Archytas clan: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2011-01-~~11 23~~:09:09 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-12 00:19:55 UTC</tt>.<br>

: The original revision id was <tt>~~192628922~~</tt>.<br>

: The original revision id was <tt>209794038</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>

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<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;white-space: pre-wrap ! important" class="old-revision-html">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==

=Mother=

Commas: 16/15, 21/20

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Badness: 0.0242

==Blacksmith==

=Blacksmith=

Commas: 28/27, 49/48

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Badness: 0.0256

===Blackwood (5-limit)===

==Blackwood (5-limit)==

Comma: 256/243

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Badness: 0.0638

==Superpyth==

=Superpyth=

Commas: 64/63, 245/243

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Badness: 0.0323

===11-limit===

==11-limit==

Commas: 64/63, 100/99, 245/243

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Badness: 0.0250

==Beatles==

=Beatles=

Commas: 64/63, 686/675

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Music: http://sites.google.com/site/teamouse/

==Schism==

=Schism=

Commas: 64/63, 360/343

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Badness: 0.0566

==Passion==

=Passion=

Commas: 64/63, 3125/3087

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Badness: 0.0623

==Quasisuper==

=Quasisuper=

Commas: 64/63, 2430/2401

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<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 />

<br />

<h2 id="toc0"><a name="x-Mother"></a>Mother</h2>

<h1 id="toc0"><a name="Mother"></a>Mother</h1>

Commas: 16/15, 21/20<br />

<br />

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Badness: 0.0242<br />

<br />

<h2 id="toc1"><a name="x-Blacksmith"></a>Blacksmith</h2>

<h1 id="toc1"><a name="Blacksmith"></a>Blacksmith</h1>

Commas: 28/27, 49/48<br />

<br />

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Badness: 0.0256<br />

<br />

<h3 id="toc2"><a name="x-Blacksmith-Blackwood (5-limit)"></a>Blackwood (5-limit)</h3>

<h2 id="toc2"><a name="Blacksmith-Blackwood (5-limit)"></a>Blackwood (5-limit)</h2>

Comma: 256/243<br />

<br />

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Badness: 0.0638<br />

<br />

<h2 id="toc3"><a name="x-Superpyth"></a>Superpyth</h2>

<h1 id="toc3"><a name="Superpyth"></a>Superpyth</h1>

Commas: 64/63, 245/243<br />

<br />

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Badness: 0.0323<br />

<br />

<h3 id="toc4"><a name="x-Superpyth-11-limit"></a>11-limit</h3>

<h2 id="toc4"><a name="Superpyth-11-limit"></a>11-limit</h2>

Commas: 64/63, 100/99, 245/243<br />

<br />

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Badness: 0.0250<br />

<br />

<h2 id="toc5"><a name="x-Beatles"></a>Beatles</h2>

<h1 id="toc5"><a name="Beatles"></a>Beatles</h1>

Commas: 64/63, 686/675<br />

<br />

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Music: <a class="wiki_link_ext" href="http://sites.google.com/site/teamouse/" rel="nofollow">http://sites.google.com/site/teamouse/</a><br />

<br />

<h2 id="toc6"><a name="x-Schism"></a>Schism</h2>

<h1 id="toc6"><a name="Schism"></a>Schism</h1>

Commas: 64/63, 360/343<br />

<br />

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Badness: 0.0566<br />

<br />

<h2 id="toc7"><a name="x-Passion"></a>Passion</h2>

<h1 id="toc7"><a name="Passion"></a>Passion</h1>

Commas: 64/63, 3125/3087<br />

<br />

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Badness: 0.0623<br />

<br />

<h2 id="toc8"><a name="x-Quasisuper"></a>Quasisuper</h2>

<h1 id="toc8"><a name="Quasisuper"></a>Quasisuper</h1>

Commas: 64/63, 2430/2401<br />

<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-01-11 23:09:09 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-12 00:19:55 UTC</tt>.<br>
-: The original revision id was <tt>192628922</tt>.<br>
+: The original revision id was <tt>209794038</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>
@@ Line 8: / Line 8: @@
 <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;white-space: pre-wrap ! important" class="old-revision-html">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==
+=Mother=
 Commas: 16/15, 21/20
@@ Line 18: / Line 18: @@
 Badness: 0.0242
-==Blacksmith==
+=Blacksmith=
 Commas: 28/27, 49/48
@@ Line 28: / Line 28: @@
 Badness: 0.0256
-===Blackwood (5-limit)===
+==Blackwood (5-limit)==
 Comma: 256/243
@@ Line 37: / Line 37: @@
 Badness: 0.0638
-==Superpyth==
+=Superpyth=
 Commas: 64/63, 245/243
@@ Line 47: / Line 47: @@
 Badness: 0.0323
-===11-limit===
+==11-limit==
 Commas: 64/63, 100/99, 245/243
@@ Line 56: / Line 56: @@
 Badness: 0.0250
-==Beatles==
+=Beatles=
 Commas: 64/63, 686/675
@@ Line 68: / Line 68: @@
 Music: http://sites.google.com/site/teamouse/
-==Schism==
+=Schism=
 Commas: 64/63, 360/343
@@ Line 78: / Line 78: @@
 Badness: 0.0566
-==Passion==
+=Passion=
 Commas: 64/63, 3125/3087
@@ Line 89: / Line 89: @@
 Badness: 0.0623
-==Quasisuper==
+=Quasisuper=
 Commas: 64/63, 2430/2401
@@ Line 101: / Line 101: @@
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Archytas clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The &lt;em&gt;archytas clan&lt;/em&gt; tempers out the Archytas comma, 64/63. This leads to tunings with 3s and 7s quite sharp, such as those of &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;. 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 &lt;a class="wiki_link" href="/diaschismic%20family"&gt;diaschismic family&lt;/a&gt;, dominant under &lt;a class="wiki_link" href="/meantone%20family"&gt;meantone family&lt;/a&gt;, augene under &lt;a class="wiki_link" href="/augmented%20family"&gt;augmented family&lt;/a&gt; and porcupine under &lt;a class="wiki_link" href="/porcupine%20family"&gt;porcupine family&lt;/a&gt;. The rest are considered below.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Mother"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Mother&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Mother"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Mother&lt;/h1&gt;
 Commas: 16/15, 21/20&lt;br /&gt;
 &lt;br /&gt;
@@ Line 111: / Line 111: @@
 Badness: 0.0242&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Blacksmith"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Blacksmith&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Blacksmith"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Blacksmith&lt;/h1&gt;
 Commas: 28/27, 49/48&lt;br /&gt;
 &lt;br /&gt;
@@ Line 121: / Line 121: @@
 Badness: 0.0256&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Blacksmith-Blackwood (5-limit)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Blackwood (5-limit)&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Blacksmith-Blackwood (5-limit)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Blackwood (5-limit)&lt;/h2&gt;
 Comma: 256/243&lt;br /&gt;
 &lt;br /&gt;
@@ Line 130: / Line 130: @@
 Badness: 0.0638&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Superpyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Superpyth&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Superpyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Superpyth&lt;/h1&gt;
 Commas: 64/63, 245/243&lt;br /&gt;
 &lt;br /&gt;
@@ Line 140: / Line 140: @@
 Badness: 0.0323&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Superpyth-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;11-limit&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Superpyth-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;11-limit&lt;/h2&gt;
 Commas: 64/63, 100/99, 245/243&lt;br /&gt;
 &lt;br /&gt;
@@ Line 149: / Line 149: @@
 Badness: 0.0250&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Beatles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Beatles&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Beatles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Beatles&lt;/h1&gt;
 Commas: 64/63, 686/675&lt;br /&gt;
 &lt;br /&gt;
@@ Line 161: / Line 161: @@
 Music: &lt;!-- ws:start:WikiTextUrlRule:114:http://sites.google.com/site/teamouse/ --&gt;&lt;a class="wiki_link_ext" href="http://sites.google.com/site/teamouse/" rel="nofollow"&gt;http://sites.google.com/site/teamouse/&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:114 --&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Schism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Schism&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Schism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Schism&lt;/h1&gt;
 Commas: 64/63, 360/343&lt;br /&gt;
 &lt;br /&gt;
@@ Line 171: / Line 171: @@
 Badness: 0.0566&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Passion"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Passion&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Passion"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Passion&lt;/h1&gt;
 Commas: 64/63, 3125/3087&lt;br /&gt;
 &lt;br /&gt;
@@ Line 182: / Line 182: @@
 Badness: 0.0623&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Quasisuper"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Quasisuper&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Quasisuper"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Quasisuper&lt;/h1&gt;
 Commas: 64/63, 2430/2401&lt;br /&gt;
 &lt;br /&gt;