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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Breadcrumb|Pajara}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-15 13:04:39 UTC</tt>.<br>
: The original revision id was <tt>382920124</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>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">


=Tuning Spectra=
The [[11-limit]] [[pajara]] temperament has various [[extension]]s to the [[13-limit]]. The following temperaments are discussed in this article:
==Spectrum of Pajara Tunings by Eigenmonzos==
* '''Tridecimal pajara''' ({{nowrap| 12 & 22 }}) – tempering out 50/49, 64/63, 65/63, 99/98;
* '''Pajarina''' ({{nowrap| 12f & 22 }}) – tempering out 50/49, 64/63, 78/77, 99/98;
* '''Pajarita''' ({{nowrap| 12f & 22f }}) – tempering out 40/39, 50/49, 64/63, 66/65;


[[Gencom]]: [7/5 3/2; 50/49 64/63 65/63 99/98]
In addition, we also consider the 13-limit extensions of important alternative 11-limit mappings. These are:
[[Gencom map]]: [&lt;2 2 7 8 14 5|, &lt;0 1 -2 -2 -6 2|]
* '''Tridecimal pajarous''' ({{nowrap| 10 & 22 }}) – tempering out 50/49, 55/54, 64/63, 65/63;
||~ Eigenmonzo ||~ Fifth ||
* '''Pajaro''' ({{nowrap| 10 & 22f }}) – tempering out 40/39, 50/49, 55/54, 64/63.  
|| 4/3 || 701.955 ||
* '''Pajaric''' ({{nowrap| 10 & 12f }}) – tempering out 40/39, 45/44, 50/49, 56/55.  
|| 14/11 || 704.377 ||
|| 10/9 || 704.399 ||
|| 6/5 || 705.214 (5 limit minimax) ||
|| 3125/2592 || 705.447 (5 limit least squares) ||
|| 20\34 || 705.882 ||
|| 11/9 || 706.574 ||
|| 5/4 || 706.843 ||
|| 33\56 || 707.143 ||
|| 12/11 || 707.234 ||
|| 35/27 || 707.246 (9 limit least squares) ||
|| 15/11 || 707.390 ||
|| 11/8 || 708.114 ||
|| 11/10 || 708.749 (11 limit minimax) ||
|| 9/7 || 708.771 (9 limit minimax) ||
|| 71663616/52521875 || 708.814 (7 limit least squares) ||
|| 13\22 || 709.091 ||
|| 7/6 || 711.043 (7 limit minimax) ||
|| 32\54 || 711.111 ||
|| 13/11 || 711.151 (13 and 15 limit minimax) ||
|| 16/15 || 711.731 ||
|| 13/10 || 713.553 ||
|| 8/7 || 715.587 ||
|| 15/13 || 717.420 ||
|| 14/13 || 717.925 ||
|| 15/14 || 719.443 ||
|| 16/13 || 720.264 ||
|| 13/12 || 738.573 ||


==Spectrum of Pajarous Tunings by Eigenmonzos==  
== Tuning spectra ==
=== Pajara ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! Generator (¢)
! Comments
|-
|
| 4/3
| 701.955
|
|-
|
| 14/11
| 704.377
|
|-
|
| 10/9
| 704.399
|
|-
|
| 6/5
| 705.214
| 5 limit minimax
|-
|
| 3125/2592
| 705.447
| 5 limit least squares
|-
| 20\34
|
| 705.882
|
|-
|
| 11/9
| 706.574
|
|-
|
| 5/4
| 706.843
|
|-
|
| {{vector|0 -50 5 5 29}}
| 707.106
| 11 limit least squares
|-
| 33\56
|
| 707.143
|
|-
|
| 12/11
| 707.234
|
|-
|
| 35/27
| 707.246
| 9 limit least squares
|-
|
| 15/11
| 707.390
|
|-
|
| 11/8
| 708.114
|
|-
|
| 11/10
| 708.749
| 11 limit minimax
|-
|
| 9/7
| 708.771
| 9 limit minimax
|-
|
| 71663616/52521875
| 708.814
| 7 limit least squares
|-
|
| {{vector|0 -49 9 9 37 -19}}
| 708.901
| 13 limit least squares
|-
|
| {{vector|0 -51 7 10 42 -22}}
| 709.038
| 15 limit least squares
|-
| 13\22
|
| 709.091
|
|-
|
| 7/6
| 711.043
| 7 limit minimax
|-
| 32\54
|
| 711.111
|
|-
|
| 13/11
| 711.151
| 13 and 15 limit minimax
|-
|
| 16/15
| 711.731
|
|-
| 19\32
|
| 712.500
|
|-
|
| 13/10
| 713.553
|
|-
|
| 8/7
| 715.587
|
|-
|
| 15/13
| 717.420
|
|-
|
| 14/13
| 717.925
|
|-
|
| 15/14
| 719.443
|
|-
|
| 16/13
| 720.264
|
|-
|
| 13/12
| 738.573
|
|}


[[Gencom]]: [7/5 3/2; 50/49 55/54 64/63 65/63]
=== Pajarous ===
[[Gencom map]]: [&lt;2 2 7 8 1 5|, &lt;0 1 -2 -2 5 2|]
{| class="wikitable center-all left-4"
||~ Eigenmonzo ||~ Fifth ||
|-
|| 4/3 || 701.955 ||
! Edo<br>generator
|| 13/11 || 703.597 ||
! Eigenmonzo<br>(unchanged interval)
|| 10/9 || 704.399 ||
! Generator (¢)
|| 6/5 || 705.214 (5 limit minimax) ||
! Comments
|| 3125/2592 || 705.447 (5 limit least squares) ||
|-
|| 20\34 || 705.882 ||
|  
|| 5/4 || 706.843 ||
| 4/3
|| 33\56 || 707.143 ||
| 701.955
|| 35/27 || 707.246 (9 limit least squares) ||
|  
|| 9/7 || 708.771 (9, 13 and 15 limit minimax) ||
|-
|| 71663616/52521875 || 708.814 (7 limit least squares) ||
|  
|| 13\22 || 709.091 ||
| 13/11
|| 11/10 || 709.286 (11 limit minimax) ||
| 703.597
|| 11/8 || 710.264 ||
|  
|| 15/11 || 710.508 ||
|-
|| 7/6 || 711.043 (7 limit minimax) ||
|  
|| 32\54 || 711.111 ||
| 10/9
|| 16/15 || 711.731 ||
| 704.399
|| 14/11 || 711.785 ||
|  
|| 12/11 || 712.341 ||
|-
|| 13/10 || 713.553 ||
|  
|| 8/7 || 715.587 ||
| 6/5
|| 11/9 || 715.803 ||
| 705.214
|| 15/13 || 717.420 ||
| 5 limit minimax
|| 14/13 || 717.925 ||
|-
|| 15/14 || 719.443 ||
|  
|| 16/13 || 720.264 ||
| 3125/2592
|| 13/12 || 738.573 ||
| 705.447
| 5 limit least squares
|-
| 20\34
|  
| 705.882
|  
|-
|  
| 5/4
| 706.843
|  
|-
| 33\56
|  
| 707.143
|  
|-
|  
| 35/27
| 707.246
| 9 limit least squares
|-
|  
| 9/7
| 708.771
| 9, 13 and 15 limit minimax
|-
|  
| 71663616/52521875
| 708.814
| 7 limit least squares
|-
| 13\22
|  
| 709.091
|  
|-
|  
| 11/10
| 709.286
| 11 limit minimax
|-
|
| {{vector|0 17 -16 -16 26}}
| 709.883
| 11 limit least squares
|-
|  
| 11/8
| 710.264
|  
|-
|  
| 15/11
| 710.508
|
|-
|
| {{vector|0 16 -20 -20 29 8}}
| 710.665
| 13 limit least squares
|-
|
| {{vector|0 7 -29 -21 35 11}}
| 710.879
| 15 limit least squares
|-
|  
| 7/6
| 711.043
| 7 limit minimax
|-
| 32\54
|  
| 711.111
|  
|-
|  
| 16/15
| 711.731
|  
|-
|  
| 14/11
| 711.785
|  
|-
|  
| 12/11
| 712.341
|  
|-
| 19\32
|
| 712.500
|  
|-
|  
| 13/10
| 713.553
|  
|-
|  
| 8/7
| 715.587
|  
|-
|  
| 11/9
| 715.803
|  
|-
|  
| 15/13
| 717.420
|  
|-
|  
| 14/13
| 717.925
|  
|-
|  
| 15/14
| 719.443
|  
|-
|  
| 16/13
| 720.264
|  
|-
|  
| 13/12
| 738.573
|  
|}


==Spectrum of Pajaro Tunings by Eigenmonzos==  
=== Pajaro ===
{| class="wikitable center-all left-4"
|-
! Edo<br>generator
! Eigenmonzo<br>(unchanged interval)
! Generator (¢)
! Comments
|-
|
| 4/3
| 701.955
|
|-
|
| 10/9
| 704.399
|
|-
|
| 6/5
| 705.214
| 5 limit minimax
|-
|
| 3125/2592
| 705.447
| 5 limit least squares
|-
| 20\34
|
| 705.882
|
|-
|
| 5/4
| 706.843
|
|-
| 33\56
|
| 707.143
|
|-
|
| 35/27
| 707.246
| 9 limit least squares
|-
|
| 9/7
| 708.771
| 9 limit minimax
|-
|
| 71663616/52521875
| 708.814
| 7 limit least squares
|-
| 13\22
|
| 709.091
|
|-
|
| 11/10
| 709.286
| 11 limit minimax
|-
|
| {{vector|0 17 -16 -16 26}}
| 709.883
| 11 limit least squares
|-
|
| 11/8
| 710.264
|
|-
|
| 15/11
| 710.508
|
|-
|
| 7/6
| 711.043
| 7 limit minimax
|-
| 32\54
|
| 711.111
|
|-
|
| {{vector|0 31 -15 -15 34 -22}}
| 711.580
| 13 limit least squares
|-
|
| {{vector|0 27 -19 -16 40 -24}}
| 711.631
| 15 limit least squares
|-
|
| 16/15
| 711.731
|
|-
|
| 14/11
| 711.785
|
|-
|
| 12/11
| 712.341
|
|-
| 19\32
|
| 712.500
|
|-
|
| 18/13
| 712.676
| 13 and 15 limit minimax
|-
|
| 13/11
| 713.849
|
|-
|
| 13/12
| 715.357
|
|-
|
| 8/7
| 715.587
|
|-
|
| 11/9
| 715.803
|
|-
|
| 15/14
| 719.443
|
|-
|
| 16/13
| 719.824
|
|-
|
| 15/13
| 723.871
|
|-
|
| 14/13
| 728.298
|
|-
|
| 13/10
| 745.786
|
|}


[[Gencom]]: [7/5 3/2; 40/39 50/49 55/54 64/63]
=== Pajaric ===
[[Gencom map]]: [&lt;2 2 7 8 1 11|, &lt;0 1 -2 -2 5 -3|]
{| class="wikitable center-all left-4"
||~ Eigenmonzo ||~ Fifth ||
|-
|| 4/3 || 701.955 ||
! Edo<br>generator
|| 10/9 || 704.399 ||
! Eigenmonzo<br>(unchanged interval)
|| 6/5 || 705.214 (5 limit minimax) ||
! Generator (¢)
|| 3125/2592 || 705.447 (5 limit least squares) ||
! Comments
|| 20\34 || 705.882 ||
|-
|| 5/4 || 706.843 ||
|
|| 33\56 || 707.143 ||
| 15/11
|| 35/27 || 707.246 (9 limit least squares) ||
| 663.049
|| 9/7 || 708.771 (9 limit minimax) ||
|
|| 71663616/52521875 || 708.814 (7 limit least squares) ||
|-
|| 13\22 || 709.091 ||
|
|| 11/10 || 709.286 (11 limit minimax) ||
| 11/10
|| 11/8 || 710.264 ||
| 682.502
|| 15/11 || 710.508 ||
|  
|| 7/6 || 711.043 (7 limit minimax) ||
|-
|| 32\54 || 711.111 ||
|  
|| 16/15 || 711.731 ||
| 14/11
|| 14/11 || 711.785 ||
| 691.246
|| 12/11 || 712.341 ||
|  
|| 18/13 || 712.676 (13 and 15 limit minimax) ||
|-
|| 13/11 || 713.849 ||
|  
|| 13/12 || 715.357 ||
| 4/3
|| 8/7 || 715.587 ||
| 701.955
|| 11/9 || 715.803 ||
|  
|| 15/14 || 719.443 ||
|-
|| 16/13 || 719.824 ||
|  
|| 15/13 || 723.871 ||
| 13/11
|| 14/13 || 728.298 ||
| 703.597
|| 13/10 || 745.786 ||
|
|-
|
| 10/9
| 704.399
|  
|-
|  
| 6/5
| 705.214
| 5 limit minimax
|-
|  
| 3125/2592
| 705.447
| 5 limit least squares
|-
| 20\34
|  
| 705.882
|
|-
|  
| {{vector|0 -32 11 11 -1}}
| 706.676
| 11 limit least squares
|-
|  
| 5/4
| 706.843
| 11, 13 and 15 limit minimax
|-
| 33\56
|  
| 707.143
|  
|-
|  
| 35/27
| 707.246
| 9 limit least squares
|-
|  
| 9/7
| 708.771
| 9 limit minimax
|-
|  
| 71663616/52521875
| 708.814
| 7 limit least squares
|-
| 13\22
|  
| 709.091
|  
|-
|  
| {{vector|0 -46 10 10 -4 17}}
| 709.889
| 13 limit least squares
|-
|  
| {{vector|0 -47 9 11 -5 19}}
| 710.032
| 15 limit least squares
|-
|  
| 7/6
| 711.043
| 7 limit minimax
|-
| 32\54
|  
| 711.111
|  
|-
|  
| 16/15
| 711.731
|  
|-
| 19\32
|  
| 712.500
|  
|-
|  
| 18/13
| 712.676
|  
|-
|  
| 13/12
| 715.357
|  
|-
|  
| 8/7
| 715.587
|  
|-
|  
| 15/14
| 719.443
|  
|-
|  
| 16/13
| 719.824
|  
|-
|  
| 15/13
| 723.871
|  
|-
|  
| 11/9
| 726.296
|
|-
|
| 14/13
| 728.298
|  
|-
|  
| 13/10
| 745.786
|
|-
|
| 12/11
| 750.637
|
|}


==Spectrum of Pajaric Tunings by Eigenmonzos==
[[Category:Pajara]]
 
[[Category:Temperament extensions]]
[[Gencom]]: [7/5 3/2; 40/39 45/44 50/49 56/55]
{{Todo| cleanup | expand }}
[[Gencom map]]: [&lt;2 2 7 8 7 11|, &lt;0 1 -2 -2 0 -3|]
||~ Eigenmonzo ||~ Fifth ||
|| 15/11 || 663.049 ||
|| 11/10 || 682.502 ||
|| 14/11 || 691.246 ||
|| 4/3 || 701.955 ||
|| 13/11 || 703.597 ||
|| 10/9 || 704.399 ||
|| 6/5 || 705.214 (5 limit minimax) ||
|| 3125/2592 || 705.447 (5 limit least squares) ||
|| 20\34 || 705.882 ||
|| 5/4 || 706.843 (11, 13 and 15 limit minimax) ||
|| 33\56 || 707.143 ||
|| 35/27 || 707.246 (9 limit least squares) ||
|| 9/7 || 708.771 (9 limit minimax) ||
|| 71663616/52521875 || 708.814 (7 limit least squares) ||
|| 13\22 || 709.091 ||
|| 7/6 || 711.043 (7 limit minimax) ||
|| 32\54 || 711.111 ||
|| 16/15 || 711.731 ||
|| 18/13 || 712.676 ||
|| 13/12 || 715.357 ||
|| 8/7 || 715.587 ||
|| 15/14 || 719.443 ||
|| 16/13 || 719.824 ||
|| 15/13 || 723.871 ||
|| 11/9 || 726.296 ||
|| 14/13 || 728.298 ||
|| 13/10 || 745.786 ||
|| 12/11 || 750.637 ||
</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Pajara extensions&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Tuning Spectra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Tuning Spectra&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Tuning Spectra-Spectrum of Pajara Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Spectrum of Pajara Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [7/5 3/2; 50/49 64/63 65/63 99/98]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom%20map"&gt;Gencom map&lt;/a&gt;: [&amp;lt;2 2 7 8 14 5|, &amp;lt;0 1 -2 -2 -6 2|]&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Fifth&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;701.955&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.377&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.399&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.214 (5 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3125/2592&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.447 (5 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.882&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.574&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.843&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.143&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.234&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.246 (9 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.390&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.114&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.749 (11 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.771 (9 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;71663616/52521875&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.814 (7 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.091&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.043 (7 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.111&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.151 (13 and 15 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.731&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;713.553&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.587&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;717.420&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;717.925&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;719.443&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;720.264&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;738.573&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Tuning Spectra-Spectrum of Pajarous Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Spectrum of Pajarous Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [7/5 3/2; 50/49 55/54 64/63 65/63]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom%20map"&gt;Gencom map&lt;/a&gt;: [&amp;lt;2 2 7 8 1 5|, &amp;lt;0 1 -2 -2 5 2|]&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Fifth&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;701.955&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;703.597&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.399&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.214 (5 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3125/2592&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.447 (5 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.882&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.843&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.143&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.246 (9 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.771 (9, 13 and 15 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;71663616/52521875&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.814 (7 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.091&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.286 (11 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.264&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.508&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.043 (7 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.111&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.731&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.785&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.341&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;713.553&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.587&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.803&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;717.420&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;717.925&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;719.443&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;720.264&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;738.573&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Tuning Spectra-Spectrum of Pajaro Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Spectrum of Pajaro Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [7/5 3/2; 40/39 50/49 55/54 64/63]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom%20map"&gt;Gencom map&lt;/a&gt;: [&amp;lt;2 2 7 8 1 11|, &amp;lt;0 1 -2 -2 5 -3|]&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Fifth&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;701.955&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.399&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.214 (5 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3125/2592&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.447 (5 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.882&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.843&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.143&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.246 (9 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.771 (9 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;71663616/52521875&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.814 (7 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.091&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.286 (11 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.264&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.508&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.043 (7 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.111&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.731&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.785&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.341&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.676 (13 and 15 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;713.849&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.357&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.587&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.803&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;719.443&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;719.824&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;723.871&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;728.298&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;745.786&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Tuning Spectra-Spectrum of Pajaric Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Spectrum of Pajaric Tunings by Eigenmonzos&lt;/h2&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [7/5 3/2; 40/39 45/44 50/49 56/55]&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom%20map"&gt;Gencom map&lt;/a&gt;: [&amp;lt;2 2 7 8 7 11|, &amp;lt;0 1 -2 -2 0 -3|]&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Fifth&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;663.049&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;682.502&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;691.246&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;701.955&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;703.597&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.399&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.214 (5 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3125/2592&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.447 (5 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.882&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.843 (11, 13 and 15 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.143&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.246 (9 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.771 (9 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;71663616/52521875&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.814 (7 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.091&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.043 (7 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.111&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.731&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.676&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.357&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.587&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;719.443&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;719.824&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;723.871&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;726.296&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;728.298&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;745.786&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;750.637&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>
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