Marvel family: Difference between revisions

Wikispaces>xenwolf
**Imported revision 165932335 - Original comment: **
Wikispaces>xenwolf
**Imported revision 166522153 - Original comment: links added**
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:xenwolf|xenwolf]] and made on <tt>2010-09-28 02:53:23 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-29 17:12:45 UTC</tt>.<br>
: The original revision id was <tt>165932335</tt>.<br>
: The original revision id was <tt>166522153</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>links added</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
Line 32: Line 32:
[[Comma|Commas]]: 225/224, 385/384
[[Comma|Commas]]: 225/224, 385/384


Minimax tuning:  
[[Minimax tuning]]:  
[|1 0 0 0 0&gt;, |4/3 8/9 -1/3 0 -1/9&gt;, |8/3 -2/9 1/3 0 -2/9&gt;,
[|1 0 0 0 0&gt;, |4/3 8/9 -1/3 0 -1/9&gt;, |8/3 -2/9 1/3 0 -2/9&gt;,
|3 4/3 0 0 -2/3&gt;, |8/3 -2/9 -2/3 0 7/9&gt;]
|3 4/3 0 0 -2/3&gt;, |8/3 -2/9 -2/3 0 7/9&gt;]
Line 48: Line 48:
[[Comma|Commas]]: 225/224, 441/440
[[Comma|Commas]]: 225/224, 441/440


Minimax tuning:
[[Minimax tuning]]:
[|1 0 0 0 0&gt;, |13/12 1/2 -1/4 0 1/12&gt;,  
[|1 0 0 0 0&gt;, |13/12 1/2 -1/4 0 1/12&gt;,  
|13/6 -1 1/2 0 1/6&gt;,
|13/6 -1 1/2 0 1/6&gt;,
Line 59: Line 59:


Map: [&lt;1 0 0 -5 -13|, &lt;0 1 0 2 6|, &lt;0 0 1 2 3|]
Map: [&lt;1 0 0 -5 -13|, &lt;0 1 0 2 6|, &lt;0 0 1 2 3|]
Generators: 2, 3, 5
[[Generator|Generators]]: 2, 3, 5
Edos: 10, 12, 29, 31, 41, 72
[[edo|EDOs]]: [[10edo|10]], [[12edo|12]], [[29edo|29]], [[31edo|31]], [[41edo|41]], [[72edo|72]]


===Minerva===
===Minerva===
Comma: 99/98, 225/224
[[Comma|Commas]]: 99/98, 225/224


Minimax tuning:
[[Minimax tuning]]:
[|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;]
[|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;]
Eigenmonzos: 2, 3/2, 11/8
[[Eigenmonzo|Eigenmonzos]]: 2, 3/2, 11/8


Map: [&lt;1 0 0 -5 -9|, &lt;0 1 0 2 2|, &lt;0 0 1 2 4|]
Map: [&lt;1 0 0 -5 -9|, &lt;0 1 0 2 2|, &lt;0 0 1 2 4|]
Generators: 2, 3, 5
[[Generator|Generators]]: 2, 3, 5
Edos: 9, 12, 21, 22, 31, 43, 53, 74, 75, 96, 127
[[edo|EDOs]]: [[9edo|9]], [[12edo|12]], [[21edo|21]], [[22edo|22]], [[31edo|31]], [[43edo|43]], [[53edo|53]], [[74edo|74]], [[75edo|75]], [[96edo|96]], [[127edo|127]]


===Spectacle===
===Spectacle===
Commas: 225/224, 243/242
[[Comma|Commas]]: 225/224, 243/242


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;]
Eigenmonzos: 2, 10/9, 11/8
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/8


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|]
Generators: 2, 11/9, 5
[[Generator|Generators]]: 2, 11/9, 5
Edos: 10, 31, 41, 72, 240, 250</pre></div>
[[edo|EDOs]]: [[10edo|10]], [[31edo|31]], [[41edo|41]], [[72edo|72]], [[240edo|240]], [[250edo|250]]</pre></div>
<h4>Original HTML content:</h4>
<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;
<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 110: Line 110:
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 385/384&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 385/384&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning: &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;, |4/3 8/9 -1/3 0 -1/9&amp;gt;, |8/3 -2/9 1/3 0 -2/9&amp;gt;,&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |4/3 8/9 -1/3 0 -1/9&amp;gt;, |8/3 -2/9 1/3 0 -2/9&amp;gt;,&lt;br /&gt;
|3 4/3 0 0 -2/3&amp;gt;, |8/3 -2/9 -2/3 0 7/9&amp;gt;]&lt;br /&gt;
|3 4/3 0 0 -2/3&amp;gt;, |8/3 -2/9 -2/3 0 7/9&amp;gt;]&lt;br /&gt;
Line 126: Line 126:
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 441/440&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 441/440&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning:&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;, |13/12 1/2 -1/4 0 1/12&amp;gt;, &lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |13/12 1/2 -1/4 0 1/12&amp;gt;, &lt;br /&gt;
|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;
Line 137: Line 137:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -13|, &amp;lt;0 1 0 2 6|, &amp;lt;0 0 1 2 3|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -13|, &amp;lt;0 1 0 2 6|, &amp;lt;0 0 1 2 3|]&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 5&lt;br /&gt;
Edos: 10, 12, 29, 31, 41, 72&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/10edo"&gt;10&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/29edo"&gt;29&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Eleven limit children-Minerva"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Minerva&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Eleven limit children-Minerva"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Minerva&lt;/h3&gt;
Comma: 99/98, 225/224&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 99/98, 225/224&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning:&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;, |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;
[|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;
Eigenmonzos: 2, 3/2, 11/8&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;
Map: [&amp;lt;1 0 0 -5 -9|, &amp;lt;0 1 0 2 2|, &amp;lt;0 0 1 2 4|]&lt;br /&gt;
Map: [&amp;lt;1 0 0 -5 -9|, &amp;lt;0 1 0 2 2|, &amp;lt;0 0 1 2 4|]&lt;br /&gt;
Generators: 2, 3, 5&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 3, 5&lt;br /&gt;
Edos: 9, 12, 21, 22, 31, 43, 53, 74, 75, 96, 127&lt;br /&gt;
&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/9edo"&gt;9&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12&lt;/a&gt;, &lt;a class="wiki_link" href="/21edo"&gt;21&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/43edo"&gt;43&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/74edo"&gt;74&lt;/a&gt;, &lt;a class="wiki_link" href="/75edo"&gt;75&lt;/a&gt;, &lt;a class="wiki_link" href="/96edo"&gt;96&lt;/a&gt;, &lt;a class="wiki_link" href="/127edo"&gt;127&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Eleven limit children-Spectacle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Spectacle&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Eleven limit children-Spectacle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Spectacle&lt;/h3&gt;
Commas: 225/224, 243/242&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 243/242&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning:&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;
Eigenmonzos: 2, 10/9, 11/8&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 11/8&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;
Generators: 2, 11/9, 5&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 2, 11/9, 5&lt;br /&gt;
Edos: 10, 31, 41, 72, 240, 250&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="/10edo"&gt;10&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/240edo"&gt;240&lt;/a&gt;, &lt;a class="wiki_link" href="/250edo"&gt;250&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>