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:<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>256869324</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">=<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>.

[[Category:99edo]]

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).

[[Category:9900edo]]

[[Category:Interval size measures]]

~~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</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><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><br />~~

~~<br />~~

~~<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:genewardsmith|genewardsmith]] and made on <tt>2011-09-21 23:54:23 UTC</tt>.<br>
-: The original revision id was <tt>256869324</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]], 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;.
+[[Category:99edo]]
-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).
+[[Category:9900edo]]
+[[Category:Interval size measures]]
-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.
-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;, 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;
-&lt;br /&gt;
-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;amp; 4950 exact parts.&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>