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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Augene is a regular temperament of the [[Augmented_family#x-Augene|augmented family]], which means that 128/125 is tempered out and three 5/4s make a 2/1. Augene is distinguished from its relative [[august|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...
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 17:50:07 UTC</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>
<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 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]].
The first few augene MOSes are [[3L_3s|3L 3s]], [[3L_6s|3L 6s]], [[3L_9s|3L 9s]], [[12L_3s|12L 3s]]... and the first EDOs that reasonably support augene are [[12edo|12edo]], [[15edo|15edo]], and especially [[27edo|27edo]].


=Spectrum of Augene Tunings by Eigenmonzos=  
=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=
{| class="wikitable"
//[[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</pre></div>
! | Eigenmonzo
<h4>Original HTML content:</h4>
! | Fifth
<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 (700 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;
| | 14/13
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;
| | 671.702
&lt;br /&gt;
|-
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Spectrum of Augene Tunings by Eigenmonzos"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Spectrum of Augene Tunings by Eigenmonzos&lt;/h1&gt;
| | 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
|}


&lt;table class="wiki_table"&gt;
=Music=
    &lt;tr&gt;
''[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
        &lt;th&gt;Eigenmonzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Fifth&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;671.702&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;685.714&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;688.269&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;689.210&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;700.000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;701.887&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;701.955&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30\51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.882&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;706.481&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23\39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;707.692&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.744&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.771&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;708.798 (9 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39\66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;709.091&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.043&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16\27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;711.111&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/11&lt;br /&gt;
&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;
    &lt;tr&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;713.148 (11 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;714.286&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.587 (7, 13 and 15 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;
        &lt;td&gt;715.641 (5 limit minimax)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34\57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;715.789&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;716.667&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;716.879&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;717.498&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;720.000&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;721.127&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;723.871&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;724.341&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;730.714&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;745.786&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;759.472&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


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

Revision as of 00:00, 17 July 2018

Augene is a regular temperament of the augmented family, 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

Sad Like Winter Leaves by Igliashon Jones in Augene[12] tuned to 27edo

Galticeran Sonatina by Joel Grant Taylor in Augene[12] tuned to 27edo

Retrieved from "https://en.xen.wiki/index.php?title=Augene&oldid=1228"