Purdal: Difference between revisions

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Wikispaces>xenwolf
**Imported revision 239301089 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 256869324 - 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:xenwolf|xenwolf]] and made on <tt>2011-06-29 08:02:29 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-21 23:54:23 UTC</tt>.<br>
: The original revision id was <tt>239301089</tt>.<br>
: The original revision id was <tt>256869324</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>
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;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="color: #006150; font-family: 'Times New Roman',Times,serif; font-size: 20.5667px;"&gt;PURDAL&lt;/span&gt;=  


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


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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&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;!-- 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;
  &lt;br /&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;, suggested by &lt;a class="wiki_link" href="/T%C3%BAtim%20Deft"&gt;Tútim Deft&lt;/a&gt;, which is the Perfect Octave (2/1) divided into &lt;strong&gt;9900 equal parts&lt;/strong&gt;. The Purdals &lt;span class="hps"&gt;are shown as a reliable and very consistent to idealize any musical system&lt;/span&gt;, &lt;span class="hps"&gt;whether just or temperate&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;, suggested by &lt;a class="wiki_link" href="/T%C3%BAtim%20Deft%20Wafil"&gt;Tútim Deft&lt;/a&gt;, which is the Perfect Octave (2/1) divided into &lt;strong&gt;9900 equal parts&lt;/strong&gt;. The Purdals &lt;span class="hps"&gt;are shown as a reliable and very consistent to idealize any musical system&lt;/span&gt;, &lt;span class="hps"&gt;whether just or temperate&lt;/span&gt;.&lt;br /&gt;
The purpose that it have is for the need of precise with better quality, those 'EDOs' &lt;span class="hps"&gt;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. &lt;/span&gt;The 12edo contains 825 Purdals in each semitone; Each Purdal is equivalent to 4/33 of a Cent (0.121212121.. Cents).&lt;br /&gt;
The purpose that it have is for the need of precise with better quality, those 'EDOs' &lt;span class="hps"&gt;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. &lt;/span&gt;The 12edo contains 825 Purdals in each semitone; Each Purdal is equivalent to 4/33 of a Cent (0.121212121.. Cents).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;

Revision as of 23:54, 21 September 2011

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author genewardsmith and made on 2011-09-21 23:54:23 UTC.
The original revision id was 256869324.
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 Deft]], 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 Deft</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>