The Archipelago: 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>2011-03-~~01 05~~:30:50 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-02 15:43:38 UTC</tt>.<br>

: The original revision id was <tt>~~205988644~~</tt>.<br>

: The original revision id was <tt>206653078</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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<0 0 0 0 1 0|

EDOs: 5, 9, 10, 15, 19, 24, 29, 43, 53, 58, 72, 87, 111, 121, 130, 183, 940

[[Optimal patent val]]: [[940edo]]

==Rank four temperaments==

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===1001/1000===

Commas: 676/675, 1001/1000

EDOs: 15, 19, 29, 43, 53, 58, 72, 87, 111, 130, 183, 198, 270, 940

[[Optimal patent val]]: [[940edo]]

===49/48===

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Map: [<2 0 1 3 7 -1|, <0 2 1 1 -2 4|, <0 0 2 1 3 2|]

Edos: 58, 72, 130, 198, 270, 940

[[Optimal patent val]]: [[940edo]]

Badness: 0.000433

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===[[Werckismic temperaments|History]]===

Commas: 364/363, 441/440, 1001/1000

EDOs: 15, 29, 43, 58, 72, 87, 130, 217, 289

[[Optimal patent val]]: [[289edo]]

Badness: 0.000540

Spectrum: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7

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Map: [<3 0 0 4 8 -3|, <0 2 0 -4 1 3|, <0 0 1 2 0 1|]

EDOs: 15, 72, 87, 111, 159, 183, 198, 270

[[Optimal patent val]]: [[270edo]]

Badness: 0.000549

Spectrum: 12/11, 15/13, 11/8, 4/3, 11/10, 18/13, 6/5, 5/4, 13/12, 15/11, 11/9, 13/10, 10/9, 7/5, 16/15, 13/11, 9/8, 16/13, 8/7, 14/11, 15/14, 7/6, 14/13, 9/7

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Commas: 351/350, 540/539, 676/675

EDOs: 19, 53, 58, 72, 111, 130, 183, 313

[[Optimal patent val]]: [[313edo]]

Badness: 0.000560

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Map: [<1 0 0 13 -9 1|, <0 2 0 -7 4 3|, <0 0 1 -2 4 1|]

EDOs: 34, 43, 53, 87, 130, 183, 217, 270, 940

[[Optimal patent val]]: [[940edo]]

Badness: 0.000604

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&lt;0 0 0 0 1 0|<br />

EDOs: 5, 9, 10, 15, 19, 24, 29, 43, 53, 58, 72, 87, 111, 121, 130, 183, 940<br />

<a class="wiki_link" href="/Optimal%20patent%20val">Optimal patent val</a>: <a class="wiki_link" href="/940edo">940edo</a><br />

<br />

<h2 id="toc0"><a name="x-Rank four temperaments"></a>Rank four temperaments</h2>

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<h3 id="toc1"><a name="x-Rank four temperaments-1001/1000"></a>1001/1000</h3>

Commas: 676/675, 1001/1000<br />

<br />

EDOs: 15, 19, 29, 43, 53, 58, 72, 87, 111, 130, 183, 198, 270, 940<br />

<a class="wiki_link" href="/Optimal%20patent%20val">Optimal patent val</a>: <a class="wiki_link" href="/940edo">940edo</a><br />

<br />

<h3 id="toc2"><a name="x-Rank four temperaments-49/48"></a>49/48</h3>

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Map: [&lt;2 0 1 3 7 -1|, &lt;0 2 1 1 -2 4|, &lt;0 0 2 1 3 2|]<br />

Edos: 58, 72, 130, 198, 270, 940<br />

<a class="wiki_link" href="/Optimal%20patent%20val">Optimal patent val</a>: <a class="wiki_link" href="/940edo">940edo</a><br />

Badness: 0.000433<br />

<br />

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<h3 id="toc8"><a name="x-Rank three temperaments-History"></a><a class="wiki_link" href="/Werckismic%20temperaments">History</a></h3>

Commas: 364/363, 441/440, 1001/1000<br />

<br />

EDOs: 15, 29, 43, 58, 72, 87, 130, 217, 289<br />

<a class="wiki_link" href="/Optimal%20patent%20val">Optimal patent val</a>: <a class="wiki_link" href="/289edo">289edo</a><br />

Badness: 0.000540<br />

<br />

Spectrum: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7<br />

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Map: [&lt;3 0 0 4 8 -3|, &lt;0 2 0 -4 1 3|, &lt;0 0 1 2 0 1|]<br />

EDOs: 15, 72, 87, 111, 159, 183, 198, 270<br />

<a class="wiki_link" href="/Optimal%20patent%20val">Optimal patent val</a>: <a class="wiki_link" href="/270edo">270edo</a><br />

Badness: 0.000549<br />

<br />

Spectrum: 12/11, 15/13, 11/8, 4/3, 11/10, 18/13, 6/5, 5/4, 13/12, 15/11, 11/9, 13/10, 10/9, 7/5, 16/15, 13/11, 9/8, 16/13, 8/7, 14/11, 15/14, 7/6, 14/13, 9/7<br />

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Commas: 351/350, 540/539, 676/675<br />

<br />

EDOs: 19, 53, 58, 72, 111, 130, 183, 313<br />

<a class="wiki_link" href="/Optimal%20patent%20val">Optimal patent val</a>: <a class="wiki_link" href="/313edo">313edo</a><br />

Badness: 0.000560<br />

<br />

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Map: [&lt;1 0 0 13 -9 1|, &lt;0 2 0 -7 4 3|, &lt;0 0 1 -2 4 1|]<br />

EDOs: 34, 43, 53, 87, 130, 183, 217, 270, 940<br />

<a class="wiki_link" href="/Optimal%20patent%20val">Optimal patent val</a>: <a class="wiki_link" href="/940edo">940edo</a><br />

Badness: 0.000604<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>2011-03-01 05:30:50 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-02 15:43:38 UTC</tt>.<br>
-: The original revision id was <tt>205988644</tt>.<br>
+: The original revision id was <tt>206653078</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 23: / Line 23: @@
 &lt;0 0 0 0 1 0|
 EDOs: 5, 9, 10, 15, 19, 24, 29, 43, 53, 58, 72, 87, 111, 121, 130, 183, 940
+[[Optimal patent val]]: [[940edo]]
 ==Rank four temperaments==
@@ Line 28: / Line 29: @@
 ===1001/1000===
 Commas: 676/675, 1001/1000
+EDOs: 15, 19, 29, 43, 53, 58, 72, 87, 111, 130, 183, 198, 270, 940
+[[Optimal patent val]]: [[940edo]]
 ===49/48===
@@ Line 48: / Line 52: @@
 Map: [&lt;2 0 1 3 7 -1|, &lt;0 2 1 1 -2 4|, &lt;0 0 2 1 3 2|]
 Edos: 58, 72, 130, 198, 270, 940
+[[Optimal patent val]]: [[940edo]]
 Badness: 0.000433
@@ Line 55: / Line 60: @@
 ===[[Werckismic temperaments|History]]===
 Commas: 364/363, 441/440, 1001/1000
+EDOs: 15, 29, 43, 58, 72, 87, 130, 217, 289
+[[Optimal patent val]]: [[289edo]]
+Badness: 0.000540
 Spectrum: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7
@@ Line 64: / Line 73: @@
 Map: [&lt;3 0 0 4 8 -3|, &lt;0 2 0 -4 1 3|, &lt;0 0 1 2 0 1|]
 EDOs: 15, 72, 87, 111, 159, 183, 198, 270
+[[Optimal patent val]]: [[270edo]]
 Badness: 0.000549
 Spectrum: 12/11, 15/13, 11/8, 4/3, 11/10, 18/13, 6/5, 5/4, 13/12, 15/11, 11/9, 13/10, 10/9, 7/5, 16/15, 13/11, 9/8, 16/13, 8/7, 14/11, 15/14, 7/6, 14/13, 9/7
@@ Line 71: / Line 82: @@
 Commas: 351/350, 540/539, 676/675
+EDOs: 19, 53, 58, 72, 111, 130, 183, 313
+[[Optimal patent val]]: [[313edo]]
 Badness: 0.000560
@@ Line 81: / Line 94: @@
 Map: [&lt;1 0 0 13 -9 1|, &lt;0 2 0 -7 4 3|, &lt;0 0 1 -2 4 1|]
 EDOs: 34, 43, 53, 87, 130, 183, 217, 270, 940
+[[Optimal patent val]]: [[940edo]]
 Badness: 0.000604
@@ Line 162: / Line 176: @@
 &amp;lt;0 0 0 0 1 0|&lt;br /&gt;
 EDOs: 5, 9, 10, 15, 19, 24, 29, 43, 53, 58, 72, 87, 111, 121, 130, 183, 940&lt;br /&gt;
+&lt;a class="wiki_link" href="/Optimal%20patent%20val"&gt;Optimal patent val&lt;/a&gt;: &lt;a class="wiki_link" href="/940edo"&gt;940edo&lt;/a&gt;&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-Rank four temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Rank four temperaments&lt;/h2&gt;
@@ Line 167: / Line 182: @@
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Rank four temperaments-1001/1000"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;1001/1000&lt;/h3&gt;
   Commas: 676/675, 1001/1000&lt;br /&gt;
+&lt;br /&gt;
+EDOs: 15, 19, 29, 43, 53, 58, 72, 87, 111, 130, 183, 198, 270, 940&lt;br /&gt;
+&lt;a class="wiki_link" href="/Optimal%20patent%20val"&gt;Optimal patent val&lt;/a&gt;: &lt;a class="wiki_link" href="/940edo"&gt;940edo&lt;/a&gt;&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-Rank four temperaments-49/48"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;49/48&lt;/h3&gt;
@@ Line 187: / Line 205: @@
 Map: [&amp;lt;2 0 1 3 7 -1|, &amp;lt;0 2 1 1 -2 4|, &amp;lt;0 0 2 1 3 2|]&lt;br /&gt;
 Edos: 58, 72, 130, 198, 270, 940&lt;br /&gt;
+&lt;a class="wiki_link" href="/Optimal%20patent%20val"&gt;Optimal patent val&lt;/a&gt;: &lt;a class="wiki_link" href="/940edo"&gt;940edo&lt;/a&gt;&lt;br /&gt;
 Badness: 0.000433&lt;br /&gt;
 &lt;br /&gt;
@@ Line 194: / Line 213: @@
 &lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-Rank three temperaments-History"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;&lt;a class="wiki_link" href="/Werckismic%20temperaments"&gt;History&lt;/a&gt;&lt;/h3&gt;
   Commas: 364/363, 441/440, 1001/1000&lt;br /&gt;
+&lt;br /&gt;
+EDOs: 15, 29, 43, 58, 72, 87, 130, 217, 289&lt;br /&gt;
+&lt;a class="wiki_link" href="/Optimal%20patent%20val"&gt;Optimal patent val&lt;/a&gt;: &lt;a class="wiki_link" href="/289edo"&gt;289edo&lt;/a&gt;&lt;br /&gt;
+Badness: 0.000540&lt;br /&gt;
 &lt;br /&gt;
 Spectrum: 11/10, 15/13, 14/11, 4/3, 7/5, 5/4, 11/8, 18/13, 15/11, 13/12, 13/10, 6/5, 8/7, 16/15, 12/11, 13/11, 9/8, 16/13, 15/14, 10/9, 7/6, 11/9, 14/13, 9/7&lt;br /&gt;
@@ Line 203: / Line 226: @@
 Map: [&amp;lt;3 0 0 4 8 -3|, &amp;lt;0 2 0 -4 1 3|, &amp;lt;0 0 1 2 0 1|]&lt;br /&gt;
 EDOs: 15, 72, 87, 111, 159, 183, 198, 270&lt;br /&gt;
+&lt;a class="wiki_link" href="/Optimal%20patent%20val"&gt;Optimal patent val&lt;/a&gt;: &lt;a class="wiki_link" href="/270edo"&gt;270edo&lt;/a&gt;&lt;br /&gt;
 Badness: 0.000549&lt;br /&gt;
+&lt;br /&gt;
 &lt;br /&gt;
 Spectrum: 12/11, 15/13, 11/8, 4/3, 11/10, 18/13, 6/5, 5/4, 13/12, 15/11, 11/9, 13/10, 10/9, 7/5, 16/15, 13/11, 9/8, 16/13, 8/7, 14/11, 15/14, 7/6, 14/13, 9/7&lt;br /&gt;
@@ Line 210: / Line 235: @@
   Commas: 351/350, 540/539, 676/675&lt;br /&gt;
 &lt;br /&gt;
+EDOs: 19, 53, 58, 72, 111, 130, 183, 313&lt;br /&gt;
+&lt;a class="wiki_link" href="/Optimal%20patent%20val"&gt;Optimal patent val&lt;/a&gt;: &lt;a class="wiki_link" href="/313edo"&gt;313edo&lt;/a&gt;&lt;br /&gt;
 Badness: 0.000560&lt;br /&gt;
 &lt;br /&gt;
@@ Line 220: / Line 247: @@
 Map: [&amp;lt;1 0 0 13 -9 1|, &amp;lt;0 2 0 -7 4 3|, &amp;lt;0 0 1 -2 4 1|]&lt;br /&gt;
 EDOs: 34, 43, 53, 87, 130, 183, 217, 270, 940&lt;br /&gt;
+&lt;a class="wiki_link" href="/Optimal%20patent%20val"&gt;Optimal patent val&lt;/a&gt;: &lt;a class="wiki_link" href="/940edo"&gt;940edo&lt;/a&gt;&lt;br /&gt;
 Badness: 0.000604&lt;br /&gt;
 &lt;br /&gt;