16edo: 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:

: This revision was by author [[User:~~Gedankenwelt~~|~~Gedankenwelt~~]] and made on <tt>~~2015~~-08-16 11:36:23 UTC</tt>.

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-02-18 11:28:31 UTC</tt>.

: The original revision id was <tt>~~556759051~~</tt>.

: The original revision id was <tt>575175983</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.

Line 59:

*based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.

==~~Intervals~~ by ~~patent val~~ error==

==Selected just intervals by error==

|| Interval || Error ||

The following table shows how [[Just-24|some prominent just intervals]] are represented in 16-EDO (ordered by absolute error).

|| 12/11 || -0.637 ||

|| **Interval, complement** || **Error (abs., in [[cent|cents]])** ||

|| 13/10 || -4.214 ||

||= [[12_11|12/11]], [[11_6|11/6]] ||= 0.637 ||

|| 8/7 || -6.174 ||

||= [[13_10|13/10]], [[20_13|20/13]] ||= 4.214 ||

|| 13/11 || 10.790 ||

||= [[8_7|8/7]], [[7_4|7/4]] ||= 6.174 ||

|| 5/4 || -11.314 ||

||= [[13_11|13/11]], [[22_13|22/13]] ||= 10.790 ||

|| 13/12 || 11.427 ||

||= [[5_4|5/4]], [[8_5|8/5]] ||= 11.314 ||

|| 15/11 || -11.951 ||

||= [[13_12|13/12]], [[24_13|24/13]] ||= 11.427 ||

|| 11/10 || -15.004 ||

||= [[15_11|15/11]], [[22_15|22/15]] ||= 11.951 ||

|| 16/13 || 15.528 ||

||= [[9_7|9/7]], [[14_9|14/9]] ||= 14.916 ||

|| 6/5 || -15.641 ||

||= [[11_10|11/10]], [[20_11|20/11]] ||= 15.004 ||

|| 7/5 || 17.488 ||

||= [[16_13|16/13]], [[13_8|13/8]] ||= 15.528 ||

|| 14/13 || 21.702 ||

||= [[6_5|6/5]], [[5_3|5/3]] ||= 15.641 ||

|| 15/13 || -22.741 ||

||= [[7_5|7/5]], [[10_7|10/7]] ||= 17.488 ||

|| 11/8 || -26.318 ||

||= [[9_8|9/8]], [[16_9|16/9]] ||= 21.090 ||

|| 4/3 || 26.955 ||

||= [[14_13|14/13]], [[13_7|13/7]] ||= 21.702 ||

|| 11/9 || 27.592 ||

||= [[15_13|15/13]], [[26_15|26/15]] ||= 22.741 ||

|| 14/11 || 32.~~492~~ ||

||= [[11_8|11/8]], [[16_11|16/11]] ||= 26.318 ||

|| 7/6 || 33.~~129~~ ||

||= [[4_3|4/3]], [[3_2|3/2]] ||= 26.955 ||

|| 16/15 || 38.~~269~~ ||

||= [[11_9|11/9]], [[18_11|18/11]] ||= 27.592 ||

|| 18/13 || ~~-38~~.~~382~~ ||

||= [[15_14|15/14]], [[28_15|28/15]] ||= 30.557 ||

|| 10/9 || 42.~~596~~ ||

||= [[10_9|10/9]], [[9_5|9/5]] ||= 32.404 ||

|| 15~~/14~~ |~~| -44.443 ||~~

||= [[14_11|14/11]], [[11_7|11/7]] ||= 32.492 ||

~~|| 9~~/8 || ~~-53.910 ||~~

||= [[7_6|7/6]], [[12_7|12/7]] ||= 33.129 ||

~~|| 9/7 || -60~~.~~084~~ ||

||= [[18_13|18/13]], [[13_9|13/9]] ||= 36.618 ||

||= [[16_15|16/15]], [[15_8|15/8]] ||= 36.731 ||

[[media type="custom" key="24810096"]]

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<div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 1em;"><a href="#Images">Images</a></div>

<div style="margin-left: 1em;"><a href="#Intervals">Intervals</a></div>

<div style="margin-left: 2em;"><a href="#Intervals-~~Intervals~~ by ~~patent val~~ error">~~Intervals~~ by ~~patent val~~ error</a></div>

<div style="margin-left: 2em;"><a href="#Intervals-Selected just intervals by error">Selected just intervals by error</a></div>

<div style="margin-left: 1em;"><a href="#Hexadecaphonic Octave Theory">Hexadecaphonic Octave Theory</a></div>

<div style="margin-left: 1em;"><a href="#Hexadecaphonic Notation">Hexadecaphonic Notation</a></div>

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*based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.

<h2 id="toc2"><a name="Intervals-~~Intervals~~ by ~~patent val~~ error"></a>~~Intervals~~ by ~~patent val~~ error</h2>

<h2 id="toc2"><a name="Intervals-Selected just intervals by error"></a>Selected just intervals by error</h2>

The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented in 16-EDO (ordered by absolute error).

<tr>

<td>Interval

<td>Interval, complement

</td>

<td>Error

<td>Error (abs., in <a class="wiki_link" href="/cent">cents</a>)

</td>

</tr>

<tr>

<td>12/11

</td>

<td>-0.637

<td style="text-align: center;">0.637

</td>

</tr>

<tr>

<td>13/10

</td>

<td>-4.214

<td style="text-align: center;">4.214

</td>

</tr>

<tr>

<td>8/7

</td>

<td>-6.174

<td style="text-align: center;">6.174

</td>

</tr>

<tr>

<td>13/11

</td>

<td>10.790

<td style="text-align: center;">10.790

</td>

</tr>

<tr>

<td>5/4

</td>

<td>-11.314

<td style="text-align: center;">11.314

</td>

</tr>

<tr>

<td>13/12

</td>

<td>11.427

<td style="text-align: center;">11.427

</td>

</tr>

<tr>

<td>15/11

</td>

<td>-11.951

<td style="text-align: center;">11.951

</td>

</tr>

<tr>

<td>11/10

</td>

<td>~~-15~~.~~004~~

<td style="text-align: center;">14.916

</td>

</tr>

<tr>

<td>16/13

</td>

<td>15.~~528~~

<td style="text-align: center;">15.004

</td>

</tr>

<tr>

<td>6/5

</td>

<td>-15.~~641~~

<td style="text-align: center;">15.528

</td>

</tr>

<tr>

<td>7/5

</td>

<td>17.~~488~~

<td style="text-align: center;">15.641

</td>

</tr>

<tr>

<td>14/13

</td>

<td>21.~~702~~

<td style="text-align: center;">17.488

</td>

</tr>

<tr>

<td>15/13

</td>

<td>~~-22~~.~~741~~

<td style="text-align: center;">21.090

</td>

</tr>

<tr>

<td>11/8

</td>

<td>~~-26~~.~~318~~

<td style="text-align: center;">21.702

</td>

</tr>

<tr>

<td>4/3

</td>

<td>26.~~955~~

<td style="text-align: center;">22.741

</td>

</tr>

<tr>

<td>11/9

</td>

<td>27.~~592~~

<td style="text-align: center;">26.318

</td>

</tr>

<tr>

<td>14/11

</td>

<td>32.~~492~~

<td style="text-align: center;">26.955

</td>

</tr>

<tr>

<td>7/6

</td>

<td>33.~~129~~

<td style="text-align: center;">27.592

</td>

</tr>

<tr>

<td>16/15

</td>

<td>38.~~269~~

<td style="text-align: center;">30.557

</td>

</tr>

<tr>

<td>18/13

</td>

<td>~~-38~~.~~382~~

<td style="text-align: center;">32.404

</td>

</tr>

<tr>

<td>10/9

</td>

<td>42.~~596~~

<td style="text-align: center;">32.492

</td>

</tr>

<tr>

<td>15/14

</td>

<td>~~-44~~.~~443~~

<td style="text-align: center;">33.129

</td>

</tr>

<tr>

<td>9/8

</td>

<td>~~-53~~.~~910~~

<td style="text-align: center;">36.618

</td>

</tr>

<tr>

<td>9/7

</td>

<td>~~-60~~.~~084~~

<td style="text-align: center;">36.731

</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:Gedankenwelt|Gedankenwelt]] and made on <tt>2015-08-16 11:36:23 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-02-18 11:28:31 UTC</tt>.<br>
-: The original revision id was <tt>556759051</tt>.<br>
+: The original revision id was <tt>575175983</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 59: / Line 59: @@
 *based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.
-==Intervals by patent val error==
+==Selected just intervals by error==
-|| Interval || Error ||
+The following table shows how [[Just-24|some prominent just intervals]] are represented in 16-EDO (ordered by absolute error).
-|| 12/11 || -0.637 ||
+|| **Interval, complement** || **Error (abs., in [[cent|cents]])** ||
-|| 13/10 || -4.214 ||
+||= [[12_11|12/11]], [[11_6|11/6]]   ||=  0.637 ||
-|| 8/7 || -6.174 ||
+||= [[13_10|13/10]], [[20_13|20/13]] ||=  4.214 ||
-|| 13/11 || 10.790 ||
+||= [[8_7|8/7]],     [[7_4|7/4]]     ||=  6.174 ||
-|| 5/4 || -11.314 ||
+||= [[13_11|13/11]], [[22_13|22/13]] ||= 10.790 ||
-|| 13/12 || 11.427 ||
+||= [[5_4|5/4]],     [[8_5|8/5]]     ||= 11.314 ||
-|| 15/11 || -11.951 ||
+||= [[13_12|13/12]], [[24_13|24/13]] ||= 11.427 ||
-|| 11/10 || -15.004 ||
+||= [[15_11|15/11]], [[22_15|22/15]] ||= 11.951 ||
-|| 16/13 || 15.528 ||
+||= [[9_7|9/7]],     [[14_9|14/9]]   ||= 14.916 ||
-|| 6/5 || -15.641 ||
+||= [[11_10|11/10]], [[20_11|20/11]] ||= 15.004 ||
-|| 7/5 || 17.488 ||
+||= [[16_13|16/13]], [[13_8|13/8]]   ||= 15.528 ||
-|| 14/13 || 21.702 ||
+||= [[6_5|6/5]],     [[5_3|5/3]]     ||= 15.641 ||
-|| 15/13 || -22.741 ||
+||= [[7_5|7/5]],     [[10_7|10/7]]   ||= 17.488 ||
-|| 11/8 || -26.318 ||
+||= [[9_8|9/8]],     [[16_9|16/9]]   ||= 21.090 ||
-|| 4/3 || 26.955 ||
+||= [[14_13|14/13]], [[13_7|13/7]]   ||= 21.702 ||
-|| 11/9 || 27.592 ||
+||= [[15_13|15/13]], [[26_15|26/15]] ||= 22.741 ||
-|| 14/11 || 32.492 ||
+||= [[11_8|11/8]],   [[16_11|16/11]] ||= 26.318 ||
-|| 7/6 || 33.129 ||
+||= [[4_3|4/3]],     [[3_2|3/2]]     ||= 26.955 ||
-|| 16/15 || 38.269 ||
+||= [[11_9|11/9]],   [[18_11|18/11]] ||= 27.592 ||
-|| 18/13 || -38.382 ||
+||= [[15_14|15/14]], [[28_15|28/15]] ||= 30.557 ||
-|| 10/9 || 42.596 ||
+||= [[10_9|10/9]],   [[9_5|9/5]]     ||= 32.404 ||
-|| 15/14 || -44.443 ||
+||= [[14_11|14/11]], [[11_7|11/7]]   ||= 32.492 ||
-|| 9/8 || -53.910 ||
+||= [[7_6|7/6]],     [[12_7|12/7]]   ||= 33.129 ||
-|| 9/7 || -60.084 ||
+||= [[18_13|18/13]], [[13_9|13/9]]   ||= 36.618 ||
+||= [[16_15|16/15]], [[15_8|15/8]]   ||= 36.731 ||
 [[media type="custom" key="24810096"]]
@@ Line 220: / Line 221: @@
 &lt;!-- ws:start:WikiTextTocRule:27:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Images"&gt;Images&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;/div&gt;
-&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Intervals-Intervals by patent val error"&gt;Intervals by patent val error&lt;/a&gt;&lt;/div&gt;
+&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Intervals-Selected just intervals by error"&gt;Selected just intervals by error&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Hexadecaphonic Octave Theory"&gt;Hexadecaphonic Octave Theory&lt;/a&gt;&lt;/div&gt;
 &lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Hexadecaphonic Notation"&gt;Hexadecaphonic Notation&lt;/a&gt;&lt;/div&gt;
@@ Line 447: / Line 448: @@
 *based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Intervals-Intervals by patent val error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Intervals by patent val error&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Intervals-Selected just intervals by error"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Selected just intervals by error&lt;/h2&gt;
+  The following table shows how &lt;a class="wiki_link" href="/Just-24"&gt;some prominent just intervals&lt;/a&gt; are represented in 16-EDO (ordered by absolute error).&lt;br /&gt;
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td&gt;Interval&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;Interval, complement&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Error&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;Error (abs., in &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt;)&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;12/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/12_11"&gt;12/11&lt;/a&gt;, &lt;a class="wiki_link" href="/11_6"&gt;11/6&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-0.637&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;0.637&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;13/10&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_10"&gt;13/10&lt;/a&gt;, &lt;a class="wiki_link" href="/20_13"&gt;20/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-4.214&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;4.214&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;8/7&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;,     &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-6.174&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;6.174&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;13/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt;, &lt;a class="wiki_link" href="/22_13"&gt;22/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;10.790&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;10.790&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;5/4&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;,     &lt;a class="wiki_link" href="/8_5"&gt;8/5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-11.314&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;11.314&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;13/12&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_12"&gt;13/12&lt;/a&gt;, &lt;a class="wiki_link" href="/24_13"&gt;24/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11.427&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;11.427&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;15/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/15_11"&gt;15/11&lt;/a&gt;, &lt;a class="wiki_link" href="/22_15"&gt;22/15&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-11.951&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;11.951&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;11/10&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;,     &lt;a class="wiki_link" href="/14_9"&gt;14/9&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-15.004&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;14.916&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;16/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_10"&gt;11/10&lt;/a&gt;, &lt;a class="wiki_link" href="/20_11"&gt;20/11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;15.528&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;15.004&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;6/5&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_13"&gt;16/13&lt;/a&gt;, &lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-15.641&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;15.528&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;7/5&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;,     &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;17.488&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;15.641&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;14/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/7_5"&gt;7/5&lt;/a&gt;,     &lt;a class="wiki_link" href="/10_7"&gt;10/7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;21.702&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;17.488&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;15/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;,     &lt;a class="wiki_link" href="/16_9"&gt;16/9&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-22.741&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;21.090&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;11/8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/14_13"&gt;14/13&lt;/a&gt;, &lt;a class="wiki_link" href="/13_7"&gt;13/7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-26.318&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;21.702&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;4/3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/15_13"&gt;15/13&lt;/a&gt;, &lt;a class="wiki_link" href="/26_15"&gt;26/15&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;26.955&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;22.741&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;11/9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt;,   &lt;a class="wiki_link" href="/16_11"&gt;16/11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;27.592&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;26.318&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;14/11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;,     &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;32.492&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;26.955&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;7/6&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;,   &lt;a class="wiki_link" href="/18_11"&gt;18/11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;33.129&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;27.592&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;16/15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/15_14"&gt;15/14&lt;/a&gt;, &lt;a class="wiki_link" href="/28_15"&gt;28/15&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;38.269&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;30.557&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;18/13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/10_9"&gt;10/9&lt;/a&gt;,   &lt;a class="wiki_link" href="/9_5"&gt;9/5&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-38.382&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;32.404&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;10/9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/14_11"&gt;14/11&lt;/a&gt;, &lt;a class="wiki_link" href="/11_7"&gt;11/7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;42.596&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;32.492&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;15/14&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;,     &lt;a class="wiki_link" href="/12_7"&gt;12/7&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-44.443&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;33.129&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;9/8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/18_13"&gt;18/13&lt;/a&gt;, &lt;a class="wiki_link" href="/13_9"&gt;13/9&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-53.910&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;36.618&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;9/7&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_15"&gt;16/15&lt;/a&gt;, &lt;a class="wiki_link" href="/15_8"&gt;15/8&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-60.084&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;36.731&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;