Tour of regular temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 302114750 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 303208660 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-02-19 19:23:48 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>303208660</tt>.<br> | ||
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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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These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/4 with 7/4. | These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/4 with 7/4. | ||
===[[ | ===[[Mint temperaments]]=== | ||
These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. | These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35. | ||
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Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6 and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". | Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6 and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". | ||
===[[ | ===[[Mint family]]=== | ||
The | The mint temperament tempers out 36/35, identifying both 7/6 with 6/5 and 5/4 with 9/7. | ||
===[[Valinorismic temperaments]]=== | ===[[Valinorismic temperaments]]=== | ||
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These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/4 with 7/4.<br /> | These are very low complexity temperaments tempering out the minor septimal semitone, 21/20 and hence equating 5/4 with 7/4.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:84:&lt;h3&gt; --><h3 id="toc42"><a name="Temperaments for a given comma-- | <!-- ws:start:WikiTextHeadingRule:84:&lt;h3&gt; --><h3 id="toc42"><a name="Temperaments for a given comma--Mint temperaments"></a><!-- ws:end:WikiTextHeadingRule:84 --><a class="wiki_link" href="/Mint%20temperaments">Mint temperaments</a></h3> | ||
These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35.<br /> | These are low complexity, high error temperaments tempering out the septimal quarter-tone, 36/35.<br /> | ||
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Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6 and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like &quot;semi-fourth&quot;.<br /> | Semaphore temperament tempers out 49/48 and thereby identifies the septimal minor third, 7/6 and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like &quot;semi-fourth&quot;.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:176:&lt;h3&gt; --><h3 id="toc88"><a name="Rank 3 temperaments-- | <!-- ws:start:WikiTextHeadingRule:176:&lt;h3&gt; --><h3 id="toc88"><a name="Rank 3 temperaments--Mint family"></a><!-- ws:end:WikiTextHeadingRule:176 --><a class="wiki_link" href="/Mint%20family">Mint family</a></h3> | ||
The | The mint temperament tempers out 36/35, identifying both 7/6 with 6/5 and 5/4 with 9/7.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:178:&lt;h3&gt; --><h3 id="toc89"><a name="Rank 3 temperaments--Valinorismic temperaments"></a><!-- ws:end:WikiTextHeadingRule:178 --><a class="wiki_link" href="/Valinorismic%20temperaments">Valinorismic temperaments</a></h3> | <!-- ws:start:WikiTextHeadingRule:178:&lt;h3&gt; --><h3 id="toc89"><a name="Rank 3 temperaments--Valinorismic temperaments"></a><!-- ws:end:WikiTextHeadingRule:178 --><a class="wiki_link" href="/Valinorismic%20temperaments">Valinorismic temperaments</a></h3> | ||