41edo: 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-11-01 16:08:28 UTC</tt>.

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-11-01 16:09:24 UTC</tt>.

: The original revision id was <tt>~~175449441~~</tt>.

: The original revision id was <tt>175449785</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 29:

Taking every third degree of 41edo produces a scale extremely close to [[88cET]] or 88-cent equal temperament (or the 8th root of 3:2). Likewise, taking every fifth degree produces a scale very close to the equal-tempered [[BP|Bohlen-Pierce]][[BP| Scale]] (or the 13th root of 3). See chart:

|||||| 3 degrees of 41edo (near 88cET) || overlap |||||| 5 degrees of 41edo (near BP) ||

||||||= 3 degrees of 41edo (near 88cET) ||= overlap ||||||= 5 degrees of 41edo (near BP) ||

||~ deg of 41edo ||~ deg of 88cET ||~ cents ||~ cents ||~ cents ||~ deg of BP ||~ deg of 41edo ||

||= 0 ||= 0 ||= ||= 0 ||= ||= 0 ||= 0 ||

Line 79:

||= ||= ||= ||= ||= 380.5 ||= 19 ||= 13 ||

||= 14 ||= 32 ||= 409.8 ||= ||= ||= ||= ||

|| 17 || 33 || 497.6 || || || || ||

||= 17 ||= 33 ||= 497.6 ||= ||= ||= ||= ||

|| || || || || 526.8 || 20 || 18 ||

||= ||= ||= ||= ||= 526.8 ||= 20 ||= 18 ||

|| 20 || 34 || 585.3 || || || || ||

||= 20 ||= 34 ||= 585.3 ||= ||= ||= ||= ||

|| 23 || 35 || || 673.2 || || 21 || 23 ||

||= 23 ||= 35 ||= ||= 673.2 ||= ||= 21 ||= 23 ||

|| 26 || 36 || 761.0 || || || || ||

||= 26 ||= 36 ||= 761.0 ||= ||= ||= ||= ||

|| || || || || 819.5 || 22 || 28 ||

||= ||= ||= ||= ||= 819.5 ||= 22 ||= 28 ||

|| 29 || 37 || 848.8 || || || || ||

||= 29 ||= 37 ||= 848.8 ||= ||= ||= ||= ||

|| 32 || 38 || 936.6 || || || || ||

||= 32 ||= 38 ||= 936.6 ||= ||= ||= ||= ||

|| || || || || 965.9 || 23 || 33 ||

||= ||= ||= ||= ||= 965.9 ||= 23 ||= 33 ||

|| 35 || 39 || 1024.4 || || || || ||

||= 35 ||= 39 ||= 1024.4 ||= ||= ||= ||= ||

|| 38 || 40 || || 1112.2 || || 24 || 38 ||

||= 38 ||= 40 ||= ||= 1112.2 ||= ||= 24 ||= 38 ||

Line 234:

<tr>

<td colspan="3">3 degrees of 41edo (near 88cET)

<td colspan="3" style="text-align: center;">3 degrees of 41edo (near 88cET)

</td>

<td>overlap

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

</td>

<td colspan="3">5 degrees of 41edo (near BP)

<td colspan="3" style="text-align: center;">5 degrees of 41edo (near BP)

</td>

</tr>

Line 1,002:

</tr>

<tr>

<td>17

<td style="text-align: center;">17

</td>

<td>33

<td style="text-align: center;">33

</td>

<td>497.6

<td style="text-align: center;">497.6

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>526.8

<td style="text-align: center;">526.8

</td>

<td>20

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

</td>

<td>18

<td style="text-align: center;">18

</td>

</tr>

<tr>

<td>20

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

</td>

<td>34

<td style="text-align: center;">34

</td>

<td>585.3

<td style="text-align: center;">585.3

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

</tr>

<tr>

<td>23

<td style="text-align: center;">23

</td>

<td>35

<td style="text-align: center;">35

</td>

<td>

</td>

<td>673.2

<td style="text-align: center;">673.2

</td>

<td>

</td>

<td>21

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

</td>

<td>23

<td style="text-align: center;">23

</td>

</tr>

<tr>

<td>26

<td style="text-align: center;">26

</td>

<td>36

<td style="text-align: center;">36

</td>

<td>761.0

<td style="text-align: center;">761.0

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>819.5

<td style="text-align: center;">819.5

</td>

<td>22

<td style="text-align: center;">22

</td>

<td>28

<td style="text-align: center;">28

</td>

</tr>

<tr>

<td>29

<td style="text-align: center;">29

</td>

<td>37

<td style="text-align: center;">37

</td>

<td>848.8

<td style="text-align: center;">848.8

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

</tr>

<tr>

<td>32

<td style="text-align: center;">32

</td>

<td>38

<td style="text-align: center;">38

</td>

<td>936.6

<td style="text-align: center;">936.6

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>965.9

<td style="text-align: center;">965.9

</td>

<td>23

<td style="text-align: center;">23

</td>

<td>33

<td style="text-align: center;">33

</td>

</tr>

<tr>

<td>35

<td style="text-align: center;">35

</td>

<td>39

<td style="text-align: center;">39

</td>

<td>1024.4

<td style="text-align: center;">1024.4

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

</tr>

<tr>

<td>38

<td style="text-align: center;">38

</td>

<td>40

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

</td>

<td>

</td>

<td>1112.2

<td style="text-align: center;">1112.2

</td>

<td>

</td>

<td>24

<td style="text-align: center;">24

</td>

<td>38

<td style="text-align: center;">38

</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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-11-01 16:08:28 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-11-01 16:09:24 UTC</tt>.<br>
-: The original revision id was <tt>175449441</tt>.<br>
+: The original revision id was <tt>175449785</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 29: / Line 29: @@
 Taking every third degree of 41edo produces a scale extremely close to [[88cET]] or 88-cent equal temperament (or the 8th root of 3:2). Likewise, taking every fifth degree produces a scale very close to the equal-tempered &lt;span class="wiki_link_new"&gt;[[BP|Bohlen-Pierce]]&lt;/span&gt;[[BP| Scale]] (or the 13th root of 3). See chart:
-|||||| 3 degrees of 41edo (near 88cET) || overlap |||||| 5 degrees of 41edo (near BP) ||
+||||||= 3 degrees of 41edo (near 88cET) ||= overlap ||||||= 5 degrees of 41edo (near BP) ||
 ||~ deg of 41edo ||~ deg of 88cET ||~ cents ||~ cents ||~ cents ||~ deg of BP ||~ deg of 41edo ||
 ||= 0 ||= 0 ||=   ||= 0 ||=   ||= 0 ||= 0 ||
@@ Line 79: / Line 79: @@
 ||=   ||=   ||=   ||=   ||= 380.5 ||= 19 ||= 13 ||
 ||= 14 ||= 32 ||= 409.8 ||=   ||=   ||=   ||=   ||
-|| 17 || 33 || 497.6 ||   ||   ||   ||   ||
+||= 17 ||= 33 ||= 497.6 ||=   ||=   ||=   ||=   ||
-||   ||   ||   ||   || 526.8 || 20 || 18 ||
+||=   ||=   ||=   ||=   ||= 526.8 ||= 20 ||= 18 ||
-|| 20 || 34 || 585.3 ||   ||   ||   ||   ||
+||= 20 ||= 34 ||= 585.3 ||=   ||=   ||=   ||=   ||
-|| 23 || 35 ||   || 673.2 ||   || 21 || 23 ||
+||= 23 ||= 35 ||=   ||= 673.2 ||=   ||= 21 ||= 23 ||
-|| 26 || 36 || 761.0 ||   ||   ||   ||   ||
+||= 26 ||= 36 ||= 761.0 ||=   ||=   ||=   ||=   ||
-||   ||   ||   ||   || 819.5 || 22 || 28 ||
+||=   ||=   ||=   ||=   ||= 819.5 ||= 22 ||= 28 ||
-|| 29 || 37 || 848.8 ||   ||   ||   ||   ||
+||= 29 ||= 37 ||= 848.8 ||=   ||=   ||=   ||=   ||
-|| 32 || 38 || 936.6 ||   ||   ||   ||   ||
+||= 32 ||= 38 ||= 936.6 ||=   ||=   ||=   ||=   ||
-||   ||   ||   ||   || 965.9 || 23 || 33 ||
+||=   ||=   ||=   ||=   ||= 965.9 ||= 23 ||= 33 ||
-|| 35 || 39 || 1024.4 ||   ||   ||   ||   ||
+||= 35 ||= 39 ||= 1024.4 ||=   ||=   ||=   ||=   ||
-|| 38 || 40 ||   || 1112.2 ||   || 24 || 38 ||
+||= 38 ||= 40 ||=   ||= 1112.2 ||=   ||= 24 ||= 38 ||
@@ Line 234: / Line 234: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-         &lt;td colspan="3"&gt;3 degrees of 41edo (near 88cET)&lt;br /&gt;
+         &lt;td colspan="3" style="text-align: center;"&gt;3 degrees of 41edo (near 88cET)&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;overlap&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;overlap&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td colspan="3"&gt;5 degrees of 41edo (near BP)&lt;br /&gt;
+         &lt;td colspan="3" style="text-align: center;"&gt;5 degrees of 41edo (near BP)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,002: / Line 1,002: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;17&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;17&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;33&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;33&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497.6&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;497.6&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&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;td&gt;&lt;br /&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 style="text-align: center;"&gt;&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&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;td&gt;526.8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;526.8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;20&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;18&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;18&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;20&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;34&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;34&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;585.3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;585.3&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;23&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;23&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;35&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;35&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;td&gt;673.2&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;673.2&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;td&gt;21&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;21&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;23&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;23&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;26&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;26&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;36&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;36&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;761.0&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;761.0&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&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;td&gt;&lt;br /&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 style="text-align: center;"&gt;&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&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;td&gt;819.5&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;819.5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;22&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;22&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;28&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;28&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;29&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;29&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;37&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;37&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;848.8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;848.8&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;32&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;32&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;38&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;38&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;936.6&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;936.6&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&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;td&gt;&lt;br /&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 style="text-align: center;"&gt;&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;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&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;td&gt;965.9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;965.9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;23&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;23&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;33&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;33&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;35&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;35&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;39&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;39&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1024.4&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1024.4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;38&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;38&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;40&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;40&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;td&gt;1112.2&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1112.2&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;td&gt;24&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;24&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;38&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;38&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;