Xenharmonic Wiki

Marvel family: Difference between revisions

← Older editNewer edit →
VisualWikitext
Wikispaces>genewardsmith
**Imported revision 229730078 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 229740868 - 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>2011-05-18 15:39:59 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-18 16:14:24 UTC</tt>.<br>
: The original revision id was <tt>229730078</tt>.<br>
: The original revision id was <tt>229740868</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 139: Line 139:
|13/6 -1 1/2 0 1/6&gt;,
|13/6 -1 1/2 0 1/6&gt;,
|3/2 -1 1/2 0 1/2&gt;, |0 0 0 0 1&gt;]
|3/2 -1 1/2 0 1/2&gt;, |0 0 0 0 1&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/8
[[Eigenmonzo subgroup]]: 2.9/5.11


Lattice basis: secor length 0.9111, 3/2 length 0.9477
Lattice basis: secor length 0.9111, 3/2 length 0.9477
Line 162: Line 162:
Related linear temperament: [[Semicomma family|orwell]]
Related linear temperament: [[Semicomma family|orwell]]


[[Minimax tuning]]:
[[Eigenmonzo subgroup]]: 2.7/5.11/9
[|1 0 0 0 0&gt;, |0 1 0 0 0&gt;, |9/4 -1/2 0 0 1/4&gt;, |-1/2 1 0 0 1/2&gt;, |0 0 0 0 1&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 3/2, 11/8


Lattice basis: 16/15 length 0.8997 5/4 length 1.0457  
Lattice basis: 16/15 length 0.8997 5/4 length 1.0457  
Line 178: Line 176:


==Athene==
==Athene==
Commas: 99/98, 176/175, 245/243
Commas: 99/98, 176/175, 275/273
 
13-limit eigenmonzo subgroup: 2.11/9.13/7
15-limit eigenmonzo subgroup: 2.11/9.13/7


Map: [&lt;1 0 0 -5 -9 -4|, &lt;0 1 0 2 2 -1|, &lt;0 0 1 2 4 4|]
Map: [&lt;1 0 0 -5 -9 -4|, &lt;0 1 0 2 2 -1|, &lt;0 0 1 2 4 4|]
Line 190: Line 191:
[[Minimax tuning]]:
[[Minimax tuning]]:
[|1 0 0 0 0&gt;, |1/5 0 0 0 2/5&gt;, |2/5 -2 1 0 4/5&gt;, |-19/5 -4 2 0 12/5&gt;, |0 0 0 0 1&gt;]
[|1 0 0 0 0&gt;, |1/5 0 0 0 2/5&gt;, |2/5 -2 1 0 4/5&gt;, |-19/5 -4 2 0 12/5&gt;, |0 0 0 0 1&gt;]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/8
[[Eigenmonzo subgroup]]: 2.9/5.11


Map: [&lt;1 1 0 -3 2|, &lt;0 2 0 4 5|, &lt;0 0 1 2 0|]
Map: [&lt;1 1 0 -3 2|, &lt;0 2 0 4 5|, &lt;0 0 1 2 0|]
Line 202: Line 203:
[[Comma|Commas]]: 100/99, 225/224
[[Comma|Commas]]: 100/99, 225/224
Related linear temperament: [[Magic family|Magic]]
Related linear temperament: [[Magic family|Magic]]
Eigenmonzo subgroup: 2.7/5.11/9


Map: [[&lt;1 0 0 -5 2|, &lt;0 1 0 2 -2|, &lt;0 0 1 2 2|]
Map: [[&lt;1 0 0 -5 2|, &lt;0 1 0 2 -2|, &lt;0 0 1 2 2|]
Line 209: Line 212:
=Potassium=
=Potassium=
Commas: 45/44, 56/55
Commas: 45/44, 56/55
Eigenmonzo subgroup: 2.9/7.11


Map: [&lt;1 0 0 -5 -2|, &lt;0 1 0 2 2|, &lt;0 0 1 2 1|]
Map: [&lt;1 0 0 -5 -2|, &lt;0 1 0 2 2|, &lt;0 0 1 2 1|]
Line 216: Line 221:
==13-limit==
==13-limit==
Commas: 45/44, 56/55, 78/77
Commas: 45/44, 56/55, 78/77
13-limit eigenmonzo subgroup: 2.9/7.13/9
15-limit eigenmonzo subgroup: 2.9/7.13/9


Map: [&lt;1 0 0 -5 -2 -8|, &lt;0 1 0 2 2 3|, &lt;0 0 1 2 1 3|]
Map: [&lt;1 0 0 -5 -2 -8|, &lt;0 1 0 2 2 3|, &lt;0 0 1 2 1 3|]
Line 354: Line 362:
|13/6 -1 1/2 0 1/6&amp;gt;,&lt;br /&gt;
|13/6 -1 1/2 0 1/6&amp;gt;,&lt;br /&gt;
|3/2 -1 1/2 0 1/2&amp;gt;, |0 0 0 0 1&amp;gt;]&lt;br /&gt;
|3/2 -1 1/2 0 1/2&amp;gt;, |0 0 0 0 1&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 11/8&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo%20subgroup"&gt;Eigenmonzo subgroup&lt;/a&gt;: 2.9/5.11&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Lattice basis: secor length 0.9111, 3/2 length 0.9477&lt;br /&gt;
Lattice basis: secor length 0.9111, 3/2 length 0.9477&lt;br /&gt;
Line 377: Line 385:
Related linear temperament: &lt;a class="wiki_link" href="/Semicomma%20family"&gt;orwell&lt;/a&gt;&lt;br /&gt;
Related linear temperament: &lt;a class="wiki_link" href="/Semicomma%20family"&gt;orwell&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo%20subgroup"&gt;Eigenmonzo subgroup&lt;/a&gt;: 2.7/5.11/9&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |0 1 0 0 0&amp;gt;, |9/4 -1/2 0 0 1/4&amp;gt;, |-1/2 1 0 0 1/2&amp;gt;, |0 0 0 0 1&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 3/2, 11/8&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Lattice basis: 16/15 length 0.8997 5/4 length 1.0457 &lt;br /&gt;
Lattice basis: 16/15 length 0.8997 5/4 length 1.0457 &lt;br /&gt;
Line 393: Line 399:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="Minerva-Athene"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Athene&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="Minerva-Athene"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Athene&lt;/h2&gt;
Commas: 99/98, 176/175, 245/243&lt;br /&gt;
Commas: 99/98, 176/175, 275/273&lt;br /&gt;
&lt;br /&gt;
13-limit eigenmonzo subgroup: 2.11/9.13/7&lt;br /&gt;
15-limit eigenmonzo subgroup: 2.11/9.13/7&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -9 -4|, &amp;lt;0 1 0 2 2 -1|, &amp;lt;0 0 1 2 4 4|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -9 -4|, &amp;lt;0 1 0 2 2 -1|, &amp;lt;0 0 1 2 4 4|]&lt;br /&gt;
Line 405: Line 414:
&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |1/5 0 0 0 2/5&amp;gt;, |2/5 -2 1 0 4/5&amp;gt;, |-19/5 -4 2 0 12/5&amp;gt;, |0 0 0 0 1&amp;gt;]&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |1/5 0 0 0 2/5&amp;gt;, |2/5 -2 1 0 4/5&amp;gt;, |-19/5 -4 2 0 12/5&amp;gt;, |0 0 0 0 1&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 11/8&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo%20subgroup"&gt;Eigenmonzo subgroup&lt;/a&gt;: 2.9/5.11&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 -3 2|, &amp;lt;0 2 0 4 5|, &amp;lt;0 0 1 2 0|]&lt;br /&gt;
Map: [&amp;lt;1 1 0 -3 2|, &amp;lt;0 2 0 4 5|, &amp;lt;0 0 1 2 0|]&lt;br /&gt;
Line 417: Line 426:
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 100/99, 225/224&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 100/99, 225/224&lt;br /&gt;
Related linear temperament: &lt;a class="wiki_link" href="/Magic%20family"&gt;Magic&lt;/a&gt;&lt;br /&gt;
Related linear temperament: &lt;a class="wiki_link" href="/Magic%20family"&gt;Magic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
Eigenmonzo subgroup: 2.7/5.11/9&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [[&amp;lt;1 0 0 -5 2|, &amp;lt;0 1 0 2 -2|, &amp;lt;0 0 1 2 2|]&lt;br /&gt;
Map: [[&amp;lt;1 0 0 -5 2|, &amp;lt;0 1 0 2 -2|, &amp;lt;0 0 1 2 2|]&lt;br /&gt;
Line 424: Line 435:
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Potassium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Potassium&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Potassium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Potassium&lt;/h1&gt;
Commas: 45/44, 56/55&lt;br /&gt;
Commas: 45/44, 56/55&lt;br /&gt;
&lt;br /&gt;
Eigenmonzo subgroup: 2.9/7.11&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -2|, &amp;lt;0 1 0 2 2|, &amp;lt;0 0 1 2 1|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -2|, &amp;lt;0 1 0 2 2|, &amp;lt;0 0 1 2 1|]&lt;br /&gt;
Line 431: Line 444:
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Potassium-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Potassium-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;13-limit&lt;/h2&gt;
Commas: 45/44, 56/55, 78/77&lt;br /&gt;
Commas: 45/44, 56/55, 78/77&lt;br /&gt;
&lt;br /&gt;
13-limit eigenmonzo subgroup: 2.9/7.13/9&lt;br /&gt;
15-limit eigenmonzo subgroup: 2.9/7.13/9&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -2 -8|, &amp;lt;0 1 0 2 2 3|, &amp;lt;0 0 1 2 1 3|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -2 -8|, &amp;lt;0 1 0 2 2 3|, &amp;lt;0 0 1 2 1 3|]&lt;br /&gt;
EDOs: 9, 10, 19&lt;br /&gt;
EDOs: 9, 10, 19&lt;br /&gt;
Badness: 0.000733&lt;/body&gt;&lt;/html&gt;</pre></div>
Badness: 0.000733&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/Marvel_family"