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Low harmonic entropy linear temperaments: Difference between revisions

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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:keenanpepper|keenanpepper]] and made on <tt>2011-08-16 17:35:23 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-16 19:38:20 UTC</tt>.<br>
: The original revision id was <tt>246336921</tt>.<br>
: The original revision id was <tt>246357423</tt>.<br>
: The revision comment was: <tt></tt><br>
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Temperaments where 4/3 has complexity 1 all have the same structure:
Temperaments where 4/3 has complexity 1 all have the same structure:
* [[Meantone]] (all-around)
* [[Meantone]] (all-around)
* [[Superpyth]] (all-around)
* [[Archytas clan#Superpyth|Superpyth]] (all-around)
* [[Mavila]] (coarse)
* [[Mavila]] (coarse)
* [[Helmholtz]]/[[garibaldi]] (fine)
* [[Helmholtz]]/[[garibaldi]] (fine)
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First of all, some small EDOs appear:&lt;br /&gt;
First of all, some small EDOs appear:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; (coarse)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt; (coarse)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; (coarse-medium)&lt;/li&gt;&lt;/ul&gt;Temperaments where 4/3 has complexity 1 all have the same structure:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; (coarse)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt; (coarse)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; (coarse-medium)&lt;/li&gt;&lt;/ul&gt;Temperaments where 4/3 has complexity 1 all have the same structure:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Meantone"&gt;Meantone&lt;/a&gt; (all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Superpyth"&gt;Superpyth&lt;/a&gt; (all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Mavila"&gt;Mavila&lt;/a&gt; (coarse)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Helmholtz"&gt;Helmholtz&lt;/a&gt;/&lt;a class="wiki_link" href="/garibaldi"&gt;garibaldi&lt;/a&gt; (fine)&lt;/li&gt;&lt;/ul&gt;Temperaments where 4/3 has complexity 2:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Meantone"&gt;Meantone&lt;/a&gt; (all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Archytas%20clan#Superpyth"&gt;Superpyth&lt;/a&gt; (all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Mavila"&gt;Mavila&lt;/a&gt; (coarse)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Helmholtz"&gt;Helmholtz&lt;/a&gt;/&lt;a class="wiki_link" href="/garibaldi"&gt;garibaldi&lt;/a&gt; (fine)&lt;/li&gt;&lt;/ul&gt;Temperaments where 4/3 has complexity 2:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Semaphore"&gt;Semaphore&lt;/a&gt; (both &lt;a class="wiki_link" href="/godzilla"&gt;godzilla&lt;/a&gt; and no-5's semaphore, all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Mohajira"&gt;Mohajira&lt;/a&gt; (both mohajira proper and no-5's mohajira, all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Srutal"&gt;Srutal&lt;/a&gt;/&lt;a class="wiki_link" href="/pajara"&gt;pajara&lt;/a&gt; (all-around)&lt;/li&gt;&lt;/ul&gt;Temperaments where 4/3 has complexity 3:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Semaphore"&gt;Semaphore&lt;/a&gt; (both &lt;a class="wiki_link" href="/godzilla"&gt;godzilla&lt;/a&gt; and no-5's semaphore, all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Mohajira"&gt;Mohajira&lt;/a&gt; (both mohajira proper and no-5's mohajira, all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Srutal"&gt;Srutal&lt;/a&gt;/&lt;a class="wiki_link" href="/pajara"&gt;pajara&lt;/a&gt; (all-around)&lt;/li&gt;&lt;/ul&gt;Temperaments where 4/3 has complexity 3:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Porcupine"&gt;Porcupine&lt;/a&gt; (all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Slendric"&gt;Slendric&lt;/a&gt; (medium-fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Liese"&gt;Liese&lt;/a&gt;/&lt;a class="wiki_link" href="/triton"&gt;triton&lt;/a&gt; (fine)&lt;/li&gt;&lt;/ul&gt;Temperaments where 4/3 has higher complexity:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Porcupine"&gt;Porcupine&lt;/a&gt; (all-around)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Slendric"&gt;Slendric&lt;/a&gt; (medium-fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Liese"&gt;Liese&lt;/a&gt;/&lt;a class="wiki_link" href="/triton"&gt;triton&lt;/a&gt; (fine)&lt;/li&gt;&lt;/ul&gt;Temperaments where 4/3 has higher complexity:&lt;br /&gt;
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