27edo: 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:~~hstraub~~|~~hstraub~~]] and made on <tt>2011-06-~~28 03~~:01:12 UTC</tt>.

: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2011-07-25 13:25:14 UTC</tt>.

: The original revision id was <tt>~~239087289~~</tt>.

: The original revision id was <tt>242758149</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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27edo, with its 400 cent major third, tempers out the [[diesis]] of 128/125, and also the [[septimal comma]], 64/63 (and hence 126/125 also.) These it shares with 12edo, making some relationships familiar, and as a consequence they both support augene temperament. It shares with [[22edo]] tempering out the allegedly Bohlen-Pierce comma 245/243 as well as 64/63, so that they both support superpyth temperament, with quite sharp "superpythagorean" fifths giving a sharp 9/7 in place of meantone's 5/4.

Though the [[7-limit]] tuning of 27edo is not highly accurate, it nonetheless is the smallest equal division to represent the 7 odd limit both [[consistent]]ly and distinctly--that is, everything in the 7-limit [[Diamonds|diamond]] is uniquely represented by a certain number of steps of 27 equal.

Though the [[7-limit]] tuning of 27edo is not highly accurate, it nonetheless is the smallest equal division to represent the 7 odd limit both [[consistent]]ly and distinctly--that is, everything in the 7-limit [[Diamonds|diamond]] is uniquely represented by a certain number of steps of 27 equal. It also represents the 13th harmonic very well, and performs quite decently as a 2.3.5.7.13 temperament

==Intervals==

|| Degrees of 27-EDO || Cents value ||

|| Degrees of 27-EDO || Cents value ||= Approximate

|| 0 || 0 ||

Ratios* ||

|| 1 || 44,44 ||

|| 0 || 0 ||= 1/1 ||

|| 2 || 88,89 ||

|| 1 || 44.44 ||= 36/35, 49/48, 50/49 ||

|| 3 || 133,33 ||

|| 2 || 88.89 ||= 21/20 ||

|| 4 || 177,78 ||

|| 3 || 133.33 ||= 14/13, 13/12 ||

|| 5 || 222,22 ||

|| 4 || 177.78 ||= 10/9 ||

|| 6 || 266,67 ||

|| 5 || 222.22 ||= 8/7, 9/8 ||

|| 7 || 311,11 ||

|| 6 || 266.67 ||= 7/6 ||

|| 8 || 355,56 ||

|| 7 || 311.11 ||= 6/5 ||

|| 9 || 400 ||

|| 8 || 355.56 ||= 16/13 ||

|| 10 || 444,44 ||

|| 9 || 400 ||= 5/4 ||

|| 11 || 488,89 ||

|| 10 || 444.44 ||= 9/7, 13/10 ||

|| 12 || 533,33 ||

|| 11 || 488.89 ||= 4/3 ||

|| 13 || 577,78 ||

|| 12 || 533.33 ||= 49/36, 48/35 ||

|| 14 || 622,22 ||

|| 13 || 577.78 ||= 7/5 ||

|| 15 || 666,67 ||

|| 14 || 622.22 ||= 10/7 ||

|| 16 || 711,11 ||

|| 15 || 666.67 ||= 72/49, 35/24 ||

|| 17 || 755,56 ||

|| 16 || 711.11 ||= 3/2 ||

|| 18 || 800 ||

|| 17 || 755.56 ||= 14/9 ||

|| 19 || 844,44 ||

|| 18 || 800 ||= 8/5 ||

|| 20 || 888,89 ||

|| 19 || 844.44 ||= 13/8 ||

|| 21 || 933,33 ||

|| 20 || 888.89 ||= 5/3 ||

|| 22 || 977,78 ||

|| 21 || 933.33 ||= 12/7 ||

|| 23 || 1022,22 ||

|| 22 || 977.78 ||= 7/4 ||

|| 24 || 1066,67 ||

|| 23 || 1022.22 ||= 9/5, 16/9 ||

|| 25 || 1111,11 ||

|| 24 || 1066,67 ||= 13/7, 24/13 ||

|| 26 || 1155,56 ||

|| 25 || 1111.11 ||= 40/21 ||

|| 26 || 1155.56 ||= 35/18, 96/49, 49/25 ||

|| 27 || 1200 ||= 2/1 ||

==Commas==

27 EDO tempers out the following commas. (Note: This assumes the val < 27 43 63 76 93 100 |.)

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27edo, with its 400 cent major third, tempers out the <a class="wiki_link" href="/diesis">diesis</a> of 128/125, and also the <a class="wiki_link" href="/septimal%20comma">septimal comma</a>, 64/63 (and hence 126/125 also.) These it shares with 12edo, making some relationships familiar, and as a consequence they both support augene temperament. It shares with <a class="wiki_link" href="/22edo">22edo</a> tempering out the allegedly Bohlen-Pierce comma 245/243 as well as 64/63, so that they both support superpyth temperament, with quite sharp &quot;superpythagorean&quot; fifths giving a sharp 9/7 in place of meantone's 5/4.

Though the <a class="wiki_link" href="/7-limit">7-limit</a> tuning of 27edo is not highly accurate, it nonetheless is the smallest equal division to represent the 7 odd limit both <a class="wiki_link" href="/consistent">consistent</a>ly and distinctly--that is, everything in the 7-limit <a class="wiki_link" href="/Diamonds">diamond</a> is uniquely represented by a certain number of steps of 27 equal.

Though the <a class="wiki_link" href="/7-limit">7-limit</a> tuning of 27edo is not highly accurate, it nonetheless is the smallest equal division to represent the 7 odd limit both <a class="wiki_link" href="/consistent">consistent</a>ly and distinctly--that is, everything in the 7-limit <a class="wiki_link" href="/Diamonds">diamond</a> is uniquely represented by a certain number of steps of 27 equal. It also represents the 13th harmonic very well, and performs quite decently as a 2.3.5.7.13 temperament

<h2 id="toc1"><a name="x27 tone equal tempertament-Intervals"></a>Intervals</h2>

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</td>

<td>Cents value

</td>

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

Ratios*

</td>

</tr>

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Line 100:

</td>

<td>0

</td>

<td style="text-align: center;">1/1

</td>

</tr>

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<td>1

</td>

<td>44,44

<td>44.44

</td>

<td style="text-align: center;">36/35, 49/48, 50/49

</td>

</tr>

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<td>2

</td>

<td>88,89

<td>88.89

</td>

<td style="text-align: center;">21/20

</td>

</tr>

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<td>3

</td>

<td>133,33

<td>133.33

</td>

<td style="text-align: center;">14/13, 13/12

</td>

</tr>

Line 118:

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<td>4

</td>

<td>177,78

<td>177.78

</td>

<td style="text-align: center;">10/9

</td>

</tr>

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Line 139:

<td>5

</td>

<td>222,22

<td>222.22

</td>

<td style="text-align: center;">8/7, 9/8

</td>

</tr>

Line 130:

Line 147:

<td>6

</td>

<td>266,67

<td>266.67

</td>

<td style="text-align: center;">7/6

</td>

</tr>

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Line 155:

<td>7

</td>

<td>311,11

<td>311.11

</td>

<td style="text-align: center;">6/5

</td>

</tr>

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Line 163:

<td>8

</td>

<td>355,56

<td>355.56

</td>

<td style="text-align: center;">16/13

</td>

</tr>

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Line 172:

</td>

<td>400

</td>

<td style="text-align: center;">5/4

</td>

</tr>

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<td>10

</td>

<td>444,44

<td>444.44

</td>

<td style="text-align: center;">9/7, 13/10

</td>

</tr>

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<td>11

</td>

<td>488,89

<td>488.89

</td>

<td style="text-align: center;">4/3

</td>

</tr>

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<td>12

</td>

<td>533,33

<td>533.33

</td>

<td style="text-align: center;">49/36, 48/35

</td>

</tr>

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<td>13

</td>

<td>577,78

<td>577.78

</td>

<td style="text-align: center;">7/5

</td>

</tr>

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Line 211:

<td>14

</td>

<td>622,22

<td>622.22

</td>

<td style="text-align: center;">10/7

</td>

</tr>

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<td>15

</td>

<td>666,67

<td>666.67

</td>

<td style="text-align: center;">72/49, 35/24

</td>

</tr>

Line 190:

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<td>16

</td>

<td>711,11

<td>711.11

</td>

<td style="text-align: center;">3/2

</td>

</tr>

Line 196:

Line 235:

<td>17

</td>

<td>755,56

<td>755.56

</td>

<td style="text-align: center;">14/9

</td>

</tr>

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</td>

<td>800

</td>

<td style="text-align: center;">8/5

</td>

</tr>

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<td>19

</td>

<td>844,44

<td>844.44

</td>

<td style="text-align: center;">13/8

</td>

</tr>

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<td>20

</td>

<td>888,89

<td>888.89

</td>

<td style="text-align: center;">5/3

</td>

</tr>

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<td>21

</td>

<td>933,33

<td>933.33

</td>

<td style="text-align: center;">12/7

</td>

</tr>

Line 226:

Line 275:

<td>22

</td>

<td>977,78

<td>977.78

</td>

<td style="text-align: center;">7/4

</td>

</tr>

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<td>23

</td>

<td>1022,22

<td>1022.22

</td>

<td style="text-align: center;">9/5, 16/9

</td>

</tr>

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</td>

<td>1066,67

</td>

<td style="text-align: center;">13/7, 24/13

</td>

</tr>

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<td>25

</td>

<td>1111,11

<td>1111.11

</td>

<td style="text-align: center;">40/21

</td>

</tr>

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<td>26

</td>

<td>1155,56

<td>1155.56

</td>

<td style="text-align: center;">35/18, 96/49, 49/25

</td>

</tr>

<tr>

<td>27

</td>

<td>1200

</td>

<td style="text-align: center;">2/1

</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:hstraub|hstraub]] and made on <tt>2011-06-28 03:01:12 UTC</tt>.<br>
+: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2011-07-25 13:25:14 UTC</tt>.<br>
-: The original revision id was <tt>239087289</tt>.<br>
+: The original revision id was <tt>242758149</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 14: / Line 14: @@
 edo, with its 400 cent major third, tempers out the [[diesis]] of 128/125, and also the [[septimal comma]], 64/63 (and hence 126/125 also.) These it shares with 12edo, making some relationships familiar, and as a consequence they both support augene temperament. It shares with [[22edo]] tempering out the allegedly Bohlen-Pierce comma 245/243 as well as 64/63, so that they both support superpyth temperament, with quite sharp "superpythagorean" fifths giving a sharp 9/7 in place of meantone's 5/4.
-Though the [[7-limit]] tuning of 27edo is not highly accurate, it nonetheless is the smallest equal division to represent the 7 odd limit both [[consistent]]ly and distinctly--that is, everything in the 7-limit [[Diamonds|diamond]] is uniquely represented by a certain number of steps of 27 equal.
+Though the [[7-limit]] tuning of 27edo is not highly accurate, it nonetheless is the smallest equal division to represent the 7 odd limit both [[consistent]]ly and distinctly--that is, everything in the 7-limit [[Diamonds|diamond]] is uniquely represented by a certain number of steps of 27 equal. It also represents the 13th harmonic very well, and performs quite decently as a 2.3.5.7.13 temperament
 ==Intervals==
-|| Degrees of 27-EDO || Cents value ||
+|| Degrees of 27-EDO || Cents value ||= Approximate
-|| 0 || 0 ||
+Ratios* ||
-|| 1 || 44,44 ||
+|| 0 || 0 ||= 1/1 ||
-|| 2 || 88,89 ||
+|| 1 || 44.44 ||= 36/35, 49/48, 50/49 ||
-|| 3 || 133,33 ||
+|| 2 || 88.89 ||= 21/20 ||
-|| 4 || 177,78 ||
+|| 3 || 133.33 ||= 14/13, 13/12 ||
-|| 5 || 222,22 ||
+|| 4 || 177.78 ||= 10/9 ||
-|| 6 || 266,67 ||
+|| 5 || 222.22 ||= 8/7, 9/8 ||
-|| 7 || 311,11 ||
+|| 6 || 266.67 ||= 7/6 ||
-|| 8 || 355,56 ||
+|| 7 || 311.11 ||= 6/5 ||
-|| 9 || 400 ||
+|| 8 || 355.56 ||= 16/13 ||
-|| 10 || 444,44 ||
+|| 9 || 400 ||= 5/4 ||
-|| 11 || 488,89 ||
+|| 10 || 444.44 ||= 9/7, 13/10 ||
-|| 12 || 533,33 ||
+|| 11 || 488.89 ||= 4/3 ||
-|| 13 || 577,78 ||
+|| 12 || 533.33 ||= 49/36, 48/35 ||
-|| 14 || 622,22 ||
+|| 13 || 577.78 ||= 7/5 ||
-|| 15 || 666,67 ||
+|| 14 || 622.22 ||= 10/7 ||
-|| 16 || 711,11 ||
+|| 15 || 666.67 ||= 72/49, 35/24 ||
-|| 17 || 755,56 ||
+|| 16 || 711.11 ||= 3/2 ||
-|| 18 || 800 ||
+|| 17 || 755.56 ||= 14/9 ||
-|| 19 || 844,44 ||
+|| 18 || 800 ||= 8/5 ||
-|| 20 || 888,89 ||
+|| 19 || 844.44 ||= 13/8 ||
-|| 21 || 933,33 ||
+|| 20 || 888.89 ||= 5/3 ||
-|| 22 || 977,78 ||
+|| 21 || 933.33 ||= 12/7 ||
-|| 23 || 1022,22 ||
+|| 22 || 977.78 ||= 7/4 ||
-|| 24 || 1066,67 ||
+|| 23 || 1022.22 ||= 9/5, 16/9 ||
-|| 25 || 1111,11 ||
+|| 24 || 1066,67 ||= 13/7, 24/13 ||
-|| 26 || 1155,56 ||
+|| 25 || 1111.11 ||= 40/21 ||
+|| 26 || 1155.56 ||= 35/18, 96/49, 49/25 ||
+|| 27 || 1200 ||= 2/1 ||
 ==Commas==
 EDO tempers out the following commas. (Note: This assumes the val &lt; 27 43 63 76 93 100 |.)
@@ Line 79: / Line 81: @@
 edo, with its 400 cent major third, tempers out the &lt;a class="wiki_link" href="/diesis"&gt;diesis&lt;/a&gt; of 128/125, and also the &lt;a class="wiki_link" href="/septimal%20comma"&gt;septimal comma&lt;/a&gt;, 64/63 (and hence 126/125 also.) These it shares with 12edo, making some relationships familiar, and as a consequence they both support augene temperament. It shares with &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; tempering out the allegedly Bohlen-Pierce comma 245/243 as well as 64/63, so that they both support superpyth temperament, with quite sharp &amp;quot;superpythagorean&amp;quot; fifths giving a sharp 9/7 in place of meantone's 5/4.&lt;br /&gt;
 &lt;br /&gt;
-Though the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; tuning of 27edo is not highly accurate, it nonetheless is the smallest equal division to represent the 7 odd limit both &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt;ly and distinctly--that is, everything in the 7-limit &lt;a class="wiki_link" href="/Diamonds"&gt;diamond&lt;/a&gt; is uniquely represented by a certain number of steps of 27 equal.&lt;br /&gt;
+Though the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; tuning of 27edo is not highly accurate, it nonetheless is the smallest equal division to represent the 7 odd limit both &lt;a class="wiki_link" href="/consistent"&gt;consistent&lt;/a&gt;ly and distinctly--that is, everything in the 7-limit &lt;a class="wiki_link" href="/Diamonds"&gt;diamond&lt;/a&gt; is uniquely represented by a certain number of steps of 27 equal. It also represents the 13th harmonic very well, and performs quite decently as a 2.3.5.7.13 temperament&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x27 tone equal tempertament-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h2&gt;
@@ Line 89: / Line 91: @@
 &lt;/td&gt;
          &lt;td&gt;Cents value&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
+Ratios*&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 95: / Line 100: @@
 &lt;/td&gt;
          &lt;td&gt;0&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 100: / Line 107: @@
          &lt;td&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;44,44&lt;br /&gt;
+         &lt;td&gt;44.44&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;36/35, 49/48, 50/49&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 106: / Line 115: @@
          &lt;td&gt;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;88,89&lt;br /&gt;
+         &lt;td&gt;88.89&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;21/20&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 112: / Line 123: @@
          &lt;td&gt;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;133,33&lt;br /&gt;
+         &lt;td&gt;133.33&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;14/13, 13/12&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 118: / Line 131: @@
          &lt;td&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;177,78&lt;br /&gt;
+         &lt;td&gt;177.78&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;10/9&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 124: / Line 139: @@
          &lt;td&gt;5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;222,22&lt;br /&gt;
+         &lt;td&gt;222.22&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;8/7, 9/8&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 130: / Line 147: @@
          &lt;td&gt;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;266,67&lt;br /&gt;
+         &lt;td&gt;266.67&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;7/6&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 136: / Line 155: @@
          &lt;td&gt;7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;311,11&lt;br /&gt;
+         &lt;td&gt;311.11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;6/5&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 142: / Line 163: @@
          &lt;td&gt;8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;355,56&lt;br /&gt;
+         &lt;td&gt;355.56&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;16/13&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 149: / Line 172: @@
 &lt;/td&gt;
          &lt;td&gt;400&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;5/4&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 154: / Line 179: @@
          &lt;td&gt;10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;444,44&lt;br /&gt;
+         &lt;td&gt;444.44&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;9/7, 13/10&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 160: / Line 187: @@
          &lt;td&gt;11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;488,89&lt;br /&gt;
+         &lt;td&gt;488.89&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;4/3&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 166: / Line 195: @@
          &lt;td&gt;12&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;533,33&lt;br /&gt;
+         &lt;td&gt;533.33&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;49/36, 48/35&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 172: / Line 203: @@
          &lt;td&gt;13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;577,78&lt;br /&gt;
+         &lt;td&gt;577.78&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;7/5&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 178: / Line 211: @@
          &lt;td&gt;14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;622,22&lt;br /&gt;
+         &lt;td&gt;622.22&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;10/7&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 184: / Line 219: @@
          &lt;td&gt;15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;666,67&lt;br /&gt;
+         &lt;td&gt;666.67&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;72/49, 35/24&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 190: / Line 227: @@
          &lt;td&gt;16&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;711,11&lt;br /&gt;
+         &lt;td&gt;711.11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;3/2&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 196: / Line 235: @@
          &lt;td&gt;17&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;755,56&lt;br /&gt;
+         &lt;td&gt;755.56&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;14/9&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 203: / Line 244: @@
 &lt;/td&gt;
          &lt;td&gt;800&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;8/5&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 208: / Line 251: @@
          &lt;td&gt;19&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;844,44&lt;br /&gt;
+         &lt;td&gt;844.44&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;13/8&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 214: / Line 259: @@
          &lt;td&gt;20&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;888,89&lt;br /&gt;
+         &lt;td&gt;888.89&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;5/3&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 220: / Line 267: @@
          &lt;td&gt;21&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;933,33&lt;br /&gt;
+         &lt;td&gt;933.33&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;12/7&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 226: / Line 275: @@
          &lt;td&gt;22&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;977,78&lt;br /&gt;
+         &lt;td&gt;977.78&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 232: / Line 283: @@
          &lt;td&gt;23&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1022,22&lt;br /&gt;
+         &lt;td&gt;1022.22&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;9/5, 16/9&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 239: / Line 292: @@
 &lt;/td&gt;
          &lt;td&gt;1066,67&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;13/7, 24/13&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 244: / Line 299: @@
          &lt;td&gt;25&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1111,11&lt;br /&gt;
+         &lt;td&gt;1111.11&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;40/21&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 250: / Line 307: @@
          &lt;td&gt;26&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1155,56&lt;br /&gt;
+         &lt;td&gt;1155.56&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;35/18, 96/49, 49/25&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;27&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1200&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;