5L 3s: Difference between revisions

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**Imported revision 540641992 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 551971290 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-11 14:17:20 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-23 15:16:06 UTC</tt>.<br>
: The original revision id was <tt>540641992</tt>.<br>
: The original revision id was <tt>551971290</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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<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">5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:
<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">5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:
||||||||||||||||~ generator ||~ &lt;span style="display: block; text-align: center;"&gt;tetrachord&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;g in cents&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;2g&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;3g&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;4g&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;Comments&lt;/span&gt; ||
||||||||||||||||~ generator ||~ &lt;span style="display: block; text-align: center;"&gt;tetrachord&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;g in cents&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;2g&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;3g&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;4g&lt;/span&gt; ||~ &lt;span style="display: block; text-align: center;"&gt;Comments&lt;/span&gt; ||
|| 2\5 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;1 0 1&lt;/span&gt; || 480.000 || 960.000 || 240.00 || &lt;span style="line-height: 15.6000003814697px;"&gt;720.000&lt;/span&gt; ||=  ||
|| 2\5 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;1 0 1&lt;/span&gt; ||= 480.000 ||= 960.000 ||= 240.00 ||= &lt;span style="line-height: 15.6000003814697px;"&gt;720.000&lt;/span&gt; ||=  ||
|| 21\53 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;10 1 10&lt;/span&gt; || 475.472 || 950.943 || 226.415 || 701.887 ||= &lt;span style="display: block; text-align: center;"&gt;Vulture/Buzzard is around here&lt;/span&gt; ||
|| 21\53 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;10 1 10&lt;/span&gt; ||= 475.472 ||= 950.943 ||= 226.415 ||= 701.887 ||= &lt;span style="display: block; text-align: center;"&gt;Vulture/Buzzard is around here&lt;/span&gt; ||
|| 19\48 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;9 1 9&lt;/span&gt; || 475 || 950 || 225 || 700 ||=  ||
|| 19\48 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;9 1 9&lt;/span&gt; ||= 475 ||= 950 ||= 225 ||= 700 ||=  ||
|| 17\43 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;8 1 8&lt;/span&gt; || 474.419 || 948.837 || 223.256 || 697.674 ||=  ||
|| 17\43 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;8 1 8&lt;/span&gt; ||= 474.419 ||= 948.837 ||= 223.256 ||= 697.674 ||=  ||
|| 15\38 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;7 1 7&lt;/span&gt; || 473.684 || 947.368 || 221.053 || 694.737 ||=  ||
|| 15\38 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;7 1 7&lt;/span&gt; ||= 473.684 ||= 947.368 ||= 221.053 ||= 694.737 ||=  ||
|| 13\33 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;6 1 6&lt;/span&gt; || 472.727 || 945.455 || 218.181 || 690.909 ||=  ||
|| 13\33 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;6 1 6&lt;/span&gt; ||= 472.727 ||= 945.455 ||= 218.181 ||= 690.909 ||=  ||
|| 11\28 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;5 1 5&lt;/span&gt; || 471.429 || 942.857 || 214.286 || 685.714 ||=  ||
|| 11\28 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;5 1 5&lt;/span&gt; ||= 471.429 ||= 942.857 ||= 214.286 ||= 685.714 ||=  ||
|| 9\23 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;4 1 4&lt;/span&gt; || 469.565 || 939.130 || 208.696 || 678.261 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 4&lt;/span&gt; ||
|| 9\23 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;4 1 4&lt;/span&gt; ||= 469.565 ||= 939.130 ||= 208.696 ||= 678.261 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 4&lt;/span&gt; ||
||  ||  ||  ||  ||  ||  ||  ||  || 3.03 1 3.03 || 466.769 || 933.538 || 200.307 || 667.076 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3*2^(1/75)&lt;/span&gt; ||
||  ||  ||  ||  ||  ||  ||  ||  ||= pi 1 pi ||= 467.171 ||= 934.3425 ||= 201.514 ||= 668.685 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = pi&lt;/span&gt; ||
|| 7\18 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;3 1 3&lt;/span&gt; || 466.667 || 933.333 || 200.000 || 666.667 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3&lt;/span&gt; ||
|| 7\18 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;3 1 3&lt;/span&gt; ||= 466.667 ||= 933.333 ||= 200.000 ||= 666.667 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3&lt;/span&gt; ||
||  ||  ||  ||  ||  ||  ||  ||  || 2.97 1 2.97 || 466.564 || 933.127 || 199.691 || 666.255 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3/2^(1/75)&lt;/span&gt; ||
||  ||  ||  ||  ||  ||  ||  ||  ||= e 1 e ||= 465.535 ||= 931.069 ||= 196.604 ||= 662.139 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = e&lt;/span&gt; ||
||  || 12\31 ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;5 2 5&lt;/span&gt; || 464.516 || 929.032 || 193.549 || 658.065 ||=  ||
||  || 12\31 ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;5 2 5&lt;/span&gt; ||= 464.516 ||= 929.032 ||= 193.549 ||= 658.065 ||=  ||
|| 5\13 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;2 1 2&lt;/span&gt; || 461.538 || 923.077 || 184.615 || 646.154 ||=  ||
|| 5\13 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;2 1 2&lt;/span&gt; ||= 461.538 ||= 923.077 ||= 184.615 ||= 646.154 ||=  ||
||  || 13\34 ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;5 3 5&lt;/span&gt; || 458.824 || 917.647 || 176.471 || 635.294 ||=  ||
||  || 13\34 ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;5 3 5&lt;/span&gt; ||= 458.824 ||= 917.647 ||= 176.471 ||= 635.294 ||=  ||
||  ||  ||  || 34\89 ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;13 8 13&lt;/span&gt; || 458.427 || 916.854 || 175.281 || 633.708 ||=  ||
||  ||  ||  || 34\89 ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;13 8 13&lt;/span&gt; ||= 458.427 ||= 916.854 ||= 175.281 ||= 633.708 ||=  ||
||  ||  ||  ||  ||  || 89\233 ||  ||  || &lt;span style="display: block; text-align: center;"&gt;34 21 34&lt;/span&gt; || &lt;span style="line-height: 15.6000003814697px;"&gt;458.369&lt;/span&gt; || &lt;span style="display: block; text-align: center;"&gt;916.738&lt;/span&gt; || 175.107 || &lt;span style="line-height: 15.6000003814697px;"&gt;633.473&lt;/span&gt; ||=  ||
||  ||  ||  ||  ||  || 89\233 ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;34 21 34&lt;/span&gt; ||= &lt;span style="line-height: 15.6000003814697px;"&gt;458.369&lt;/span&gt; ||= &lt;span style="display: block; text-align: center;"&gt;916.738&lt;/span&gt; ||= 175.107 ||= &lt;span style="line-height: 15.6000003814697px;"&gt;633.473&lt;/span&gt; ||=  ||
||  ||  ||  ||  ||  ||  ||  || 233\610 || &lt;span style="display: block; text-align: center;"&gt;89 55 89&lt;/span&gt; || 458.361 || 916.721 || 175.082 || 633.443 ||= &lt;span style="display: block; text-align: center;"&gt;Golden father&lt;/span&gt; ||
||  ||  ||  ||  ||  ||  ||  || 233\610 ||= &lt;span style="display: block; text-align: center;"&gt;89 55 89&lt;/span&gt; ||= 458.361 ||= 916.721 ||= 175.082 ||= 633.443 ||= &lt;span style="display: block; text-align: center;"&gt;Golden father&lt;/span&gt; ||
||  ||  ||  ||  ||  ||  || 144\377 ||  || &lt;span style="display: block; text-align: center;"&gt;55 34 55&lt;/span&gt; || 458.355 || 916.711 || 175.066 || 633.422 ||=  ||
||  ||  ||  ||  ||  ||  || 144\377 ||  ||= &lt;span style="display: block; text-align: center;"&gt;55 34 55&lt;/span&gt; ||= 458.355 ||= 916.711 ||= 175.066 ||= 633.422 ||=  ||
||  ||  ||  ||  || 55\144 ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;21 13 21&lt;/span&gt; || 458.333 || 916.666 || 175 || 633.333 ||=  ||
||  ||  ||  ||  || 55\144 ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;21 13 21&lt;/span&gt; ||= 458.333 ||= 916.666 ||= 175 ||= 633.333 ||=  ||
||  ||  || 21\55 ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;8 5 8&lt;/span&gt; || 458.182 || 916.364 || 174.545 || 632.727 ||=  ||
||  ||  || 21\55 ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;8 5 8&lt;/span&gt; ||= 458.182 ||= 916.364 ||= 174.545 ||= 632.727 ||=  ||
|| 8\21 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;3 2 3&lt;/span&gt; || 457.143 || 914.286 || 171.429 || 628.571 ||= &lt;span style="display: block; text-align: center;"&gt;Optimum rank range (L/s=3/2) father&lt;/span&gt; ||
|| 8\21 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;3 2 3&lt;/span&gt; ||= 457.143 ||= 914.286 ||= 171.429 ||= 628.571 ||= &lt;span style="display: block; text-align: center;"&gt;Optimum rank range (L/s=3/2) father&lt;/span&gt; ||
|| 11\29 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;4 3 4&lt;/span&gt; || 455.172 || 910.345 || 165.517 || 620.690 ||=  ||
|| 11\29 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;4 3 4&lt;/span&gt; ||= 455.172 ||= 910.345 ||= 165.517 ||= 620.690 ||=  ||
|| 3\8 ||  ||  ||  ||  ||  ||  ||  || &lt;span style="display: block; text-align: center;"&gt;1 1 1&lt;/span&gt; || 450.000 || 900.000 || 150.000 || 600.000 ||=  ||
|| 14\37 ||  ||  ||  ||  ||  ||  ||  ||= 5 4 5 ||= 454.054 ||= 908.108 ||= 162.162 ||= 616.216 ||  ||
|| 17\45 ||  ||  ||  ||  ||  ||  ||  ||= 6 5 6 ||= 453.333 ||= 906.667 ||= 160 ||= 613.333 ||  ||
|| 20\53 ||  ||  ||  ||  ||  ||  ||  ||= 7 6 7 ||= 452.83 ||= 905.66 ||= 158.491 ||= 611.321 ||  ||
|| 23\61 ||  ||  ||  ||  ||  ||  ||  ||= 8 7 8 ||= 452.459 ||= 904.918 ||= 157.377 ||= 609.836 ||  ||
|| 26\69 ||  ||  ||  ||  ||  ||  ||  ||= 9 8 9 ||= 452.174 ||= 904.348 ||= 156.522 ||= 608.696 ||  ||
|| 29\77 ||  ||  ||  ||  ||  ||  ||  ||= 10 9 10 ||= 451.948 ||= 903.896 ||= 155.844 ||= 607.792 ||  ||
|| 3\8 ||  ||  ||  ||  ||  ||  ||  ||= &lt;span style="display: block; text-align: center;"&gt;1 1 1&lt;/span&gt; ||= 450.000 ||= 900.000 ||= 150.000 ||= 600.000 ||=  ||
The only notable harmonic entropy minimum is Vulture/[[Hemifamity temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.</pre></div>
The only notable harmonic entropy minimum is Vulture/[[Hemifamity temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.</pre></div>
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&lt;/td&gt;
         &lt;td&gt;947.368&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;947.368&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;221.053&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;221.053&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;694.737&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;694.737&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 220: Line 226:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;6 1 6&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;6 1 6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;472.727&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;472.727&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;945.455&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;945.455&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;218.181&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;218.181&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;690.909&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;690.909&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 250: Line 256:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;5 1 5&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;5 1 5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;471.429&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;471.429&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;942.857&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;942.857&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;214.286&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;214.286&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;685.714&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;685.714&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 280: Line 286:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;4 1 4&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;4 1 4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;469.565&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;469.565&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;939.130&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;939.130&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;208.696&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;208.696&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;678.261&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;678.261&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 4&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 4&lt;/span&gt;&lt;br /&gt;
Line 310: Line 316:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3.03 1 3.03&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;pi 1 pi&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;466.769&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;467.171&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;933.538&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;934.3425&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;200.307&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;201.514&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;667.076&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;668.685&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3*2^(1/75)&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = pi&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 340: Line 346:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;3 1 3&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;3 1 3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;466.667&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;466.667&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;933.333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;933.333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;200.000&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;200.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;666.667&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;666.667&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3&lt;/span&gt;&lt;br /&gt;
Line 370: Line 376:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2.97 1 2.97&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;e 1 e&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;466.564&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;465.535&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;933.127&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;931.069&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;199.691&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;196.604&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;666.255&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;662.139&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3/2^(1/75)&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = e&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 400: Line 406:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;5 2 5&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;5 2 5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;464.516&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;464.516&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;929.032&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;929.032&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;193.549&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;193.549&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;658.065&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;658.065&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 430: Line 436:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;2 1 2&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;2 1 2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;461.538&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;461.538&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;923.077&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;923.077&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;184.615&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;184.615&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;646.154&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;646.154&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 460: Line 466:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;5 3 5&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;5 3 5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;458.824&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;458.824&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;917.647&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;917.647&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;176.471&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;176.471&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;635.294&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;635.294&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 490: Line 496:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;13 8 13&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;13 8 13&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;458.427&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;458.427&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;916.854&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;916.854&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;175.281&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;175.281&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;633.708&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;633.708&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 520: Line 526:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;34 21 34&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;34 21 34&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;458.369&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;458.369&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;916.738&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;916.738&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;175.107&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;175.107&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;633.473&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;633.473&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 550: Line 556:
         &lt;td&gt;233\610&lt;br /&gt;
         &lt;td&gt;233\610&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;89 55 89&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;89 55 89&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;458.361&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;458.361&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;916.721&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;916.721&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;175.082&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;175.082&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;633.443&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;633.443&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Golden father&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Golden father&lt;/span&gt;&lt;br /&gt;
Line 580: Line 586:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;55 34 55&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;55 34 55&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;458.355&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;458.355&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;916.711&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;916.711&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;175.066&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;175.066&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;633.422&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;633.422&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 610: Line 616:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;21 13 21&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;21 13 21&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;458.333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;458.333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;916.666&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;916.666&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;175&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;175&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;633.333&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;633.333&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 640: Line 646:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;8 5 8&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;8 5 8&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;458.182&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;458.182&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;916.364&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;916.364&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;174.545&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;174.545&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;632.727&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;632.727&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 670: Line 676:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;3 2 3&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;3 2 3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;457.143&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;457.143&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;914.286&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;914.286&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;171.429&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;171.429&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;628.571&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;628.571&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Optimum rank range (L/s=3/2) father&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Optimum rank range (L/s=3/2) father&lt;/span&gt;&lt;br /&gt;
Line 700: Line 706:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;4 3 4&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;4 3 4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;455.172&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;455.172&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;910.345&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;910.345&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;165.517&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;165.517&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;620.690&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;620.690&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&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;14\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;5 4 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;454.054&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;908.108&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;162.162&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;616.216&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17\45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;6 5 6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;453.333&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;906.667&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;160&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;613.333&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;7 6 7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;452.83&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;905.66&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;158.491&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;611.321&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23\61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;8 7 8&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;452.459&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;904.918&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;157.377&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;609.836&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26\69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;9 8 9&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;452.174&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;904.348&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;156.522&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;608.696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29\77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;10 9 10&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;451.948&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;903.896&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;155.844&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;607.792&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 730: Line 916:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="display: block; text-align: center;"&gt;1 1 1&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;1 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;450.000&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;450.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;900.000&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;900.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;150.000&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;150.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;600.000&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;600.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;

Revision as of 15:16, 23 May 2015

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author JosephRuhf and made on 2015-05-23 15:16:06 UTC.
The original revision id was 551971290.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of [[5edo]] = 480¢) to 3\8 (three degrees of [[8edo]] = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:
||||||||||||||||~ generator ||~ <span style="display: block; text-align: center;">tetrachord</span> ||~ <span style="display: block; text-align: center;">g in cents</span> ||~ <span style="display: block; text-align: center;">2g</span> ||~ <span style="display: block; text-align: center;">3g</span> ||~ <span style="display: block; text-align: center;">4g</span> ||~ <span style="display: block; text-align: center;">Comments</span> ||
|| 2\5 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">1 0 1</span> ||= 480.000 ||= 960.000 ||= 240.00 ||= <span style="line-height: 15.6000003814697px;">720.000</span> ||=   ||
|| 21\53 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">10 1 10</span> ||= 475.472 ||= 950.943 ||= 226.415 ||= 701.887 ||= <span style="display: block; text-align: center;">Vulture/Buzzard is around here</span> ||
|| 19\48 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">9 1 9</span> ||= 475 ||= 950 ||= 225 ||= 700 ||=   ||
|| 17\43 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">8 1 8</span> ||= 474.419 ||= 948.837 ||= 223.256 ||= 697.674 ||=   ||
|| 15\38 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">7 1 7</span> ||= 473.684 ||= 947.368 ||= 221.053 ||= 694.737 ||=   ||
|| 13\33 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">6 1 6</span> ||= 472.727 ||= 945.455 ||= 218.181 ||= 690.909 ||=   ||
|| 11\28 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">5 1 5</span> ||= 471.429 ||= 942.857 ||= 214.286 ||= 685.714 ||=   ||
|| 9\23 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">4 1 4</span> ||= 469.565 ||= 939.130 ||= 208.696 ||= 678.261 ||= <span style="display: block; text-align: center;">L/s = 4</span> ||
||   ||   ||   ||   ||   ||   ||   ||   ||= pi 1 pi ||= 467.171 ||= 934.3425 ||= 201.514 ||= 668.685 ||= <span style="display: block; text-align: center;">L/s = pi</span> ||
|| 7\18 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">3 1 3</span> ||= 466.667 ||= 933.333 ||= 200.000 ||= 666.667 ||= <span style="display: block; text-align: center;">L/s = 3</span> ||
||   ||   ||   ||   ||   ||   ||   ||   ||= e 1 e ||= 465.535 ||= 931.069 ||= 196.604 ||= 662.139 ||= <span style="display: block; text-align: center;">L/s = e</span> ||
||   || 12\31 ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">5 2 5</span> ||= 464.516 ||= 929.032 ||= 193.549 ||= 658.065 ||=   ||
|| 5\13 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">2 1 2</span> ||= 461.538 ||= 923.077 ||= 184.615 ||= 646.154 ||=   ||
||   || 13\34 ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">5 3 5</span> ||= 458.824 ||= 917.647 ||= 176.471 ||= 635.294 ||=   ||
||   ||   ||   || 34\89 ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">13 8 13</span> ||= 458.427 ||= 916.854 ||= 175.281 ||= 633.708 ||=   ||
||   ||   ||   ||   ||   || 89\233 ||   ||   ||= <span style="display: block; text-align: center;">34 21 34</span> ||= <span style="line-height: 15.6000003814697px;">458.369</span> ||= <span style="display: block; text-align: center;">916.738</span> ||= 175.107 ||= <span style="line-height: 15.6000003814697px;">633.473</span> ||=   ||
||   ||   ||   ||   ||   ||   ||   || 233\610 ||= <span style="display: block; text-align: center;">89 55 89</span> ||= 458.361 ||= 916.721 ||= 175.082 ||= 633.443 ||= <span style="display: block; text-align: center;">Golden father</span> ||
||   ||   ||   ||   ||   ||   || 144\377 ||   ||= <span style="display: block; text-align: center;">55 34 55</span> ||= 458.355 ||= 916.711 ||= 175.066 ||= 633.422 ||=   ||
||   ||   ||   ||   || 55\144 ||   ||   ||   ||= <span style="display: block; text-align: center;">21 13 21</span> ||= 458.333 ||= 916.666 ||= 175 ||= 633.333 ||=   ||
||   ||   || 21\55 ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">8 5 8</span> ||= 458.182 ||= 916.364 ||= 174.545 ||= 632.727 ||=   ||
|| 8\21 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">3 2 3</span> ||= 457.143 ||= 914.286 ||= 171.429 ||= 628.571 ||= <span style="display: block; text-align: center;">Optimum rank range (L/s=3/2) father</span> ||
|| 11\29 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">4 3 4</span> ||= 455.172 ||= 910.345 ||= 165.517 ||= 620.690 ||=   ||
|| 14\37 ||   ||   ||   ||   ||   ||   ||   ||= 5 4 5 ||= 454.054 ||= 908.108 ||= 162.162 ||= 616.216 ||   ||
|| 17\45 ||   ||   ||   ||   ||   ||   ||   ||= 6 5 6 ||= 453.333 ||= 906.667 ||= 160 ||= 613.333 ||   ||
|| 20\53 ||   ||   ||   ||   ||   ||   ||   ||= 7 6 7 ||= 452.83 ||= 905.66 ||= 158.491 ||= 611.321 ||   ||
|| 23\61 ||   ||   ||   ||   ||   ||   ||   ||= 8 7 8 ||= 452.459 ||= 904.918 ||= 157.377 ||= 609.836 ||   ||
|| 26\69 ||   ||   ||   ||   ||   ||   ||   ||= 9 8 9 ||= 452.174 ||= 904.348 ||= 156.522 ||= 608.696 ||   ||
|| 29\77 ||   ||   ||   ||   ||   ||   ||   ||= 10 9 10 ||= 451.948 ||= 903.896 ||= 155.844 ||= 607.792 ||   ||
|| 3\8 ||   ||   ||   ||   ||   ||   ||   ||= <span style="display: block; text-align: center;">1 1 1</span> ||= 450.000 ||= 900.000 ||= 150.000 ||= 600.000 ||=   ||
The only notable harmonic entropy minimum is Vulture/[[Hemifamity temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.

Original HTML content:

<html><head><title>5L 3s</title></head><body>5L 3s refers to the structure of moment of symmetry scales with generators ranging from 2\5 (two degrees of <a class="wiki_link" href="/5edo">5edo</a> = 480¢) to 3\8 (three degrees of <a class="wiki_link" href="/8edo">8edo</a> = 450¢). In the case of 8edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's). The spectrum looks like this:<br />


<table class="wiki_table">
    <tr>
        <th colspan="8">generator<br />
</th>
        <th><span style="display: block; text-align: center;">tetrachord</span><br />
</th>
        <th><span style="display: block; text-align: center;">g in cents</span><br />
</th>
        <th><span style="display: block; text-align: center;">2g</span><br />
</th>
        <th><span style="display: block; text-align: center;">3g</span><br />
</th>
        <th><span style="display: block; text-align: center;">4g</span><br />
</th>
        <th><span style="display: block; text-align: center;">Comments</span><br />
</th>
    </tr>
    <tr>
        <td>2\5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">1 0 1</span><br />
</td>
        <td style="text-align: center;">480.000<br />
</td>
        <td style="text-align: center;">960.000<br />
</td>
        <td style="text-align: center;">240.00<br />
</td>
        <td style="text-align: center;"><span style="line-height: 15.6000003814697px;">720.000</span><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>21\53<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">10 1 10</span><br />
</td>
        <td style="text-align: center;">475.472<br />
</td>
        <td style="text-align: center;">950.943<br />
</td>
        <td style="text-align: center;">226.415<br />
</td>
        <td style="text-align: center;">701.887<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Vulture/Buzzard is around here</span><br />
</td>
    </tr>
    <tr>
        <td>19\48<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">9 1 9</span><br />
</td>
        <td style="text-align: center;">475<br />
</td>
        <td style="text-align: center;">950<br />
</td>
        <td style="text-align: center;">225<br />
</td>
        <td style="text-align: center;">700<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>17\43<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">8 1 8</span><br />
</td>
        <td style="text-align: center;">474.419<br />
</td>
        <td style="text-align: center;">948.837<br />
</td>
        <td style="text-align: center;">223.256<br />
</td>
        <td style="text-align: center;">697.674<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>15\38<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">7 1 7</span><br />
</td>
        <td style="text-align: center;">473.684<br />
</td>
        <td style="text-align: center;">947.368<br />
</td>
        <td style="text-align: center;">221.053<br />
</td>
        <td style="text-align: center;">694.737<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>13\33<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">6 1 6</span><br />
</td>
        <td style="text-align: center;">472.727<br />
</td>
        <td style="text-align: center;">945.455<br />
</td>
        <td style="text-align: center;">218.181<br />
</td>
        <td style="text-align: center;">690.909<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>11\28<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">5 1 5</span><br />
</td>
        <td style="text-align: center;">471.429<br />
</td>
        <td style="text-align: center;">942.857<br />
</td>
        <td style="text-align: center;">214.286<br />
</td>
        <td style="text-align: center;">685.714<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>9\23<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">4 1 4</span><br />
</td>
        <td style="text-align: center;">469.565<br />
</td>
        <td style="text-align: center;">939.130<br />
</td>
        <td style="text-align: center;">208.696<br />
</td>
        <td style="text-align: center;">678.261<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 4</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">pi 1 pi<br />
</td>
        <td style="text-align: center;">467.171<br />
</td>
        <td style="text-align: center;">934.3425<br />
</td>
        <td style="text-align: center;">201.514<br />
</td>
        <td style="text-align: center;">668.685<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = pi</span><br />
</td>
    </tr>
    <tr>
        <td>7\18<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">3 1 3</span><br />
</td>
        <td style="text-align: center;">466.667<br />
</td>
        <td style="text-align: center;">933.333<br />
</td>
        <td style="text-align: center;">200.000<br />
</td>
        <td style="text-align: center;">666.667<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">e 1 e<br />
</td>
        <td style="text-align: center;">465.535<br />
</td>
        <td style="text-align: center;">931.069<br />
</td>
        <td style="text-align: center;">196.604<br />
</td>
        <td style="text-align: center;">662.139<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = e</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>12\31<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">5 2 5</span><br />
</td>
        <td style="text-align: center;">464.516<br />
</td>
        <td style="text-align: center;">929.032<br />
</td>
        <td style="text-align: center;">193.549<br />
</td>
        <td style="text-align: center;">658.065<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>5\13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">2 1 2</span><br />
</td>
        <td style="text-align: center;">461.538<br />
</td>
        <td style="text-align: center;">923.077<br />
</td>
        <td style="text-align: center;">184.615<br />
</td>
        <td style="text-align: center;">646.154<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>13\34<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">5 3 5</span><br />
</td>
        <td style="text-align: center;">458.824<br />
</td>
        <td style="text-align: center;">917.647<br />
</td>
        <td style="text-align: center;">176.471<br />
</td>
        <td style="text-align: center;">635.294<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>34\89<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">13 8 13</span><br />
</td>
        <td style="text-align: center;">458.427<br />
</td>
        <td style="text-align: center;">916.854<br />
</td>
        <td style="text-align: center;">175.281<br />
</td>
        <td style="text-align: center;">633.708<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>89\233<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">34 21 34</span><br />
</td>
        <td style="text-align: center;"><span style="line-height: 15.6000003814697px;">458.369</span><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">916.738</span><br />
</td>
        <td style="text-align: center;">175.107<br />
</td>
        <td style="text-align: center;"><span style="line-height: 15.6000003814697px;">633.473</span><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>233\610<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">89 55 89</span><br />
</td>
        <td style="text-align: center;">458.361<br />
</td>
        <td style="text-align: center;">916.721<br />
</td>
        <td style="text-align: center;">175.082<br />
</td>
        <td style="text-align: center;">633.443<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Golden father</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>144\377<br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">55 34 55</span><br />
</td>
        <td style="text-align: center;">458.355<br />
</td>
        <td style="text-align: center;">916.711<br />
</td>
        <td style="text-align: center;">175.066<br />
</td>
        <td style="text-align: center;">633.422<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>55\144<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">21 13 21</span><br />
</td>
        <td style="text-align: center;">458.333<br />
</td>
        <td style="text-align: center;">916.666<br />
</td>
        <td style="text-align: center;">175<br />
</td>
        <td style="text-align: center;">633.333<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>21\55<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">8 5 8</span><br />
</td>
        <td style="text-align: center;">458.182<br />
</td>
        <td style="text-align: center;">916.364<br />
</td>
        <td style="text-align: center;">174.545<br />
</td>
        <td style="text-align: center;">632.727<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>8\21<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">3 2 3</span><br />
</td>
        <td style="text-align: center;">457.143<br />
</td>
        <td style="text-align: center;">914.286<br />
</td>
        <td style="text-align: center;">171.429<br />
</td>
        <td style="text-align: center;">628.571<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Optimum rank range (L/s=3/2) father</span><br />
</td>
    </tr>
    <tr>
        <td>11\29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">4 3 4</span><br />
</td>
        <td style="text-align: center;">455.172<br />
</td>
        <td style="text-align: center;">910.345<br />
</td>
        <td style="text-align: center;">165.517<br />
</td>
        <td style="text-align: center;">620.690<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>14\37<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">5 4 5<br />
</td>
        <td style="text-align: center;">454.054<br />
</td>
        <td style="text-align: center;">908.108<br />
</td>
        <td style="text-align: center;">162.162<br />
</td>
        <td style="text-align: center;">616.216<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>17\45<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">6 5 6<br />
</td>
        <td style="text-align: center;">453.333<br />
</td>
        <td style="text-align: center;">906.667<br />
</td>
        <td style="text-align: center;">160<br />
</td>
        <td style="text-align: center;">613.333<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>20\53<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">7 6 7<br />
</td>
        <td style="text-align: center;">452.83<br />
</td>
        <td style="text-align: center;">905.66<br />
</td>
        <td style="text-align: center;">158.491<br />
</td>
        <td style="text-align: center;">611.321<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>23\61<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">8 7 8<br />
</td>
        <td style="text-align: center;">452.459<br />
</td>
        <td style="text-align: center;">904.918<br />
</td>
        <td style="text-align: center;">157.377<br />
</td>
        <td style="text-align: center;">609.836<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>26\69<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">9 8 9<br />
</td>
        <td style="text-align: center;">452.174<br />
</td>
        <td style="text-align: center;">904.348<br />
</td>
        <td style="text-align: center;">156.522<br />
</td>
        <td style="text-align: center;">608.696<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>29\77<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;">10 9 10<br />
</td>
        <td style="text-align: center;">451.948<br />
</td>
        <td style="text-align: center;">903.896<br />
</td>
        <td style="text-align: center;">155.844<br />
</td>
        <td style="text-align: center;">607.792<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3\8<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">1 1 1</span><br />
</td>
        <td style="text-align: center;">450.000<br />
</td>
        <td style="text-align: center;">900.000<br />
</td>
        <td style="text-align: center;">150.000<br />
</td>
        <td style="text-align: center;">600.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

The only notable harmonic entropy minimum is Vulture/<a class="wiki_link" href="/Hemifamity%20temperaments">Buzzard</a>, in which four generators make a 3/1 (and three generators approximate an octave plus 8/7). The rest of this region is a kind of wasteland in terms of harmonious MOSes.</body></html>
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