: c = 1029/1024, e = 385/384<br />
<br />
Minimax:  3 1/7c flat, 5 and 7 2/7c flat, 11  e-3/7c flat<br />
[|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, <br />
|39/14 4/7 1/2 -2/7 -1/2&gt;,<br />
|20/7 -2/7 0 1/7 0&gt;, <br />
|39/14 4/7 -1/2 -2/7 1/2&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/10, 9/7<br />
<br />
Minkowski lattice basis: 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 />
<br />
Map: [&lt;1 1 0 3 5|, &lt;0 3 0 -1 4| &lt;0 0 1 0 -1|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 2, 8/7, 5<br />
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/159edo">159</a>, <a class="wiki_link" href="/190edo">190</a></body></html>

@@ 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>2010-09-26 23:31:00 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-27 16:46:28 UTC</tt>.<br>
-: The original revision id was <tt>165589685</tt>.<br>
+: The original revision id was <tt>165809285</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>added links</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>
@@ Line 9: / Line 9: @@
 ===Vital statistics===
-Comma c = 1029/1024
+[[Comma]] c = 1029/1024
 -limit minimax tuning: 3, 5, and 7 1/4c flat
 -limit minimax tuning: 3 1/7c flat, 5 and 7 2/7c flat
 TOP-RMS: &lt;1200.486 1901.833 2786.314 3367.676|
-Minkowski lattice basis: 8/7 length 0.5192, 5/4 length = log2(5)
+[[Minkowski lattice]] basis: 8/7 length 0.5192, 5/4 length = log2(5)
 Angle(8/7, 5/4) = 90 degrees
 Map to lattice: [&lt;0 3 0 -1|, &lt;0 0 1 0|]
-EDOs: 118, 159
+[[edo|EDOs]]: [[118edo|118]], [[159edo|159]]
 ==11-limit temperaments==
@@ Line 24: / Line 25: @@
 Portent has a [[Normal lists|normal comma list]] [1029/1024, 385/384] and also tempers out 441/440.
-Commas c = 1029/1024, e = 385/384
+[[Comma|Commas]]: c = 1029/1024, e = 385/384
 Minimax:  3 1/7c flat, 5 and 7 2/7c flat, 11  e-3/7c flat
@@ Line 31: / Line 32: @@
 |20/7 -2/7 0 1/7 0&gt;,
 |39/14 4/7 -1/2 -2/7 1/2&gt;]
-Eigenmonzos: 2, 11/10, 9/7
+[[Eigenmonzo|Eigenmonzos]]: 2, 11/10, 9/7
 Minkowski lattice basis: 8/7 length 0.46467, 12/11 length 1.931
@@ Line 38: / Line 39: @@
 Map: [&lt;1 1 0 3 5|, &lt;0 3 0 -1 4| &lt;0 0 1 0 -1|]
-Generators: 2, 8/7, 5
+[[Generator|Generators]]: 2, 8/7, 5
-EDOs 72, 118, 159, 190</pre></div>
+[[edo|EDOs]]: [[72edo|72]], [[118edo|118]], [[159edo|159]], [[190edo|190]]</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;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h3&gt;
-Comma c = 1029/1024&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt; c = 1029/1024&lt;br /&gt;
+&lt;br /&gt;
 -limit minimax tuning: 3, 5, and 7 1/4c flat&lt;br /&gt;
 -limit minimax tuning: 3 1/7c flat, 5 and 7 2/7c flat&lt;br /&gt;
 TOP-RMS: &amp;lt;1200.486 1901.833 2786.314 3367.676|&lt;br /&gt;
-Minkowski lattice basis: 8/7 length 0.5192, 5/4 length = log2(5)&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minkowski%20lattice"&gt;Minkowski lattice&lt;/a&gt; basis: 8/7 length 0.5192, 5/4 length = log2(5)&lt;br /&gt;
 Angle(8/7, 5/4) = 90 degrees&lt;br /&gt;
 Map to lattice: [&amp;lt;0 3 0 -1|, &amp;lt;0 0 1 0|] &lt;br /&gt;
 &lt;br /&gt;
-EDOs: 118, 159&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159&lt;/a&gt;&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="x-11-limit temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;11-limit temperaments&lt;/h2&gt;
@@ Line 59: / Line 61: @@
 Portent 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;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: c = 1029/1024, e = 385/384&lt;br /&gt;
 &lt;br /&gt;
 Minimax:  3 1/7c flat, 5 and 7 2/7c flat, 11  e-3/7c flat&lt;br /&gt;
@@ Line 66: / Line 68: @@
 |20/7 -2/7 0 1/7 0&amp;gt;, &lt;br /&gt;
 |39/14 4/7 -1/2 -2/7 1/2&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 11/10, 9/7&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/10, 9/7&lt;br /&gt;
 &lt;br /&gt;
 Minkowski lattice basis: 8/7 length 0.46467, 12/11 length 1.931&lt;br /&gt;
@@ Line 73: / Line 75: @@
 &lt;br /&gt;
 Map: [&amp;lt;1 1 0 3 5|, &amp;lt;0 3 0 -1 4| &amp;lt;0 0 1 0 -1|]&lt;br /&gt;
-Generators: 2, 8/7, 5&lt;br /&gt;
+&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 8/7, 5&lt;br /&gt;
-EDOs 72, 118, 159, 190&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159&lt;/a&gt;, &lt;a class="wiki_link" href="/190edo"&gt;190&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Gamelismic family: Difference between revisions

Revision as of 16:46, 27 September 2010

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Original HTML content:

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