Purdal: Difference between revisions

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~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~

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

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

~~: This revision~~ was by ~~author~~ [[~~User:Osmiorisbendi|~~Osmiorisbendi]] ~~and made on <tt>2013-04-23 00:35:33 UTC</tt>. ~~

~~: The original revision id was <tt>425561576</tt>. ~~

~~: The revision comment was: <tt></tt> ~~

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

~~<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">=PURDAL=

~~The **purdal** is a unit of~~ [[~~interval size measure|measure for musical intervals]], suggested by [[xenharmonic/Tútim Dennsuul Wafiil|Tútim Dennsuul~~]], which is the [[purdal/Ditave|Ditave]] (2/1, the 'Octave') divided into **9900 equal parts**. The Purdals are shown as a reliable and very consistent to idealize any musical system, whether just or temperate.

[[Category:99edo]]

The purpose that it have is for the need of precise with better quality in its presentation, those 'EDDs' 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.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).

[[Category:9900edo]]

[[Category:Interval size measures]]

The ditaved 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</pre></div>~~

~~<h4>Original HTML content:</h4>~~

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Purdal</title></head><body><h1 id="toc0"><a name="PURDAL"></a>PURDAL</h1>

~~ ~~

The purdal is a unit of <a class="wiki_link" href="/interval%20size%20measure">measure for musical intervals</a>, 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 9900 equal parts. The Purdals are shown as a reliable and very consistent to idealize any musical system, whether just or temperate.

The purpose that it have is for the need of precise with better quality in its presentation, those 'EDDs' 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.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).

~~ ~~

The ditaved 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.

~~ ~~

~~The Purdal's prime factorization is ~~

~~<!-- 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> ~~

~~ ~~

~~<h2 id="toc1"><a name="PURDAL-Links"></a>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></pre></div>

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+The '''purdal''' is a [[unit of interval size]] equal to one step of [[9900edo]]. It was suggested by [[Osmiorisbendi]].
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2013-04-23 00:35:33 UTC</tt>.<br>
-: The original revision id was <tt>425561576</tt>.<br>
-: The revision comment was: <tt></tt><br>
-The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
-<h4>Original Wikitext content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=&lt;span style="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]], &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;
+[[Category:99edo]]
-&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;
+[[Category:9900edo]]
+[[Category:Interval size measures]]
-&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;
-The Purdal's prime factorization is
-[[math]]
-= 2^2 \cdot 3^2 \cdot 5^2 \cdot 11
-[[math]]
-==Links==
-* [[purdal/purdal]] - where this article was initially copied from</pre></div>
-<h4>Original HTML content:</h4>
-<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Purdal&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- 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;
-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;span style="background-color: #ffffff;"&gt;The ditaved Purdal (9900) is divisible&lt;/span&gt;&lt;span style="font-size: 13px; line-height: 1.5;"&gt; by: 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300 &amp;amp; 4950 exact parts.&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
-The Purdal's prime factorization is&lt;br /&gt;
-&lt;!-- ws:start:WikiTextMathRule:0:
-[[math]]&amp;lt;br/&amp;gt;
-= 2^2 \cdot 3^2 \cdot 5^2 \cdot 11&amp;lt;br/&amp;gt;[[math]]
- --&gt;&lt;script type="math/tex"&gt;9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11&lt;/script&gt;&lt;!-- ws:end:WikiTextMathRule:0 --&gt;&lt;br /&gt;
-&lt;br /&gt;
-&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;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>