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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:genewardsmith|genewardsmith]] and made on <tt>2011-08-16 19:46:20 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-16 19:48:02 UTC</tt>.<br>
: The original revision id was <tt>246359163</tt>.<br>
: The original revision id was <tt>246359621</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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* [[Porcupine]] (all-around)
* [[Porcupine]] (all-around)
* [[Slendric]] (medium-fine)
* [[Slendric]] (medium-fine)
* [[Meantone family#Liese|Liese]]/[[triton]] (fine)
* [[Meantone family#Liese|Liese]]/[[Marvel temperaments#Triton|triton]] (fine)
Temperaments where 4/3 has higher complexity:
Temperaments where 4/3 has higher complexity:
* [[Magic]] (5, fine)
* [[Magic]] (5, fine)
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&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="/Schismatic%20family#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="/Schismatic%20family#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="/Meantone%20family#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="/Meantone%20family#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="/Meantone%20family#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="/Meantone%20family#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="/Meantone%20family#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="/Meantone%20family#Liese"&gt;Liese&lt;/a&gt;/&lt;a class="wiki_link" href="/Marvel%20temperaments#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="/Magic"&gt;Magic&lt;/a&gt; (5, fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Hanson"&gt;Hanson&lt;/a&gt;/&lt;a class="wiki_link" href="/keemun"&gt;keemun&lt;/a&gt; (6, fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Orwell"&gt;Orwell&lt;/a&gt; (7, extra fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Myna"&gt;Myna&lt;/a&gt; (10, extra fine)&lt;/li&gt;&lt;/ul&gt;Finally, a temperament in which 3 has two different mappings:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Magic"&gt;Magic&lt;/a&gt; (5, fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Hanson"&gt;Hanson&lt;/a&gt;/&lt;a class="wiki_link" href="/keemun"&gt;keemun&lt;/a&gt; (6, fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Orwell"&gt;Orwell&lt;/a&gt; (7, extra fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Myna"&gt;Myna&lt;/a&gt; (10, extra fine)&lt;/li&gt;&lt;/ul&gt;Finally, a temperament in which 3 has two different mappings:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Pseudo-semaphore"&gt;Pseudo-semaphore&lt;/a&gt; (medium)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Pseudo-semaphore"&gt;Pseudo-semaphore&lt;/a&gt; (medium)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
The following temperaments were not included in the list, because they don't stand out as good independent temperaments:&lt;br /&gt;
The following temperaments were not included in the list, because they don't stand out as good independent temperaments:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;Augmented (indistinguishable in practice from 12-EDO subsets)&lt;/li&gt;&lt;li&gt;Roulette (index-2 subtemperament of meantone)&lt;/li&gt;&lt;li&gt;Injera (pajara is simply better; injera just appears as a little shoulder on its side in a plot of average HE)&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;Augmented (indistinguishable in practice from 12-EDO subsets)&lt;/li&gt;&lt;li&gt;Roulette (index-2 subtemperament of meantone)&lt;/li&gt;&lt;li&gt;Injera (pajara is simply better; injera just appears as a little shoulder on its side in a plot of average HE)&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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