Jubilismic family: Difference between revisions

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**Imported revision 169078051 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 190734308 - Original comment: **
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<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>2010-10-08 23:29:34 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-03 17:28:43 UTC</tt>.<br>
: The original revision id was <tt>169078051</tt>.<br>
: The original revision id was <tt>190734308</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>
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[[edo|Edos]]: [[10edo|10]], [[12edo|12]], [[22edo|22]], [[26edo|26]], [[38edo|38]], [[48edo|48]]
[[edo|Edos]]: [[10edo|10]], [[12edo|12]], [[22edo|22]], [[26edo|26]], [[38edo|38]], [[48edo|48]]
Scales: [[jubilismic10]]
Scales: [[jubilismic10]]
==Jubilee==
Commas: 50/49, 99/98
Map: [&lt;2 0 0 1 4|, &lt;0 1 0 0 -2|, &lt;0 0 1 1 2|]
EDOS: 12, 22, 48
Badness: 0.000600
==Festival==
Commas: 50/49, 45/44
Map: [&lt;2 0 0 1 -4|, &lt;0 1 0 0 2|, &lt;0 0 1 1 1|]
EDOs: 10, 12, 26
Badness: 0.000689
==Fiesta==
Commas: 50/49, 56/55
Map: [&lt;2 0 0 1 7|, &lt;0 1 0 0 0|, &lt;0 0 1 1 0|]
EDOs: 10, 12
Badness: 0.000717
==Jamboree==
Commas: 50/49, 55/54
Map: [&lt;-1 0 1 0 1|, &lt;0 1 0 0 0|, &lt;0 0 0 1 0|]
EDOs: 10, 22
Badness: 0.000781
</pre></div>
</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
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&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 7/5, 3, 5&lt;br /&gt;
&lt;a class="wiki_link" href="/Generator"&gt;Generators&lt;/a&gt;: 7/5, 3, 5&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="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/26edo"&gt;26&lt;/a&gt;, &lt;a class="wiki_link" href="/38edo"&gt;38&lt;/a&gt;, &lt;a class="wiki_link" href="/48edo"&gt;48&lt;/a&gt;&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="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/26edo"&gt;26&lt;/a&gt;, &lt;a class="wiki_link" href="/38edo"&gt;38&lt;/a&gt;, &lt;a class="wiki_link" href="/48edo"&gt;48&lt;/a&gt;&lt;br /&gt;
Scales: &lt;a class="wiki_link" href="/jubilismic10"&gt;jubilismic10&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
Scales: &lt;a class="wiki_link" href="/jubilismic10"&gt;jubilismic10&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Jubilee"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Jubilee&lt;/h2&gt;
Commas: 50/49, 99/98&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 0 1 4|, &amp;lt;0 1 0 0 -2|, &amp;lt;0 0 1 1 2|]&lt;br /&gt;
EDOS: 12, 22, 48&lt;br /&gt;
Badness: 0.000600&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-Festival"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Festival&lt;/h2&gt;
Commas: 50/49, 45/44&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 0 1 -4|, &amp;lt;0 1 0 0 2|, &amp;lt;0 0 1 1 1|]&lt;br /&gt;
EDOs: 10, 12, 26&lt;br /&gt;
Badness: 0.000689&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Fiesta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Fiesta&lt;/h2&gt;
Commas: 50/49, 56/55&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 0 1 7|, &amp;lt;0 1 0 0 0|, &amp;lt;0 0 1 1 0|]&lt;br /&gt;
EDOs: 10, 12&lt;br /&gt;
Badness: 0.000717&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Jamboree"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Jamboree&lt;/h2&gt;
Commas: 50/49, 55/54&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;-1 0 1 0 1|, &amp;lt;0 1 0 0 0|, &amp;lt;0 0 0 1 0|]&lt;br /&gt;
EDOs: 10, 22&lt;br /&gt;
Badness: 0.000781&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 17:28, 3 January 2011

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author genewardsmith and made on 2011-01-03 17:28:43 UTC.
The original revision id was 190734308.
The revision comment was:

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

Original Wikitext content:

Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or [[http://en.wikipedia.org/wiki/Septimal_sixth-tone|septimal sixth-tone]]. It therefore identifies the two septimal tritones [[7_5|7/5]] and [[10_7|10/7]], an identification familiar from [[12edo]]. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.

[[Comma]]: 50/49

7 and 9 limit minimax tuning
[|1 0 0 0>, |0 1 0 0>, |-1/4 0 1/2 1/2>, 
|1/4 0 1/2 1/2>]
[[Eigenmonzo|Eigenmonzos]]: 2, 3/2, 35/32

Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|]
[[Generator|Generators]]: 7/5, 3, 5
[[edo|Edos]]: [[10edo|10]], [[12edo|12]], [[22edo|22]], [[26edo|26]], [[38edo|38]], [[48edo|48]]
Scales: [[jubilismic10]]

==Jubilee==
Commas: 50/49, 99/98

Map: [<2 0 0 1 4|, <0 1 0 0 -2|, <0 0 1 1 2|]
EDOS: 12, 22, 48
Badness: 0.000600

==Festival==
Commas: 50/49, 45/44

Map: [<2 0 0 1 -4|, <0 1 0 0 2|, <0 0 1 1 1|]
EDOs: 10, 12, 26
Badness: 0.000689

==Fiesta==
Commas: 50/49, 56/55

Map: [<2 0 0 1 7|, <0 1 0 0 0|, <0 0 1 1 0|]
EDOs: 10, 12
Badness: 0.000717

==Jamboree==
Commas: 50/49, 55/54

Map: [<-1 0 1 0 1|, <0 1 0 0 0|, <0 0 0 1 0|]
EDOs: 10, 22
Badness: 0.000781

Original HTML content:

<html><head><title>Jubilismic family</title></head><body>Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_sixth-tone" rel="nofollow">septimal sixth-tone</a>. It therefore identifies the two septimal tritones <a class="wiki_link" href="/7_5">7/5</a> and <a class="wiki_link" href="/10_7">10/7</a>, an identification familiar from <a class="wiki_link" href="/12edo">12edo</a>. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.<br />
<br />
<a class="wiki_link" href="/Comma">Comma</a>: 50/49<br />
<br />
7 and 9 limit minimax tuning<br />
[|1 0 0 0&gt;, |0 1 0 0&gt;, |-1/4 0 1/2 1/2&gt;, <br />
|1/4 0 1/2 1/2&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 3/2, 35/32<br />
<br />
Map: [&lt;2 0 0 1|, &lt;0 1 0 0|, &lt;0 0 1 1|]<br />
<a class="wiki_link" href="/Generator">Generators</a>: 7/5, 3, 5<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/26edo">26</a>, <a class="wiki_link" href="/38edo">38</a>, <a class="wiki_link" href="/48edo">48</a><br />
Scales: <a class="wiki_link" href="/jubilismic10">jubilismic10</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Jubilee"></a><!-- ws:end:WikiTextHeadingRule:0 -->Jubilee</h2>
Commas: 50/49, 99/98<br />
<br />
Map: [&lt;2 0 0 1 4|, &lt;0 1 0 0 -2|, &lt;0 0 1 1 2|]<br />
EDOS: 12, 22, 48<br />
Badness: 0.000600<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Festival"></a><!-- ws:end:WikiTextHeadingRule:2 -->Festival</h2>
Commas: 50/49, 45/44<br />
<br />
Map: [&lt;2 0 0 1 -4|, &lt;0 1 0 0 2|, &lt;0 0 1 1 1|]<br />
EDOs: 10, 12, 26<br />
Badness: 0.000689<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Fiesta"></a><!-- ws:end:WikiTextHeadingRule:4 -->Fiesta</h2>
Commas: 50/49, 56/55<br />
<br />
Map: [&lt;2 0 0 1 7|, &lt;0 1 0 0 0|, &lt;0 0 1 1 0|]<br />
EDOs: 10, 12<br />
Badness: 0.000717<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Jamboree"></a><!-- ws:end:WikiTextHeadingRule:6 -->Jamboree</h2>
Commas: 50/49, 55/54<br />
<br />
Map: [&lt;-1 0 1 0 1|, &lt;0 1 0 0 0|, &lt;0 0 0 1 0|]<br />
EDOs: 10, 22<br />
Badness: 0.000781</body></html>