Purdal: Difference between revisions
Wikispaces>xenwolf **Imported revision 237283401 - Original comment: source added** |
Wikispaces>xenwolf **Imported revision 239301089 - 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- | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-06-29 08:02:29 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>239301089</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <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>= | <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 measure for musical intervals, suggested by 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 **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 <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 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 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> | <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><!-- ws:start:WikiTextHeadingRule: | <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><!-- 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 /> | <br /> | ||
The <strong>purdal</strong> is a unit of measure for musical intervals, suggested by Tútim Deft, 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 <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">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 /> | 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 /> | <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 /> | 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 /> | <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></pre></div> | |||