Augene: Difference between revisions

Revision as of 20:07, 14 November 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-11-14 20:07:47 UTC.

The original revision id was 382582428.

The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

Augene is a regular temperament of the [[augmented family#x-Augene]], which means that 128/125 is tempered out and three 5/4s make a 2/1. Augene is distinguished from its relative [[august]] by tempering out 64/63, which means that tunings in which the fifth is larger than 7\12 (100 cents) are optimal. Therefore the MOS sequence of augene goes 12, 15, 27... in constrast to august's which goes 9, 12, 21...

The first few augene MOSes are [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]]... and the first EDOs that reasonably support augene are [[12edo]], [[15edo]], and especially [[27edo]].

=Spectrum of Augene Tunings by Eigenmonzos= 
||~ Eigenmonzo ||~ Fifth ||
|| 14/13 || 671.702 ||
|| 16/15 || 688.269 ||
|| 13/11 || 689.210 ||
|| 4/3 || 701.955 ||
|| 15/14 || 706.481 ||
|| 7/5 || 708.744 ||
|| 9/7 || 708.771 ||
|| 10/9 || 708.798 (9 limit minimax) ||
|| 7/6 || 711.043 ||
|| 15/11 || 712.317 ||
|| 11/9 || 713.148 (11 limit minimax) ||
|| 8/7 || 715.587 (7, 13 and 15 limit minimax) ||
|| 6/5 || 715.641 (5 limit minimax) ||
|| 12/11 || 716.879 ||
|| 11/10 || 717.498 ||
|| 18/13 || 721.127 ||
|| 15/13 || 723.871 ||
|| 11/8 || 724.341 ||
|| 13/12 || 730.714 ||
|| 13/10 || 745.786 ||
|| 16/13 || 759.472 ||

=Music= 
//[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Sad%20Like%20Winter%20Leaves.mp3|Sad Like Winter Leaves]]// by [[http://soundcloud.com/cityoftheasleep/sad-like-winter-trees|Igliashon Jones]] in Augene[12] tuned to 27edo
//[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3|Galticeran Sonatina]]// by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Grant Taylor]] in Augene[12] tuned to 27edo

Original HTML content:

<html><head><title>Augene</title></head><body>Augene is a regular temperament of the <a class="wiki_link" href="/augmented%20family#x-Augene">augmented family</a>, which means that 128/125 is tempered out and three 5/4s make a 2/1. Augene is distinguished from its relative <a class="wiki_link" href="/august">august</a> by tempering out 64/63, which means that tunings in which the fifth is larger than 7\12 (100 cents) are optimal. Therefore the MOS sequence of augene goes 12, 15, 27... in constrast to august's which goes 9, 12, 21...<br />
<br />
The first few augene MOSes are <a class="wiki_link" href="/3L%203s">3L 3s</a>, <a class="wiki_link" href="/3L%206s">3L 6s</a>, <a class="wiki_link" href="/3L%209s">3L 9s</a>, <a class="wiki_link" href="/12L%203s">12L 3s</a>... and the first EDOs that reasonably support augene are <a class="wiki_link" href="/12edo">12edo</a>, <a class="wiki_link" href="/15edo">15edo</a>, and especially <a class="wiki_link" href="/27edo">27edo</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Spectrum of Augene Tunings by Eigenmonzos"></a><!-- ws:end:WikiTextHeadingRule:0 -->Spectrum of Augene Tunings by Eigenmonzos</h1>
 

<table class="wiki_table">
    <tr>
        <th>Eigenmonzo<br />
</th>
        <th>Fifth<br />
</th>
    </tr>
    <tr>
        <td>14/13<br />
</td>
        <td>671.702<br />
</td>
    </tr>
    <tr>
        <td>16/15<br />
</td>
        <td>688.269<br />
</td>
    </tr>
    <tr>
        <td>13/11<br />
</td>
        <td>689.210<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>701.955<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>706.481<br />
</td>
    </tr>
    <tr>
        <td>7/5<br />
</td>
        <td>708.744<br />
</td>
    </tr>
    <tr>
        <td>9/7<br />
</td>
        <td>708.771<br />
</td>
    </tr>
    <tr>
        <td>10/9<br />
</td>
        <td>708.798 (9 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>711.043<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>712.317<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>713.148 (11 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>8/7<br />
</td>
        <td>715.587 (7, 13 and 15 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>6/5<br />
</td>
        <td>715.641 (5 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>12/11<br />
</td>
        <td>716.879<br />
</td>
    </tr>
    <tr>
        <td>11/10<br />
</td>
        <td>717.498<br />
</td>
    </tr>
    <tr>
        <td>18/13<br />
</td>
        <td>721.127<br />
</td>
    </tr>
    <tr>
        <td>15/13<br />
</td>
        <td>723.871<br />
</td>
    </tr>
    <tr>
        <td>11/8<br />
</td>
        <td>724.341<br />
</td>
    </tr>
    <tr>
        <td>13/12<br />
</td>
        <td>730.714<br />
</td>
    </tr>
    <tr>
        <td>13/10<br />
</td>
        <td>745.786<br />
</td>
    </tr>
    <tr>
        <td>16/13<br />
</td>
        <td>759.472<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:2 -->Music</h1>
 <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Sad%20Like%20Winter%20Leaves.mp3" rel="nofollow">Sad Like Winter Leaves</a></em> by <a class="wiki_link_ext" href="http://soundcloud.com/cityoftheasleep/sad-like-winter-trees" rel="nofollow">Igliashon Jones</a> in Augene[12] tuned to 27edo<br />
<em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3" rel="nofollow">Galticeran Sonatina</a></em> by <a class="wiki_link_ext" href="http://soundcloud.com/joelgranttaylor/galticeran_sonatina" rel="nofollow">Joel Grant Taylor</a> in Augene[12] tuned to 27edo</body></html>

@@ 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:guest|guest]] and made on <tt>2012-11-08 13:34:59 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-14 20:07:47 UTC</tt>.<br>
-: The original revision id was <tt>380545216</tt>.<br>
+: The original revision id was <tt>382582428</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">Augene is a regular temperament of the [[augmented family#x-Augene]], which means that 128/125 is tempered out and three 5/4s make a 2/1. Augene is distinguished from its relative [[august]] by tempering out 64/63, which means that tunings in which the generator is smaller than 1\12 (100 cents) are optimal. Therefore the MOS sequence of augene goes 12, 15, 27... in constrast to august's which goes 9, 12, 21...
+<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">Augene is a regular temperament of the [[augmented family#x-Augene]], which means that 128/125 is tempered out and three 5/4s make a 2/1. Augene is distinguished from its relative [[august]] by tempering out 64/63, which means that tunings in which the fifth is larger than 7\12 (100 cents) are optimal. Therefore the MOS sequence of augene goes 12, 15, 27... in constrast to august's which goes 9, 12, 21...
 The first few augene MOSes are [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]]... and the first EDOs that reasonably support augene are [[12edo]], [[15edo]], and especially [[27edo]].
@@ Line 38: / Line 38: @@
 //[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/12of27sonatina.mp3|Galticeran Sonatina]]// by [[http://soundcloud.com/joelgranttaylor/galticeran_sonatina|Joel Grant Taylor]] in Augene[12] tuned to 27edo</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;Augene&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Augene is a regular temperament of the &lt;a class="wiki_link" href="/augmented%20family#x-Augene"&gt;augmented family&lt;/a&gt;, which means that 128/125 is tempered out and three 5/4s make a 2/1. Augene is distinguished from its relative &lt;a class="wiki_link" href="/august"&gt;august&lt;/a&gt; by tempering out 64/63, which means that tunings in which the generator is smaller than 1\12 (100 cents) are optimal. Therefore the MOS sequence of augene goes 12, 15, 27... in constrast to august's which goes 9, 12, 21...&lt;br /&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;Augene&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Augene is a regular temperament of the &lt;a class="wiki_link" href="/augmented%20family#x-Augene"&gt;augmented family&lt;/a&gt;, which means that 128/125 is tempered out and three 5/4s make a 2/1. Augene is distinguished from its relative &lt;a class="wiki_link" href="/august"&gt;august&lt;/a&gt; by tempering out 64/63, which means that tunings in which the fifth is larger than 7\12 (100 cents) are optimal. Therefore the MOS sequence of augene goes 12, 15, 27... in constrast to august's which goes 9, 12, 21...&lt;br /&gt;
 &lt;br /&gt;
 The first few augene MOSes are &lt;a class="wiki_link" href="/3L%203s"&gt;3L 3s&lt;/a&gt;, &lt;a class="wiki_link" href="/3L%206s"&gt;3L 6s&lt;/a&gt;, &lt;a class="wiki_link" href="/3L%209s"&gt;3L 9s&lt;/a&gt;, &lt;a class="wiki_link" href="/12L%203s"&gt;12L 3s&lt;/a&gt;... and the first EDOs that reasonably support augene are &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;, &lt;a class="wiki_link" href="/15edo"&gt;15edo&lt;/a&gt;, and especially &lt;a class="wiki_link" href="/27edo"&gt;27edo&lt;/a&gt;.&lt;br /&gt;

Augene: Difference between revisions

Revision as of 20:07, 14 November 2012

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