Purdal: Difference between revisions

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**Imported revision 425561576 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 425561672 - Original comment: **
Line 1: Line 1:
<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 00:35:33 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-04-23 00:36:25 UTC</tt>.<br>
: The original revision id was <tt>425561576</tt>.<br>
: The original revision id was <tt>425561672</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="color: #006150; font-family: 'Times New Roman',Times,serif; font-size: 20.5667px;"&gt;PURDAL&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 &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;
 
&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;
The **purdal** is a unit of [[interval size measure|measure for musical intervals]], &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;&lt;span style="font-size: 13px;"&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;
&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 &lt;/span&gt;&lt;span style="background-color: #ffffff;"&gt;[[purdal/12-EDD|12-EDD]]&lt;/span&gt;&lt;span style="background-color: #ffffff;"&gt; 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;
&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;
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* [[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;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="PURDAL"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;&lt;span style="color: #006150; font-family: 'Times New Roman',Times,serif; font-size: 20.5667px;"&gt;PURDAL&lt;/span&gt;&lt;/h1&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;/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;
&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;
The &lt;strong&gt;purdal&lt;/strong&gt; is a unit of &lt;a class="wiki_link" href="/interval%20size%20measure"&gt;measure for musical intervals&lt;/a&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;&lt;span style="font-size: 13px;"&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;
&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;/span&gt;&lt;span style="background-color: #ffffff;"&gt;&lt;a class="wiki_link" href="http://purdal.wikispaces.com/12-EDD"&gt;12-EDD&lt;/a&gt;&lt;/span&gt;&lt;span style="background-color: #ffffff;"&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;
&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;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;
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  --&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;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="PURDAL-Links"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Links&lt;/h2&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;
  &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 00:36, 23 April 2013

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author Osmiorisbendi and made on 2013-04-23 00:36:25 UTC.
The original revision id was 425561672.
The revision comment was:

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

Original Wikitext content:

<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 </span><span style="font-size: 13px; line-height: 1.5;">[[interval size measure|measure for musical intervals]]</span><span style="font-size: 13px; line-height: 1.5;">, </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="font-size: 13px; line-height: 1.5;"><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">9900 equal parts</span></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]]

==Links== 
* [[purdal/purdal]] - where this article was initially copied from

Original HTML content:

<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 </span><span style="font-size: 13px; line-height: 1.5;"><a class="wiki_link" href="/interval%20size%20measure">measure for musical intervals</a></span><span style="font-size: 13px; line-height: 1.5;">, </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="font-size: 13px; line-height: 1.5;"><span style="background-color: #ffffff; font-size: 13px; line-height: 1.5;">9900 equal parts</span></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 />
<!-- ws:start:WikiTextHeadingRule:1:&lt;h2&gt; --><h2 id="toc0"><a name="x-Links"></a><!-- ws:end:WikiTextHeadingRule:1 -->Links</h2>
 <ul><li><a class="wiki_link" href="http://purdal.wikispaces.com/purdal">purdal/purdal</a> - where this article was initially copied from</li></ul></body></html>