Septisemi temperaments

Revision as of 20:52, 5 February 2012 by Wikispaces>genewardsmith (**Imported revision 298704404 - Original comment: **)

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This revision was by author genewardsmith and made on 2012-02-05 20:52:25 UTC.
The original revision id was 298704404.
The revision comment was:

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Original Wikitext content:

[[toc|flat]]

These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/3 with 7/4, and 10/7 with 3/2.

=Fluorine= 
Commas: 21/20, 243/224

POTE generator: ~3/2 = 663.059

Map: [<1 0 -7 -5|, <0 1 6 5|]
Wedgie: <<1 6 5 7 5 -5||
EDOs: 9, 20bd, 29bd
Badness: 0.0556

=Sodium=
Commas: 21/20, 54/49

POTE generator: ~7/6 = 320.182

Map: [<1 1 1 2|, <0 2 5 3|]
Wedgie: <<2 5 3 3 -1 -7||
EDOs: 4, 11, 15b
Badness: 0.0558

=Oxygen=
Commas: 21/20, 175/162

POTE generator: ~7/6 = 169.112

Map: [<1 2 3 3|, <0 -3 -5 -2|]
Wedgie: <<3 5 2 1 -5 -9||
EDOs: 7d, 8
Badness: 0.0599




Original HTML content:

<html><head><title>Septisemi temperaments</title></head><body><!-- ws:start:WikiTextTocRule:6:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Fluorine">Fluorine</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --> | <a href="#Sodium">Sodium</a><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#Oxygen">Oxygen</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: -->
<!-- ws:end:WikiTextTocRule:10 --><br />
These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/3 with 7/4, and 10/7 with 3/2.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Fluorine"></a><!-- ws:end:WikiTextHeadingRule:0 -->Fluorine</h1>
 Commas: 21/20, 243/224<br />
<br />
POTE generator: ~3/2 = 663.059<br />
<br />
Map: [&lt;1 0 -7 -5|, &lt;0 1 6 5|]<br />
Wedgie: &lt;&lt;1 6 5 7 5 -5||<br />
EDOs: 9, 20bd, 29bd<br />
Badness: 0.0556<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Sodium"></a><!-- ws:end:WikiTextHeadingRule:2 -->Sodium</h1>
Commas: 21/20, 54/49<br />
<br />
POTE generator: ~7/6 = 320.182<br />
<br />
Map: [&lt;1 1 1 2|, &lt;0 2 5 3|]<br />
Wedgie: &lt;&lt;2 5 3 3 -1 -7||<br />
EDOs: 4, 11, 15b<br />
Badness: 0.0558<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Oxygen"></a><!-- ws:end:WikiTextHeadingRule:4 -->Oxygen</h1>
Commas: 21/20, 175/162<br />
<br />
POTE generator: ~7/6 = 169.112<br />
<br />
Map: [&lt;1 2 3 3|, &lt;0 -3 -5 -2|]<br />
Wedgie: &lt;&lt;3 5 2 1 -5 -9||<br />
EDOs: 7d, 8<br />
Badness: 0.0599</body></html>