Purdal: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>~~2012~~-11-~~14 22~~:29:20 UTC</tt>.

: 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>~~382627764~~</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.

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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">=PURDAL=

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 are shown as a reliable and very consistent to idealize any musical system, whether just or temperate.

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.

The purpose that it have is for the need of precise with better quality, those '~~EDOs~~' 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. 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 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).

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 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

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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"><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="/T%C3%BAtim%~~20Deft~~%~~20Wafil~~">Tútim Dennsuul</a>, which is the ~~Perfect Octave~~ (2/1) 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 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, those '~~EDOs~~' 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. 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 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 ~~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 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

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2012-11-14 22:29:20 UTC</tt>.<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>382627764</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>
@@ 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;=
-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 **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;
-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;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;
-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.
+&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
@@ Line 23: / Line 23: @@
 <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 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 &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;
-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;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;
-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;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;