Temperament orphanage: Difference between revisions
Wikispaces>guest **Imported revision 237281129 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 251240756 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-06 13:30:58 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>251240756</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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POTE generator: ~16/15 = 173.101 | POTE generator: ~16/15 = 173.101 | ||
Map: [<1 2 2|, <0 -3 2|] | Map: [<1 2 2|, <0 -3 2|] | ||
==Absurdity - 5-limit - tempers 10460353203/10240000000== | ==Absurdity - 5-limit - tempers 10460353203/10240000000== | ||
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Map: [&lt;1 2 2|, &lt;0 -3 2|]<br /> | Map: [&lt;1 2 2|, &lt;0 -3 2|]<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5 | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Welcome to the Temperament Orphanage-Absurdity - 5-limit - tempers 10460353203/10240000000"></a><!-- ws:end:WikiTextHeadingRule:10 -->Absurdity - 5-limit - tempers 10460353203/10240000000</h2> | ||
5&amp;84 temperament. So named because this is just an absurd temperament. If you have a better name for it then it doesn't have to be absurdity anymore. The generator is 81/80 and the period is 800/729, which is (10/9) / (81/80). This is also a part of the syntonic-chromatic equivalence continuum, in this case where (81/80)^5 = 25/24.<br /> | 5&amp;84 temperament. So named because this is just an absurd temperament. If you have a better name for it then it doesn't have to be absurdity anymore. The generator is 81/80 and the period is 800/729, which is (10/9) / (81/80). This is also a part of the syntonic-chromatic equivalence continuum, in this case where (81/80)^5 = 25/24.<br /> | ||
<a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=7_84&amp;limit=5" rel="nofollow" target="_blank">http://x31eq.com/cgi-bin/rt. cgi?ets=7_84&amp;limit=5</a><br /> | <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=7_84&amp;limit=5" rel="nofollow" target="_blank">http://x31eq.com/cgi-bin/rt. cgi?ets=7_84&amp;limit=5</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Welcome to the Temperament Orphanage-Sevond - 5-limit - tempers 5000000/4782969"></a><!-- ws:end:WikiTextHeadingRule:12 --><strong>Sevond</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 /> | ||
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<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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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="Welcome to the Temperament Orphanage-7&amp;49c - 5-limit - tempers 78125/69984"></a><!-- ws:end:WikiTextHeadingRule:14 --><strong>7&amp;</strong>49c - 5-limit - tempers 78125/69984</h2> | ||
This is similar to the above, but provides a less complex avenue to 5, but this time at the sake of accuracy. One generator from 5\7 puts you at 3/2, and one generator from 2\7 puts you at 5/4.<br /> | This is similar to the above, but provides a less complex avenue to 5, but this time at the sake of accuracy. One generator from 5\7 puts you at 3/2, and one generator from 2\7 puts you at 5/4.<br /> | ||
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