Augene: Difference between revisions

Revision as of 17:50, 15 August 2014

IMPORTED REVISION FROM WIKISPACES

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This revision was by author genewardsmith and made on 2014-08-15 17:50:07 UTC.

The original revision id was 518663814.

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 (700 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 ||
|| 12\28 || 685.714 ||
|| 16/15 || 688.269 ||
|| 13/11 || 689.210 ||
|| 7\12 || 700.000 ||
|| 31\53 || 701.887 ||
|| 4/3 || 701.955 ||
|| 30\51 || 705.882 ||
|| 15/14 || 706.481 ||
|| 23\39 || 707.692 ||
|| 7/5 || 708.744 ||
|| 9/7 || 708.771 ||
|| 10/9 || 708.798 (9 limit minimax) ||
|| 39\66 || 709.091 ||
|| 7/6 || 711.043 ||
|| 16\27 || 711.111 ||
|| 15/11 || 712.317 ||
|| 57\96 || 712.5 ||
|| 11/9 || 713.148 (11 limit minimax) ||
|| 25\42 || 714.286 ||
|| 8/7 || 715.587 (7, 13 and 15 limit minimax) ||
|| 6/5 || 715.641 (5 limit minimax) ||
|| 34\57 || 715.789 ||
|| 25\72 || 716.667 ||
|| 12/11 || 716.879 ||
|| 11/10 || 717.498 ||
|| 9\15 || 720.000 ||
|| 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 (700 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>12\28<br />
</td>
        <td>685.714<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>7\12<br />
</td>
        <td>700.000<br />
</td>
    </tr>
    <tr>
        <td>31\53<br />
</td>
        <td>701.887<br />
</td>
    </tr>
    <tr>
        <td>4/3<br />
</td>
        <td>701.955<br />
</td>
    </tr>
    <tr>
        <td>30\51<br />
</td>
        <td>705.882<br />
</td>
    </tr>
    <tr>
        <td>15/14<br />
</td>
        <td>706.481<br />
</td>
    </tr>
    <tr>
        <td>23\39<br />
</td>
        <td>707.692<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>39\66<br />
</td>
        <td>709.091<br />
</td>
    </tr>
    <tr>
        <td>7/6<br />
</td>
        <td>711.043<br />
</td>
    </tr>
    <tr>
        <td>16\27<br />
</td>
        <td>711.111<br />
</td>
    </tr>
    <tr>
        <td>15/11<br />
</td>
        <td>712.317<br />
</td>
    </tr>
    <tr>
        <td>57\96<br />
</td>
        <td>712.5<br />
</td>
    </tr>
    <tr>
        <td>11/9<br />
</td>
        <td>713.148 (11 limit minimax)<br />
</td>
    </tr>
    <tr>
        <td>25\42<br />
</td>
        <td>714.286<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>34\57<br />
</td>
        <td>715.789<br />
</td>
    </tr>
    <tr>
        <td>25\72<br />
</td>
        <td>716.667<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>9\15<br />
</td>
        <td>720.000<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:genewardsmith|genewardsmith]] and made on <tt>2014-08-15 17:40:36 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-08-15 17:50:07 UTC</tt>.<br>
-: The original revision id was <tt>518663306</tt>.<br>
+: The original revision id was <tt>518663814</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 29: / Line 29: @@
 || 16\27 || 711.111 ||
 || 15/11 || 712.317 ||
+|| 57\96 || 712.5 ||
 || 11/9 || 713.148 (11 limit minimax) ||
 || 25\42 || 714.286 ||
 || 8/7 || 715.587 (7, 13 and 15 limit minimax) ||
+|| 6/5 || 715.641 (5 limit minimax) ||
 || 34\57 || 715.789 ||
-|| 6/5 || 715.641 (5 limit minimax) ||
 || 25\72 || 716.667 ||
 || 12/11 || 716.879 ||
@@ Line 163: / Line 164: @@
 &lt;/td&gt;
          &lt;td&gt;712.317&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;57\96&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;712.5&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 184: / Line 191: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;34\57&lt;br /&gt;
+         &lt;td&gt;6/5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;715.789&lt;br /&gt;
+         &lt;td&gt;715.641 (5 limit minimax)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;6/5&lt;br /&gt;
+         &lt;td&gt;34\57&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;715.641 (5 limit minimax)&lt;br /&gt;
+         &lt;td&gt;715.789&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

Augene: Difference between revisions

Revision as of 17:50, 15 August 2014

IMPORTED REVISION FROM WIKISPACES

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