Purdal

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Revision as of 22:29, 14 November 2012 by Wikispaces>Osmiorisbendi (**Imported revision 382627764 - Original comment: **)
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IMPORTED REVISION FROM WIKISPACES

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This revision was by author Osmiorisbendi and made on 2012-11-14 22:29:20 UTC.
The original revision id was 382627764.
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="color: #006150; font-family: 'Times New Roman',Times,serif; font-size: 20.5667px;">PURDAL</span>= 

The **purdal** is a unit of [[interval size measure|measure for musical intervals]], suggested by [[Tútim Deft Wafil|Tútim Dennsuul]], which is the Perfect Octave (2/1) divided into **9900 equal parts**. The Purdals <span class="hps">are shown as a reliable and very consistent to idealize any musical system</span>, <span class="hps">whether just or temperate</span>.
The purpose that it have is for the need of precise with better quality, those 'EDOs' <span class="hps">who have a quantity equal to a prime number of intervals and systems upper of 100 steps per Octave, only require 2 decimals for a basic precision. </span>The 12edo contains 825 Purdals in each semitone; Each Purdal is equivalent to 4/33 of a Cent (0.121212121.. Cents).

The Octaved Purdal (9900) is divisible 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.

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><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="PURDAL"></a><!-- ws:end:WikiTextHeadingRule:1 --><span style="color: #006150; font-family: 'Times New Roman',Times,serif; font-size: 20.5667px;">PURDAL</span></h1>
 <br />
The <strong>purdal</strong> is a unit of <a class="wiki_link" href="/interval%20size%20measure">measure for musical intervals</a>, suggested by <a class="wiki_link" href="/T%C3%BAtim%20Deft%20Wafil">Tútim Dennsuul</a>, which is the Perfect Octave (2/1) divided into <strong>9900 equal parts</strong>. The Purdals <span class="hps">are shown as a reliable and very consistent to idealize any musical system</span>, <span class="hps">whether just or temperate</span>.<br />
The purpose that it have is for the need of precise with better quality, those 'EDOs' <span class="hps">who have a quantity equal to a prime number of intervals and systems upper of 100 steps per Octave, only require 2 decimals for a basic precision. </span>The 12edo contains 825 Purdals in each semitone; Each Purdal is equivalent to 4/33 of a Cent (0.121212121.. Cents).<br />
<br />
The Octaved Purdal (9900) is divisible 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.<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:3:&lt;h2&gt; --><h2 id="toc1"><a name="PURDAL-Links"></a><!-- ws:end:WikiTextHeadingRule:3 -->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>