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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>2011-08-20 05:28:47 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-08-28 20:04:35 UTC</tt>.<br>
: The original revision id was <tt>247150291</tt>.<br>
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* [[Helmholtz]]/[[garibaldi]] (fine)
* [[Helmholtz]]/[[garibaldi]] (fine)
Temperaments where 4/3 has complexity 2:
Temperaments where 4/3 has complexity 2:
* [[Semaphore]] (both [[godzilla]] and no-5's semaphore, all-around)
* [[Semiphore and Godzilla|Semiphore / godzilla]] (all-around)
* [[Mohajira]] (both mohajira proper and no-5's mohajira, all-around)
* [[Mohajira]] (both mohajira proper and no-5's mohajira, all-around)
* [[Srutal]]/[[pajara]] (all-around)
* [[Srutal]]/[[pajara]] (all-around)
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Finally, a temperament in which 3 has two different mappings:
Finally, a temperament in which 3 has two different mappings:
* [[Pseudo-semaphore]] (medium)
* [[Pseudo-semiphore]] (medium)


The following temperaments were not included in the list, because they don't stand out as good independent temperaments:
The following temperaments were not included in the list, because they don't stand out as good independent temperaments:
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&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="/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="/Semiphore%20and%20Godzilla"&gt;Semiphore / godzilla&lt;/a&gt; (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; (all-around; quite accurate)&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; (all-around; quite accurate)&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="/Magic"&gt;Magic&lt;/a&gt; (5, 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;li&gt;&lt;a class="wiki_link" href="/Hanson"&gt;Hanson&lt;/a&gt;/&lt;a class="wiki_link" href="/catakleismic"&gt;catakleismic&lt;/a&gt; (6, extra fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Miracle"&gt;Miracle&lt;/a&gt; (6, super duper fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Valentine"&gt;Valentine&lt;/a&gt; (9, super duper fine)&lt;/li&gt;&lt;/ul&gt;&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="/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;li&gt;&lt;a class="wiki_link" href="/Hanson"&gt;Hanson&lt;/a&gt;/&lt;a class="wiki_link" href="/catakleismic"&gt;catakleismic&lt;/a&gt; (6, extra fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Miracle"&gt;Miracle&lt;/a&gt; (6, super duper fine)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Valentine"&gt;Valentine&lt;/a&gt; (9, super duper fine)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
Finally, a temperament in which 3 has two different mappings:&lt;br /&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-semiphore"&gt;Pseudo-semiphore&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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