Optimal patent val: 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:

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-11 14:55:50 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-11 15:31:30 UTC</tt>.

: The original revision id was <tt>~~235957372~~</tt>.

: The original revision id was <tt>235961452</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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=7-limit rank two=

Name: Optimal patent val: Val name: 1000*badness

[[Trienstonic clan|Father]]: [[5edo]] [<~~1 0 4 -2|, <0 1 -1 3|]~~ 21.312

[[Trienstonic clan|Father]]: [[5edo]] 3d&5 21.312

[[Archytas clan|Mother]]: [[5edo]] 2&3 24.152

[[Meantone family|Sharptone]]: [[5edo]] [<~~1 0 -4 -2|, <0 1 4 3|]~~ 24.848

[[Meantone family|Sharptone]]: [[5edo]] 5&7d 24.848

[[Dicot family|Dicot]]: [[7edo]] 4&7 19.935

[[Bug family|Beep]]: [[9edo]] 4&5 18.638

[[Dicot family|Sharp]]: [[10edo]] [<~~1 1 2 1|, <0 2 1 6|]~~ 28.942

[[Dicot family|Sharp]]: [[10edo]] 3d&7d 28.942

[[Dicot family|Decimal]]: [[10edo]] 4&10 28.334

[[Meantone family|Dominant]]: [[12edo]] 5&7 20.690

Line 53:

[[Augmented family|Hexe]]: [[12edo]] 6&12 57.730

[[Archytas clan|Blacksmith]]: [[15edo]] 5&10 25.640

[[Trienstonic clan|Opossum]]: [[15edo]] [<~~1 2 3 4|, <0 -3 -5 -9|]~~ 40.650

[[Trienstonic clan|Opossum]]: [[15edo]] 7d&8d 40.650

[[Gamelismic clan|Gorgo]]: [[16edo]] 5&16 46.385

[[Trienstonic clan|Octokaidecal]]: [[18edo]] 10&18 36.747

Line 163:

[[Marvel temperaments|Negric]]: [[9edo]] 1&9 30.617

[[Jubilismic clan|Diminished]]: [[12edo]] 4&12 22.132

[[Trienstonic clan|Opossum]]: [[15edo]] [<~~1 2 3 4 4|, <0 -3 -5 -9 -4|]~~ 22.325

[[Trienstonic clan|Opossum]]: [[15edo]] 7d&8d 22.325

[[Marvel temperaments|Negri]]: [[19edo]] 9&10 26.190

[[Marvel temperaments|Meanenneadecal]]: [[19edo]] 12&19 21.182

Line 281:

=13-limit rank two=

Name: Optimal patent val: Val name: 1000*badness

[[Quartonic temperaments|Progression]]: [[9edo]] [<~~1 1 2 2 3 3|, <0 5 3 7 4 6|]~~ 18.158

[[Quartonic temperaments|Progression]]: [[9edo]] 8d&9 18.158

[[Marvel temperaments|Negric]]: [[9edo]] 1&9 20.205

[[Trienstonic clan|Opossum]]: [[15edo]] [<~~1 2 3 4 4 4|, <0 -3 -5 -9 -4 -2|]~~ 19.389

[[Trienstonic clan|Opossum]]: [[15edo]] 7d&8d 19.389

[[Marvel temperaments|Negri]]: [[19edo]] 9&10 17.833

[[Starling temperaments|Sensis]]: [[19edo]] [<1 6 8 11 6 10|, <0 -7 -9 -13 -4 -10|] 20.017

Line 421:

<h1 id="toc1"><a name="x7-limit rank two"></a>7-limit rank two</h1>

Name: Optimal patent val: Val name: 1000*badness

<a class="wiki_link" href="/Trienstonic%20clan">Father</a>: <a class="wiki_link" href="/5edo">5edo</a> [&~~lt;1 0 4 -2|, &~~amp;~~lt;0 1 -1 3|]~~ 21.312

<a class="wiki_link" href="/Trienstonic%20clan">Father</a>: <a class="wiki_link" href="/5edo">5edo</a> 3d&amp;5 21.312

<a class="wiki_link" href="/Archytas%20clan">Mother</a>: <a class="wiki_link" href="/5edo">5edo</a> 2&amp;3 24.152

<a class="wiki_link" href="/Meantone%20family">Sharptone</a>: <a class="wiki_link" href="/5edo">5edo</a> [&~~lt;1 0 -4 -2|, &~~amp;~~lt;0 1 4 3|]~~ 24.848

<a class="wiki_link" href="/Meantone%20family">Sharptone</a>: <a class="wiki_link" href="/5edo">5edo</a> 5&amp;7d 24.848

<a class="wiki_link" href="/Dicot%20family">Dicot</a>: <a class="wiki_link" href="/7edo">7edo</a> 4&amp;7 19.935

<a class="wiki_link" href="/Bug%20family">Beep</a>: <a class="wiki_link" href="/9edo">9edo</a> 4&amp;5 18.638

<a class="wiki_link" href="/Dicot%20family">Sharp</a>: <a class="wiki_link" href="/10edo">10edo</a> [&~~lt;1 1 2 1|, &~~amp;~~lt;0 2 1 6|]~~ 28.942

<a class="wiki_link" href="/Dicot%20family">Sharp</a>: <a class="wiki_link" href="/10edo">10edo</a> 3d&amp;7d 28.942

<a class="wiki_link" href="/Dicot%20family">Decimal</a>: <a class="wiki_link" href="/10edo">10edo</a> 4&amp;10 28.334

<a class="wiki_link" href="/Meantone%20family">Dominant</a>: <a class="wiki_link" href="/12edo">12edo</a> 5&amp;7 20.690

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<a class="wiki_link" href="/Augmented%20family">Hexe</a>: <a class="wiki_link" href="/12edo">12edo</a> 6&amp;12 57.730

<a class="wiki_link" href="/Archytas%20clan">Blacksmith</a>: <a class="wiki_link" href="/15edo">15edo</a> 5&amp;10 25.640

<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> [&~~lt;1 2 3 4|, &~~amp;~~lt;0 -3 -5 -9|]~~ 40.650

<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> 7d&amp;8d 40.650

<a class="wiki_link" href="/Gamelismic%20clan">Gorgo</a>: <a class="wiki_link" href="/16edo">16edo</a> 5&amp;16 46.385

<a class="wiki_link" href="/Trienstonic%20clan">Octokaidecal</a>: <a class="wiki_link" href="/18edo">18edo</a> 10&amp;18 36.747

Line 543:

<a class="wiki_link" href="/Marvel%20temperaments">Negric</a>: <a class="wiki_link" href="/9edo">9edo</a> 1&amp;9 30.617

<a class="wiki_link" href="/Jubilismic%20clan">Diminished</a>: <a class="wiki_link" href="/12edo">12edo</a> 4&amp;12 22.132

<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> [&~~lt;1 2 3 4 4|, &~~amp;~~lt;0 -3 -5 -9 -4|]~~ 22.325

<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> 7d&amp;8d 22.325

<a class="wiki_link" href="/Marvel%20temperaments">Negri</a>: <a class="wiki_link" href="/19edo">19edo</a> 9&amp;10 26.190

<a class="wiki_link" href="/Marvel%20temperaments">Meanenneadecal</a>: <a class="wiki_link" href="/19edo">19edo</a> 12&amp;19 21.182

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<h1 id="toc5"><a name="x13-limit rank two"></a>13-limit rank two</h1>

Name: Optimal patent val: Val name: 1000*badness

<a class="wiki_link" href="/Quartonic%20temperaments">Progression</a>: <a class="wiki_link" href="/9edo">9edo</a> [&~~lt;1 1 2 2 3 3|, &~~amp;~~lt;0 5 3 7 4 6|]~~ 18.158

<a class="wiki_link" href="/Quartonic%20temperaments">Progression</a>: <a class="wiki_link" href="/9edo">9edo</a> 8d&amp;9 18.158

<a class="wiki_link" href="/Marvel%20temperaments">Negric</a>: <a class="wiki_link" href="/9edo">9edo</a> 1&amp;9 20.205

<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> [&~~lt;1 2 3 4 4 4|, &~~amp;~~lt;0 -3 -5 -9 -4 -2|]~~ 19.389

<a class="wiki_link" href="/Trienstonic%20clan">Opossum</a>: <a class="wiki_link" href="/15edo">15edo</a> 7d&amp;8d 19.389

<a class="wiki_link" href="/Marvel%20temperaments">Negri</a>: <a class="wiki_link" href="/19edo">19edo</a> 9&amp;10 17.833

<a class="wiki_link" href="/Starling%20temperaments">Sensis</a>: <a class="wiki_link" href="/19edo">19edo</a> [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|] 20.017

@@ 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>2011-06-11 14:55:50 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-06-11 15:31:30 UTC</tt>.<br>
-: The original revision id was <tt>235957372</tt>.<br>
+: The original revision id was <tt>235961452</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 41: / Line 41: @@
 =7-limit rank two=
 Name: Optimal patent val: Val name: 1000*badness
-[[Trienstonic clan|Father]]: [[5edo]] [&lt;1 0 4 -2|, &lt;0 1 -1 3|] 21.312
+[[Trienstonic clan|Father]]: [[5edo]] 3d&amp;5 21.312
 [[Archytas clan|Mother]]: [[5edo]] 2&amp;3 24.152
-[[Meantone family|Sharptone]]: [[5edo]] [&lt;1 0 -4 -2|, &lt;0 1 4 3|] 24.848
+[[Meantone family|Sharptone]]: [[5edo]] 5&amp;7d 24.848
 [[Dicot family|Dicot]]: [[7edo]] 4&amp;7 19.935
 [[Bug family|Beep]]: [[9edo]] 4&amp;5 18.638
-[[Dicot family|Sharp]]: [[10edo]] [&lt;1 1 2 1|, &lt;0 2 1 6|] 28.942
+[[Dicot family|Sharp]]: [[10edo]] 3d&amp;7d 28.942
 [[Dicot family|Decimal]]: [[10edo]] 4&amp;10 28.334
 [[Meantone family|Dominant]]: [[12edo]] 5&amp;7 20.690
@@ Line 53: / Line 53: @@
 [[Augmented family|Hexe]]: [[12edo]] 6&amp;12 57.730
 [[Archytas clan|Blacksmith]]: [[15edo]] 5&amp;10 25.640
-[[Trienstonic clan|Opossum]]: [[15edo]] [&lt;1 2 3 4|, &lt;0 -3 -5 -9|] 40.650
+[[Trienstonic clan|Opossum]]: [[15edo]] 7d&amp;8d 40.650
 [[Gamelismic clan|Gorgo]]: [[16edo]] 5&amp;16 46.385
 [[Trienstonic clan|Octokaidecal]]: [[18edo]] 10&amp;18 36.747
@@ Line 163: / Line 163: @@
 [[Marvel temperaments|Negric]]: [[9edo]] 1&amp;9 30.617
 [[Jubilismic clan|Diminished]]: [[12edo]] 4&amp;12 22.132
-[[Trienstonic clan|Opossum]]: [[15edo]] [&lt;1 2 3 4 4|, &lt;0 -3 -5 -9 -4|] 22.325
+[[Trienstonic clan|Opossum]]: [[15edo]] 7d&amp;8d 22.325
 [[Marvel temperaments|Negri]]: [[19edo]] 9&amp;10 26.190
 [[Marvel temperaments|Meanenneadecal]]: [[19edo]] 12&amp;19 21.182
@@ Line 281: / Line 281: @@
 =13-limit rank two=
 Name: Optimal patent val: Val name: 1000*badness
-[[Quartonic temperaments|Progression]]: [[9edo]] [&lt;1 1 2 2 3 3|, &lt;0 5 3 7 4 6|] 18.158
+[[Quartonic temperaments|Progression]]: [[9edo]] 8d&amp;9 18.158
 [[Marvel temperaments|Negric]]: [[9edo]] 1&amp;9 20.205
-[[Trienstonic clan|Opossum]]: [[15edo]] [&lt;1 2 3 4 4 4|, &lt;0 -3 -5 -9 -4 -2|] 19.389
+[[Trienstonic clan|Opossum]]: [[15edo]] 7d&amp;8d 19.389
 [[Marvel temperaments|Negri]]: [[19edo]] 9&amp;10 17.833
 [[Starling temperaments|Sensis]]: [[19edo]] [&lt;1 6 8 11 6 10|, &lt;0 -7 -9 -13 -4 -10|] 20.017
@@ Line 421: / Line 421: @@
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="x7-limit rank two"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7-limit rank two&lt;/h1&gt;
   Name: Optimal patent val: Val name: 1000*badness&lt;br /&gt;
-&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Father&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; [&amp;lt;1 0 4 -2|, &amp;lt;0 1 -1 3|] 21.312&lt;br /&gt;
+&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Father&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; 3d&amp;amp;5 21.312&lt;br /&gt;
 &lt;a class="wiki_link" href="/Archytas%20clan"&gt;Mother&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; 2&amp;amp;3 24.152&lt;br /&gt;
-&lt;a class="wiki_link" href="/Meantone%20family"&gt;Sharptone&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; [&amp;lt;1 0 -4 -2|, &amp;lt;0 1 4 3|] 24.848&lt;br /&gt;
+&lt;a class="wiki_link" href="/Meantone%20family"&gt;Sharptone&lt;/a&gt;: &lt;a class="wiki_link" href="/5edo"&gt;5edo&lt;/a&gt; 5&amp;amp;7d 24.848&lt;br /&gt;
 &lt;a class="wiki_link" href="/Dicot%20family"&gt;Dicot&lt;/a&gt;: &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt; 4&amp;amp;7 19.935&lt;br /&gt;
 &lt;a class="wiki_link" href="/Bug%20family"&gt;Beep&lt;/a&gt;: &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt; 4&amp;amp;5 18.638&lt;br /&gt;
-&lt;a class="wiki_link" href="/Dicot%20family"&gt;Sharp&lt;/a&gt;: &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt; [&amp;lt;1 1 2 1|, &amp;lt;0 2 1 6|] 28.942&lt;br /&gt;
+&lt;a class="wiki_link" href="/Dicot%20family"&gt;Sharp&lt;/a&gt;: &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt; 3d&amp;amp;7d 28.942&lt;br /&gt;
 &lt;a class="wiki_link" href="/Dicot%20family"&gt;Decimal&lt;/a&gt;: &lt;a class="wiki_link" href="/10edo"&gt;10edo&lt;/a&gt; 4&amp;amp;10 28.334&lt;br /&gt;
 &lt;a class="wiki_link" href="/Meantone%20family"&gt;Dominant&lt;/a&gt;: &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; 5&amp;amp;7 20.690&lt;br /&gt;
@@ Line 433: / Line 433: @@
 &lt;a class="wiki_link" href="/Augmented%20family"&gt;Hexe&lt;/a&gt;: &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; 6&amp;amp;12 57.730&lt;br /&gt;
 &lt;a class="wiki_link" href="/Archytas%20clan"&gt;Blacksmith&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt; 5&amp;amp;10 25.640&lt;br /&gt;
-&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Opossum&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt; [&amp;lt;1 2 3 4|, &amp;lt;0 -3 -5 -9|] 40.650&lt;br /&gt;
+&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Opossum&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt; 7d&amp;amp;8d 40.650&lt;br /&gt;
 &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Gorgo&lt;/a&gt;: &lt;a class="wiki_link" href="/16edo"&gt;16edo&lt;/a&gt; 5&amp;amp;16 46.385&lt;br /&gt;
 &lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Octokaidecal&lt;/a&gt;: &lt;a class="wiki_link" href="/18edo"&gt;18edo&lt;/a&gt; 10&amp;amp;18 36.747&lt;br /&gt;
@@ Line 543: / Line 543: @@
 &lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Negric&lt;/a&gt;: &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt; 1&amp;amp;9 30.617&lt;br /&gt;
 &lt;a class="wiki_link" href="/Jubilismic%20clan"&gt;Diminished&lt;/a&gt;: &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; 4&amp;amp;12 22.132&lt;br /&gt;
-&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Opossum&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt; [&amp;lt;1 2 3 4 4|, &amp;lt;0 -3 -5 -9 -4|] 22.325&lt;br /&gt;
+&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Opossum&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt; 7d&amp;amp;8d 22.325&lt;br /&gt;
 &lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Negri&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt; 9&amp;amp;10 26.190&lt;br /&gt;
 &lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Meanenneadecal&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt; 12&amp;amp;19 21.182&lt;br /&gt;
@@ Line 661: / Line 661: @@
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="x13-limit rank two"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;13-limit rank two&lt;/h1&gt;
   Name: Optimal patent val: Val name: 1000*badness&lt;br /&gt;
-&lt;a class="wiki_link" href="/Quartonic%20temperaments"&gt;Progression&lt;/a&gt;: &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt; [&amp;lt;1 1 2 2 3 3|, &amp;lt;0 5 3 7 4 6|] 18.158&lt;br /&gt;
+&lt;a class="wiki_link" href="/Quartonic%20temperaments"&gt;Progression&lt;/a&gt;: &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt; 8d&amp;amp;9 18.158&lt;br /&gt;
 &lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Negric&lt;/a&gt;: &lt;a class="wiki_link" href="/9edo"&gt;9edo&lt;/a&gt; 1&amp;amp;9 20.205&lt;br /&gt;
-&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Opossum&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt; [&amp;lt;1 2 3 4 4 4|, &amp;lt;0 -3 -5 -9 -4 -2|] 19.389&lt;br /&gt;
+&lt;a class="wiki_link" href="/Trienstonic%20clan"&gt;Opossum&lt;/a&gt;: &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt; 7d&amp;amp;8d 19.389&lt;br /&gt;
 &lt;a class="wiki_link" href="/Marvel%20temperaments"&gt;Negri&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt; 9&amp;amp;10 17.833&lt;br /&gt;
 &lt;a class="wiki_link" href="/Starling%20temperaments"&gt;Sensis&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt; [&amp;lt;1 6 8 11 6 10|, &amp;lt;0 -7 -9 -13 -4 -10|] 20.017&lt;br /&gt;