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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | The ''58 equal temperament'', often abbreviated 58-tET, 58-EDO, or 58-ET, is the scale derived by dividing the [[Octave|octave]] into 58 equally-sized steps. Each step represents a frequency ratio of 20.69 cents. It tempers out 2048/2025, 126/125, 1728/1715, 144/143, 176/175, 896/891, 243/242, 5120/5103, 351/350, 364/363, 441/440, and 540/539, and is a strong system in the [[11-limit|11]], [[13-limit|13]] and [[17-limit|17-limit]]s. It is the smallest [[EDO|equal temperament]] which is [[consistent|consistent]] through the 17-limit, and is also the first et to map the entire 11-limit [[Tonality_diamond|tonality diamond]] to distinct scale steps, and hence the first et which can define a version of the famous 43-note [[Harry_Partch_related_scales|Genesis scale]] of [[Harry_Partch|Harry Partch]]. It supports [[Hemififths|hemififths]], [[Myna|myna]], [[Diaschismic|diaschismic]], [[Harry|harry]], [[Hemifamity_temperaments#Mystery|mystery]], [[Hemifamity_temperaments#Buzzard|buzzard]] and [[Starling_temperaments#Thuja|thuja]] [[Regular_Temperaments|temperament]]s, and supplies the [[Optimal_patent_val|optimal patent val]] for 7-, 11- and 13-limit diaschismic, 11- and 13-limit hemififths, 11- and 13-limit thuja, and 13-limit myna. It also supplies the optimal patent val for the 13-limit rank three temperaments [[Starling_family#Thrush|thrush]], [[Starling_family#Thrush-Bluebird|bluebird]], [[Starling_family#Aplonis|aplonis]] and [[Breed_family#Jove, aka Wonder-Jofur|jofur]]. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:manuphonic|manuphonic]] and made on <tt>2015-12-10 14:38:58 UTC</tt>.<br>
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| : The original revision id was <tt>569765105</tt>.<br>
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| : 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">The //58 equal temperament//, often abbreviated 58-tET, 58-EDO, or 58-ET, is the scale derived by dividing the [[octave]] into 58 equally-sized steps. Each step represents a frequency ratio of 20.69 cents. It tempers out 2048/2025, 126/125, 1728/1715, 144/143, 176/175, 896/891, 243/242, 5120/5103, 351/350, 364/363, 441/440, and 540/539, and is a strong system in the [[11-limit|11]], [[13-limit|13]] and [[17-limit]]s. It is the smallest [[edo|equal temperament]] which is [[consistent]] through the 17-limit, and is also the first et to map the entire 11-limit [[tonality diamond]] to distinct scale steps, and hence the first et which can define a version of the famous 43-note [[Harry Partch related scales|Genesis scale]] of [[Harry Partch]]. It supports [[hemififths]], [[myna]], [[diaschismic]], [[harry]], [[Hemifamity temperaments#Mystery|mystery]], [[Hemifamity temperaments#Buzzard|buzzard]] and [[Starling temperaments#Thuja|thuja]] [[Regular Temperaments|temperament]]s, and supplies the [[optimal patent val]] for 7-, 11- and 13-limit diaschismic, 11- and 13-limit hemififths, 11- and 13-limit thuja, and 13-limit myna. It also supplies the optimal patent val for the 13-limit rank three temperaments [[Starling family#Thrush|thrush]], [[Starling family#Thrush-Bluebird|bluebird]], [[Starling family#Aplonis|aplonis]] and [[Breed family#Jove,%20aka%20Wonder-Jofur|jofur]].
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| While the 17th harmonic is a cent and a half cent flat, the harmonics below it are all a little sharp, giving it the sound of a sharp system. 58 = 2*29, and 58 shares the same excellent fifth with [[29edo]]. | | While the 17th harmonic is a cent and a half cent flat, the harmonics below it are all a little sharp, giving it the sound of a sharp system. 58 = 2*29, and 58 shares the same excellent fifth with [[29edo|29edo]]. |
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| =Scales= | | =Scales= |
| [[hemif7]] | | [[hemif7|hemif7]] |
| [[hemif10]]
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| [[hemif17]]
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|
| |
|
| ==Intervals==
| | [[hemif10|hemif10]] |
| || degree of 58edo || cents value || ratios ||
| |
| || 0 || 0.00 || 1/1 ||
| |
| || 1 || 20.69 || 56/55, 64/63, 81/80, 128/125 ||
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| || 2 || 41.38 || 36/35, 49/48, 50/49, 55/54 ||
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| || 3 || 62.07 || 25/24, 26/25, 27/26, 28/27, 33/32 ||
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| || 4 || 82.76 || 21/20, 22/21 ||
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| || 5 || 103.45 || 16/15, 17/16, 18/17 ||
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| || 6 || 124.14 || 14/13, 15/14, 27/25 ||
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| || 7 || 144.83 || 12/11, 13/12 ||
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| || 8 || 165.52 || 11/10 ||
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| || 9 || 186.21 || 10/9 ||
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| || 10 || 206.9 || 9/8, 17/15 ||
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| || 11 || 227.59 || 8/7 ||
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| || 12 || 248.28 || 15/13 ||
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| || 13 || 268.97 || 7/6 ||
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| || 14 || 289.66 || 13/11, 20/17 ||
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| || 15 || 310.34 || 6/5 ||
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| || 16 || 331.03 || 17/14 ||
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| || 17 || 351.72 || 11/9, 16/13 ||
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| || 18 || 372.41 || 21/17 ||
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| || 19 || 393.1 || 5/4 ||
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| || 20 || 413.79 || 14/11 ||
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| || 21 || 434.48 || 9/7 ||
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| || 22 || 455.17 || 13/10, 17/13, 22/17 ||
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| || 23 || 475.86 || 21/16 ||
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| || 24 || 496.55 || 4/3 ||
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| || 25 || 517.24 || 27/20 ||
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| || 26 || 537.93 || 15/11 ||
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| || 27 || 558.62 || 11/8, 18/13 ||
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| || 28 || 579.31 || 7/5 ||
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| || 29 || 600 || 17/12, 24/17 ||
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| || 30 || 620.69 || 10/7 ||
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| || 31 || 641.38 || 13/9, 16/11 ||
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| || 32 || 662.07 || 22/15 ||
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| || 33 || 682.76 || 40/27 ||
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| || 34 || 703.45 || 3/2 ||
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| || 35 || 724.14 || 32/21 ||
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| || 36 || 744.83 || 20/13, 26/17, 17/11 ||
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| || 37 || 765.52 || 14/9 ||
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| || 38 || 786.21 || 11/7 ||
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| || 39 || 806.9 || 8/5 ||
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| || 40 || 827.59 || 34/21 ||
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| || 41 || 848.28 || 13/8, 18/11 ||
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| || 42 || 868.97 || 28/17 ||
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| || 43 || 889.66 || 5/3 ||
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| || 44 || 910.34 || 22/13, 17/10 ||
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| || 45 || 931.03 || 12/7 ||
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| || 46 || 951.72 || 26/15 ||
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| || 47 || 972.41 || 7/4 ||
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| || 48 || 993.1 || 16/9 ||
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| || 49 || 1013.79 || 9/5 ||
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| || 50 || 1034.48 || 20/11 ||
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| || 51 || 1055.17 || 11/6, 24/13 ||
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| || 52 || 1075.86 || 13/7, 28/15 ||
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| || 53 || 1096.55 || 15/8, 32/17, 17/9 ||
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| || 54 || 1117.24 || 40/21, 21/11 ||
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| || 55 || 1137.93 || ||
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| || 56 || 1158.62 || ||
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| || 57 || 1179.31 || ||
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| ==Rank two temperaments==
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| ||~ Period ||~ Generator ||~ Name ||
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| || 1\1 || 1\58 || ||
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| || || 3\58 || ||
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| || || 5\58 || ||
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| || || 7\58 || ||
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| || || 9\58 || ||
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| || || 11\58 || Gorgik ||
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| || || 13\58 || ||
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| || || 15\58 || Myna ||
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| || || 17\58 || Hemififths ||
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| || || 19\58 || ||
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| || || 21\58 || ||
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| || || 23\58 || Buzzard ||
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| || || 25\58 || ||
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| || || 27\58 || Thuja ||
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| || 1\2 || 1\58 || ||
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| || || 2\58 || ||
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| || || 3\58 || ||
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| || || 4\58 || Harry ||
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| || || 5\58 || Srutal/Diaschismic ||
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| || || 6\58 || ||
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| || || 7\58 || ||
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| || || 8\58 || Echidna, Supers ||
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| || || 9\58 || Secant ||
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| || || 10\58 || ||
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| || || 11\58 || ||
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| || || 12\58 || Sruti ||
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| || || 13\58 || ||
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| || || 14\58 || ||
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| || 1\29 || 1\58 || Mystery ||</pre></div>
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| <h4>Original HTML content:</h4>
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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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>58edo</title></head><body>The <em>58 equal temperament</em>, often abbreviated 58-tET, 58-EDO, or 58-ET, is the scale derived by dividing the <a class="wiki_link" href="/octave">octave</a> into 58 equally-sized steps. Each step represents a frequency ratio of 20.69 cents. It tempers out 2048/2025, 126/125, 1728/1715, 144/143, 176/175, 896/891, 243/242, 5120/5103, 351/350, 364/363, 441/440, and 540/539, and is a strong system in the <a class="wiki_link" href="/11-limit">11</a>, <a class="wiki_link" href="/13-limit">13</a> and <a class="wiki_link" href="/17-limit">17-limit</a>s. It is the smallest <a class="wiki_link" href="/edo">equal temperament</a> which is <a class="wiki_link" href="/consistent">consistent</a> through the 17-limit, and is also the first et to map the entire 11-limit <a class="wiki_link" href="/tonality%20diamond">tonality diamond</a> to distinct scale steps, and hence the first et which can define a version of the famous 43-note <a class="wiki_link" href="/Harry%20Partch%20related%20scales">Genesis scale</a> of <a class="wiki_link" href="/Harry%20Partch">Harry Partch</a>. It supports <a class="wiki_link" href="/hemififths">hemififths</a>, <a class="wiki_link" href="/myna">myna</a>, <a class="wiki_link" href="/diaschismic">diaschismic</a>, <a class="wiki_link" href="/harry">harry</a>, <a class="wiki_link" href="/Hemifamity%20temperaments#Mystery">mystery</a>, <a class="wiki_link" href="/Hemifamity%20temperaments#Buzzard">buzzard</a> and <a class="wiki_link" href="/Starling%20temperaments#Thuja">thuja</a> <a class="wiki_link" href="/Regular%20Temperaments">temperament</a>s, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 7-, 11- and 13-limit diaschismic, 11- and 13-limit hemififths, 11- and 13-limit thuja, and 13-limit myna. It also supplies the optimal patent val for the 13-limit rank three temperaments <a class="wiki_link" href="/Starling%20family#Thrush">thrush</a>, <a class="wiki_link" href="/Starling%20family#Thrush-Bluebird">bluebird</a>, <a class="wiki_link" href="/Starling%20family#Aplonis">aplonis</a> and <a class="wiki_link" href="/Breed%20family#Jove,%20aka%20Wonder-Jofur">jofur</a>.<br />
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| <br />
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| While the 17th harmonic is a cent and a half cent flat, the harmonics below it are all a little sharp, giving it the sound of a sharp system. 58 = 2*29, and 58 shares the same excellent fifth with <a class="wiki_link" href="/29edo">29edo</a>.<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1>
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| <a class="wiki_link" href="/hemif7">hemif7</a><br />
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| <a class="wiki_link" href="/hemif10">hemif10</a><br />
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| <a class="wiki_link" href="/hemif17">hemif17</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Scales-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2>
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|
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|
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|
| <table class="wiki_table">
| | [[hemif17|hemif17]] |
| <tr>
| |
| <td>degree of 58edo<br />
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| </td>
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| <td>cents value<br />
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| </td>
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| <td>ratios<br />
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| </td>
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| </tr>
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| <tr>
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| <td>0<br />
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| </td>
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| <td>0.00<br />
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| </td>
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| <td>1/1<br />
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| </td>
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| </tr>
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| <tr>
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| <td>1<br />
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| </td>
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| <td>20.69<br />
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| </td>
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| <td>56/55, 64/63, 81/80, 128/125<br />
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| </td>
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| </tr>
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| <tr>
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| <td>2<br />
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| </td>
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| <td>41.38<br />
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| </td>
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| <td>36/35, 49/48, 50/49, 55/54<br />
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| </td>
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| </tr>
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| <tr>
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| <td>3<br />
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| </td>
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| <td>62.07<br />
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| </td>
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| <td>25/24, 26/25, 27/26, 28/27, 33/32<br />
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| </td>
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| </tr>
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| <tr>
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| <td>4<br />
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| </td>
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| <td>82.76<br />
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| </td>
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| <td>21/20, 22/21<br />
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| </td>
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| </tr>
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| <tr>
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| <td>5<br />
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| </td>
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| <td>103.45<br />
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| </td>
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| <td>16/15, 17/16, 18/17<br />
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| </td>
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| </tr>
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| <tr>
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| <td>6<br />
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| </td>
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| <td>124.14<br />
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| </td>
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| <td>14/13, 15/14, 27/25<br />
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| </td>
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| </tr>
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| <tr>
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| <td>7<br />
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| </td>
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| <td>144.83<br />
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| </td>
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| <td>12/11, 13/12<br />
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| </td>
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| </tr>
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| <tr>
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| <td>8<br />
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| </td>
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| <td>165.52<br />
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| </td>
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| <td>11/10<br />
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| </td>
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| </tr>
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| <tr>
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| <td>9<br />
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| </td>
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| <td>186.21<br />
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| </td>
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| <td>10/9<br />
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| </td>
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| </tr>
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| <tr>
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| <td>10<br />
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| </td>
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| <td>206.9<br />
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| </td>
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| <td>9/8, 17/15<br />
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| </td>
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| </tr>
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| <tr>
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| <td>11<br />
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| </td>
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| <td>227.59<br />
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| </td>
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| <td>8/7<br />
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| </td>
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| </tr>
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| <tr>
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| <td>12<br />
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| </td>
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| <td>248.28<br />
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| </td>
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| <td>15/13<br />
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| </td>
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| </tr>
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| <tr>
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| <td>13<br />
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| </td>
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| <td>268.97<br />
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| </td>
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| <td>7/6<br />
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| </td>
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| </tr>
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| <tr>
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| <td>14<br />
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| </td>
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| <td>289.66<br />
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| </td>
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| <td>13/11, 20/17<br />
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| </td>
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| </tr>
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| <tr>
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| <td>15<br />
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| </td>
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| <td>310.34<br />
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| </td>
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| <td>6/5<br />
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| </td>
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| </tr>
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| <tr>
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| <td>16<br />
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| </td>
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| <td>331.03<br />
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| </td>
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| <td>17/14<br />
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| </td>
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| </tr>
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| <tr>
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| <td>17<br />
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| </td>
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| <td>351.72<br />
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| </td>
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| <td>11/9, 16/13<br />
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| </td>
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| </tr>
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| <tr>
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| <td>18<br />
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| </td>
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| <td>372.41<br />
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| </td>
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| <td>21/17<br />
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| </td>
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| </tr>
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| <tr>
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| <td>19<br />
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| </td>
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| <td>393.1<br />
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| </td>
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| <td>5/4<br />
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| </td>
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| </tr>
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| <tr>
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| <td>20<br />
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| </td>
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| <td>413.79<br />
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| </td>
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| <td>14/11<br />
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| </td>
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| </tr>
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| <tr>
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| <td>21<br />
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| </td>
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| <td>434.48<br />
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| </td>
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| <td>9/7<br />
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| </td>
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| </tr>
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| <tr>
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| <td>22<br />
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| </td>
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| <td>455.17<br />
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| </td>
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| <td>13/10, 17/13, 22/17<br />
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| </td>
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| </tr>
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| <tr>
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| <td>23<br />
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| </td>
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| <td>475.86<br />
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| </td>
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| <td>21/16<br />
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| </td>
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| </tr>
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| <tr>
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| <td>24<br />
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| </td>
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| <td>496.55<br />
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| </td>
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| <td>4/3<br />
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| </td>
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| </tr>
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| <tr>
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| <td>25<br />
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| </td>
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| <td>517.24<br />
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| </td>
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| <td>27/20<br />
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| </td>
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| </tr>
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| <tr>
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| <td>26<br />
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| </td>
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| <td>537.93<br />
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| </td>
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| <td>15/11<br />
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| </td>
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| </tr>
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| <tr>
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| <td>27<br />
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| </td>
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| <td>558.62<br />
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| </td>
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| <td>11/8, 18/13<br />
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| </td>
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| </tr>
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| <tr>
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| <td>28<br />
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| </td>
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| <td>579.31<br />
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| </td>
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| <td>7/5<br />
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| </td>
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| </tr>
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| <tr>
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| <td>29<br />
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| </td>
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| <td>600<br />
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| </td>
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| <td>17/12, 24/17<br />
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| </td>
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| </tr>
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| <tr>
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| <td>30<br />
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| </td>
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| <td>620.69<br />
| |
| </td>
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| <td>10/7<br />
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| </td>
| |
| </tr>
| |
| <tr>
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| <td>31<br />
| |
| </td>
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| <td>641.38<br />
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| </td>
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| <td>13/9, 16/11<br />
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| </td>
| |
| </tr>
| |
| <tr>
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| <td>32<br />
| |
| </td>
| |
| <td>662.07<br />
| |
| </td>
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| <td>22/15<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>33<br />
| |
| </td>
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| <td>682.76<br />
| |
| </td>
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| <td>40/27<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>34<br />
| |
| </td>
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| <td>703.45<br />
| |
| </td>
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| <td>3/2<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>35<br />
| |
| </td>
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| <td>724.14<br />
| |
| </td>
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| <td>32/21<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>744.83<br />
| |
| </td>
| |
| <td>20/13, 26/17, 17/11<br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>765.52<br />
| |
| </td>
| |
| <td>14/9<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>786.21<br />
| |
| </td>
| |
| <td>11/7<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>806.9<br />
| |
| </td>
| |
| <td>8/5<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>40<br />
| |
| </td>
| |
| <td>827.59<br />
| |
| </td>
| |
| <td>34/21<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41<br />
| |
| </td>
| |
| <td>848.28<br />
| |
| </td>
| |
| <td>13/8, 18/11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>42<br />
| |
| </td>
| |
| <td>868.97<br />
| |
| </td>
| |
| <td>28/17<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43<br />
| |
| </td>
| |
| <td>889.66<br />
| |
| </td>
| |
| <td>5/3<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>44<br />
| |
| </td>
| |
| <td>910.34<br />
| |
| </td>
| |
| <td>22/13, 17/10<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>931.03<br />
| |
| </td>
| |
| <td>12/7<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>46<br />
| |
| </td>
| |
| <td>951.72<br />
| |
| </td>
| |
| <td>26/15<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47<br />
| |
| </td>
| |
| <td>972.41<br />
| |
| </td>
| |
| <td>7/4<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>48<br />
| |
| </td>
| |
| <td>993.1<br />
| |
| </td>
| |
| <td>16/9<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>1013.79<br />
| |
| </td>
| |
| <td>9/5<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>1034.48<br />
| |
| </td>
| |
| <td>20/11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>1055.17<br />
| |
| </td>
| |
| <td>11/6, 24/13<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>1075.86<br />
| |
| </td>
| |
| <td>13/7, 28/15<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>1096.55<br />
| |
| </td>
| |
| <td>15/8, 32/17, 17/9<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>1117.24<br />
| |
| </td>
| |
| <td>40/21, 21/11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>1137.93<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>1158.62<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>1179.31<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Scales-Rank two temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->Rank two temperaments</h2>
| | ==Intervals== |
|
| |
|
| |
|
| <table class="wiki_table">
| | {| class="wikitable" |
| <tr>
| | |- |
| <th>Period<br />
| | | | degree of 58edo |
| </th>
| | | | cents value |
| <th>Generator<br />
| | | | ratios |
| </th>
| | |- |
| <th>Name<br />
| | | | 0 |
| </th>
| | | | 0.00 |
| </tr>
| | | | 1/1 |
| <tr>
| | |- |
| <td>1\1<br />
| | | | 1 |
| </td>
| | | | 20.69 |
| <td>1\58<br />
| | | | 56/55, 64/63, 81/80, 128/125 |
| </td>
| | |- |
| <td><br />
| | | | 2 |
| </td>
| | | | 41.38 |
| </tr>
| | | | 36/35, 49/48, 50/49, 55/54 |
| <tr>
| | |- |
| <td><br />
| | | | 3 |
| </td>
| | | | 62.07 |
| <td>3\58<br />
| | | | 25/24, 26/25, 27/26, 28/27, 33/32 |
| </td>
| | |- |
| <td><br />
| | | | 4 |
| </td>
| | | | 82.76 |
| </tr>
| | | | 21/20, 22/21 |
| <tr>
| | |- |
| <td><br />
| | | | 5 |
| </td>
| | | | 103.45 |
| <td>5\58<br />
| | | | 16/15, 17/16, 18/17 |
| </td>
| | |- |
| <td><br />
| | | | 6 |
| </td>
| | | | 124.14 |
| </tr>
| | | | 14/13, 15/14, 27/25 |
| <tr>
| | |- |
| <td><br />
| | | | 7 |
| </td>
| | | | 144.83 |
| <td>7\58<br />
| | | | 12/11, 13/12 |
| </td>
| | |- |
| <td><br />
| | | | 8 |
| </td>
| | | | 165.52 |
| </tr>
| | | | 11/10 |
| <tr>
| | |- |
| <td><br />
| | | | 9 |
| </td>
| | | | 186.21 |
| <td>9\58<br />
| | | | 10/9 |
| </td>
| | |- |
| <td><br />
| | | | 10 |
| </td>
| | | | 206.9 |
| </tr>
| | | | 9/8, 17/15 |
| <tr>
| | |- |
| <td><br />
| | | | 11 |
| </td>
| | | | 227.59 |
| <td>11\58<br />
| | | | 8/7 |
| </td>
| | |- |
| <td>Gorgik<br />
| | | | 12 |
| </td>
| | | | 248.28 |
| </tr>
| | | | 15/13 |
| <tr>
| | |- |
| <td><br />
| | | | 13 |
| </td>
| | | | 268.97 |
| <td>13\58<br />
| | | | 7/6 |
| </td>
| | |- |
| <td><br />
| | | | 14 |
| </td>
| | | | 289.66 |
| </tr>
| | | | 13/11, 20/17 |
| <tr>
| | |- |
| <td><br />
| | | | 15 |
| </td>
| | | | 310.34 |
| <td>15\58<br />
| | | | 6/5 |
| </td>
| | |- |
| <td>Myna<br />
| | | | 16 |
| </td>
| | | | 331.03 |
| </tr>
| | | | 17/14 |
| <tr>
| | |- |
| <td><br />
| | | | 17 |
| </td>
| | | | 351.72 |
| <td>17\58<br />
| | | | 11/9, 16/13 |
| </td>
| | |- |
| <td>Hemififths<br />
| | | | 18 |
| </td>
| | | | 372.41 |
| </tr>
| | | | 21/17 |
| <tr>
| | |- |
| <td><br />
| | | | 19 |
| </td>
| | | | 393.1 |
| <td>19\58<br />
| | | | 5/4 |
| </td>
| | |- |
| <td><br />
| | | | 20 |
| </td>
| | | | 413.79 |
| </tr>
| | | | 14/11 |
| <tr>
| | |- |
| <td><br />
| | | | 21 |
| </td>
| | | | 434.48 |
| <td>21\58<br />
| | | | 9/7 |
| </td>
| | |- |
| <td><br />
| | | | 22 |
| </td>
| | | | 455.17 |
| </tr>
| | | | 13/10, 17/13, 22/17 |
| <tr>
| | |- |
| <td><br />
| | | | 23 |
| </td>
| | | | 475.86 |
| <td>23\58<br />
| | | | 21/16 |
| </td>
| | |- |
| <td>Buzzard<br />
| | | | 24 |
| </td>
| | | | 496.55 |
| </tr>
| | | | 4/3 |
| <tr>
| | |- |
| <td><br />
| | | | 25 |
| </td>
| | | | 517.24 |
| <td>25\58<br />
| | | | 27/20 |
| </td>
| | |- |
| <td><br />
| | | | 26 |
| </td>
| | | | 537.93 |
| </tr>
| | | | 15/11 |
| <tr>
| | |- |
| <td><br />
| | | | 27 |
| </td>
| | | | 558.62 |
| <td>27\58<br />
| | | | 11/8, 18/13 |
| </td>
| | |- |
| <td>Thuja<br />
| | | | 28 |
| </td>
| | | | 579.31 |
| </tr>
| | | | 7/5 |
| <tr>
| | |- |
| <td>1\2<br />
| | | | 29 |
| </td>
| | | | 600 |
| <td>1\58<br />
| | | | 17/12, 24/17 |
| </td>
| | |- |
| <td><br />
| | | | 30 |
| </td>
| | | | 620.69 |
| </tr>
| | | | 10/7 |
| <tr>
| | |- |
| <td><br />
| | | | 31 |
| </td>
| | | | 641.38 |
| <td>2\58<br />
| | | | 13/9, 16/11 |
| </td>
| | |- |
| <td><br />
| | | | 32 |
| </td>
| | | | 662.07 |
| </tr>
| | | | 22/15 |
| <tr>
| | |- |
| <td><br />
| | | | 33 |
| </td>
| | | | 682.76 |
| <td>3\58<br />
| | | | 40/27 |
| </td>
| | |- |
| <td><br />
| | | | 34 |
| </td>
| | | | 703.45 |
| </tr>
| | | | 3/2 |
| <tr>
| | |- |
| <td><br />
| | | | 35 |
| </td>
| | | | 724.14 |
| <td>4\58<br />
| | | | 32/21 |
| </td>
| | |- |
| <td>Harry<br />
| | | | 36 |
| </td>
| | | | 744.83 |
| </tr>
| | | | 20/13, 26/17, 17/11 |
| <tr>
| | |- |
| <td><br />
| | | | 37 |
| </td>
| | | | 765.52 |
| <td>5\58<br />
| | | | 14/9 |
| </td>
| | |- |
| <td>Srutal/Diaschismic<br />
| | | | 38 |
| </td>
| | | | 786.21 |
| </tr>
| | | | 11/7 |
| <tr>
| | |- |
| <td><br />
| | | | 39 |
| </td>
| | | | 806.9 |
| <td>6\58<br />
| | | | 8/5 |
| </td>
| | |- |
| <td><br />
| | | | 40 |
| </td>
| | | | 827.59 |
| </tr>
| | | | 34/21 |
| <tr>
| | |- |
| <td><br />
| | | | 41 |
| </td>
| | | | 848.28 |
| <td>7\58<br />
| | | | 13/8, 18/11 |
| </td>
| | |- |
| <td><br />
| | | | 42 |
| </td>
| | | | 868.97 |
| </tr>
| | | | 28/17 |
| <tr>
| | |- |
| <td><br />
| | | | 43 |
| </td>
| | | | 889.66 |
| <td>8\58<br />
| | | | 5/3 |
| </td>
| | |- |
| <td>Echidna, Supers<br />
| | | | 44 |
| </td>
| | | | 910.34 |
| </tr>
| | | | 22/13, 17/10 |
| <tr>
| | |- |
| <td><br />
| | | | 45 |
| </td>
| | | | 931.03 |
| <td>9\58<br />
| | | | 12/7 |
| </td>
| | |- |
| <td>Secant<br />
| | | | 46 |
| </td>
| | | | 951.72 |
| </tr>
| | | | 26/15 |
| <tr>
| | |- |
| <td><br />
| | | | 47 |
| </td>
| | | | 972.41 |
| <td>10\58<br />
| | | | 7/4 |
| </td>
| | |- |
| <td><br />
| | | | 48 |
| </td>
| | | | 993.1 |
| </tr>
| | | | 16/9 |
| <tr>
| | |- |
| <td><br />
| | | | 49 |
| </td>
| | | | 1013.79 |
| <td>11\58<br />
| | | | 9/5 |
| </td>
| | |- |
| <td><br />
| | | | 50 |
| </td>
| | | | 1034.48 |
| </tr>
| | | | 20/11 |
| <tr>
| | |- |
| <td><br />
| | | | 51 |
| </td>
| | | | 1055.17 |
| <td>12\58<br />
| | | | 11/6, 24/13 |
| </td>
| | |- |
| <td>Sruti<br />
| | | | 52 |
| </td>
| | | | 1075.86 |
| </tr>
| | | | 13/7, 28/15 |
| <tr>
| | |- |
| <td><br />
| | | | 53 |
| </td>
| | | | 1096.55 |
| <td>13\58<br />
| | | | 15/8, 32/17, 17/9 |
| </td>
| | |- |
| <td><br />
| | | | 54 |
| </td>
| | | | 1117.24 |
| </tr>
| | | | 40/21, 21/11 |
| <tr>
| | |- |
| <td><br />
| | | | 55 |
| </td>
| | | | 1137.93 |
| <td>14\58<br />
| | | | |
| </td>
| | |- |
| <td><br />
| | | | 56 |
| </td>
| | | | 1158.62 |
| </tr>
| | | | |
| <tr>
| | |- |
| <td>1\29<br />
| | | | 57 |
| </td>
| | | | 1179.31 |
| <td>1\58<br />
| | | | |
| </td>
| | |} |
| <td>Mystery<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | ==Rank two temperaments== |
| | |
| | {| class="wikitable" |
| | |- |
| | ! | Period |
| | ! | Generator |
| | ! | Name |
| | |- |
| | | | 1\1 |
| | | | 1\58 |
| | | | |
| | |- |
| | | | |
| | | | 3\58 |
| | | | |
| | |- |
| | | | |
| | | | 5\58 |
| | | | |
| | |- |
| | | | |
| | | | 7\58 |
| | | | |
| | |- |
| | | | |
| | | | 9\58 |
| | | | |
| | |- |
| | | | |
| | | | 11\58 |
| | | | Gorgik |
| | |- |
| | | | |
| | | | 13\58 |
| | | | |
| | |- |
| | | | |
| | | | 15\58 |
| | | | Myna |
| | |- |
| | | | |
| | | | 17\58 |
| | | | Hemififths |
| | |- |
| | | | |
| | | | 19\58 |
| | | | |
| | |- |
| | | | |
| | | | 21\58 |
| | | | |
| | |- |
| | | | |
| | | | 23\58 |
| | | | Buzzard |
| | |- |
| | | | |
| | | | 25\58 |
| | | | |
| | |- |
| | | | |
| | | | 27\58 |
| | | | Thuja |
| | |- |
| | | | 1\2 |
| | | | 1\58 |
| | | | |
| | |- |
| | | | |
| | | | 2\58 |
| | | | |
| | |- |
| | | | |
| | | | 3\58 |
| | | | |
| | |- |
| | | | |
| | | | 4\58 |
| | | | Harry |
| | |- |
| | | | |
| | | | 5\58 |
| | | | Srutal/Diaschismic |
| | |- |
| | | | |
| | | | 6\58 |
| | | | |
| | |- |
| | | | |
| | | | 7\58 |
| | | | |
| | |- |
| | | | |
| | | | 8\58 |
| | | | Echidna, Supers |
| | |- |
| | | | |
| | | | 9\58 |
| | | | Secant |
| | |- |
| | | | |
| | | | 10\58 |
| | | | |
| | |- |
| | | | |
| | | | 11\58 |
| | | | |
| | |- |
| | | | |
| | | | 12\58 |
| | | | Sruti |
| | |- |
| | | | |
| | | | 13\58 |
| | | | |
| | |- |
| | | | |
| | | | 14\58 |
| | | | |
| | |- |
| | | | 1\29 |
| | | | 1\58 |
| | | | Mystery |
| | |} |
| | [[Category:58edo]] |
| | [[Category:buzzard]] |
| | [[Category:diaschismic]] |
| | [[Category:edo]] |
| | [[Category:genesis]] |
| | [[Category:harry]] |
| | [[Category:hemififths]] |
| | [[Category:myna]] |
| | [[Category:mystery]] |
| | [[Category:partch]] |