Temperament orphanage: Difference between revisions
Wikispaces>genewardsmith **Imported revision 230365926 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 230369678 - 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>2011-05-20 12: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-05-20 12:14:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>230369678</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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==**7&49** - 5-limit - tempers 5000000/4782969== | ==**7&49** - 5-limit - tempers 5000000/4782969== | ||
This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4. | This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4. | ||
POTE generator: ~3/2 = 706.288 cents | |||
Map: [<7 0 -6|, <0 1 2|] | |||
EDOs: 7, 42, 49, 56, 119 | |||
Adding 875/864 to the commas extends this to the 7-limit: | |||
POTE generator: ~3/2 = 705.613 cents | |||
Map: [<7 0 -6 53|, <0 1 2 -3|] | |||
EDOs: 7, 56, 63, 119 | |||
[[http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&limit=5]] | [[http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&limit=5]] | ||
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<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Welcome to the Temperament Orphanage-7&amp;49 - 5-limit - tempers 5000000/4782969"></a><!-- ws:end:WikiTextHeadingRule:8 --><strong>7&amp;49</strong> - 5-limit - tempers 5000000/4782969</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Welcome to the Temperament Orphanage-7&amp;49 - 5-limit - tempers 5000000/4782969"></a><!-- ws:end:WikiTextHeadingRule:8 --><strong>7&amp;49</strong> - 5-limit - tempers 5000000/4782969</h2> | ||
This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4.<br /> | This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4.<br /> | ||
<br /> | |||
POTE generator: ~3/2 = 706.288 cents<br /> | |||
<br /> | |||
Map: [&lt;7 0 -6|, &lt;0 1 2|]<br /> | |||
EDOs: 7, 42, 49, 56, 119<br /> | |||
<br /> | |||
Adding 875/864 to the commas extends this to the 7-limit:<br /> | |||
<br /> | |||
POTE generator: ~3/2 = 705.613 cents<br /> | |||
<br /> | |||
Map: [&lt;7 0 -6 53|, &lt;0 1 2 -3|]<br /> | |||
EDOs: 7, 56, 63, 119<br /> | |||
<br /> | |||
<a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&amp;limit=5" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&amp;limit=5</a><br /> | <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&amp;limit=5" rel="nofollow">http://x31eq.com/cgi-bin/rt.cgi?ets=7_49&amp;limit=5</a><br /> | ||
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