Pajara extensions: Difference between revisions

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**Imported revision 382976328 - Original comment: **
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<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:genewardsmith|genewardsmith]] and made on <tt>2012-11-15 14:52:18 UTC</tt>.<br>
: The original revision id was <tt>382976328</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=
=Tuning Spectra=
==Spectrum of Pajara Tunings by Eigenmonzos==
[[Gencom]]: [7/5 3/2; 50/49 64/63 65/63 99/98]
[[Gencom map]]: [&lt;2 2 7 8 14 5|, &lt;0 1 -2 -2 -6 2|]
||~ Eigenmonzo ||~ Fifth ||
|| 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 ||
|| |0 -50 5 5 29&gt; || 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) ||
|| |0 -49 9 9 37 -19&gt; || 708.901 (13 limit least squares) ||
|| |0 -51 7 10 42 -22&gt; || 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 ||
==Spectrum of Pajarous Tunings by Eigenmonzos==
[[Gencom]]: [7/5 3/2; 50/49 55/54 64/63 65/63]
[[Gencom map]]: [&lt;2 2 7 8 1 5|, &lt;0 1 -2 -2 5 2|]
||~ Eigenmonzo ||~ Fifth ||
|| 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 ||
|| 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) ||
|| |0 17 -16 -16 26&gt; || 709.883 (11 limit least squares) ||
|| 11/8 || 710.264 ||
|| 15/11 || 710.508 ||
|| |0 16 -20 -20 29 8&gt; || 710.665 (13 limit least squares) ||
|| |0 7 -29 -21 35 11&gt; || 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==  
==Spectrum of Pajara Tunings by Eigenmonzos==


[[Gencom]]: [7/5 3/2; 40/39 50/49 55/54 64/63]
[[Gencom|Gencom]]: [7/5 3/2; 50/49 64/63 65/63 99/98]
[[Gencom map]]: [&lt;2 2 7 8 1 11|, &lt;0 1 -2 -2 5 -3|]
||~ Eigenmonzo ||~ Fifth ||
|| 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) ||
|| |0 17 -16 -16 26&gt; || 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 ||
|| |0 31 -15 -15 34 -22&gt; || 711.580 (13 limit least squares) ||
|| |0 27 -19 -16 40 -24&gt; || 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 ||


==Spectrum of Pajaric Tunings by Eigenmonzos==
[[Gencom_map|Gencom map]]: [&lt;2 2 7 8 14 5|, &lt;0 1 -2 -2 -6 2|]


[[Gencom]]: [7/5 3/2; 40/39 45/44 50/49 56/55]
{| class="wikitable"
[[Gencom map]]: [&lt;2 2 7 8 7 11|, &lt;0 1 -2 -2 0 -3|]
|-
||~ Eigenmonzo ||~ Fifth ||
! | Eigenmonzo
|| 15/11 || 663.049 ||
! | Fifth
|| 11/10 || 682.502 ||
|-
|| 14/11 || 691.246 ||
| | 4/3
|| 4/3 || 701.955 ||
| | 701.955
|| 13/11 || 703.597 ||
|-
|| 10/9 || 704.399 ||
| | 14/11
|| 6/5 || 705.214 (5 limit minimax) ||
| | 704.377
|| 3125/2592 || 705.447 (5 limit least squares) ||
|-
|| 20\34 || 705.882 ||
| | 10/9
|| |0 -32 11 11 -1&gt; || 706.676 (11 limit least squares) ||
| | 704.399
|| 5/4 || 706.843 (11, 13 and 15 limit minimax) ||
|-
|| 33\56 || 707.143 ||
| | 6/5
|| 35/27 || 707.246 (9 limit least squares) ||
| | 705.214 (5 limit minimax)
|| 9/7 || 708.771 (9 limit minimax) ||
|-
|| 71663616/52521875 || 708.814 (7 limit least squares) ||
| | 3125/2592
|| 13\22 || 709.091 ||
| | 705.447 (5 limit least squares)
|| |0 -46 10 10 -4 17&gt; || 709.889 (13 limit least squares) ||
|-
|| |0 -47 9 11 -5 19&gt; || 710.032 (15 limit least squares) ||
| | 20\34
|| 7/6 || 711.043 (7 limit minimax) ||
| | 705.882
|| 32\54 || 711.111 ||
|-
|| 16/15 || 711.731 ||
| | 11/9
|| 19\32 || 712.500 ||
| | 706.574
|| 18/13 || 712.676 ||
|-
|| 13/12 || 715.357 ||
| | 5/4
|| 8/7 || 715.587 ||
| | 706.843
|| 15/14 || 719.443 ||
|-
|| 16/13 || 719.824 ||
| | |0 -50 5 5 29&gt;
|| 15/13 || 723.871 ||
| | 707.106 (11 limit least squares)
|| 11/9 || 726.296 ||
|-
|| 14/13 || 728.298 ||
| | 33\56
|| 13/10 || 745.786 ||
| | 707.143
|| 12/11 || 750.637 ||</pre></div>
|-
<h4>Original HTML content:</h4>
| | 12/11
<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;
| | 707.234
&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;
| | 35/27
&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;
| | 707.246 (9 limit least squares)
&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;
| | 15/11
&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;
| | 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)
|-
| | |0 -49 9 9 37 -19&gt;
| | 708.901 (13 limit least squares)
|-
| | |0 -51 7 10 42 -22&gt;
| | 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
|}


==Spectrum of Pajarous Tunings by Eigenmonzos==


&lt;table class="wiki_table"&gt;
[[Gencom|Gencom]]: [7/5 3/2; 50/49 55/54 64/63 65/63]
    &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;|0 -50 5 5 29&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.106 (11 limit least squares)&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;|0 -49 9 9 37 -19&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.901 (13 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;|0 -51 7 10 42 -22&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.038 (15 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;19\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.500&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;
[[Gencom_map|Gencom map]]: [&lt;2 2 7 8 1 5|, &lt;0 1 -2 -2 5 2|]
&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;


{| class="wikitable"
|-
! | Eigenmonzo
! | Fifth
|-
| | 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
|-
| | 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)
|-
| | |0 17 -16 -16 26&gt;
| | 709.883 (11 limit least squares)
|-
| | 11/8
| | 710.264
|-
| | 15/11
| | 710.508
|-
| | |0 16 -20 -20 29 8&gt;
| | 710.665 (13 limit least squares)
|-
| | |0 7 -29 -21 35 11&gt;
| | 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
|}


&lt;table class="wiki_table"&gt;
==Spectrum of Pajaro Tunings by Eigenmonzos==
    &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;|0 17 -16 -16 26&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.883 (11 limit least squares)&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;|0 16 -20 -20 29 8&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.665 (13 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;|0 7 -29 -21 35 11&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.879 (15 limit least squares)&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;19\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.500&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;
[[Gencom|Gencom]]: [7/5 3/2; 40/39 50/49 55/54 64/63]
&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;


[[Gencom_map|Gencom map]]: [&lt;2 2 7 8 1 11|, &lt;0 1 -2 -2 5 -3|]


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
! | Eigenmonzo
&lt;/th&gt;
! | Fifth
        &lt;th&gt;Fifth&lt;br /&gt;
|-
&lt;/th&gt;
| | 4/3
    &lt;/tr&gt;
| | 701.955
    &lt;tr&gt;
|-
        &lt;td&gt;4/3&lt;br /&gt;
| | 10/9
&lt;/td&gt;
| | 704.399
        &lt;td&gt;701.955&lt;br /&gt;
|-
&lt;/td&gt;
| | 6/5
    &lt;/tr&gt;
| | 705.214 (5 limit minimax)
    &lt;tr&gt;
|-
        &lt;td&gt;10/9&lt;br /&gt;
| | 3125/2592
&lt;/td&gt;
| | 705.447 (5 limit least squares)
        &lt;td&gt;704.399&lt;br /&gt;
|-
&lt;/td&gt;
| | 20\34
    &lt;/tr&gt;
| | 705.882
    &lt;tr&gt;
|-
        &lt;td&gt;6/5&lt;br /&gt;
| | 5/4
&lt;/td&gt;
| | 706.843
        &lt;td&gt;705.214 (5 limit minimax)&lt;br /&gt;
|-
&lt;/td&gt;
| | 33\56
    &lt;/tr&gt;
| | 707.143
    &lt;tr&gt;
|-
        &lt;td&gt;3125/2592&lt;br /&gt;
| | 35/27
&lt;/td&gt;
| | 707.246 (9 limit least squares)
        &lt;td&gt;705.447 (5 limit least squares)&lt;br /&gt;
|-
&lt;/td&gt;
| | 9/7
    &lt;/tr&gt;
| | 708.771 (9 limit minimax)
    &lt;tr&gt;
|-
        &lt;td&gt;20\34&lt;br /&gt;
| | 71663616/52521875
&lt;/td&gt;
| | 708.814 (7 limit least squares)
        &lt;td&gt;705.882&lt;br /&gt;
|-
&lt;/td&gt;
| | 13\22
    &lt;/tr&gt;
| | 709.091
    &lt;tr&gt;
|-
        &lt;td&gt;5/4&lt;br /&gt;
| | 11/10
&lt;/td&gt;
| | 709.286 (11 limit minimax)
        &lt;td&gt;706.843&lt;br /&gt;
|-
&lt;/td&gt;
| | |0 17 -16 -16 26&gt;
    &lt;/tr&gt;
| | 709.883 (11 limit least squares)
    &lt;tr&gt;
|-
        &lt;td&gt;33\56&lt;br /&gt;
| | 11/8
&lt;/td&gt;
| | 710.264
        &lt;td&gt;707.143&lt;br /&gt;
|-
&lt;/td&gt;
| | 15/11
    &lt;/tr&gt;
| | 710.508
    &lt;tr&gt;
|-
        &lt;td&gt;35/27&lt;br /&gt;
| | 7/6
&lt;/td&gt;
| | 711.043 (7 limit minimax)
        &lt;td&gt;707.246 (9 limit least squares)&lt;br /&gt;
|-
&lt;/td&gt;
| | 32\54
    &lt;/tr&gt;
| | 711.111
    &lt;tr&gt;
|-
        &lt;td&gt;9/7&lt;br /&gt;
| | |0 31 -15 -15 34 -22&gt;
&lt;/td&gt;
| | 711.580 (13 limit least squares)
        &lt;td&gt;708.771 (9 limit minimax)&lt;br /&gt;
|-
&lt;/td&gt;
| | |0 27 -19 -16 40 -24&gt;
    &lt;/tr&gt;
| | 711.631 (15 limit least squares)
    &lt;tr&gt;
|-
        &lt;td&gt;71663616/52521875&lt;br /&gt;
| | 16/15
&lt;/td&gt;
| | 711.731
        &lt;td&gt;708.814 (7 limit least squares)&lt;br /&gt;
|-
&lt;/td&gt;
| | 14/11
    &lt;/tr&gt;
| | 711.785
    &lt;tr&gt;
|-
        &lt;td&gt;13\22&lt;br /&gt;
| | 12/11
&lt;/td&gt;
| | 712.341
        &lt;td&gt;709.091&lt;br /&gt;
|-
&lt;/td&gt;
| | 19\32
    &lt;/tr&gt;
| | 712.500
    &lt;tr&gt;
|-
        &lt;td&gt;11/10&lt;br /&gt;
| | 18/13
&lt;/td&gt;
| | 712.676 (13 and 15 limit minimax)
        &lt;td&gt;709.286 (11 limit minimax)&lt;br /&gt;
|-
&lt;/td&gt;
| | 13/11
    &lt;/tr&gt;
| | 713.849
    &lt;tr&gt;
|-
        &lt;td&gt;|0 17 -16 -16 26&amp;gt;&lt;br /&gt;
| | 13/12
&lt;/td&gt;
| | 715.357
        &lt;td&gt;709.883 (11 limit least squares)&lt;br /&gt;
|-
&lt;/td&gt;
| | 8/7
    &lt;/tr&gt;
| | 715.587
    &lt;tr&gt;
|-
        &lt;td&gt;11/8&lt;br /&gt;
| | 11/9
&lt;/td&gt;
| | 715.803
        &lt;td&gt;710.264&lt;br /&gt;
|-
&lt;/td&gt;
| | 15/14
    &lt;/tr&gt;
| | 719.443
    &lt;tr&gt;
|-
        &lt;td&gt;15/11&lt;br /&gt;
| | 16/13
&lt;/td&gt;
| | 719.824
        &lt;td&gt;710.508&lt;br /&gt;
|-
&lt;/td&gt;
| | 15/13
    &lt;/tr&gt;
| | 723.871
    &lt;tr&gt;
|-
        &lt;td&gt;7/6&lt;br /&gt;
| | 14/13
&lt;/td&gt;
| | 728.298
        &lt;td&gt;711.043 (7 limit minimax)&lt;br /&gt;
|-
&lt;/td&gt;
| | 13/10
    &lt;/tr&gt;
| | 745.786
    &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;|0 31 -15 -15 34 -22&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.580 (13 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;|0 27 -19 -16 40 -24&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.631 (15 limit least squares)&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;19\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.500&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;
==Spectrum of Pajaric Tunings by Eigenmonzos==
&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;


[[Gencom|Gencom]]: [7/5 3/2; 40/39 45/44 50/49 56/55]


&lt;table class="wiki_table"&gt;
[[Gencom_map|Gencom map]]: [&lt;2 2 7 8 7 11|, &lt;0 1 -2 -2 0 -3|]
    &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;|0 -32 11 11 -1&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.676 (11 limit least squares)&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;|0 -46 10 10 -4 17&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.889 (13 limit least squares)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;|0 -47 9 11 -5 19&amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;710.032 (15 limit least squares)&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;19\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;712.500&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>
{| class="wikitable"
|-
! | 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
|-
| | |0 -32 11 11 -1&gt;
| | 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
|-
| | |0 -46 10 10 -4 17&gt;
| | 709.889 (13 limit least squares)
|-
| | |0 -47 9 11 -5 19&gt;
| | 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
|}

Revision as of 00:00, 17 July 2018

Tuning Spectra

Spectrum of Pajara Tunings by Eigenmonzos

Gencom: [7/5 3/2; 50/49 64/63 65/63 99/98]

Gencom map: [<2 2 7 8 14 5|, <0 1 -2 -2 -6 2|]

Eigenmonzo Fifth
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
|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)
|0 -49 9 9 37 -19> 708.901 (13 limit least squares)
|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

Spectrum of Pajarous Tunings by Eigenmonzos

Gencom: [7/5 3/2; 50/49 55/54 64/63 65/63]

Gencom map: [<2 2 7 8 1 5|, <0 1 -2 -2 5 2|]

Eigenmonzo Fifth
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
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)
|0 17 -16 -16 26> 709.883 (11 limit least squares)
11/8 710.264
15/11 710.508
|0 16 -20 -20 29 8> 710.665 (13 limit least squares)
|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

Gencom: [7/5 3/2; 40/39 50/49 55/54 64/63]

Gencom map: [<2 2 7 8 1 11|, <0 1 -2 -2 5 -3|]

Eigenmonzo Fifth
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)
|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
|0 31 -15 -15 34 -22> 711.580 (13 limit least squares)
|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

Spectrum of Pajaric Tunings by Eigenmonzos

Gencom: [7/5 3/2; 40/39 45/44 50/49 56/55]

Gencom map: [<2 2 7 8 7 11|, <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
|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
|0 -46 10 10 -4 17> 709.889 (13 limit least squares)
|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
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