Purdal: Difference between revisions

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**Imported revision 425561672 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 437714416 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-04-23 00:36:25 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-06-12 03:25:24 UTC</tt>.<br>
: The original revision id was <tt>425561672</tt>.<br>
: The original revision id was <tt>437714416</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>
<h4>Original Wikitext content:</h4>
<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 &lt;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt;[[interval size measure|measure for musical intervals]]&lt;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt;, &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="font-size: 13px; line-height: 1.5;"&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;9900 equal parts&lt;/span&gt;&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;
<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 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;


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[[math]]
[[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.__3__&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==  
==Links==  
* [[purdal/purdal]] - where this article was initially copied from</pre></div>
* [[purdal/purdal]] - where this article was initially copied from</pre></div>
<h4>Original HTML content:</h4>
<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;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt;&lt;a class="wiki_link" href="/interval%20size%20measure"&gt;measure for musical intervals&lt;/a&gt;&lt;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&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="font-size: 13px; line-height: 1.5;"&gt;&lt;span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;"&gt;9900 equal parts&lt;/span&gt;&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;
<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;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;br /&gt;
Line 30: Line 64:
  --&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;
  --&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;
&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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &lt;tr&gt;
        &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &lt;tr&gt;
        &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;3&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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &lt;tr&gt;
        &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &lt;tr&gt;
        &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;
    &lt;/tr&gt;
    &lt;tr&gt;
        &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
    &lt;tr&gt;
        &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;
    &lt;/tr&gt;
    &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;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Links&lt;/h2&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>
  &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>

Revision as of 03:25, 12 June 2013

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<span style="font-size: 13px; line-height: 1.5;"> The </span>**<span style="font-size: 13px; line-height: 1.5;">purdal</span>**<span style="font-size: 13px; line-height: 1.5;"> is a unit of [[interval size measure|measure for musical intervals]], </span><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">suggested by [[xenharmonic/Tútim Dennsuul Wafiil|Tútim Dennsuul]], which is the [[purdal/Ditave|Ditave]] (2/1, the 'Octave') divided into </span>**<span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">9900 equal parts</span>**<span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">. The Purdals </span><span class="hps" style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">are shown as a reliable and very consistent to idealize any musical system</span><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">, </span><span class="hps" style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">whether just or temperate</span><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">.</span>
<span style="background-color: #ffffff;">The purpose that it have is for the need of precise with better quality in its presentation, those 'EDDs' </span><span class="hps" style="background-color: #ffffff;">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.</span><span style="background-color: #ffffff;">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).</span>

<span style="background-color: #ffffff;">The ditaved Purdal (9900) is divisible</span><span style="font-size: 13px; line-height: 1.5;"> 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 & 4950 exact parts.</span>

The Purdal's prime factorization is
[[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:
|| **<span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">Harmonic (until the 63º)</span>** || **<span style="color: #0000ff; font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">Purdal entire value</span>** || **<span style="color: #008080; font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">Cent equivalence</span>** ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">2/1</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9900</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1200</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">3/2</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">5791</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">701.__93__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">5/4</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">3187</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">386.__30__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7/4</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7993</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">968.__84__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9/8</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1682</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">203.__87__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">11/8</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">4548</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">551.__27__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">13/8</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">6934</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">840.__48__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">15/8</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">8978</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1088.__24__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">17/16</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">866</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">104.__96__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">19/16</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">2454</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">297.__45__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">21/16</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">3884</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">470.__78__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">23/16</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">5183</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">628.__24__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">25/16</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">6374</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">772.__60__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">27/16</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7473</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">905.__81__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">29/16</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">8494</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1029.__57__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">31/16</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9447</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1145.__09__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">33/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">440</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">53.__3__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">35/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1280</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">155.__15__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">37/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">2074</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">251.__39__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">39/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">2825</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">342.__42__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">41/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">3540</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">429.__09__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">43/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">4220</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">511.__51__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">45/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">4869</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">590.__18__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">47/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">5490</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">665.__45__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">49/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">6086</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">737.__69__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">51/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">6657</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">806.__90__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">53/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7206</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">873.__45__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">55/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7735</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">937.__57__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">57/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">8246</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">999.__51__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">59/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">8738</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1059.__15__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">61/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9214</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1116.__84__</span> ||
|| <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">63/32</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9675</span> || <span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1172.__72__</span> ||
==Links== 
* [[purdal/purdal]] - where this article was initially copied from

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<html><head><title>Purdal</title></head><body><span style="font-size: 13px; line-height: 1.5;"> The </span><strong><span style="font-size: 13px; line-height: 1.5;">purdal</span></strong><span style="font-size: 13px; line-height: 1.5;"> is a unit of <a class="wiki_link" href="/interval%20size%20measure">measure for musical intervals</a>, </span><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">suggested by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/T%C3%BAtim%20Dennsuul%20Wafiil">Tútim Dennsuul</a>, which is the <a class="wiki_link" href="http://purdal.wikispaces.com/Ditave">Ditave</a> (2/1, the 'Octave') divided into </span><strong><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">9900 equal parts</span></strong><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">. The Purdals </span><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;" class="hps">are shown as a reliable and very consistent to idealize any musical system</span><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">, </span><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;" class="hps">whether just or temperate</span><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">.</span><br />
<span style="background-color: #ffffff;">The purpose that it have is for the need of precise with better quality in its presentation, those 'EDDs' </span><span style="background-color: #ffffff;" class="hps">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.</span><span style="background-color: #ffffff;">The <a class="wiki_link" href="http://purdal.wikispaces.com/12-EDD">12-EDD</a> contains 825 Purdals in each semitone; Each Purdal is equivalent to 4/33 of a Cent (0.121212121.. Cents).</span><br />
<br />
<span style="background-color: #ffffff;">The ditaved Purdal (9900) is divisible</span><span style="font-size: 13px; line-height: 1.5;"> 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.</span><br />
<br />
The Purdal's prime factorization is<br />
<!-- ws:start:WikiTextMathRule:0:
[[math]]&lt;br/&gt;
9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11&lt;br/&gt;[[math]]
 --><script type="math/tex">9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11</script><!-- ws:end:WikiTextMathRule:0 --><br />
<br />
A table with some harmonic ratios expressed in entire Purdals and its equivalence in Cents below:<br />


<table class="wiki_table">
    <tr>
        <td><strong><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">Harmonic (until the 63º)</span></strong><br />
</td>
        <td><strong><span style="color: #0000ff; font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">Purdal entire value</span></strong><br />
</td>
        <td><strong><span style="color: #008080; font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">Cent equivalence</span></strong><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">2/1</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9900</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1200</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">3/2</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">5791</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">701.<u>93</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">5/4</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">3187</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">386.<u>30</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7/4</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7993</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">968.<u>84</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9/8</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1682</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">203.<u>87</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">11/8</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">4548</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">551.<u>27</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">13/8</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">6934</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">840.<u>48</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">15/8</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">8978</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1088.<u>24</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">17/16</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">866</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">104.<u>96</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">19/16</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">2454</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">297.<u>45</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">21/16</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">3884</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">470.<u>78</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">23/16</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">5183</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">628.<u>24</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">25/16</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">6374</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">772.<u>60</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">27/16</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7473</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">905.<u>81</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">29/16</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">8494</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1029.<u>57</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">31/16</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9447</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1145.<u>09</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">33/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">440</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">53.<u>3</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">35/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1280</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">155.<u>15</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">37/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">2074</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">251.<u>39</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">39/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">2825</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">342.<u>42</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">41/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">3540</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">429.<u>09</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">43/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">4220</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">511.<u>51</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">45/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">4869</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">590.<u>18</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">47/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">5490</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">665.<u>45</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">49/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">6086</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">737.<u>69</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">51/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">6657</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">806.<u>90</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">53/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7206</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">873.<u>45</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">55/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">7735</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">937.<u>57</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">57/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">8246</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">999.<u>51</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">59/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">8738</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1059.<u>15</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">61/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9214</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1116.<u>84</u></span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">63/32</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">9675</span><br />
</td>
        <td><span style="font-family: 'Times New Roman',Times,serif; font-size: 14.545454025268555px;">1172.<u>72</u></span><br />
</td>
    </tr>
</table>

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