Purdal: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The '''purdal''' is a [[unit of interval size]] equal to one step of [[9900edo]]. It was suggested by [[Osmiorisbendi]].
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2013-06-12 08:38:42 UTC</tt>.<br>
: The original revision id was <tt>437743050</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">&lt;span style="font-size: 13px; line-height: 1.5;"&gt; The &lt;/span&gt;**&lt;span style="font-size: 13px; line-height: 1.5;"&gt;purdal&lt;/span&gt;**&lt;span style="font-size: 13px; line-height: 1.5;"&gt; is a unit of [[interval size measure|measure for musical intervals]], &lt;/span&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;suggested by [[xenharmonic/Tútim Dennsuul Wafiil|Tútim Dennsuul]], which is the [[purdal/Ditave|Ditave]] (2/1, the 'Octave') divided into &lt;/span&gt;**&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;9900 equal parts&lt;/span&gt;**&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;. The Purdals &lt;/span&gt;&lt;span class="hps" style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;are shown as a reliable and very consistent to idealize any musical system&lt;/span&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;, &lt;/span&gt;&lt;span class="hps" style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;whether just or temperate&lt;/span&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;.&lt;/span&gt;
&lt;span style="background-color: #ffffff;"&gt;The purpose that it have is for the need of precise with better quality in its presentation, those 'EDDs' &lt;/span&gt;&lt;span class="hps" style="background-color: #ffffff;"&gt;who have a quantity equal to a prime number of intervals and systems until 990 steps per Ditave, only requiring 2 decimals for a basic precision.&lt;/span&gt;&lt;span style="background-color: #ffffff;"&gt;The [[purdal/12-EDD|12-EDD]] contains 825 Purdals in each semitone; Each Purdal is equivalent to 4/33 of a Cent (0.121212121.. Cents).&lt;/span&gt;


&lt;span style="background-color: #ffffff;"&gt;The ditaved Purdal (9900) is divisible&lt;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt; by: 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300 &amp; 4950 exact parts.&lt;/span&gt;
[[Category:99edo]]
 
[[Category:9900edo]]
The Purdal's prime factorization is
[[Category:Interval size measures]]
[[math]]
9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11
[[math]]
 
A table with some harmonic ratios expressed in entire Purdals and its equivalence in Cents below:
|| **&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;Harmonic (until the 63º)&lt;/span&gt;** || **&lt;span style="color: #0000ff; font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;Purdal entire value&lt;/span&gt;** || **&lt;span style="color: #008080; font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;Cent equivalence&lt;/span&gt;** ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;2/1&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9900&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1200&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;3/2&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;5791&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;701.__93__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;5/4&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;3187&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;386.__30__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7/4&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7993&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;968.__84__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9/8&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1682&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;203.__87__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;11/8&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;4548&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;551.__27__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;13/8&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;6934&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;840.__48__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;15/8&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;8978&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1088.__24__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;17/16&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;866&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;104.__96__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;19/16&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;2454&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;297.__45__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;21/16&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;3884&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;470.__78__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;23/16&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;5183&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;628.__24__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;25/16&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;6374&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;772.__60__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;27/16&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7473&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;905.__81__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;29/16&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;8494&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1029.__57__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;31/16&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9447&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1145.__09__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;33/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;440&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;53.__27__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;35/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1280&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;155.__15__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;37/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;2074&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;251.__39__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;39/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;2825&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;342.__42__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;41/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;3540&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;429.__09__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;43/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;4220&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;511.__51__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;45/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;4869&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;590.__18__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;47/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;5490&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;665.__45__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;49/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;6086&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;737.__69__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;51/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;6657&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;806.__90__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;53/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7206&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;873.__45__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;55/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7735&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;937.__57__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;57/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;8246&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;999.__51__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;59/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;8738&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1059.__15__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;61/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9214&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1116.__84__&lt;/span&gt; ||
|| &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;63/32&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9675&lt;/span&gt; || &lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1172.__72__&lt;/span&gt; ||
==Links==
* [[purdal/purdal]] - where this article was initially copied from</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Purdal&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt; The &lt;/span&gt;&lt;strong&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt;purdal&lt;/span&gt;&lt;/strong&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt; is a unit of &lt;a class="wiki_link" href="/interval%20size%20measure"&gt;measure for musical intervals&lt;/a&gt;, &lt;/span&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;suggested by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/T%C3%BAtim%20Dennsuul%20Wafiil"&gt;Tútim Dennsuul&lt;/a&gt;, which is the &lt;a class="wiki_link" href="http://purdal.wikispaces.com/Ditave"&gt;Ditave&lt;/a&gt; (2/1, the 'Octave') divided into &lt;/span&gt;&lt;strong&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;9900 equal parts&lt;/span&gt;&lt;/strong&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;. The Purdals &lt;/span&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;" class="hps"&gt;are shown as a reliable and very consistent to idealize any musical system&lt;/span&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;, &lt;/span&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;" class="hps"&gt;whether just or temperate&lt;/span&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;The purpose that it have is for the need of precise with better quality in its presentation, those 'EDDs' &lt;/span&gt;&lt;span style="background-color: #ffffff;" class="hps"&gt;who have a quantity equal to a prime number of intervals and systems until 990 steps per Ditave, only requiring 2 decimals for a basic precision.&lt;/span&gt;&lt;span style="background-color: #ffffff;"&gt;The &lt;a class="wiki_link" href="http://purdal.wikispaces.com/12-EDD"&gt;12-EDD&lt;/a&gt; contains 825 Purdals in each semitone; Each Purdal is equivalent to 4/33 of a Cent (0.121212121.. Cents).&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;The ditaved Purdal (9900) is divisible&lt;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt; by: 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300 &amp;amp; 4950 exact parts.&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
The Purdal's prime factorization is&lt;br /&gt;
&lt;!-- ws:start:WikiTextMathRule:0:
[[math]]&amp;lt;br/&amp;gt;
9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11&amp;lt;br/&amp;gt;[[math]]
--&gt;&lt;script type="math/tex"&gt;9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:0 --&gt;&lt;br /&gt;
&lt;br /&gt;
A table with some harmonic ratios expressed in entire Purdals and its equivalence in Cents below:&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;Harmonic (until the 63º)&lt;/span&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;&lt;span style="color: #0000ff; font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;Purdal entire value&lt;/span&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;&lt;span style="color: #008080; font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;Cent equivalence&lt;/span&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;2/1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9900&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1200&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;3/2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;5791&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;701.&lt;u&gt;93&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;5/4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;3187&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;386.&lt;u&gt;30&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7/4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7993&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;968.&lt;u&gt;84&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9/8&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1682&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;203.&lt;u&gt;87&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;11/8&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;4548&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;551.&lt;u&gt;27&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;13/8&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;6934&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;840.&lt;u&gt;48&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;15/8&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;8978&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1088.&lt;u&gt;24&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;17/16&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;866&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;104.&lt;u&gt;96&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;19/16&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;2454&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;297.&lt;u&gt;45&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;21/16&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;3884&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;470.&lt;u&gt;78&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;23/16&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;5183&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;628.&lt;u&gt;24&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;25/16&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;6374&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;772.&lt;u&gt;60&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;27/16&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7473&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;905.&lt;u&gt;81&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;29/16&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;8494&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1029.&lt;u&gt;57&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;31/16&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9447&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1145.&lt;u&gt;09&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;33/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;440&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;53.&lt;u&gt;27&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;35/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1280&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;155.&lt;u&gt;15&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;37/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;2074&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;251.&lt;u&gt;39&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;39/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;2825&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;342.&lt;u&gt;42&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;41/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;3540&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;429.&lt;u&gt;09&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;43/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;4220&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;511.&lt;u&gt;51&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;45/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;4869&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;590.&lt;u&gt;18&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;47/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;5490&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;665.&lt;u&gt;45&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;49/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;6086&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;737.&lt;u&gt;69&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;51/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;6657&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;806.&lt;u&gt;90&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;53/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7206&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;873.&lt;u&gt;45&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;55/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;7735&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;937.&lt;u&gt;57&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;57/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;8246&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;999.&lt;u&gt;51&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;59/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;8738&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1059.&lt;u&gt;15&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;61/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9214&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1116.&lt;u&gt;84&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;63/32&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;9675&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;"&gt;1172.&lt;u&gt;72&lt;/u&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
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&lt;/table&gt;
 
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&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="http://purdal.wikispaces.com/purdal"&gt;purdal/purdal&lt;/a&gt; - where this article was initially copied from&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 23:53, 2 April 2025

The purdal is a unit of interval size equal to one step of 9900edo. It was suggested by Osmiorisbendi.

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