Kalismic temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
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>2015-01-02 11:30:54 UTC</tt>.<br>
: The original revision id was <tt>536095768</tt>.<br>
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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>
<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">[[toc|flat]]
 
These are rank three temperaments tempering out 9801/9800, but we can began by looking at the rank four temperament.
These are rank three temperaments tempering out 9801/9800, but we can began by looking at the rank four temperament.


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Map: [&lt;2 0 0 0 3|, &lt;0 1 0 0 -2|, &lt;0 0 1 0 1|, &lt;0 0 0 1 1|]
Map: [&lt;2 0 0 0 3|, &lt;0 1 0 0 -2|, &lt;0 0 1 0 1|, &lt;0 0 0 1 1|]
Generators: 99/70, 3, 5, 7
Generators: 99/70, 3, 5, 7
EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254
EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254


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Map: [&lt;6 0 0 8 17|, &lt;0 1 0 -2 -4|, &lt;0 0 1 2 3|]
Map: [&lt;6 0 0 8 17|, &lt;0 1 0 -2 -4|, &lt;0 0 1 2 3|]
Generators: 55/49, 3, 5
Generators: 55/49, 3, 5
EDOs: 12, 42, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464
EDOs: 12, 42, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464
Badness: 0.000116
Badness: 0.000116


=Loki=  
=Loki=
Commas: 5632/5625, 9801/9800
Commas: 5632/5625, 9801/9800


Map: [&lt;2 0 0 -21 -18|, &lt;0 1 0 4 2|, &lt;0 0 1 3 4|]
Map: [&lt;2 0 0 -21 -18|, &lt;0 1 0 4 2|, &lt;0 0 1 3 4|]
Generators: 99/70, 3, 5
Generators: 99/70, 3, 5
EDOs: 12, 22, 86, 108, 118, 130, 248, 270, 670, 822, 940, 1092
EDOs: 12, 22, 86, 108, 118, 130, 248, 270, 670, 822, 940, 1092
Badness: 0.000493
Badness: 0.000493


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Map: [&lt;2, 0, 8, 0, 11|, &lt;0, 1, 1, 2, 1|, &lt;0, 0, -9, -1, -10|]
Map: [&lt;2, 0, 8, 0, 11|, &lt;0, 1, 1, 2, 1|, &lt;0, 0, -9, -1, -10|]
Generators: 99/70, 3, 9/7
Generators: 99/70, 3, 9/7
EDOs: 22, 58, 80, 284, 320, 342, 742, 764, 1084, 1106, 1448, 1506, 1848, 4038, 4802, 5144, 6992
EDOs: 22, 58, 80, 284, 320, 342, 742, 764, 1084, 1106, 1448, 1506, 1848, 4038, 4802, 5144, 6992
Badness: 0.000297</pre></div>
 
<h4>Original HTML content:</h4>
Badness: 0.000297
<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;Kalismic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#Odin"&gt;Odin&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt; | &lt;a href="#Loki"&gt;Loki&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#Van Gogh"&gt;Van Gogh&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
These are rank three temperaments tempering out 9801/9800, but we can began by looking at the rank four temperament.&lt;br /&gt;
&lt;br /&gt;
Comma: 9801/9800&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 0 0 3|, &amp;lt;0 1 0 0 -2|, &amp;lt;0 0 1 0 1|, &amp;lt;0 0 0 1 1|]&lt;br /&gt;
Generators: 99/70, 3, 5, 7&lt;br /&gt;
EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Odin"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Odin&lt;/h1&gt;
Commas: 9801/9800, 151263/151250&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;6 0 0 8 17|, &amp;lt;0 1 0 -2 -4|, &amp;lt;0 0 1 2 3|]&lt;br /&gt;
Generators: 55/49, 3, 5&lt;br /&gt;
EDOs: 12, 42, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464&lt;br /&gt;
Badness: 0.000116&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Loki"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Loki&lt;/h1&gt;
Commas: 5632/5625, 9801/9800&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 0 -21 -18|, &amp;lt;0 1 0 4 2|, &amp;lt;0 0 1 3 4|]&lt;br /&gt;
Generators: 99/70, 3, 5&lt;br /&gt;
EDOs: 12, 22, 86, 108, 118, 130, 248, 270, 670, 822, 940, 1092&lt;br /&gt;
Badness: 0.000493&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Van Gogh"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Van Gogh&lt;/h1&gt;
Commas: 9801/9800, 199297406/199290375&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2, 0, 8, 0, 11|, &amp;lt;0, 1, 1, 2, 1|, &amp;lt;0, 0, -9, -1, -10|]&lt;br /&gt;
Generators: 99/70, 3, 9/7&lt;br /&gt;
EDOs: 22, 58, 80, 284, 320, 342, 742, 764, 1084, 1106, 1448, 1506, 1848, 4038, 4802, 5144, 6992&lt;br /&gt;
Badness: 0.000297&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

These are rank three temperaments tempering out 9801/9800, but we can began by looking at the rank four temperament.

Comma: 9801/9800

Map: [<2 0 0 0 3|, <0 1 0 0 -2|, <0 0 1 0 1|, <0 0 0 1 1|]

Generators: 99/70, 3, 5, 7

EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254

Odin

Commas: 9801/9800, 151263/151250

Map: [<6 0 0 8 17|, <0 1 0 -2 -4|, <0 0 1 2 3|]

Generators: 55/49, 3, 5

EDOs: 12, 42, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464

Badness: 0.000116

Loki

Commas: 5632/5625, 9801/9800

Map: [<2 0 0 -21 -18|, <0 1 0 4 2|, <0 0 1 3 4|]

Generators: 99/70, 3, 5

EDOs: 12, 22, 86, 108, 118, 130, 248, 270, 670, 822, 940, 1092

Badness: 0.000493

Van Gogh

Commas: 9801/9800, 199297406/199290375

Map: [<2, 0, 8, 0, 11|, <0, 1, 1, 2, 1|, <0, 0, -9, -1, -10|]

Generators: 99/70, 3, 9/7

EDOs: 22, 58, 80, 284, 320, 342, 742, 764, 1084, 1106, 1448, 1506, 1848, 4038, 4802, 5144, 6992

Badness: 0.000297

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