Archytas clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 189282803 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 189284673 - 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>2010-12-20 01: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-20 01:44:39 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>189284673</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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Commas: 64/63, 686/675 | Commas: 64/63, 686/675 | ||
[[POTE tuning|POTE generator]]: | [[POTE tuning|POTE generator]]: 355.904 | ||
Map: [<1 1 5 4|,<0 2 -9 -4|] | Map: [<1 1 5 4|,<0 2 -9 -4|] | ||
Wedgie: <<2 -9 -4 -19 -12 16|| | Wedgie: <<2 -9 -4 -19 -12 16|| | ||
EDOs: 10, 27, 118 | |||
===Schism=== | ===Schism=== | ||
Commas: 64/63, 360/343 | Commas: 64/63, 360/343 | ||
[[POTE tuning|POTE generator]]: | [[POTE tuning|POTE generator]]: 701.556 | ||
Map: [<1 0 15 6|, <0 1 -8 -2|] | |||
Wedgie: <<1 -8 -2 -15 -6 18|| | |||
EDOs: 12, 53, 65 | |||
===Passion=== | ===Passion=== | ||
Commas: 64/63, 3125/3087 | Commas: 64/63, 3125/3087 | ||
[[POTE tuning|POTE generator]]: | [[POTE tuning|POTE generator]]: 98.153 | ||
Map: [<1 2 2 2|, <0 -5 4 10|] | |||
Wedgie: <<5 -4 -10 -18 -30 -12|| | |||
Generators: 2, 16/15 | |||
EDOs: 12, 37, 49, 110, 379 | |||
===Quasisuper=== | ===Quasisuper=== | ||
Commas: 64/63, 2430/2401 | Commas: 64/63, 2430/2401 | ||
[[POTE tuning|POTE generator]]:</pre></div> | [[POTE tuning|POTE generator]]: 708.328 | ||
Map: [<1 0 23 6|, <0 1 -13 -2|] | |||
Wedgie: <<1 -13 -2 -23 -2 -6 32|| | |||
EDOs: 22, 61</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Archytas clan</title></head><body>The <em>archytas clan</em> tempers out the Archytas comma, 64/63. This leads to tunings with 3s and 7s quite sharp, such as those of <a class="wiki_link" href="/22edo">22edo</a>. Adding 50/49 to the list of commas gives pajara, 36/35 gives dominant, 16/15 gives mother, 126/125 gives augene, 28/27 gives blacksmith, 245/243 gives superpyth, 250/243 gives porcupine, 686/675 gives beatles, 360/343 gives schism, 3125/3087 gives passion, and 2430/2401 gives quasisuper. Pajara is discussed under <a class="wiki_link" href="/diaschismic%20family">diaschismic family</a>, dominant under <a class="wiki_link" href="/meantone%20family">meantone family</a>, augene under <a class="wiki_link" href="/augmented%20family">augmented family</a> and porcupine under <a class="wiki_link" href="/porcupine%20family">porcupine family</a>. The rest are considered below.<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Archytas clan</title></head><body>The <em>archytas clan</em> tempers out the Archytas comma, 64/63. This leads to tunings with 3s and 7s quite sharp, such as those of <a class="wiki_link" href="/22edo">22edo</a>. Adding 50/49 to the list of commas gives pajara, 36/35 gives dominant, 16/15 gives mother, 126/125 gives augene, 28/27 gives blacksmith, 245/243 gives superpyth, 250/243 gives porcupine, 686/675 gives beatles, 360/343 gives schism, 3125/3087 gives passion, and 2430/2401 gives quasisuper. Pajara is discussed under <a class="wiki_link" href="/diaschismic%20family">diaschismic family</a>, dominant under <a class="wiki_link" href="/meantone%20family">meantone family</a>, augene under <a class="wiki_link" href="/augmented%20family">augmented family</a> and porcupine under <a class="wiki_link" href="/porcupine%20family">porcupine family</a>. The rest are considered below.<br /> | ||
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Commas: 64/63, 686/675<br /> | Commas: 64/63, 686/675<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 355.904<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 5 4|,&lt;0 2 -9 -4|]<br /> | Map: [&lt;1 1 5 4|,&lt;0 2 -9 -4|]<br /> | ||
Wedgie: &lt;&lt;2 -9 -4 -19 -12 16||<br /> | Wedgie: &lt;&lt;2 -9 -4 -19 -12 16||<br /> | ||
EDOs: 10, 27, 118<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x--Schism"></a><!-- ws:end:WikiTextHeadingRule:8 -->Schism</h3> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x--Schism"></a><!-- ws:end:WikiTextHeadingRule:8 -->Schism</h3> | ||
Commas: 64/63, 360/343<br /> | Commas: 64/63, 360/343<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 701.556<br /> | ||
<br /> | |||
Map: [&lt;1 0 15 6|, &lt;0 1 -8 -2|]<br /> | |||
Wedgie: &lt;&lt;1 -8 -2 -15 -6 18||<br /> | |||
EDOs: 12, 53, 65<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x--Passion"></a><!-- ws:end:WikiTextHeadingRule:10 -->Passion</h3> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x--Passion"></a><!-- ws:end:WikiTextHeadingRule:10 -->Passion</h3> | ||
Commas: 64/63, 3125/3087<br /> | Commas: 64/63, 3125/3087<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 98.153<br /> | ||
<br /> | |||
Map: [&lt;1 2 2 2|, &lt;0 -5 4 10|]<br /> | |||
Wedgie: &lt;&lt;5 -4 -10 -18 -30 -12||<br /> | |||
Generators: 2, 16/15<br /> | |||
EDOs: 12, 37, 49, 110, 379<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x--Quasisuper"></a><!-- ws:end:WikiTextHeadingRule:12 -->Quasisuper</h3> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x--Quasisuper"></a><!-- ws:end:WikiTextHeadingRule:12 -->Quasisuper</h3> | ||
Commas: 64/63, 2430/2401<br /> | Commas: 64/63, 2430/2401<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:</body></html></pre></div> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 708.328<br /> | ||
<br /> | |||
Map: [&lt;1 0 23 6|, &lt;0 1 -13 -2|]<br /> | |||
Wedgie: &lt;&lt;1 -13 -2 -23 -2 -6 32||<br /> | |||
EDOs: 22, 61</body></html></pre></div> | |||