Werckismic 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>2011-07-02 15:39:36 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-08 15:45:42 UTC</tt>.<br>

: The original revision id was <tt>~~239766851~~</tt>.<br>

: The original revision id was <tt>240548749</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 55:

EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320

Generators: 99/70, 3, 5

Badness: 0.000419</pre></div>

Badness: 0.000419

=Octowerck=

Commas: 420175/419904, 321489/320000

POTE generator: ~350/243 = 633.738

Map: [<8 0 -11 14|, <0 3 7 2|]

EDOs: 72, 176, 248, 320

Badness: 0.1023

==11-limit==

Commas: 441/440, 8019/8000, 41503/41472

POTE generator: ~121/84 = 633.355

Map: [<8 0 -11 14 15|, <0 3 7 2 3|]

EDOs: 72, 176, 248, 320

Badness: 0.0302

==13-limit==

Commas: 441/440, 729/728, 1001/1000, 6656/6655

POTE generator: ~75/52 = 633.742

Map: [<8 0 -11 14 15 -38|, <0 3 7 2 3 16|]

EDOs: 72, 248, 320

Badness: 0.0276

</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>Werckismic temperaments</title></head><body><a href="#Rank four">Rank four</a> | <a href="#History">History</a> | <a href="#Varuna">Varuna</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>Werckismic temperaments</title></head><body><a href="#Rank four">Rank four</a> | <a href="#History">History</a> | <a href="#Varuna">Varuna</a> | <a href="#Octowerck">Octowerck</a>

<br />

<br />

<h1 id="toc0"><a name="Rank four"></a>Rank four</h1>

These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.<br />

Line 106:

Line 134:

EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320<br />

Generators: 99/70, 3, 5<br />

Badness: 0.000419</body></html></pre></div>

Badness: 0.000419<br />

<br />

<h1 id="toc4"><a name="Octowerck"></a>Octowerck</h1>

Commas: 420175/419904, 321489/320000<br />

<br />

POTE generator: ~350/243 = 633.738<br />

<br />

Map: [&lt;8 0 -11 14|, &lt;0 3 7 2|]<br />

EDOs: 72, 176, 248, 320<br />

Badness: 0.1023<br />

<br />

<h2 id="toc5"><a name="Octowerck-11-limit"></a>11-limit</h2>

Commas: 441/440, 8019/8000, 41503/41472<br />

<br />

POTE generator: ~121/84 = 633.355<br />

<br />

Map: [&lt;8 0 -11 14 15|, &lt;0 3 7 2 3|]<br />

EDOs: 72, 176, 248, 320<br />

Badness: 0.0302<br />

<br />

<h2 id="toc6"><a name="Octowerck-13-limit"></a>13-limit</h2>

Commas: 441/440, 729/728, 1001/1000, 6656/6655<br />

<br />

POTE generator: ~75/52 = 633.742<br />

<br />

Map: [&lt;8 0 -11 14 15 -38|, &lt;0 3 7 2 3 16|]<br />

EDOs: 72, 248, 320<br />

Badness: 0.0276</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>2011-07-02 15:39:36 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-08 15:45:42 UTC</tt>.<br>
-: The original revision id was <tt>239766851</tt>.<br>
+: The original revision id was <tt>240548749</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 55: / Line 55: @@
 EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320
 Generators: 99/70, 3, 5
-Badness: 0.000419</pre></div>
+Badness: 0.000419
+=Octowerck=
+Commas: 420175/419904, 321489/320000
+POTE generator: ~350/243 = 633.738
+Map: [&lt;8 0 -11 14|, &lt;0 3 7 2|]
+EDOs: 72, 176, 248, 320
+Badness: 0.1023
+==11-limit==
+Commas: 441/440, 8019/8000, 41503/41472
+POTE generator: ~121/84 = 633.355
+Map: [&lt;8 0 -11 14 15|, &lt;0 3 7 2 3|]
+EDOs: 72, 176, 248, 320
+Badness: 0.0302
+==13-limit==
+Commas: 441/440, 729/728, 1001/1000, 6656/6655
+POTE generator: ~75/52 = 633.742
+Map: [&lt;8 0 -11 14 15 -38|, &lt;0 3 7 2 3 16|]
+EDOs: 72, 248, 320
+Badness: 0.0276
+</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;Werckismic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:8:&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:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt;&lt;a href="#Rank four"&gt;Rank four&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt; | &lt;a href="#History"&gt;History&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;!-- ws:start:WikiTextTocRule:11: --&gt;&lt;!-- ws:end:WikiTextTocRule:11 --&gt;&lt;!-- ws:start:WikiTextTocRule:12: --&gt; | &lt;a href="#Varuna"&gt;Varuna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:12 --&gt;&lt;!-- ws:start:WikiTextTocRule:13: --&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;Werckismic temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:14:&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:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;a href="#Rank four"&gt;Rank four&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt; | &lt;a href="#History"&gt;History&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Varuna"&gt;Varuna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt; | &lt;a href="#Octowerck"&gt;Octowerck&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;
-&lt;!-- ws:end:WikiTextTocRule:13 --&gt;&lt;br /&gt;
+&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Rank four"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Rank four&lt;/h1&gt;
 These are rank three temperaments tempering out 441/440, but we can began by looking at the rank four temperament.&lt;br /&gt;
@@ Line 106: / Line 134: @@
 EDOs: 12, 26, 46, 58, 72, 118, 130, 248, 320&lt;br /&gt;
 Generators: 99/70, 3, 5&lt;br /&gt;
-Badness: 0.000419&lt;/body&gt;&lt;/html&gt;</pre></div>
+Badness: 0.000419&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Octowerck"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Octowerck&lt;/h1&gt;
+Commas: 420175/419904, 321489/320000&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~350/243 = 633.738&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;8 0 -11 14|, &amp;lt;0 3 7 2|]&lt;br /&gt;
+EDOs: 72, 176, 248, 320&lt;br /&gt;
+Badness: 0.1023&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="Octowerck-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;11-limit&lt;/h2&gt;
+Commas: 441/440, 8019/8000, 41503/41472&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~121/84 = 633.355&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;8 0 -11 14 15|, &amp;lt;0 3 7 2 3|]&lt;br /&gt;
+EDOs: 72, 176, 248, 320&lt;br /&gt;
+Badness: 0.0302&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="Octowerck-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;13-limit&lt;/h2&gt;
+Commas: 441/440, 729/728, 1001/1000, 6656/6655&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~75/52 = 633.742&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;8 0 -11 14 15 -38|, &amp;lt;0 3 7 2 3 16|]&lt;br /&gt;
+EDOs: 72, 248, 320&lt;br /&gt;
+Badness: 0.0276&lt;/body&gt;&lt;/html&gt;</pre></div>