35edo: 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:phylingual|phylingual]] and made on <tt>2012-06-17 08:39:14 UTC</tt>.

: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-06-17 19:02:16 UTC</tt>.

: The original revision id was <tt>~~345948592~~</tt>.

: The original revision id was <tt>346022092</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 15:

(Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.)

|| Degrees ~~|| Solfege~~ || Cents value || Ratios in 2.5.7.11.17 subgroup || Ratios with flat 3 || Ratios with sharp 3 || Ratios with patent 9 ||

|| Degrees || Cents value || Ratios in 2.5.7.11.17 subgroup || Ratios with flat 3 || Ratios with sharp 3 || Ratios with patent 9 ||

|| 0 ~~|| do~~ || 0 || **1/1** || (see comma table) || || ||

|| 0 || 0 || **1/1** || (see comma table) || || ||

|| 1 ~~|| du~~ || 34.29 || **50/49**, **121/119**, 33/32 || **36/35** || 25/24 || **81/80** ||

|| 1 || 34.29 || **50/49**, **121/119**, 33/32 || **36/35** || 25/24 || **81/80** ||

|| 2 ~~|| di~~ || 68.57 || 128/125 || **25/24** || 81/80 || ||

|| 2 || 68.57 || 128/125 || **25/24** || 81/80 || ||

|| 3 ~~|| ra~~ || 102.86 || **17/16** || **15/14** || **16/15** || **18/17** ||

|| 3 || 102.86 || **17/16** || **15/14** || **16/15** || **18/17** ||

|| 4 ~~|| ru~~ || 137.14 || || **12/11**, 16/15 || || ||

|| 4 || 137.14 || || **12/11**, 16/15 || || ||

|| 5 ~~|| ro~~ || 171.43 || **11/10** || || 12/11 || **10/9** ||

|| 5 || 171.43 || **11/10** || || 12/11 || **10/9** ||

|| 6 ~~|| re~~ || 205.71 || || || || **9/8** ||

|| 6 || 205.71 || || || || **9/8** ||

|| 7 ~~|| ri~~ || 240 || **8/7** || || 7/6 || ||

|| 7 || 240 || **8/7** || || 7/6 || ||

|| 8 ~~|| ma~~ || 274.29 || **20/17** || **7/6** || || ||

|| 8 || 274.29 || **20/17** || **7/6** || || ||

|| 9 ~~|| me~~ || 308.57 || || **6/5** || || ||

|| 9 || 308.57 || || **6/5** || || ||

|| 10 ~~|| mu~~ || 342.86 || **17/14** || || 6/5 || **11/9** ||

|| 10 || 342.86 || **17/14** || || 6/5 || **11/9** ||

|| 11 ~~|| mi~~ || 377.14 || **5/4** || || || ||

|| 11 || 377.14 || **5/4** || || || ||

|| 12 ~~|| mo~~ || 411.43 || **14/11** || || || ||

|| 12 || 411.43 || **14/11** || || || ||

|| 13 ~~|| fe~~ || 445.71 || **22/17**, 32/25 || || || **9/7** ||

|| 13 || 445.71 || **22/17**, 32/25 || || || **9/7** ||

|| 14 ~~|| fo~~ || 480 || || || 4/3 || ||

|| 14 || 480 || || || 4/3 || ||

|| 15 ~~|| fa~~ || 514.29 || || **4/3** || || ||

|| 15 || 514.29 || || **4/3** || || ||

|| 16 ~~|| fu~~ || 548.57 || **11/8** || || || ||

|| 16 || 548.57 || **11/8** || || || ||

|| 17 ~~|| fi~~ || 582.86 || **7/5** || **24/17** || 17/12 || ||

|| 17 || 582.86 || **7/5** || **24/17** || 17/12 || ||

|| 18 ~~|| se~~ || 617.14 || **10/7** || **17/12** || 24/17 || ||

|| 18 || 617.14 || **10/7** || **17/12** || 24/17 || ||

|| 19 ~~|| su~~ || 651.43 || **16/11** || || || ||

|| 19 || 651.43 || **16/11** || || || ||

|| 20 ~~|| so~~ || 685.71 || || **3/2** || || ||

|| 20 || 685.71 || || **3/2** || || ||

|| 21 ~~|| sa~~ || 720 || || || 3/2 || ||

|| 21 || 720 || || || 3/2 || ||

|| 22 ~~|| si~~ || 754.29 || **17/11**, 25/16 || || || **14/9** ||

|| 22 || 754.29 || **17/11**, 25/16 || || || **14/9** ||

|| 23 ~~|| lo~~ || 788.57 || **11/7** || || || ||

|| 23 || 788.57 || **11/7** || || || ||

|| 24 ~~|| le~~ || 822.86 || **8/5** || || || ||

|| 24 || 822.86 || **8/5** || || || ||

|| 25 ~~|| lu~~ || 857.15 || || || 5/3 || **18/11** ||

|| 25 || 857.15 || || || 5/3 || **18/11** ||

|| 26 ~~|| la~~ || 891.43 || || **5/3** || || ||

|| 26 || 891.43 || || **5/3** || || ||

|| 27 ~~|| li~~ || 925.71 || **17/10** || **12/7** || || ||

|| 27 || 925.71 || **17/10** || **12/7** || || ||

|| 28 ~~|| ta~~ || 960 || **7/4** || || || ||

|| 28 || 960 || **7/4** || || || ||

|| 29 ~~|| te~~ || 994.29 || || || || **16/9** ||

|| 29 || 994.29 || || || || **16/9** ||

|| 30 ~~|| to~~ || 1028.57 || **20/11** || || || **9/5** ||

|| 30 || 1028.57 || **20/11** || || || **9/5** ||

|| 31 ~~|| tu~~ || 1062.86 || || **11/6**, 15/8 || || ||

|| 31 || 1062.86 || || **11/6**, 15/8 || || ||

|| 32 ~~|| ti~~ || 1097.14 || **32/17** || **28/15** || **15/8** || **17/9** ||

|| 32 || 1097.14 || **32/17** || **28/15** || **15/8** || **17/9** ||

|| 33 ~~|| de~~ || 1131.43 || || || || ||

|| 33 || 1131.43 || || || || ||

|| 34 ~~|| da~~ || 1165.71 || || || || ||

|| 34 || 1165.71 || || || || ||

=Rank two temperaments=

Line 106:

<tr>

<td>Degrees

~~</td>~~

~~<td>Solfege ~~

</td>

<td>Cents value

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<tr>

<td>0

~~</td>~~

~~<td>do ~~

</td>

<td>0

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<tr>

<td>1

~~</td>~~

~~<td>du ~~

</td>

<td>34.29

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Line 148:

<tr>

<td>2

~~</td>~~

~~<td>di ~~

</td>

<td>68.57

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Line 162:

<tr>

<td>3

~~</td>~~

~~<td>ra ~~

</td>

<td>102.86

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<tr>

<td>4

~~</td>~~

~~<td>ru ~~

</td>

<td>137.14

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<tr>

<td>5

~~</td>~~

~~<td>ro ~~

</td>

<td>171.43

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Line 204:

<tr>

<td>6

~~</td>~~

~~<td>re ~~

</td>

<td>205.71

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<tr>

<td>7

~~</td>~~

~~<td>ri ~~

</td>

<td>240

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<tr>

<td>8

~~</td>~~

~~<td>ma ~~

</td>

<td>274.29

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Line 246:

<tr>

<td>9

~~</td>~~

~~<td>me ~~

</td>

<td>308.57

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Line 260:

<tr>

<td>10

~~</td>~~

~~<td>mu ~~

</td>

<td>342.86

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Line 274:

<tr>

<td>11

~~</td>~~

~~<td>mi ~~

</td>

<td>377.14

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Line 288:

<tr>

<td>12

~~</td>~~

~~<td>mo ~~

</td>

<td>411.43

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Line 302:

<tr>

<td>13

~~</td>~~

~~<td>fe ~~

</td>

<td>445.71

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Line 316:

<tr>

<td>14

~~</td>~~

~~<td>fo ~~

</td>

<td>480

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Line 330:

<tr>

<td>15

~~</td>~~

~~<td>fa ~~

</td>

<td>514.29

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Line 344:

<tr>

<td>16

~~</td>~~

~~<td>fu ~~

</td>

<td>548.57

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Line 358:

<tr>

<td>17

~~</td>~~

~~<td>fi ~~

</td>

<td>582.86

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Line 372:

<tr>

<td>18

~~</td>~~

~~<td>se ~~

</td>

<td>617.14

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Line 386:

<tr>

<td>19

~~</td>~~

~~<td>su ~~

</td>

<td>651.43

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Line 400:

<tr>

<td>20

~~</td>~~

~~<td>so ~~

</td>

<td>685.71

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Line 414:

<tr>

<td>21

~~</td>~~

~~<td>sa ~~

</td>

<td>720

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Line 428:

<tr>

<td>22

~~</td>~~

~~<td>si ~~

</td>

<td>754.29

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Line 442:

<tr>

<td>23

~~</td>~~

~~<td>lo ~~

</td>

<td>788.57

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Line 456:

<tr>

<td>24

~~</td>~~

~~<td>le ~~

</td>

<td>822.86

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Line 470:

<tr>

<td>25

~~</td>~~

~~<td>lu ~~

</td>

<td>857.15

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Line 484:

<tr>

<td>26

~~</td>~~

~~<td>la ~~

</td>

<td>891.43

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<tr>

<td>27

~~</td>~~

~~<td>li ~~

</td>

<td>925.71

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<tr>

<td>28

~~</td>~~

~~<td>ta ~~

</td>

<td>960

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<tr>

<td>29

~~</td>~~

~~<td>te ~~

</td>

<td>994.29

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<tr>

<td>30

~~</td>~~

~~<td>to ~~

</td>

<td>1028.57

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<tr>

<td>31

~~</td>~~

~~<td>tu ~~

</td>

<td>1062.86

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Line 568:

<tr>

<td>32

~~</td>~~

~~<td>ti ~~

</td>

<td>1097.14

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<tr>

<td>33

~~</td>~~

~~<td>de ~~

</td>

<td>1131.43

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<tr>

<td>34

~~</td>~~

~~<td>da ~~

</td>

<td>1165.71

@@ 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:phylingual|phylingual]] and made on <tt>2012-06-17 08:39:14 UTC</tt>.<br>
+: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-06-17 19:02:16 UTC</tt>.<br>
-: The original revision id was <tt>345948592</tt>.<br>
+: The original revision id was <tt>346022092</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 15: / Line 15: @@
 (Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.)
-|| Degrees || Solfege || Cents value || Ratios in 2.5.7.11.17 subgroup || Ratios with flat 3 || Ratios with sharp 3 || Ratios with patent 9 ||
+|| Degrees || Cents value || Ratios in 2.5.7.11.17 subgroup || Ratios with flat 3 || Ratios with sharp 3 || Ratios with patent 9 ||
-|| 0 || do || 0 || **1/1** || (see comma table) ||   ||   ||
+|| 0 || 0 || **1/1** || (see comma table) ||   ||   ||
-|| 1 || du || 34.29 || **50/49**, **121/119**, 33/32 || **36/35** || 25/24 || **81/80** ||
+|| 1 || 34.29 || **50/49**, **121/119**, 33/32 || **36/35** || 25/24 || **81/80** ||
-|| 2 || di || 68.57 || 128/125 || **25/24** || 81/80 ||   ||
+|| 2 || 68.57 || 128/125 || **25/24** || 81/80 ||   ||
-|| 3 || ra || 102.86 || **17/16** || **15/14** || **16/15** || **18/17** ||
+|| 3 || 102.86 || **17/16** || **15/14** || **16/15** || **18/17** ||
-|| 4 || ru || 137.14 ||   || **12/11**, 16/15 ||   ||   ||
+|| 4 || 137.14 ||   || **12/11**, 16/15 ||   ||   ||
-|| 5 || ro || 171.43 || **11/10** ||   || 12/11 || **10/9** ||
+|| 5 || 171.43 || **11/10** ||   || 12/11 || **10/9** ||
-|| 6 || re || 205.71 ||   ||   ||   || **9/8** ||
+|| 6 || 205.71 ||   ||   ||   || **9/8** ||
-|| 7 || ri || 240 || **8/7** ||   || 7/6 ||   ||
+|| 7 || 240 || **8/7** ||   || 7/6 ||   ||
-|| 8 || ma || 274.29 || **20/17** || **7/6** ||   ||   ||
+|| 8 || 274.29 || **20/17** || **7/6** ||   ||   ||
-|| 9 || me || 308.57 ||   || **6/5** ||   ||   ||
+|| 9 || 308.57 ||   || **6/5** ||   ||   ||
-|| 10 || mu || 342.86 || **17/14** ||   || 6/5 || **11/9** ||
+|| 10 || 342.86 || **17/14** ||   || 6/5 || **11/9** ||
-|| 11 || mi || 377.14 || **5/4** ||   ||   ||   ||
+|| 11 || 377.14 || **5/4** ||   ||   ||   ||
-|| 12 || mo || 411.43 || **14/11** ||   ||   ||   ||
+|| 12 || 411.43 || **14/11** ||   ||   ||   ||
-|| 13 || fe || 445.71 || **22/17**, 32/25 ||   ||   || **9/7** ||
+|| 13 || 445.71 || **22/17**, 32/25 ||   ||   || **9/7** ||
-|| 14 || fo || 480 ||   ||   || 4/3 ||   ||
+|| 14 || 480 ||   ||   || 4/3 ||   ||
-|| 15 || fa || 514.29 ||   || **4/3** ||   ||   ||
+|| 15 || 514.29 ||   || **4/3** ||   ||   ||
-|| 16 || fu || 548.57 || **11/8** ||   ||   ||   ||
+|| 16 || 548.57 || **11/8** ||   ||   ||   ||
-|| 17 || fi || 582.86 || **7/5** || **24/17** || 17/12 ||   ||
+|| 17 || 582.86 || **7/5** || **24/17** || 17/12 ||   ||
-|| 18 || se || 617.14 || **10/7** || **17/12** || 24/17 ||   ||
+|| 18 || 617.14 || **10/7** || **17/12** || 24/17 ||   ||
-|| 19 || su || 651.43 || **16/11** ||   ||   ||   ||
+|| 19 || 651.43 || **16/11** ||   ||   ||   ||
-|| 20 || so || 685.71 ||   || **3/2** ||   ||   ||
+|| 20 || 685.71 ||   || **3/2** ||   ||   ||
-|| 21 || sa || 720 ||   ||   || 3/2 ||   ||
+|| 21 || 720 ||   ||   || 3/2 ||   ||
-|| 22 || si || 754.29 || **17/11**, 25/16 ||   ||   || **14/9** ||
+|| 22 || 754.29 || **17/11**, 25/16 ||   ||   || **14/9** ||
-|| 23 || lo || 788.57 || **11/7** ||   ||   ||   ||
+|| 23 || 788.57 || **11/7** ||   ||   ||   ||
-|| 24 || le || 822.86 || **8/5** ||   ||   ||   ||
+|| 24 || 822.86 || **8/5** ||   ||   ||   ||
-|| 25 || lu || 857.15 ||   ||   || 5/3 || **18/11** ||
+|| 25 || 857.15 ||   ||   || 5/3 || **18/11** ||
-|| 26 || la || 891.43 ||   || **5/3** ||   ||   ||
+|| 26 || 891.43 ||   || **5/3** ||   ||   ||
-|| 27 || li || 925.71 || **17/10** || **12/7** ||   ||   ||
+|| 27 || 925.71 || **17/10** || **12/7** ||   ||   ||
-|| 28 || ta || 960 || **7/4** ||   ||   ||   ||
+|| 28 || 960 || **7/4** ||   ||   ||   ||
-|| 29 || te || 994.29 ||   ||   ||   || **16/9** ||
+|| 29 || 994.29 ||   ||   ||   || **16/9** ||
-|| 30 || to || 1028.57 || **20/11** ||   ||   || **9/5** ||
+|| 30 || 1028.57 || **20/11** ||   ||   || **9/5** ||
-|| 31 || tu || 1062.86 ||   || **11/6**, 15/8 ||   ||   ||
+|| 31 || 1062.86 ||   || **11/6**, 15/8 ||   ||   ||
-|| 32 || ti || 1097.14 || **32/17** || **28/15** || **15/8** || **17/9** ||
+|| 32 || 1097.14 || **32/17** || **28/15** || **15/8** || **17/9** ||
-|| 33 || de || 1131.43 ||   ||   ||   ||   ||
+|| 33 || 1131.43 ||   ||   ||   ||   ||
-|| 34 || da || 1165.71 ||   ||   ||   ||   ||
+|| 34 || 1165.71 ||   ||   ||   ||   ||
 =Rank two temperaments=
@@ Line 106: / Line 106: @@
      &lt;tr&gt;
          &lt;td&gt;Degrees&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Solfege&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;Cents value&lt;br /&gt;
@@ Line 122: / Line 120: @@
      &lt;tr&gt;
          &lt;td&gt;0&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;do&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;0&lt;br /&gt;
@@ Line 138: / Line 134: @@
      &lt;tr&gt;
          &lt;td&gt;1&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;du&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;34.29&lt;br /&gt;
@@ Line 154: / Line 148: @@
      &lt;tr&gt;
          &lt;td&gt;2&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;di&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;68.57&lt;br /&gt;
@@ Line 170: / Line 162: @@
      &lt;tr&gt;
          &lt;td&gt;3&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;ra&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;102.86&lt;br /&gt;
@@ Line 186: / Line 176: @@
      &lt;tr&gt;
          &lt;td&gt;4&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;ru&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;137.14&lt;br /&gt;
@@ Line 202: / Line 190: @@
      &lt;tr&gt;
          &lt;td&gt;5&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;ro&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;171.43&lt;br /&gt;
@@ Line 218: / Line 204: @@
      &lt;tr&gt;
          &lt;td&gt;6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;re&lt;br /&gt;
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          &lt;td&gt;205.71&lt;br /&gt;
@@ Line 234: / Line 218: @@
      &lt;tr&gt;
          &lt;td&gt;7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;ri&lt;br /&gt;
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          &lt;td&gt;240&lt;br /&gt;
@@ Line 250: / Line 232: @@
      &lt;tr&gt;
          &lt;td&gt;8&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;ma&lt;br /&gt;
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          &lt;td&gt;274.29&lt;br /&gt;
@@ Line 266: / Line 246: @@
      &lt;tr&gt;
          &lt;td&gt;9&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;me&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;308.57&lt;br /&gt;
@@ Line 282: / Line 260: @@
      &lt;tr&gt;
          &lt;td&gt;10&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;mu&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;342.86&lt;br /&gt;
@@ Line 298: / Line 274: @@
      &lt;tr&gt;
          &lt;td&gt;11&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;mi&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;377.14&lt;br /&gt;
@@ Line 314: / Line 288: @@
      &lt;tr&gt;
          &lt;td&gt;12&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;mo&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;411.43&lt;br /&gt;
@@ Line 330: / Line 302: @@
      &lt;tr&gt;
          &lt;td&gt;13&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;fe&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;445.71&lt;br /&gt;
@@ Line 346: / Line 316: @@
      &lt;tr&gt;
          &lt;td&gt;14&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;fo&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;480&lt;br /&gt;
@@ Line 362: / Line 330: @@
      &lt;tr&gt;
          &lt;td&gt;15&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;fa&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;514.29&lt;br /&gt;
@@ Line 378: / Line 344: @@
      &lt;tr&gt;
          &lt;td&gt;16&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;fu&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;548.57&lt;br /&gt;
@@ Line 394: / Line 358: @@
      &lt;tr&gt;
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@@ Line 442: / Line 400: @@
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          &lt;td&gt;29&lt;br /&gt;
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