Tour of regular temperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 292978480 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 292978810 - 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>2012-01-17 15: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-17 15:23:11 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>292978810</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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Porwell temperaments temper out the porwell comma, |11 1 -3 -2> = 6144/6125. | Porwell temperaments temper out the porwell comma, |11 1 -3 -2> = 6144/6125. | ||
===[[Stearnsmic temperaments]]== | ===[[Stearnsmic temperaments]]=== | ||
Stearnsmic temperaments temper out the stearnsma, |1 10 0 -6> = 118098/117649. | Stearnsmic temperaments temper out the stearnsma, |1 10 0 -6> = 118098/117649. | ||
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Porwell temperaments temper out the porwell comma, |11 1 -3 -2&gt; = 6144/6125.<br /> | Porwell temperaments temper out the porwell comma, |11 1 -3 -2&gt; = 6144/6125.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:96:&lt; | <!-- ws:start:WikiTextHeadingRule:96:&lt;h3&gt; --><h3 id="toc48"><a name="Temperaments for a given comma--Stearnsmic temperaments"></a><!-- ws:end:WikiTextHeadingRule:96 --><a class="wiki_link" href="/Stearnsmic%20temperaments">Stearnsmic temperaments</a></h3> | ||
Stearnsmic temperaments temper out the stearnsma, |1 10 0 -6&gt; = 118098/117649.<br /> | Stearnsmic temperaments temper out the stearnsma, |1 10 0 -6&gt; = 118098/117649.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:98:&lt;h3&gt; --><h3 id="toc49"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:98:&lt;h3&gt; --><h3 id="toc49"><a name="Temperaments for a given comma--Hemimage temperaments"></a><!-- ws:end:WikiTextHeadingRule:98 --><a class="wiki_link" href="/Hemimage%20temperaments">Hemimage temperaments</a></h3> | ||
Hemimage temperaments temper out the hemimage comma, |5 -7 -1 3&gt; = 10976/10935.<br /> | Hemimage temperaments temper out the hemimage comma, |5 -7 -1 3&gt; = 10976/10935.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:100:&lt;h3&gt; --><h3 id="toc50"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:100:&lt;h3&gt; --><h3 id="toc50"><a name="Temperaments for a given comma--Breedsmic temperaments"></a><!-- ws:end:WikiTextHeadingRule:100 --><a class="wiki_link" href="/Breedsmic%20temperaments">Breedsmic temperaments</a></h3> | ||
A breedsmic temperament is one which tempers out the breedsma, |-5 -1 -2 4&gt; = 2401/2400. Some which do not get discussed elsewhere are collected on a page <a class="wiki_link" href="/Breedsmic%20temperaments">here</a>.<br /> | A breedsmic temperament is one which tempers out the breedsma, |-5 -1 -2 4&gt; = 2401/2400. Some which do not get discussed elsewhere are collected on a page <a class="wiki_link" href="/Breedsmic%20temperaments">here</a>.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:102:&lt;h3&gt; --><h3 id="toc51"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:102:&lt;h3&gt; --><h3 id="toc51"><a name="Temperaments for a given comma--Ragismic microtemperaments"></a><!-- ws:end:WikiTextHeadingRule:102 --><a class="wiki_link" href="/Ragismic%20microtemperaments">Ragismic microtemperaments</a></h3> | ||
A ragismic temperament is one which tempers out |-1 -7 4 1&gt; = 4375/4374. These are not by any means all microtemperaments, but those which are not highly accurate are probably best discussed under another heading. Accurate ones include ennealimmal, supermajor, enneadecal, amity, mitonic, parakleismic, gamera and vishnu. Pontiac belongs on the list but falls under the schismatic family rubric.<br /> | A ragismic temperament is one which tempers out |-1 -7 4 1&gt; = 4375/4374. These are not by any means all microtemperaments, but those which are not highly accurate are probably best discussed under another heading. Accurate ones include ennealimmal, supermajor, enneadecal, amity, mitonic, parakleismic, gamera and vishnu. Pontiac belongs on the list but falls under the schismatic family rubric.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:104:&lt;h3&gt; --><h3 id="toc52"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:104:&lt;h3&gt; --><h3 id="toc52"><a name="Temperaments for a given comma--31 comma temperaments"></a><!-- ws:end:WikiTextHeadingRule:104 --><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:106:&lt;h3&gt; --><h3 id="toc53"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:106:&lt;h3&gt; --><h3 id="toc53"><a name="Temperaments for a given comma--Turkish maqam music temperaments"></a><!-- ws:end:WikiTextHeadingRule:106 --><a class="wiki_link" href="/Turkish%20maqam%20music%20temperaments">Turkish maqam music temperaments</a></h3> | ||
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Vsrious 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">maqam music</a> in a systematic way. This includes, in effect, certain linear temperaments.<br /> | Vsrious 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">maqam music</a> in a systematic way. This includes, in effect, certain linear temperaments.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:108:&lt;h3&gt; --><h3 id="toc54"><a name="Temperaments for a given comma- | <!-- ws:start:WikiTextHeadingRule:108:&lt;h3&gt; --><h3 id="toc54"><a name="Temperaments for a given comma--Very low accuracy temperaments"></a><!-- ws:end:WikiTextHeadingRule:108 --><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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