8L 3s: 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:~~Osmiorisbendi~~|~~Osmiorisbendi~~]] and made on <tt>2011-05-~~18 19~~:03:35 UTC</tt>.

: This revision was by author [[User:guest|guest]] and made on <tt>2011-08-29 04:27:37 UTC</tt>.

: The original revision id was <tt>~~229788076~~</tt>.

: The original revision id was <tt>249050497</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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||||||||||||||~ Generator ||~ Scale steps ||~ Comments ||

|| 4\[[11edo|11]] || || || || || || || 1 1 1 1 1 1 1 1 1 1 1 || ||

|| 4\[[11edo|11]] || || || || || || || 1 1 1 1 1 1 1 1 1 1 1 ||= ||

|| || || || 15\[[41edo|41]] || || || || 4 4 3 4 4 4 3 4 4 4 3 || ||

|| || || || 15\[[41edo|41]] || || || || 4 4 3 4 4 4 3 4 4 4 3 ||= ||

|| || || || || 26\[[71edo|71]] || || || 7 7 5 7 7 7 5 7 7 7 5 || ||

|| || || || || 26\[[71edo|71]] || || || 7 7 5 7 7 7 5 7 7 7 5 ||= ||

|| || || 11\[[30edo|30]] || || || || || 3 3 2 3 3 3 2 3 3 3 2 || ||

|| || || 11\[[30edo|30]] || || || || || 3 3 2 3 3 3 2 3 3 3 2 ||= Optimum rank range (L/s=3/2) ||

|| || || || || 29\[[79edo|79]] || || || 8 8 5 8 8 8 5 8 8 8 5 || ||

|| || || || || 29\[[79edo|79]] || || || 8 8 5 8 8 8 5 8 8 8 5 ||= ||

|| || || || 18\[[49edo|49]] || || || || 5 5 3 5 5 5 3 5 5 5 3 || ||

|| || || || || || 47\128 || || 13 13 8... ||= Unnamed golden temperament ||

|| || || || || 25\[[68edo|68]] || || || 7 7 4 7 7 7 4 7 7 7 4 || ||

|| || || || 18\[[49edo|49]] || || || || 5 5 3 5 5 5 3 5 5 5 3 ||= ||

|| || || || || || 32\[[87edo|87]] || || 9 9 5 9 9 9 5 9 9 9 5 || ||

|| || || || || 25\[[68edo|68]] || || || 7 7 4 7 7 7 4 7 7 7 4 ||= ||

|| || || || || || || 39\[[106edo|106]] || 11 11 6 ~~11 11 11 6 11 11 11 6~~ || ||

|| || || || || || 32\[[87edo|87]] || || 9 9 5 9 9 9 5 9 9 9 5 ||= ||

|| || 7\[[19edo|19]] || || || || || || 2 2 1 2 2 2 1 2 2 2 1 || Boundary of propriety: generators

|| || || || || || || 39\[[106edo|106]] || 11 11 6... ||= ||

|| || 7\[[19edo|19]] || || || || || || 2 2 1 2 2 2 1 2 2 2 1 ||= Boundary of propriety: generators

smaller than this are proper ||

|| || || || || || || 38\[[103edo|103]] || 11 11 5 ~~11 11 11 5 11 11 11 5~~ || ||

|| || || || || || || 38\[[103edo|103]] || 11 11 5... ||= ||

|| || || || || || 31\[[84edo|84]] || || 9 9 4 9 9 9 4 9 9 9 4 || ||

|| || || || || || 31\[[84edo|84]] || || 9 9 4 9 9 9 4 9 9 9 4 ||= ||

|| || || || || 24\[[65edo|65]] || || || 7 7 3 7 7 7 3 7 7 7 3 || ||

|| || || || || 24\[[65edo|65]] || || || 7 7 3 7 7 7 3 7 7 7 3 ||= ||

|| || || || 17\[[46edo|46]] || || || || 5 5 2 5 5 5 2 5 5 5 2 || Sensi is about here ||

|| || || || 17\[[46edo|46]] || || || || 5 5 2 5 5 5 2 5 5 5 2 ||= Sensi is about here ||

|| || || || || 27\[[73edo|73]] || || || 8 8 3 8 8 8 3 8 8 8 3 || ||

|| || || || || 27\[[73edo|73]] || || || 8 8 3 8 8 8 3 8 8 8 3 ||= ||

|| || || || || || 37\[[100edo|100]] || || 11 11 4 ~~11 11 11 4 11 11 11 4~~ || ||

|| || || || || || 37\[[100edo|100]] || || 11 11 4... ||= ||

|| || || 10\[[27edo|27]] || || || || || 3 3 1 3 3 3 1 3 3 3 1 || ||

|| || || 10\[[27edo|27]] || || || || || 3 3 1 3 3 3 1 3 3 3 1 ||= ||

|| || || || || 23\[[62edo|62]] || || || 7 7 2 7 7 7 2 7 7 7 2 || ||

|| || || || || 23\[[62edo|62]] || || || 7 7 2 7 7 7 2 7 7 7 2 ||= ||

|| || || || 13\[[35edo|35]] || || || || 4 4 1 4 4 4 1 4 4 4 1 || ||

|| || || || 13\[[35edo|35]] || || || || 4 4 1 4 4 4 1 4 4 4 1 ||= ||

|| || || || || 16\[[43edo|43]] || || || 5 5 1 5 5 5 1 5 5 5 1 || ||

|| || || || || 16\[[43edo|43]] || || || 5 5 1 5 5 5 1 5 5 5 1 ||= ||

|| 3\[[8edo|8]] || || || || || || || 1 1 0 1 1 1 0 1 1 1 0 || ||</pre></div>

|| 3\[[8edo|8]] || || || || || || || 1 1 0 1 1 1 0 1 1 1 0 ||= ||</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>8L 3s</title></head><body>The only significant harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/Sensipent%20family">sensi</a>, in which the generator is 9/7 and two of them make a 5/3.

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<td>1 1 1 1 1 1 1 1 1 1 1

</td>

<td>

</td>

</tr>

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<td>4 4 3 4 4 4 3 4 4 4 3

</td>

<td>

</td>

</tr>

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<td>7 7 5 7 7 7 5 7 7 7 5

</td>

<td>

</td>

</tr>

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<td>3 3 2 3 3 3 2 3 3 3 2

</td>

<td>

<td style="text-align: center;">Optimum rank range (L/s=3/2)

</td>

</tr>

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</td>

<td>8 8 5 8 8 8 5 8 8 8 5

</td>

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>47\128

</td>

<td>

</td>

<td>13 13 8...

</td>

<td style="text-align: center;">Unnamed golden temperament

</td>

</tr>

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<td>5 5 3 5 5 5 3 5 5 5 3

</td>

<td>

</td>

</tr>

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<td>7 7 4 7 7 7 4 7 7 7 4

</td>

<td>

</td>

</tr>

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<td>9 9 5 9 9 9 5 9 9 9 5

</td>

<td>

</td>

</tr>

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</td>

<td>11 11 6 ~~11 11 11 6 11 11 11 6~~

<td>11 11 6...

</td>

<td>

</td>

</tr>

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<td>2 2 1 2 2 2 1 2 2 2 1

</td>

<td>Boundary of propriety: generators

<td style="text-align: center;">Boundary of propriety: generators

smaller than this are proper

</td>

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</td>

<td>11 11 5 ~~11 11 11 5 11 11 11 5~~

<td>11 11 5...

</td>

<td>

</td>

</tr>

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<td>9 9 4 9 9 9 4 9 9 9 4

</td>

<td>

</td>

</tr>

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<td>7 7 3 7 7 7 3 7 7 7 3

</td>

<td>

</td>

</tr>

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<td>5 5 2 5 5 5 2 5 5 5 2

</td>

<td>Sensi is about here

<td style="text-align: center;">Sensi is about here

</td>

</tr>

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<td>8 8 3 8 8 8 3 8 8 8 3

</td>

<td>

</td>

</tr>

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<td>

</td>

<td>11 11 4 ~~11 11 11 4 11 11 11 4~~

<td>11 11 4...

</td>

<td>

</td>

</tr>

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<td>3 3 1 3 3 3 1 3 3 3 1

</td>

<td>

</td>

</tr>

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<td>7 7 2 7 7 7 2 7 7 7 2

</td>

<td>

</td>

</tr>

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<td>4 4 1 4 4 4 1 4 4 4 1

</td>

<td>

</td>

</tr>

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<td>5 5 1 5 5 5 1 5 5 5 1

</td>

<td>

</td>

</tr>

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<td>1 1 0 1 1 1 0 1 1 1 0

</td>

<td>

</td>

</tr>

@@ 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-05-18 19:03:35 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2011-08-29 04:27:37 UTC</tt>.<br>
-: The original revision id was <tt>229788076</tt>.<br>
+: The original revision id was <tt>249050497</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 11: / Line 11: @@
 ||||||||||||||~ Generator ||~ Scale steps ||~ Comments ||
-|| 4\[[11edo|11]] ||   ||   ||   ||   ||   ||   || 1 1 1 1 1 1 1 1 1 1 1 ||   ||
+|| 4\[[11edo|11]] ||   ||   ||   ||   ||   ||   || 1 1 1 1 1 1 1 1 1 1 1 ||=   ||
-||   ||   ||   || 15\[[41edo|41]] ||   ||   ||   || 4 4 3 4 4 4 3 4 4 4 3 ||   ||
+||   ||   ||   || 15\[[41edo|41]] ||   ||   ||   || 4 4 3 4 4 4 3 4 4 4 3 ||=   ||
-||   ||   ||   ||   || 26\[[71edo|71]] ||   ||   || 7 7 5 7 7 7 5 7 7 7 5 ||   ||
+||   ||   ||   ||   || 26\[[71edo|71]] ||   ||   || 7 7 5 7 7 7 5 7 7 7 5 ||=   ||
-||   ||   || 11\[[30edo|30]] ||   ||   ||   ||   || 3 3 2 3 3 3 2 3 3 3 2 ||   ||
+||   ||   || 11\[[30edo|30]] ||   ||   ||   ||   || 3 3 2 3 3 3 2 3 3 3 2 ||= Optimum rank range (L/s=3/2) ||
-||   ||   ||   ||   || 29\[[79edo|79]] ||   ||   || 8 8 5 8 8 8 5 8 8 8 5 ||   ||
+||   ||   ||   ||   || 29\[[79edo|79]] ||   ||   || 8 8 5 8 8 8 5 8 8 8 5 ||=   ||
-||   ||   ||   || 18\[[49edo|49]] ||   ||   ||   || 5 5 3 5 5 5 3 5 5 5 3 ||   ||
+||   ||   ||   ||   ||   || 47\128 ||   || 13 13 8... ||= Unnamed golden temperament ||
-||   ||   ||   ||   || 25\[[68edo|68]] ||   ||   || 7 7 4 7 7 7 4 7 7 7 4 ||   ||
+||   ||   ||   || 18\[[49edo|49]] ||   ||   ||   || 5 5 3 5 5 5 3 5 5 5 3 ||=   ||
-||   ||   ||   ||   ||   || 32\[[87edo|87]] ||   || 9 9 5 9 9 9 5 9 9 9 5 ||   ||
+||   ||   ||   ||   || 25\[[68edo|68]] ||   ||   || 7 7 4 7 7 7 4 7 7 7 4 ||=   ||
-||   ||   ||   ||   ||   ||   || 39\[[106edo|106]] || 11 11 6 11 11 11 6 11 11 11 6 ||   ||
+||   ||   ||   ||   ||   || 32\[[87edo|87]] ||   || 9 9 5 9 9 9 5 9 9 9 5 ||=   ||
-||   || 7\[[19edo|19]] ||   ||   ||   ||   ||   || 2 2 1 2 2 2 1 2 2 2 1 || Boundary of propriety: generators
+||   ||   ||   ||   ||   ||   || 39\[[106edo|106]] || 11 11 6... ||=   ||
+||   || 7\[[19edo|19]] ||   ||   ||   ||   ||   || 2 2 1 2 2 2 1 2 2 2 1 ||= Boundary of propriety: generators
 smaller than this are proper ||
-||   ||   ||   ||   ||   ||   || 38\[[103edo|103]] || 11 11 5 11 11 11 5 11 11 11 5 ||   ||
+||   ||   ||   ||   ||   ||   || 38\[[103edo|103]] || 11 11 5... ||=   ||
-||   ||   ||   ||   ||   || 31\[[84edo|84]] ||   || 9 9 4 9 9 9 4 9 9 9 4 ||   ||
+||   ||   ||   ||   ||   || 31\[[84edo|84]] ||   || 9 9 4 9 9 9 4 9 9 9 4 ||=   ||
-||   ||   ||   ||   || 24\[[65edo|65]] ||   ||   || 7 7 3 7 7 7 3 7 7 7 3 ||   ||
+||   ||   ||   ||   || 24\[[65edo|65]] ||   ||   || 7 7 3 7 7 7 3 7 7 7 3 ||=   ||
-||   ||   ||   || 17\[[46edo|46]] ||   ||   ||   || 5 5 2 5 5 5 2 5 5 5 2 || Sensi is about here ||
+||   ||   ||   || 17\[[46edo|46]] ||   ||   ||   || 5 5 2 5 5 5 2 5 5 5 2 ||= Sensi is about here ||
-||   ||   ||   ||   || 27\[[73edo|73]] ||   ||   || 8 8 3 8 8 8 3 8 8 8 3 ||   ||
+||   ||   ||   ||   || 27\[[73edo|73]] ||   ||   || 8 8 3 8 8 8 3 8 8 8 3 ||=   ||
-||   ||   ||   ||   ||   || 37\[[100edo|100]] ||   || 11 11 4 11 11 11 4 11 11 11 4 ||   ||
+||   ||   ||   ||   ||   || 37\[[100edo|100]] ||   || 11 11 4... ||=   ||
-||   ||   || 10\[[27edo|27]] ||   ||   ||   ||   || 3 3 1 3 3 3 1 3 3 3 1 ||   ||
+||   ||   || 10\[[27edo|27]] ||   ||   ||   ||   || 3 3 1 3 3 3 1 3 3 3 1 ||=   ||
-||   ||   ||   ||   || 23\[[62edo|62]] ||   ||   || 7 7 2 7 7 7 2 7 7 7 2 ||   ||
+||   ||   ||   ||   || 23\[[62edo|62]] ||   ||   || 7 7 2 7 7 7 2 7 7 7 2 ||=   ||
-||   ||   ||   || 13\[[35edo|35]] ||   ||   ||   || 4 4 1 4 4 4 1 4 4 4 1 ||   ||
+||   ||   ||   || 13\[[35edo|35]] ||   ||   ||   || 4 4 1 4 4 4 1 4 4 4 1 ||=   ||
-||   ||   ||   ||   || 16\[[43edo|43]] ||   ||   || 5 5 1 5 5 5 1 5 5 5 1 ||   ||
+||   ||   ||   ||   || 16\[[43edo|43]] ||   ||   || 5 5 1 5 5 5 1 5 5 5 1 ||=   ||
-|| 3\[[8edo|8]] ||   ||   ||   ||   ||   ||   || 1 1 0 1 1 1 0 1 1 1 0 ||   ||</pre></div>
+|| 3\[[8edo|8]] ||   ||   ||   ||   ||   ||   || 1 1 0 1 1 1 0 1 1 1 0 ||=   ||</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;8L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The only significant harmonic entropy minimum with this MOS pattern is &lt;a class="wiki_link" href="/Sensipent%20family"&gt;sensi&lt;/a&gt;, in which the generator is 9/7 and two of them make a 5/3.&lt;br /&gt;
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          &lt;td&gt;4 4 3 4 4 4 3 4 4 4 3&lt;br /&gt;
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          &lt;td&gt;7 7 5 7 7 7 5 7 7 7 5&lt;br /&gt;
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          &lt;td&gt;3 3 2 3 3 3 2 3 3 3 2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Optimum rank range (L/s=3/2)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 145: / Line 146: @@
 &lt;/td&gt;
          &lt;td&gt;8 8 5 8 8 8 5 8 8 8 5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;47\128&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;13 13 8...&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Unnamed golden temperament&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
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          &lt;td&gt;5 5 3 5 5 5 3 5 5 5 3&lt;br /&gt;
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          &lt;td&gt;39\&lt;a class="wiki_link" href="/106edo"&gt;106&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11 11 6 11 11 11 6 11 11 11 6&lt;br /&gt;
+         &lt;td&gt;11 11 6...&lt;br /&gt;
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-         &lt;td&gt;&lt;br /&gt;
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          &lt;td&gt;2 2 1 2 2 2 1 2 2 2 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Boundary of propriety: generators&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Boundary of propriety: generators&lt;br /&gt;
 smaller than this are proper&lt;br /&gt;
 &lt;/td&gt;
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          &lt;td&gt;38\&lt;a class="wiki_link" href="/103edo"&gt;103&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11 11 5 11 11 11 5 11 11 11 5&lt;br /&gt;
+         &lt;td&gt;11 11 5...&lt;br /&gt;
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-         &lt;td&gt;&lt;br /&gt;
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          &lt;td&gt;9 9 4 9 9 9 4 9 9 9 4&lt;br /&gt;
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          &lt;td&gt;5 5 2 5 5 5 2 5 5 5 2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Sensi is about here&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Sensi is about here&lt;br /&gt;
 &lt;/td&gt;
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+         &lt;td&gt;11 11 4...&lt;br /&gt;
 &lt;/td&gt;
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          &lt;td&gt;3 3 1 3 3 3 1 3 3 3 1&lt;br /&gt;
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      &lt;/tr&gt;
@@ Line 407: / Line 428: @@
          &lt;td&gt;7 7 2 7 7 7 2 7 7 7 2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 427: / Line 448: @@
          &lt;td&gt;4 4 1 4 4 4 1 4 4 4 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 447: / Line 468: @@
          &lt;td&gt;5 5 1 5 5 5 1 5 5 5 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 467: / Line 488: @@
          &lt;td&gt;1 1 0 1 1 1 0 1 1 1 0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;