Archytas clan: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 189244715 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 189250641 - 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>2010-12-19 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-19 19:06:26 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>189250641</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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===Mother=== | ===Mother=== | ||
Commas: 16/15, 21/20 | Commas: 16/15, 21/20 | ||
[[POTE tuning|POTE generator]]: 721.569 | |||
Map: [<1 0 4 6|, <0 1 -1 -2|] | |||
EDOs: 5, 148, 153 | |||
===Blacksmith=== | ===Blacksmith=== | ||
Commas: 28/27, 49/48 | Commas: 28/27, 49/48 | ||
[[POTE tuning|POTE generator]]: 392.767 | |||
Map: [<5 8 0 14|, <0 0 1 0|] | |||
EDOs: 5, 10, 15, 55 | |||
===Superpyth=== | ===Superpyth=== | ||
Commas: 64/63, 245/243 | Commas: 64/63, 245/243 | ||
[[POTE tuning|POTE generator]]: 710.291 | |||
Map: [<1 0 -12 6|, <0 1 9 -2|] | |||
EDOs: 5, 17, 22, 27, 49 | |||
===Beatles=== | ===Beatles=== | ||
Commas: 64/63, 686/675 | Commas: 64/63, 686/675 | ||
[[POTE tuning|POTE generator]]: | |||
===Schism=== | ===Schism=== | ||
Commas: 64/63, 360/343 | Commas: 64/63, 360/343 | ||
[[POTE tuning|POTE generator]]: | |||
===Passion=== | ===Passion=== | ||
Commas: 64/63, 3125/3087 | Commas: 64/63, 3125/3087 | ||
[[POTE tuning|POTE generator]]: | |||
===Quasisuper=== | ===Quasisuper=== | ||
Commas: 64/63, 2430/2401 | Commas: 64/63, 2430/2401 | ||
</pre></div> | [[POTE tuning|POTE generator]]:</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 /> | ||
| Line 35: | Line 56: | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Mother"></a><!-- ws:end:WikiTextHeadingRule:0 -->Mother</h3> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Mother"></a><!-- ws:end:WikiTextHeadingRule:0 -->Mother</h3> | ||
Commas: 16/15, 21/20<br /> | Commas: 16/15, 21/20<br /> | ||
<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 721.569<br /> | |||
<br /> | |||
Map: [&lt;1 0 4 6|, &lt;0 1 -1 -2|]<br /> | |||
EDOs: 5, 148, 153<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x--Blacksmith"></a><!-- ws:end:WikiTextHeadingRule:2 -->Blacksmith</h3> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x--Blacksmith"></a><!-- ws:end:WikiTextHeadingRule:2 -->Blacksmith</h3> | ||
Commas: 28/27, 49/48<br /> | Commas: 28/27, 49/48<br /> | ||
<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 392.767<br /> | |||
<br /> | |||
Map: [&lt;5 8 0 14|, &lt;0 0 1 0|]<br /> | |||
EDOs: 5, 10, 15, 55<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x--Superpyth"></a><!-- ws:end:WikiTextHeadingRule:4 -->Superpyth</h3> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x--Superpyth"></a><!-- ws:end:WikiTextHeadingRule:4 -->Superpyth</h3> | ||
Commas: 64/63, 245/243<br /> | Commas: 64/63, 245/243<br /> | ||
<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 710.291<br /> | |||
<br /> | |||
Map: [&lt;1 0 -12 6|, &lt;0 1 9 -2|]<br /> | |||
EDOs: 5, 17, 22, 27, 49<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x--Beatles"></a><!-- ws:end:WikiTextHeadingRule:6 -->Beatles</h3> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x--Beatles"></a><!-- ws:end:WikiTextHeadingRule:6 -->Beatles</h3> | ||
Commas: 64/63, 686/675<br /> | Commas: 64/63, 686/675<br /> | ||
<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<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 /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<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 /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<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</body></html></pre></div> | Commas: 64/63, 2430/2401<br /> | ||
<br /> | |||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:</body></html></pre></div> | |||
Revision as of 19:06, 19 December 2010
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2010-12-19 19:06:26 UTC.
- The original revision id was 189250641.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The //archytas clan// tempers out the Archytas comma, 64/63. This leads to tunings with 3s and 7s quite sharp, such as those of [[22edo]]. 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 [[diaschismic family]], dominant under [[meantone family]], augene under [[augmented family]] and porcupine under [[porcupine family]]. The rest are considered below. ===Mother=== Commas: 16/15, 21/20 [[POTE tuning|POTE generator]]: 721.569 Map: [<1 0 4 6|, <0 1 -1 -2|] EDOs: 5, 148, 153 ===Blacksmith=== Commas: 28/27, 49/48 [[POTE tuning|POTE generator]]: 392.767 Map: [<5 8 0 14|, <0 0 1 0|] EDOs: 5, 10, 15, 55 ===Superpyth=== Commas: 64/63, 245/243 [[POTE tuning|POTE generator]]: 710.291 Map: [<1 0 -12 6|, <0 1 9 -2|] EDOs: 5, 17, 22, 27, 49 ===Beatles=== Commas: 64/63, 686/675 [[POTE tuning|POTE generator]]: ===Schism=== Commas: 64/63, 360/343 [[POTE tuning|POTE generator]]: ===Passion=== Commas: 64/63, 3125/3087 [[POTE tuning|POTE generator]]: ===Quasisuper=== Commas: 64/63, 2430/2401 [[POTE tuning|POTE generator]]:
Original HTML content:
<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 /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--Mother"></a><!-- ws:end:WikiTextHeadingRule:0 -->Mother</h3> Commas: 16/15, 21/20<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 721.569<br /> <br /> Map: [<1 0 4 6|, <0 1 -1 -2|]<br /> EDOs: 5, 148, 153<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x--Blacksmith"></a><!-- ws:end:WikiTextHeadingRule:2 -->Blacksmith</h3> Commas: 28/27, 49/48<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 392.767<br /> <br /> Map: [<5 8 0 14|, <0 0 1 0|]<br /> EDOs: 5, 10, 15, 55<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x--Superpyth"></a><!-- ws:end:WikiTextHeadingRule:4 -->Superpyth</h3> Commas: 64/63, 245/243<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 710.291<br /> <br /> Map: [<1 0 -12 6|, <0 1 9 -2|]<br /> EDOs: 5, 17, 22, 27, 49<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h3> --><h3 id="toc3"><a name="x--Beatles"></a><!-- ws:end:WikiTextHeadingRule:6 -->Beatles</h3> Commas: 64/63, 686/675<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h3> --><h3 id="toc4"><a name="x--Schism"></a><!-- ws:end:WikiTextHeadingRule:8 -->Schism</h3> Commas: 64/63, 360/343<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h3> --><h3 id="toc5"><a name="x--Passion"></a><!-- ws:end:WikiTextHeadingRule:10 -->Passion</h3> Commas: 64/63, 3125/3087<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h3> --><h3 id="toc6"><a name="x--Quasisuper"></a><!-- ws:end:WikiTextHeadingRule:12 -->Quasisuper</h3> Commas: 64/63, 2430/2401<br /> <br /> <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>:</body></html>