Porwell temperaments: Difference between revisions

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>~~2015~~-01-~~28 18~~:42:49 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2016-01-10 16:20:10 UTC</tt>.<br>

: The original revision id was <tt>~~538897638~~</tt>.<br>

: The original revision id was <tt>571568031</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 167:

Map: [<1 17 14 -7 10|, <0 -33 -25 21 -14|]

EDOs: 15, 122d, 137, 152, 608de, 623bde, 775bcde

Badness: 0.0437</pre></div>

Badness: 0.0437

=Polypyth=

Commas: 6144/6125, 179200/177147

POTE generator: ~3/2 = 704.174

Map: [<1 0 -31 52|, <0 1 21 -31|]

EDOs: 46, 121, 167, 288b, 455bcd, 743bcd

Badness: 0.13800

==11-limit==

Commas: 896/891, 2200/2187, 6144/6125

POTE generator: ~3/2 = 704.177

Map: [<1 0 -31 52 59|, <0 1 21 -31 -35|]

EDOs: 46, 121, 167, 288be, 455bcde

Badness: 0.0511

==13-limit==

Commas: 325/324, 352/351, 364/363, 1716/1715

POTE generator: ~3/2 = 704.168

Map: [<1 0 -31 52 59 64|, <0 1 21 -31 -35 -38|]

EDOs: 46, 121, 167, 288be

Badness: 0.0303

==17-limit==

Commas: 256/255, 325/324, 352/351, 364/363, 1716/1715

POTE generator: ~3/2 = 704.168

Map: [<1 0 -31 52 59 64 39|, <0 1 21 -31 -35 -38 -22|]

EDOs: 46, 121, 167, 288beg

Badness: 0.0191

</pre></div>

<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>Porwell temperaments</title></head><body><a href="#Hendecatonic">Hendecatonic</a> | <a href="#Hemischis">Hemischis</a> | <a href="#Twothirdtonic">Twothirdtonic</a> | <a href="#Nessafof">Nessafof</a> | <a href="#Septisuperfourth">Septisuperfourth</a> | <a href="#Whoops">Whoops</a>

<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>Porwell temperaments</title></head><body><a href="#Hendecatonic">Hendecatonic</a> | <a href="#Hemischis">Hemischis</a> | <a href="#Twothirdtonic">Twothirdtonic</a> | <a href="#Nessafof">Nessafof</a> | <a href="#Septisuperfourth">Septisuperfourth</a> | <a href="#Whoops">Whoops</a> | <a href="#Polypyth">Polypyth</a>

<hr />

<hr />

This family of temperaments tempers out the <em>porwell comma</em>, |11 1 -3 -2&gt; = 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof.<br />

<br />

Line 330:

Line 371:

Map: [&lt;1 17 14 -7 10|, &lt;0 -33 -25 21 -14|]<br />

EDOs: 15, 122d, 137, 152, 608de, 623bde, 775bcde<br />

Badness: 0.0437</body></html></pre></div>

Badness: 0.0437<br />

<br />

<h1 id="toc17"><a name="Polypyth"></a>Polypyth</h1>

Commas: 6144/6125, 179200/177147<br />

<br />

POTE generator: ~3/2 = 704.174<br />

<br />

Map: [&lt;1 0 -31 52|, &lt;0 1 21 -31|]<br />

EDOs: 46, 121, 167, 288b, 455bcd, 743bcd<br />

Badness: 0.13800<br />

<br />

<h2 id="toc18"><a name="Polypyth-11-limit"></a>11-limit</h2>

Commas: 896/891, 2200/2187, 6144/6125<br />

<br />

POTE generator: ~3/2 = 704.177<br />

<br />

Map: [&lt;1 0 -31 52 59|, &lt;0 1 21 -31 -35|]<br />

EDOs: 46, 121, 167, 288be, 455bcde<br />

Badness: 0.0511<br />

<br />

<h2 id="toc19"><a name="Polypyth-13-limit"></a>13-limit</h2>

Commas: 325/324, 352/351, 364/363, 1716/1715<br />

<br />

POTE generator: ~3/2 = 704.168<br />

<br />

Map: [&lt;1 0 -31 52 59 64|, &lt;0 1 21 -31 -35 -38|]<br />

EDOs: 46, 121, 167, 288be<br />

Badness: 0.0303<br />

<br />

<h2 id="toc20"><a name="Polypyth-17-limit"></a>17-limit</h2>

Commas: 256/255, 325/324, 352/351, 364/363, 1716/1715<br />

<br />

POTE generator: ~3/2 = 704.168<br />

<br />

Map: [&lt;1 0 -31 52 59 64 39|, &lt;0 1 21 -31 -35 -38 -22|]<br />

EDOs: 46, 121, 167, 288beg<br />

Badness: 0.0191</body></html></pre></div>

@@ 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>2015-01-28 18:42:49 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2016-01-10 16:20:10 UTC</tt>.<br>
-: The original revision id was <tt>538897638</tt>.<br>
+: The original revision id was <tt>571568031</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 167: / Line 167: @@
 Map: [&lt;1 17 14 -7 10|, &lt;0 -33 -25 21 -14|]
 EDOs: 15, 122d, 137, 152, 608de, 623bde, 775bcde
-Badness: 0.0437</pre></div>
+Badness: 0.0437
+=Polypyth=
+Commas: 6144/6125, 179200/177147
+POTE generator: ~3/2 = 704.174
+Map: [&lt;1 0 -31 52|, &lt;0 1 21 -31|]
+EDOs: 46, 121, 167, 288b, 455bcd, 743bcd
+Badness: 0.13800
+==11-limit==
+Commas: 896/891, 2200/2187, 6144/6125
+POTE generator: ~3/2 = 704.177
+Map: [&lt;1 0 -31 52 59|, &lt;0 1 21 -31 -35|]
+EDOs: 46, 121, 167, 288be, 455bcde
+Badness: 0.0511
+==13-limit==
+Commas: 325/324, 352/351, 364/363, 1716/1715
+POTE generator: ~3/2 = 704.168
+Map: [&lt;1 0 -31 52 59 64|, &lt;0 1 21 -31 -35 -38|]
+EDOs: 46, 121, 167, 288be
+Badness: 0.0303
+==17-limit==
+Commas: 256/255, 325/324, 352/351, 364/363, 1716/1715
+POTE generator: ~3/2 = 704.168
+Map: [&lt;1 0 -31 52 59 64 39|, &lt;0 1 21 -31 -35 -38 -22|]
+EDOs: 46, 121, 167, 288beg
+Badness: 0.0191
+</pre></div>
 <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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Porwell temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:34:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt;&lt;a href="#Hendecatonic"&gt;Hendecatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt; | &lt;a href="#Hemischis"&gt;Hemischis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;!-- ws:start:WikiTextTocRule:39: --&gt;&lt;!-- ws:end:WikiTextTocRule:39 --&gt;&lt;!-- ws:start:WikiTextTocRule:40: --&gt;&lt;!-- ws:end:WikiTextTocRule:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt; | &lt;a href="#Twothirdtonic"&gt;Twothirdtonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt; | &lt;a href="#Nessafof"&gt;Nessafof&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt; | &lt;a href="#Septisuperfourth"&gt;Septisuperfourth&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt; | &lt;a href="#Whoops"&gt;Whoops&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;
+<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;Porwell temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:42:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;&lt;a href="#Hendecatonic"&gt;Hendecatonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt; | &lt;a href="#Hemischis"&gt;Hemischis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt;&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt; | &lt;a href="#Twothirdtonic"&gt;Twothirdtonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt;&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt;&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt; | &lt;a href="#Nessafof"&gt;Nessafof&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt; | &lt;a href="#Septisuperfourth"&gt;Septisuperfourth&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt; | &lt;a href="#Whoops"&gt;Whoops&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt; | &lt;a href="#Polypyth"&gt;Polypyth&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt;&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;!-- ws:start:WikiTextTocRule:62: --&gt;&lt;!-- ws:end:WikiTextTocRule:62 --&gt;&lt;!-- ws:start:WikiTextTocRule:63: --&gt;&lt;!-- ws:end:WikiTextTocRule:63 --&gt;&lt;!-- ws:start:WikiTextTocRule:64: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;hr /&gt;
+&lt;!-- ws:end:WikiTextTocRule:64 --&gt;&lt;hr /&gt;
 This family of temperaments tempers out the &lt;em&gt;porwell comma&lt;/em&gt;, |11 1 -3 -2&amp;gt; = 6144/6125, and includes hemiwuerschmidt, orwell, amity, valentine, porcupine, hendecatonic, shrutar, hexadecimal, grendel, hemikleismic, mohajira, twothirdtonic and nessafof.&lt;br /&gt;
 &lt;br /&gt;
@@ Line 330: / Line 371: @@
 Map: [&amp;lt;1 17 14 -7 10|, &amp;lt;0 -33 -25 21 -14|]&lt;br /&gt;
 EDOs: 15, 122d, 137, 152, 608de, 623bde, 775bcde&lt;br /&gt;
-Badness: 0.0437&lt;/body&gt;&lt;/html&gt;</pre></div>
+Badness: 0.0437&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Polypyth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Polypyth&lt;/h1&gt;
+Commas: 6144/6125, 179200/177147&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~3/2 = 704.174&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 -31 52|, &amp;lt;0 1 21 -31|]&lt;br /&gt;
+EDOs: 46, 121, 167, 288b, 455bcd, 743bcd&lt;br /&gt;
+Badness: 0.13800&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Polypyth-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;11-limit&lt;/h2&gt;
+Commas: 896/891, 2200/2187, 6144/6125&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~3/2 = 704.177&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 -31 52 59|, &amp;lt;0 1 21 -31 -35|]&lt;br /&gt;
+EDOs: 46, 121, 167, 288be, 455bcde&lt;br /&gt;
+Badness: 0.0511&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Polypyth-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;13-limit&lt;/h2&gt;
+Commas: 325/324, 352/351, 364/363, 1716/1715&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~3/2 = 704.168&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 -31 52 59 64|, &amp;lt;0 1 21 -31 -35 -38|]&lt;br /&gt;
+EDOs: 46, 121, 167, 288be&lt;br /&gt;
+Badness: 0.0303&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Polypyth-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;17-limit&lt;/h2&gt;
+Commas: 256/255, 325/324, 352/351, 364/363, 1716/1715&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~3/2 = 704.168&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 0 -31 52 59 64 39|, &amp;lt;0 1 21 -31 -35 -38 -22|]&lt;br /&gt;
+EDOs: 46, 121, 167, 288beg&lt;br /&gt;
+Badness: 0.0191&lt;/body&gt;&lt;/html&gt;</pre></div>