Purdal: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 256869324 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 382627764 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-09-21 23:54:23 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-11-14 22:29:20 UTC</tt>.<br>
: The original revision id was <tt>256869324</tt>.<br>
: The original revision id was <tt>382627764</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>
Line 8: Line 8:
<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 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 **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 &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).


Line 15: Line 15:
The Purdal's prime factorization is
The Purdal's prime factorization is
[[math]]
[[math]]
9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11
9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11
[[math]]
[[math]]


== Links ==
==Links==  
* [[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;!-- 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%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 &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 Dennsuul&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;
Line 31: Line 31:
&lt;!-- ws:start:WikiTextMathRule:0:
&lt;!-- ws:start:WikiTextMathRule:0:
[[math]]&amp;lt;br/&amp;gt;
[[math]]&amp;lt;br/&amp;gt;
9900 = 2^2 \cdot 3^2 \cdot 5^2 \cdot 11&amp;lt;br/&amp;gt;[[math]]
9900 = 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;
  --&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: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>
&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>