39edo: Difference between revisions
Wikispaces>Osmiorisbendi **Imported revision 333397494 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 333399508 - 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:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05-11 | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05-11 03:06:31 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>333399508</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> | ||
<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: #007a23 | <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: #007a23;">39 tone equal temperament</span>= | ||
**39-EDO, 39-ED2** or **39-tET** divides the Octave ( | **39-EDO, 39-ED2** or **39-tET** divides the Octave (Duplave 2/1) in 39 equal parts of 30.76923 Cents each one. If we take 22\39 as a fifth, can be used in Mavila Temperament, and from that point of view seems to have attracted the attention of the Armodue school, an Italian group that use the scheme of [[xenharmonic/7L 2s|Superdiatonic]] LLLsLLLLs like a basical scale for notation and theory, implemented in [[xenharmonic/16edo|16-ED2]], and, allied systems ([[xenharmonic/25edo|25-ED2]] [1/3-tone]; [[xenharmonic/41edo|41-ED2]] [1/5-tone]; [[xenharmonic/55edo|55]] and [[xenharmonic/57edo|57]] ED2s [1/7-tones]; [[xenharmonic/71edo|71]] and [[xenharmonic/73edo|73]] ED2s [1/9-tones]; [[xenharmonic/87edo|87]] and [[xenharmonic/89edo|89]] ED2s [1/11-tones] & [[xenharmonic/101edo|101]] and [[xenharmonic/103edo|103]] ED2s [1/13-tones]). **Hornbostel Temperaments** is included too on the list: [[xenharmonic/23edo|23-ED2]] [1/3-tone]; 39-ED2 [1/5-tone]; [[xenharmonic/62edo|62-ED2]] [1/8-tone]; [[xenharmonic/85edo|85-ED2]] [1/11-tone] and larger: [[xenharmonic/131edo|131-ED2]] [1/17-tone]; [[xenharmonic/177edo|177-ED2]] [1/23-tone]; [[xenharmonic/200edo|200-ED2]] [1/26-tone] & [[xenharmonic/223edo|223-ED2]] [1/29-tone]. Note that 101, 131, 177 & 200 ED2s are tempered systems that Alexei Ogolevets was proposing in his List of Temperaments. | ||
However, its 23\39 fifth, 5.737 Cents sharp, is in much better tune than the Mavila fifth which like all Mavila fifths is very, very flat, in this case, 25 Cents flat. Together with its best third which is the familiar 400 cents of 12 equal, we get a system which tempers out the diesis, 128/125, and the amity comma, 1600000/1594323. We have two choices for a map for 7, but the sharp one works better with the 3 and 5, which adds 64/63 and 126/125 to the list. Tempering out both 128/125 and 64/63 makes 39EDO, in some few ways, allied to 12-ET in supporting augene temperament, and is in fact, an excellent choice for an augene tuning, but one difference is that 39 has a fine 11, and adding it to consideration we find that 39-EDO tempers out 99/98 and 121/120 also. This better choice for 39et is <39 62 91 110 135|. | However, its 23\39 fifth, 5.737 Cents sharp, is in much better tune than the Mavila fifth which like all Mavila fifths is very, very flat, in this case, 25 Cents flat. Together with its best third which is the familiar 400 cents of 12 equal, we get a system which tempers out the diesis, 128/125, and the amity comma, 1600000/1594323. We have two choices for a map for 7, but the sharp one works better with the 3 and 5, which adds 64/63 and 126/125 to the list. Tempering out both 128/125 and 64/63 makes 39EDO, in some few ways, allied to 12-ET in supporting augene temperament, and is in fact, an excellent choice for an augene tuning, but one difference is that 39 has a fine 11, and adding it to consideration we find that 39-EDO tempers out 99/98 and 121/120 also. This better choice for 39et is <39 62 91 110 135|. | ||
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2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 - [[xenharmonic/MOSScales|MOS]] of type [[xenharmonic/8L 23s|8L 23s]]</pre></div> | 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 - [[xenharmonic/MOSScales|MOS]] of type [[xenharmonic/8L 23s|8L 23s]]</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>39edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x39 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #007a23 | <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>39edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x39 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #007a23;">39 tone equal temperament</span></h1> | ||
<br /> | <br /> | ||
<strong>39-EDO, 39-ED2</strong> or <strong>39-tET</strong> divides the Octave ( | <strong>39-EDO, 39-ED2</strong> or <strong>39-tET</strong> divides the Octave (Duplave 2/1) in 39 equal parts of 30.76923 Cents each one. If we take 22\39 as a fifth, can be used in Mavila Temperament, and from that point of view seems to have attracted the attention of the Armodue school, an Italian group that use the scheme of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/7L%202s">Superdiatonic</a> LLLsLLLLs like a basical scale for notation and theory, implemented in <a class="wiki_link" href="http://xenharmonic.wikispaces.com/16edo">16-ED2</a>, and, allied systems (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/25edo">25-ED2</a> [1/3-tone]; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/41edo">41-ED2</a> [1/5-tone]; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/55edo">55</a> and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/57edo">57</a> ED2s [1/7-tones]; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/71edo">71</a> and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/73edo">73</a> ED2s [1/9-tones]; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/87edo">87</a> and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/89edo">89</a> ED2s [1/11-tones] &amp; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/101edo">101</a> and <a class="wiki_link" href="http://xenharmonic.wikispaces.com/103edo">103</a> ED2s [1/13-tones]). <strong>Hornbostel Temperaments</strong> is included too on the list: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/23edo">23-ED2</a> [1/3-tone]; 39-ED2 [1/5-tone]; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/62edo">62-ED2</a> [1/8-tone]; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/85edo">85-ED2</a> [1/11-tone] and larger: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/131edo">131-ED2</a> [1/17-tone]; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/177edo">177-ED2</a> [1/23-tone]; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/200edo">200-ED2</a> [1/26-tone] &amp; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/223edo">223-ED2</a> [1/29-tone]. Note that 101, 131, 177 &amp; 200 ED2s are tempered systems that Alexei Ogolevets was proposing in his List of Temperaments.<br /> | ||
However, its 23\39 fifth, 5.737 Cents sharp, is in much better tune than the Mavila fifth which like all Mavila fifths is very, very flat, in this case, 25 Cents flat. Together with its best third which is the familiar 400 cents of 12 equal, we get a system which tempers out the diesis, 128/125, and the amity comma, 1600000/1594323. We have two choices for a map for 7, but the sharp one works better with the 3 and 5, which adds 64/63 and 126/125 to the list. Tempering out both 128/125 and 64/63 makes 39EDO, in some few ways, allied to 12-ET in supporting augene temperament, and is in fact, an excellent choice for an augene tuning, but one difference is that 39 has a fine 11, and adding it to consideration we find that 39-EDO tempers out 99/98 and 121/120 also. This better choice for 39et is &lt;39 62 91 110 135|.<br /> | However, its 23\39 fifth, 5.737 Cents sharp, is in much better tune than the Mavila fifth which like all Mavila fifths is very, very flat, in this case, 25 Cents flat. Together with its best third which is the familiar 400 cents of 12 equal, we get a system which tempers out the diesis, 128/125, and the amity comma, 1600000/1594323. We have two choices for a map for 7, but the sharp one works better with the 3 and 5, which adds 64/63 and 126/125 to the list. Tempering out both 128/125 and 64/63 makes 39EDO, in some few ways, allied to 12-ET in supporting augene temperament, and is in fact, an excellent choice for an augene tuning, but one difference is that 39 has a fine 11, and adding it to consideration we find that 39-EDO tempers out 99/98 and 121/120 also. This better choice for 39et is &lt;39 62 91 110 135|.<br /> | ||
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