27edo: Difference between revisions

Wikispaces>xenwolf
**Imported revision 490166434 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 545598290 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2014-02-18 04:01:37 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-27 15:17:58 UTC</tt>.<br>
: The original revision id was <tt>490166434</tt>.<br>
: The original revision id was <tt>545598290</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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==Intervals==  
==Intervals==  
|| Degrees of 27-EDO || Cents value ||= Approximate
|| Degrees of 27-EDO || Cents value
DMS value ||= Approximate
Ratios* ||= Solfege ||
Ratios* ||= Solfege ||
|| 0 || 0 ||= 1/1 ||= do ||
|| 0 || 0 ||= 1/1 ||= do ||
|| 1 || 44.44 ||= 36/35, 49/48, 50/49 ||= di ||
|| 1 || 44.44
|| 2 || 88.89 ||= 16/15, 21/20, 25/24 ||= ra ||
13°20' ||= 36/35, 49/48, 50/49 ||= di ||
|| 3 || 133.33 ||= 14/13, 13/12 ||= ru ||
|| 2 || 88.89
|| 4 || 177.78 ||= 10/9 ||= reh ||
26°40' ||= 16/15, 21/20, 25/24 ||= ra ||
|| 5 || 222.22 ||= 8/7, 9/8 ||= re ||
|| 3 || 133.33
|| 6 || 266.67 ||= 7/6 ||= ma ||
40° ||= 14/13, 13/12 ||= ru ||
|| 7 || 311.11 ||= 6/5 ||= me ||
|| 4 || 177.78
|| 8 || 355.56 ||= 16/13 ||= mu ||
53°20' ||= 10/9 ||= reh ||
|| 9 || 400 ||= 5/4 ||= mi ||
|| 5 || 222.22
|| 10 || 444.44 ||= 9/7, 13/10 ||= mo ||
66°40' ||= 8/7, 9/8 ||= re ||
|| 11 || 488.89 ||= 4/3 ||= fa ||
|| 6 || 266.67
|| 12 || 533.33 ||= 49/36, 48/35 ||= fih ||
80° ||= 7/6 ||= ma ||
|| 13 || 577.78 ||= 7/5, 18/13 ||= fi ||
|| 7 || 311.11
|| 14 || 622.22 ||= 10/7, 13/9 ||= se ||
93°20' ||= 6/5 ||= me ||
|| 15 || 666.67 ||= 72/49, 35/24 ||= sih ||
|| 8 || 355.56
|| 16 || 711.11 ||= 3/2 ||= so/sol ||
106°40' ||= 16/13 ||= mu ||
|| 17 || 755.56 ||= 14/9, 20/13 ||= lo ||
|| 9 || 400
|| 18 || 800 ||= 8/5 ||= le ||
120° ||= 5/4 ||= mi ||
|| 19 || 844.44 ||= 13/8 ||= lu ||
|| 10 || 444.44
|| 20 || 888.89 ||= 5/3 ||= la ||
133°20' ||= 9/7, 13/10 ||= mo ||
|| 21 || 933.33 ||= 12/7 ||= li ||
|| 11 || 488.89
|| 22 || 977.78 ||= 7/4, 16/9 ||= ta ||
146°40' ||= 4/3 ||= fa ||
|| 23 || 1022.22 ||= 9/5 ||= te ||
|| 12 || 533.33
|| 24 || 1066,67 ||= 13/7, 24/13 ||= tu ||
160° ||= 49/36, 48/35 ||= fih ||
|| 25 || 1111.11 ||= 40/21 ||= ti ||
|| 13 || 577.78
|| 26 || 1155.56 ||= 35/18, 96/49, 49/25 ||= da ||
173°20' ||= 7/5, 18/13 ||= fi ||
|| 27 || 1200 ||= 2/1 ||= do ||
|| 14 || 622.22
186°40' ||= 10/7, 13/9 ||= se ||
|| 15 || 666.67
200° ||= 72/49, 35/24 ||= sih ||
|| 16 || 711.11
213°20' ||= 3/2 ||= so/sol ||
|| 17 || 755.56
226°40' ||= 14/9, 20/13 ||= lo ||
|| 18 || 800
240° ||= 8/5 ||= le ||
|| 19 || 844.44
253°20' ||= 13/8 ||= lu ||
|| 20 || 888.89
266°40' ||= 5/3 ||= la ||
|| 21 || 933.33
280° ||= 12/7 ||= li ||
|| 22 || 977.78
293°20' ||= 7/4, 16/9 ||= ta ||
|| 23 || 1022.22
306°40' ||= 9/5 ||= te ||
|| 24 || 1066,67
320° ||= 13/7, 24/13 ||= tu ||
|| 25 || 1111.11
333°20' ||= 40/21 ||= ti ||
|| 26 || 1155.56
346°40' ||= 35/18, 96/49, 49/25 ||= da ||
|| 27 || 1200
360° ||= 2/1 ||= do ||
*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.
*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.
==Rank two temperaments==  
==Rank two temperaments==  
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=Music=  
=Music=  


[[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]]////&lt;/span&gt; by [[Gene Ward Smith]] The central portion is in 27edo, the rest in [[46edo]].
[[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] &lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]]&lt;/span&gt; by [[Gene Ward Smith]] The central portion is in 27edo, the rest in [[46edo]].
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Sad%20Like%20Winter%20Leaves.mp3|Sad Like Winter Leaves]]////&lt;/span&gt; by Igliashon Jones
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Sad%20Like%20Winter%20Leaves.mp3|Sad Like Winter Leaves]]&lt;/span&gt; by Igliashon Jones
//[[file:Superpythagorean Waltz.mp3|Superpythagorean Waltz]]// by Igliashon Jones
//[[file:Superpythagorean Waltz.mp3|Superpythagorean Waltz]]// by Igliashon Jones
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3|Galticeran Sonatina]]////&lt;/span&gt; by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Taylor]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3|Galticeran Sonatina]]&lt;/span&gt; by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Taylor]]
&lt;span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"&gt;////[[http://www.youtube.com/watch?v=7QcwKlK6z4c|miniature prelude and fugue]]////&lt;/span&gt; by Kosmorsky[[media type="custom" key="10942764"]]
&lt;span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"&gt;[[http://www.youtube.com/watch?v=7QcwKlK6z4c|miniature prelude and fugue]]&lt;/span&gt; by Kosmorsky[[media type="custom" key="10942764"]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/27edo/daily20111202-deep-chasm-zeta-cp-1.mp3|Chicago Pile-1]]////&lt;/span&gt; by [[Chris Vaisvil]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;[[http://micro.soonlabel.com/27edo/daily20111202-deep-chasm-zeta-cp-1.mp3|Chicago Pile-1]]&lt;/span&gt; by [[Chris Vaisvil]]
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Perc-Sitar.mp3|Tetracot Perc-Sitar]]//// by [[http://soundcloud.com/dustin-schallert/tetracot-perc-sitar|Dustin Schallert]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Perc-Sitar.mp3|Tetracot Perc-Sitar]] by [[http://soundcloud.com/dustin-schallert/tetracot-perc-sitar|Dustin Schallert]]
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Jam.mp3|Tetracot Jam]]//// by [[http://soundcloud.com/dustin-schallert/tetracot-jam|Dustin Schallert]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Jam.mp3|Tetracot Jam]] by [[http://soundcloud.com/dustin-schallert/tetracot-jam|Dustin Schallert]]
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Pump.mp3|Tetracot Pump]]//// by [[http://soundcloud.com/dustin-schallert/tetracot-pump|Dustin Schallert]] all in [[27edo]]
[[http://micro.soonlabel.com/gene_ward_smith/Others/Schallert/Tetracot%20Pump.mp3|Tetracot Pump]] by [[http://soundcloud.com/dustin-schallert/tetracot-pump|Dustin Schallert]] all in [[27edo]]
[[https://soundcloud.com/dustin-schallert/27-edo-guitar-1|27-EDO Guitar 1 by Dustin Schallert]]</pre></div>
[[https://soundcloud.com/dustin-schallert/27-edo-guitar-1|27-EDO Guitar 1 by Dustin Schallert]]</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Cents value&lt;br /&gt;
         &lt;td&gt;Cents value&lt;br /&gt;
DMS value&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;44.44&lt;br /&gt;
         &lt;td&gt;44.44&lt;br /&gt;
13°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;36/35, 49/48, 50/49&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;36/35, 49/48, 50/49&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;88.89&lt;br /&gt;
         &lt;td&gt;88.89&lt;br /&gt;
26°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;16/15, 21/20, 25/24&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;16/15, 21/20, 25/24&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;133.33&lt;br /&gt;
         &lt;td&gt;133.33&lt;br /&gt;
40°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;14/13, 13/12&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;14/13, 13/12&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;177.78&lt;br /&gt;
         &lt;td&gt;177.78&lt;br /&gt;
53°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;10/9&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;10/9&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;222.22&lt;br /&gt;
         &lt;td&gt;222.22&lt;br /&gt;
66°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;8/7, 9/8&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;8/7, 9/8&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;266.67&lt;br /&gt;
         &lt;td&gt;266.67&lt;br /&gt;
80°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;7/6&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7/6&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;311.11&lt;br /&gt;
         &lt;td&gt;311.11&lt;br /&gt;
93°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;6/5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;6/5&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;355.56&lt;br /&gt;
         &lt;td&gt;355.56&lt;br /&gt;
106°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;16/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;16/13&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;400&lt;br /&gt;
         &lt;td&gt;400&lt;br /&gt;
120°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;5/4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;5/4&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;444.44&lt;br /&gt;
         &lt;td&gt;444.44&lt;br /&gt;
133°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;9/7, 13/10&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9/7, 13/10&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;488.89&lt;br /&gt;
         &lt;td&gt;488.89&lt;br /&gt;
146°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;4/3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4/3&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;533.33&lt;br /&gt;
         &lt;td&gt;533.33&lt;br /&gt;
160°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;49/36, 48/35&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;49/36, 48/35&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;577.78&lt;br /&gt;
         &lt;td&gt;577.78&lt;br /&gt;
173°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;7/5, 18/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7/5, 18/13&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;622.22&lt;br /&gt;
         &lt;td&gt;622.22&lt;br /&gt;
186°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;10/7, 13/9&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;10/7, 13/9&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;666.67&lt;br /&gt;
         &lt;td&gt;666.67&lt;br /&gt;
200°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;72/49, 35/24&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;72/49, 35/24&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;711.11&lt;br /&gt;
         &lt;td&gt;711.11&lt;br /&gt;
213°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;3/2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3/2&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;755.56&lt;br /&gt;
         &lt;td&gt;755.56&lt;br /&gt;
226°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;14/9, 20/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;14/9, 20/13&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;800&lt;br /&gt;
         &lt;td&gt;800&lt;br /&gt;
240°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;8/5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;8/5&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;844.44&lt;br /&gt;
         &lt;td&gt;844.44&lt;br /&gt;
253°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;13/8&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;13/8&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;888.89&lt;br /&gt;
         &lt;td&gt;888.89&lt;br /&gt;
266°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;5/3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;5/3&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;933.33&lt;br /&gt;
         &lt;td&gt;933.33&lt;br /&gt;
280°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;12/7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;12/7&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;977.78&lt;br /&gt;
         &lt;td&gt;977.78&lt;br /&gt;
293°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;7/4, 16/9&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7/4, 16/9&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1022.22&lt;br /&gt;
         &lt;td&gt;1022.22&lt;br /&gt;
306°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;9/5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9/5&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1066,67&lt;br /&gt;
         &lt;td&gt;1066,67&lt;br /&gt;
320°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;13/7, 24/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;13/7, 24/13&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1111.11&lt;br /&gt;
         &lt;td&gt;1111.11&lt;br /&gt;
333°20'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;40/21&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;40/21&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1155.56&lt;br /&gt;
         &lt;td&gt;1155.56&lt;br /&gt;
346°40'&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;35/18, 96/49, 49/25&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;35/18, 96/49, 49/25&lt;br /&gt;
Line 402: Line 457:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1200&lt;br /&gt;
         &lt;td&gt;1200&lt;br /&gt;
360°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;