Temperament orphanage: Difference between revisions
Wikispaces>keenanpepper **Imported revision 231419776 - Original comment: ** |
Wikispaces>guest **Imported revision 235827406 - 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:guest|guest]] and made on <tt>2011-06-10 15:16:17 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>235827406</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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Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors. | Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors. | ||
==Smite - 5-limit - tempers 2916/3125== | |||
7&18 temperament. It equates (6/5)^5 with 8/3. It is so named because the generator is a really sharp minor third, the contraction of which is "smite." | |||
POTE generator: ~6/5 = 338.365 | |||
Map = [<1 3 4|, <0 -5 -6|> | |||
==Gravity - 5-limit - tempers 129140163/128000000== | ==Gravity - 5-limit - tempers 129140163/128000000== | ||
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Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors.<br /> | Please give a short description of whatever temperament you leave here so that someone can help to match this temperament back to its rightful progenitors.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Welcome to the Temperament Orphanage-Gravity - 5-limit - tempers 129140163/128000000"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Welcome to the Temperament Orphanage-Smite - 5-limit - tempers 2916/3125"></a><!-- ws:end:WikiTextHeadingRule:4 -->Smite - 5-limit - tempers 2916/3125</h2> | ||
7&amp;18 temperament. It equates (6/5)^5 with 8/3. It is so named because the generator is a really sharp minor third, the contraction of which is &quot;smite.&quot;<br /> | |||
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POTE generator: ~6/5 = 338.365<br /> | |||
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Map = [&lt;1 3 4|, &lt;0 -5 -6|&gt;<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Welcome to the Temperament Orphanage-Gravity - 5-limit - tempers 129140163/128000000"></a><!-- ws:end:WikiTextHeadingRule:6 -->Gravity - 5-limit - tempers 129140163/128000000</h2> | |||
5&amp;67 temperament. It equates (81/80)^4 with 25/24. It is so named because the generator is a &quot;Grave&quot; fifth (or 27/20). It is part of the Mavila -&gt; Dicot -&gt; Porcupine -&gt; Tetracot -&gt; Amity continuum, whereby (81/80)^n = 25/24.<br /> | 5&amp;67 temperament. It equates (81/80)^4 with 25/24. It is so named because the generator is a &quot;Grave&quot; fifth (or 27/20). It is part of the Mavila -&gt; Dicot -&gt; Porcupine -&gt; Tetracot -&gt; Amity continuum, whereby (81/80)^n = 25/24.<br /> | ||
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<a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=65_7&amp;limit=5" rel="nofollow" target="_blank">http://x31eq.com/cgi-bin/rt. cgi?ets=65_7&amp;limit=5</a><br /> | <a class="wiki_link_ext" href="http://x31eq.com/cgi-bin/rt.cgi?ets=65_7&amp;limit=5" rel="nofollow" target="_blank">http://x31eq.com/cgi-bin/rt. cgi?ets=65_7&amp;limit=5</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Welcome to the Temperament Orphanage-Absurdity - 5-limit - tempers 10460353203/10240000000"></a><!-- ws:end:WikiTextHeadingRule:8 -->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:10:&lt;h2&gt; --><h2 id="toc5"><a name="Welcome to the Temperament Orphanage-7&amp;49 - 5-limit - tempers 5000000/4782969"></a><!-- ws:end:WikiTextHeadingRule:10 --><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 /> | ||
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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:12:&lt;h2&gt; --><h2 id="toc6"><a name="Welcome to the Temperament Orphanage-7&amp;49c - 5-limit - tempers 78125/69984"></a><!-- ws:end:WikiTextHeadingRule:12 --><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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