Jubilismic family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 165789245 - Original comment: **
Wikispaces>xenwolf
**Imported revision 165806587 - 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>2010-09-27 15:37:50 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-27 16:36:23 UTC</tt>.<br>
: The original revision id was <tt>165789245</tt>.<br>
: The original revision id was <tt>165806587</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">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 and 10/7, an identification familiar from [[12edo]]. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.
<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;white-space: pre-wrap ! important" class="old-revision-html">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
[[Comma]]: 50/49


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


Map: [&lt;2 0 0 1|, &lt;0 1 0 0|, &lt;0 0 1 1|]
Map: [&lt;2 0 0 1|, &lt;0 1 0 0|, &lt;0 0 1 1|]
Generators: 7/5, 3, 5
[[Generator|Generators]]: 7/5, 3, 5
Edos: 10, 12, 22, 26, 38, 48
[[edo|Edos]]: [[10edo|10]], [[12edo|12]], [[22edo|22]], [[26edo|26]], [[38edo|38]], [[48edo|48]]


</pre></div>
</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;Jubilismic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_sixth-tone" rel="nofollow"&gt;septimal sixth-tone&lt;/a&gt;. It therefore identifies the two septimal tritones 7/5 and 10/7, an identification familiar from &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.&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;Jubilismic family&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma or &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_sixth-tone" rel="nofollow"&gt;septimal sixth-tone&lt;/a&gt;. It therefore identifies the two septimal tritones &lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt; and &lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt;, an identification familiar from &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;. While most rank three temperaments are planar, jubilismic temperament divides the octave in two.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Comma: 50/49&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt;: 50/49&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
7 and 9 limit minimax tuning&lt;br /&gt;
7 and 9 limit minimax tuning&lt;br /&gt;
[|1 0 0 0&amp;gt;, |0 1 0 0&amp;gt;, |-1/4 0 1/2 1/2&amp;gt;, &lt;br /&gt;
[|1 0 0 0&amp;gt;, |0 1 0 0&amp;gt;, |-1/4 0 1/2 1/2&amp;gt;, &lt;br /&gt;
|1/4 0 1/2 1/2&amp;gt;]&lt;br /&gt;
|1/4 0 1/2 1/2&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 3/2, 35/32&lt;br /&gt;
&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 3/2, 35/32&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 0 1|, &amp;lt;0 1 0 0|, &amp;lt;0 0 1 1|]&lt;br /&gt;
Map: [&amp;lt;2 0 0 1|, &amp;lt;0 1 0 0|, &amp;lt;0 0 1 1|]&lt;br /&gt;
Generators: 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;
Edos: 10, 12, 22, 26, 38, 48&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="/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;/body&gt;&lt;/html&gt;</pre></div>