Subgroup temperaments: Difference between revisions

Revision as of 15:31, 13 February 2011

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 2011-02-13 15:31:37 UTC.

The original revision id was 201346436.

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:

Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords.

=2.3.7.11=

==Mechy==
Commas: 64/63, 99/98

[[POTE tuning|POTE generator]]: ~3/2 = 707.192

Sval map: [<1 0 6 13|, <0 1 -2 -6|]
EDOs: 5, 12, 17, 39, 56
Badness: 0.00933

==Skwares==
Commas: 99/98, 243/242

POTE generator: ~9/7 = 425.244

Sval map: [<1 3 6 7|, <0 -4 -9 -10|]
EDOs: 14, 17, 31, 48, 79, 127, 206
Badness: 0.0107

=2.9.7.11=

==Machine==
Commas: 64/63, 99/98

[[POTE tuning|POTE generator]]: ~8/7 = 214.384

[[Smonzos and Svals|Sval map]]: [<1 0 6 13|, <0 1 -1 -3|]
EDOs: 5, 6, 11, 17, 28
Badness: 0.00233

==Apparatus==
Commas: 41503/41472, 322102/321489

[[POTE tuning|POTE generator]]: ~77/72 = 115.507

[[Smonzos and Svals|Sval map]]: [<1 5 3 5|, <0 -19 -2 -16|]
EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623
Badness: 0.00263

==Mechanism==
Commas: 896/891, 26411/26244

[[POTE tuning|POTE generator]]: ~9/7 = 438.465

[[Smonzos and Svals|Sval map]]: [<1 5 5 2|, <0 -5 -6 4|]
EDOs: 8, 11, 30, 41, 52
Badness: 0.00439

Original HTML content:

<html><head><title>Subgroup temperaments</title></head><body>Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2.3.7.11"></a><!-- ws:end:WikiTextHeadingRule:0 -->2.3.7.11</h1>
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x2.3.7.11-Mechy"></a><!-- ws:end:WikiTextHeadingRule:2 -->Mechy</h2>
Commas: 64/63, 99/98<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~3/2 = 707.192<br />
<br />
Sval map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
EDOs: 5, 12, 17, 39, 56<br />
Badness: 0.00933<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x2.3.7.11-Skwares"></a><!-- ws:end:WikiTextHeadingRule:4 -->Skwares</h2>
Commas: 99/98, 243/242<br />
<br />
POTE generator: ~9/7 = 425.244<br />
<br />
Sval map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
EDOs: 14, 17, 31, 48, 79, 127, 206<br />
Badness: 0.0107<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="x2.9.7.11"></a><!-- ws:end:WikiTextHeadingRule:6 -->2.9.7.11</h1>
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x2.9.7.11-Machine"></a><!-- ws:end:WikiTextHeadingRule:8 -->Machine</h2>
Commas: 64/63, 99/98<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~8/7 = 214.384<br />
<br />
<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
EDOs: 5, 6, 11, 17, 28<br />
Badness: 0.00233<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x2.9.7.11-Apparatus"></a><!-- ws:end:WikiTextHeadingRule:10 -->Apparatus</h2>
Commas: 41503/41472, 322102/321489<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~77/72 = 115.507<br />
<br />
<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 5 3 5|, &lt;0 -19 -2 -16|]<br />
EDOs: 10, 21, 31, 52, 83, 135, 353, 488, 623<br />
Badness: 0.00263<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x2.9.7.11-Mechanism"></a><!-- ws:end:WikiTextHeadingRule:12 -->Mechanism</h2>
Commas: 896/891, 26411/26244<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~9/7 = 438.465<br />
<br />
<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 5 5 2|, &lt;0 -5 -6 4|]<br />
EDOs: 8, 11, 30, 41, 52<br />
Badness: 0.00439</body></html>

@@ 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>2011-02-13 01:42:58 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-13 15:31:37 UTC</tt>.<br>
-: The original revision id was <tt>201248706</tt>.<br>
+: The original revision id was <tt>201346436</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords.
+=2.3.7.11=
+==Mechy==
+Commas: 64/63, 99/98
+[[POTE tuning|POTE generator]]: ~3/2 = 707.192
+Sval map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
+EDOs: 5, 12, 17, 39, 56
+Badness: 0.00933
+==Skwares==
+Commas: 99/98, 243/242
+POTE generator: ~9/7 = 425.244
+Sval map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
+EDOs: 14, 17, 31, 48, 79, 127, 206
+Badness: 0.0107
 =2.9.7.11=
@@ Line 39: / Line 59: @@
 <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;Subgroup temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x2.9.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;2.9.7.11&lt;/h1&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x2.3.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;2.3.7.11&lt;/h1&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x2.3.7.11-Mechy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Mechy&lt;/h2&gt;
+Commas: 64/63, 99/98&lt;br /&gt;
+&lt;br /&gt;
+&lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~3/2 = 707.192&lt;br /&gt;
+&lt;br /&gt;
+Sval map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
+EDOs: 5, 12, 17, 39, 56&lt;br /&gt;
+Badness: 0.00933&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x2.3.7.11-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Skwares&lt;/h2&gt;
+Commas: 99/98, 243/242&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~9/7 = 425.244&lt;br /&gt;
+&lt;br /&gt;
+Sval map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
+EDOs: 14, 17, 31, 48, 79, 127, 206&lt;br /&gt;
+Badness: 0.0107&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="x2.9.7.11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;2.9.7.11&lt;/h1&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x2.9.7.11-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Machine&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x2.9.7.11-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Machine&lt;/h2&gt;
 Commas: 64/63, 99/98&lt;br /&gt;
 &lt;br /&gt;
@@ Line 50: / Line 90: @@
 Badness: 0.00233&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x2.9.7.11-Apparatus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Apparatus&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x2.9.7.11-Apparatus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Apparatus&lt;/h2&gt;
 Commas: 41503/41472, 322102/321489&lt;br /&gt;
 &lt;br /&gt;
@@ Line 59: / Line 99: @@
 Badness: 0.00263&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="x2.9.7.11-Mechanism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Mechanism&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x2.9.7.11-Mechanism"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Mechanism&lt;/h2&gt;
 Commas: 896/891, 26411/26244&lt;br /&gt;
 &lt;br /&gt;

Subgroup temperaments: Difference between revisions

Revision as of 15:31, 13 February 2011

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search