Tour of regular temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 506390598 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 506391572 - 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>2014-05-04 16: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-05-04 16:55:06 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>506391572</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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A landscape temperament is one which tempers out |-4 6 -6 3> = 250047/250000. | A landscape temperament is one which tempers out |-4 6 -6 3> = 250047/250000. | ||
==[[Wizmic microtemperaments]]== | ===[[Wizmic microtemperaments]]=== | ||
A wizmic temperament is one which tempers out the wizma, | -6 -8 2 5 > = 420175/419904. | A wizmic temperament is one which tempers out the wizma, | -6 -8 2 5 > = 420175/419904. | ||
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A landscape temperament is one which tempers out |-4 6 -6 3&gt; = 250047/250000.<br /> | A landscape temperament is one which tempers out |-4 6 -6 3&gt; = 250047/250000.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:138:&lt; | <!-- ws:start:WikiTextHeadingRule:138:&lt;h3&gt; --><h3 id="toc69"><a name="Temperaments for a given comma--Wizmic microtemperaments"></a><!-- ws:end:WikiTextHeadingRule:138 --><a class="wiki_link" href="/Wizmic%20microtemperaments">Wizmic microtemperaments</a></h3> | ||
A wizmic temperament is one which tempers out the wizma, | -6 -8 2 5 &gt; = 420175/419904.<br /> | A wizmic temperament is one which tempers out the wizma, | -6 -8 2 5 &gt; = 420175/419904.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:140:&lt;h3&gt; --><h3 id="toc70"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:140:&lt;h3&gt; --><h3 id="toc70"><a name="Temperaments for a given comma--31 comma temperaments"></a><!-- ws:end:WikiTextHeadingRule:140 --><a class="wiki_link" href="/31%20comma%20temperaments">31 comma temperaments</a></h3> | ||
These all have period 1/31 of an octave.<br /> | These all have period 1/31 of an octave.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:142:&lt;h3&gt; --><h3 id="toc71"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:142:&lt;h3&gt; --><h3 id="toc71"><a name="Temperaments for a given comma--Turkish maqam music temperaments"></a><!-- ws:end:WikiTextHeadingRule:142 --><a class="wiki_link" href="/Turkish%20maqam%20music%20temperaments">Turkish maqam music temperaments</a></h3> | ||
Various theoretical solutions have been put forward for the vexing problem of how to indicate and define the tuning of Turkish <a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian">makam (maqam) music</a> in a systematic way. This includes, in effect, certain linear temperaments.<br /> | Various theoretical solutions have been put forward for the vexing problem of how to indicate and define the tuning of Turkish <a class="wiki_link" href="/Arabic%2C%20Turkish%2C%20Persian">makam (maqam) music</a> in a systematic way. This includes, in effect, certain linear temperaments.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:144:&lt;h3&gt; --><h3 id="toc72"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:144:&lt;h3&gt; --><h3 id="toc72"><a name="Temperaments for a given comma--Very low accuracy temperaments"></a><!-- ws:end:WikiTextHeadingRule:144 --><a class="wiki_link" href="/Very%20low%20accuracy%20temperaments">Very low accuracy temperaments</a></h3> | ||
All hope abandon ye who enter here.<br /> | All hope abandon ye who enter here.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:146:&lt;h3&gt; --><h3 id="toc73"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:146:&lt;h3&gt; --><h3 id="toc73"><a name="Temperaments for a given comma--Very high accuracy temperaments"></a><!-- ws:end:WikiTextHeadingRule:146 --><a class="wiki_link" href="/Very%20high%20accuracy%20temperaments">Very high accuracy temperaments</a></h3> | ||
Microtemperaments which don't fit in elsewhere.<br /> | Microtemperaments which don't fit in elsewhere.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:148:&lt;h3&gt; --><h3 id="toc74"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:148:&lt;h3&gt; --><h3 id="toc74"><a name="Temperaments for a given comma--High badness temperaments"></a><!-- ws:end:WikiTextHeadingRule:148 --><a class="wiki_link" href="/High%20badness%20temperaments">High badness temperaments</a></h3> | ||
High in badness, but worth cataloging for one reason or another.<br /> | High in badness, but worth cataloging for one reason or another.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:150:&lt;h3&gt; --><h3 id="toc75"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:150:&lt;h3&gt; --><h3 id="toc75"><a name="Temperaments for a given comma--11-limit comma temperaments"></a><!-- ws:end:WikiTextHeadingRule:150 --><a class="wiki_link" href="/11-limit%20comma%20temperaments">11-limit comma temperaments</a></h3> | ||
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<!-- ws:start:WikiTextHeadingRule:152:&lt;h1&gt; --><h1 id="toc76"><a name="Rank 3 temperaments"></a><!-- ws:end:WikiTextHeadingRule:152 -->Rank 3 temperaments</h1> | <!-- ws:start:WikiTextHeadingRule:152:&lt;h1&gt; --><h1 id="toc76"><a name="Rank 3 temperaments"></a><!-- ws:end:WikiTextHeadingRule:152 -->Rank 3 temperaments</h1> | ||