Lehmerismic temperaments: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>genewardsmith
**Imported revision 203028292 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 203033778 - 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>2011-02-18 06:16:48 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-18 07:00:37 UTC</tt>.<br>
: The original revision id was <tt>203028292</tt>.<br>
: The original revision id was <tt>203033778</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>
Line 30: Line 30:
Badness: 0.000349
Badness: 0.000349


==Hel==
==Ganesha==
Commas: 3025/3024, 5632/5625
Commas: 3025/3024, 5632/5625


Line 62: Line 62:
Badness: 0.000349&lt;br /&gt;
Badness: 0.000349&lt;br /&gt;
&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-Hel"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Hel&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Ganesha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Ganesha&lt;/h2&gt;
Commas: 3025/3024, 5632/5625&lt;br /&gt;
Commas: 3025/3024, 5632/5625&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;

Revision as of 07:00, 18 February 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 2011-02-18 07:00:37 UTC.
The original revision id was 203033778.
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:

These are rank three temperaments tempering out 3025/3024, but we can began by looking at the rank four temperament.

Comma: 3025/3024

Map: [<1 0 0 0 2|, <0 1 0 1 2|, <0 0 1 0 -1|, <0 0 0 2 1|]
Generators: 2, 3, 5, 55/36
EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554

==Tyr==
Commas: 3025/3024, 102487/102400

Map: [<3 0 0 4 8|, <0 2 0 -4 1|, <0 0 1 2 0|]
Generators: 63/50, 400/231, 5
EDOs: 15, 57, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566
Badness: 0.000259

==Skadi==
Commas: 3025/3024, 703125/702464

Map: [<1 0 5 8 1|, <0 1 1 3 2|, <0 0 -6 -14 -1|]
Generators: 2, 3, 18/11
EDOs: 31, 97, 121, 152, 311, 342, 836, 1178, 2014
Badness: 0.000349

==Ganesha==
Commas: 3025/3024, 5632/5625

Map: [<1 0 0 -22 -9|, <0 1 0 1 2|, <0 0 1 10 4|]
Generators: 2, 3, 5
EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502
Badness: 0.000390

Original HTML content:

<html><head><title>Lehmerismic temperaments</title></head><body>These are rank three temperaments tempering out 3025/3024, but we can began by looking at the rank four temperament.<br />
<br />
Comma: 3025/3024<br />
<br />
Map: [&lt;1 0 0 0 2|, &lt;0 1 0 1 2|, &lt;0 0 1 0 -1|, &lt;0 0 0 2 1|]<br />
Generators: 2, 3, 5, 55/36<br />
EDOs: 5, 10, 15, 26, 31, 41, 72, 118, 224, 270, 342, 612, 836, 1106, 1448, 2554<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Tyr"></a><!-- ws:end:WikiTextHeadingRule:0 -->Tyr</h2>
Commas: 3025/3024, 102487/102400<br />
<br />
Map: [&lt;3 0 0 4 8|, &lt;0 2 0 -4 1|, &lt;0 0 1 2 0|]<br />
Generators: 63/50, 400/231, 5<br />
EDOs: 15, 57, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566<br />
Badness: 0.000259<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Skadi"></a><!-- ws:end:WikiTextHeadingRule:2 -->Skadi</h2>
Commas: 3025/3024, 703125/702464<br />
<br />
Map: [&lt;1 0 5 8 1|, &lt;0 1 1 3 2|, &lt;0 0 -6 -14 -1|]<br />
Generators: 2, 3, 18/11<br />
EDOs: 31, 97, 121, 152, 311, 342, 836, 1178, 2014<br />
Badness: 0.000349<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Ganesha"></a><!-- ws:end:WikiTextHeadingRule:4 -->Ganesha</h2>
Commas: 3025/3024, 5632/5625<br />
<br />
Map: [&lt;1 0 0 -22 -9|, &lt;0 1 0 1 2|, &lt;0 0 1 10 4|]<br />
Generators: 2, 3, 5<br />
EDOs: 31, 87, 118, 152, 239, 270, 962, 1232, 1502<br />
Badness: 0.000390</body></html>