Swetismic temperaments: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 303510104 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 303510594 - 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>2012-02-20 21: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-20 21:13:05 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>303510594</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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==13-limit== | ==13-limit== | ||
Commas: 169/168, 540/539, 729/728 | |||
Map: [<1 0 0 -3 8 0|, <0 3 0 11 -13 7|, <0 0 1 0 1 0|] | Map: [<1 0 0 -3 8 0|, <0 3 0 11 -13 7|, <0 0 1 0 1 0|] | ||
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<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Hypnos-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Hypnos-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h2> | ||
Commas: 169/168, 540/539, 729/728<br /> | |||
<br /> | <br /> | ||
Map: [&lt;1 0 0 -3 8 0|, &lt;0 3 0 11 -13 7|, &lt;0 0 1 0 1 0|]<br /> | Map: [&lt;1 0 0 -3 8 0|, &lt;0 3 0 11 -13 7|, &lt;0 0 1 0 1 0|]<br /> | ||
EDOs: 19, 36, 53, 72, 125f, 197ef<br /> | EDOs: 19, 36, 53, 72, 125f, 197ef<br /> | ||
Badness: 0.001439</body></html></pre></div> | Badness: 0.001439</body></html></pre></div> | ||
Revision as of 21:13, 20 February 2012
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 2012-02-20 21:13:05 UTC.
- The original revision id was 303510594.
- 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:
[[toc]] These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament. Comma: 540/539 Map: [<1 0 0 0 2|, <0 1 0 0 3|, <0 0 0 1 -2|] Generators: 2, 3, 5, 7 EDOs: 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578 =Hades= Commas: 540/539, 4000/3993 Map: [<2 1 0 2 3|, <0 3 0 5 -1|, <0 0 1 0 1|] Generators: 99/70, 9/7, 5 EDOs: 22, 50, 58, 72, 130, 152, 224, 354, 578 Badness: 0.000361 ==13-limit== Commas: 540/539, 729/728, 1575/1573 Map: [<2 1 0 2 3 -2 |, <0 3 0 5 -1 13|, <0 0 1 0 1 0|] Generators: 99/70, 9/7, 5 EDOs: 36, 58, 72, 130, 224, 354, 578 Badness: 0.000535 ==Cerberus== Commas: 351/350, 364/363, 540/539 Map: [<2 1 0 2 3 1|, <0 3 0 5 -1 -4|, <0 0 1 0 1 2|] Generators: 55/39.9/7.5 EDOs: 22, 50, 58, 72, 130 Badness: 0.000766 =Minos= Commas: 540/539, 12005/11979 Map: [<1 0 2 1 2|, <0 2 4 3 4|, <0 0 -5 -1 -3|] Generators: 2.121/70.49/33 EDOs: 9, 49, 58, 72, 130, 193, 202, 467 Badness: 0.000886 ==13-limit== Commas: 364/363, 540/539, 676/675 Map: [<1 0 2 1 2 1|, <0 2 4 3 4 7|, <0 0 -5 -1 -3 -5|] Generators: 2.26/15.49/33 EDOs: 9, 54, 58, 72, 121, 130, 193 Badness: 0.000724 =Persephone= Commas: 540/539, 88209/87500 Map: [<1 0 4 -2 10|, <0 1 4 0 7|, <0 0 -5 3 -11|] EDOs: 50, 53, 58, 103, 108, 111, 161, 214, 272, 375, 1022bcde, 1236bcde, 1397bcde Badness: 0.002015 ==13-limit== Commas: 351/350, 540/539, 847/845 Map: [<1 0 4 -2 10 7|, <0 1 4 0 7 5|, <0 0 -5 3 -11 -7|] EDOs: 50, 53, 58, 103, 108, 111, 161, 214, 375, 700cdef, 861bcdef, 1075bcdef, 1236bcdef, 1450bcdef Badness: 0.000997 =Hypnos= Commas: 540/539, 72171/71680 Map: [<1 0 0 -3 8|, <0 3 0 11 -13|, <0 0 1 0 1|] EDOs: 19, 36, 53, 72, 161, 197e, 214, 233, 286, 358, 591be, 663be, 949bce Badness: 0.001629 ==13-limit== Commas: 169/168, 540/539, 729/728 Map: [<1 0 0 -3 8 0|, <0 3 0 11 -13 7|, <0 0 1 0 1 0|] EDOs: 19, 36, 53, 72, 125f, 197ef Badness: 0.001439
Original HTML content:
<html><head><title>Swetismic temperaments</title></head><body><!-- ws:start:WikiTextTocRule:18:<img id="wikitext@@toc@@normal" class="WikiMedia WikiMediaToc" title="Table of Contents" src="/site/embedthumbnail/toc/normal?w=225&h=100"/> --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><div style="margin-left: 1em;"><a href="#Hades">Hades</a></div> <!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --><div style="margin-left: 2em;"><a href="#Hades-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><div style="margin-left: 2em;"><a href="#Hades-Cerberus">Cerberus</a></div> <!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><div style="margin-left: 1em;"><a href="#Minos">Minos</a></div> <!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --><div style="margin-left: 2em;"><a href="#Minos-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 1em;"><a href="#Persephone">Persephone</a></div> <!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 2em;"><a href="#Persephone-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 1em;"><a href="#Hypnos">Hypnos</a></div> <!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 2em;"><a href="#Hypnos-13-limit">13-limit</a></div> <!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --></div> <!-- ws:end:WikiTextTocRule:28 --><br /> These are rank three temperaments tempering out 540/539, but we can began by looking at the rank four temperament.<br /> <br /> Comma: 540/539<br /> <br /> Map: [<1 0 0 0 2|, <0 1 0 0 3|, <0 0 0 1 -2|]<br /> Generators: 2, 3, 5, 7<br /> EDOs: 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Hades"></a><!-- ws:end:WikiTextHeadingRule:0 -->Hades</h1> Commas: 540/539, 4000/3993<br /> <br /> Map: [<2 1 0 2 3|, <0 3 0 5 -1|, <0 0 1 0 1|]<br /> Generators: 99/70, 9/7, 5<br /> EDOs: 22, 50, 58, 72, 130, 152, 224, 354, 578<br /> Badness: 0.000361<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Hades-13-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->13-limit</h2> Commas: 540/539, 729/728, 1575/1573<br /> <br /> Map: [<2 1 0 2 3 -2 |, <0 3 0 5 -1 13|, <0 0 1 0 1 0|]<br /> Generators: 99/70, 9/7, 5<br /> EDOs: 36, 58, 72, 130, 224, 354, 578<br /> Badness: 0.000535<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Hades-Cerberus"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cerberus</h2> Commas: 351/350, 364/363, 540/539<br /> <br /> Map: [<2 1 0 2 3 1|, <0 3 0 5 -1 -4|, <0 0 1 0 1 2|]<br /> Generators: 55/39.9/7.5<br /> EDOs: 22, 50, 58, 72, 130<br /> Badness: 0.000766<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Minos"></a><!-- ws:end:WikiTextHeadingRule:6 -->Minos</h1> Commas: 540/539, 12005/11979<br /> <br /> Map: [<1 0 2 1 2|, <0 2 4 3 4|, <0 0 -5 -1 -3|]<br /> Generators: 2.121/70.49/33<br /> EDOs: 9, 49, 58, 72, 130, 193, 202, 467<br /> Badness: 0.000886<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="Minos-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2> Commas: 364/363, 540/539, 676/675<br /> <br /> Map: [<1 0 2 1 2 1|, <0 2 4 3 4 7|, <0 0 -5 -1 -3 -5|]<br /> Generators: 2.26/15.49/33<br /> EDOs: 9, 54, 58, 72, 121, 130, 193<br /> Badness: 0.000724<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Persephone"></a><!-- ws:end:WikiTextHeadingRule:10 -->Persephone</h1> Commas: 540/539, 88209/87500<br /> <br /> Map: [<1 0 4 -2 10|, <0 1 4 0 7|, <0 0 -5 3 -11|]<br /> EDOs: 50, 53, 58, 103, 108, 111, 161, 214, 272, 375, 1022bcde, 1236bcde, 1397bcde<br /> Badness: 0.002015<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="Persephone-13-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit</h2> Commas: 351/350, 540/539, 847/845<br /> <br /> Map: [<1 0 4 -2 10 7|, <0 1 4 0 7 5|, <0 0 -5 3 -11 -7|]<br /> EDOs: 50, 53, 58, 103, 108, 111, 161, 214, 375, 700cdef, 861bcdef, 1075bcdef, 1236bcdef, 1450bcdef<br /> Badness: 0.000997<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="Hypnos"></a><!-- ws:end:WikiTextHeadingRule:14 -->Hypnos</h1> Commas: 540/539, 72171/71680<br /> <br /> Map: [<1 0 0 -3 8|, <0 3 0 11 -13|, <0 0 1 0 1|]<br /> EDOs: 19, 36, 53, 72, 161, 197e, 214, 233, 286, 358, 591be, 663be, 949bce<br /> Badness: 0.001629<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="Hypnos-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h2> Commas: 169/168, 540/539, 729/728<br /> <br /> Map: [<1 0 0 -3 8 0|, <0 3 0 11 -13 7|, <0 0 1 0 1 0|]<br /> EDOs: 19, 36, 53, 72, 125f, 197ef<br /> Badness: 0.001439</body></html>