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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
=Equal division of the perfect fifth (3/2) into 6 equal parts=
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>2016-12-29 11:36:23 UTC</tt>.<br>
: The original revision id was <tt>602894386</tt>.<br>
: The revision comment was: <tt>removed tel link</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">=Equal division of the perfect fifth (3/2) into 6 equal parts=  
(a.k.a. "6th root of 3/2")
(a.k.a. "6th root of 3/2")


The single step of 6-edf is 116.9925 cents. This is very close to the size of the [[Regular temperaments#miracle|miracle]] generator, and thus this scale is close to the "nonoctave miracle" scale...
The single step of 6-edf is 116.9925 cents. This is very close to the size of the [[Regular_Temperaments#miracle|miracle]] generator, and thus this scale is close to the "nonoctave miracle" scale...
==Compositions==
[[http://www.seraph.it/dep/det/metashakti.mp3|Metashakti]] by [[Carlo Serafini]]


==Intervals==
==Compositions==
|| degrees || cents ~ cents octave-reduced ||
[http://www.seraph.it/dep/det/metashakti.mp3 Metashakti] by [[Carlo_Serafini|Carlo Serafini]]
|| 0 || 0 (perfect unison, 1:1) ||
|| 1 || 117 ||
|| 2 || 234 ||
|| 3 || 351 ||
|| 4 || 468 ||
|| 5 || 585 ||
|| 6 || 702 (just perfect fifth, 3:2) ||
|| 7 || 819 ||
|| 8 || 936 ||
|| 9 || 1053 ||
|| 10 || 1170 ||
|| 11 || 1287 ~ 87 ||
|| 12 || 1404 ~ 204 (just major whole tone/ninth, 9:4) ||
|| 13 || 1521 ~ 321 ||
|| 14 || 1638 ~ 438 ||
|| 15 || 1755 ~ 555 ||
|| 16 || 1872 ~ 672 ||
|| 17 || 1988 ~ 788 ||
|| 18 || 2106 ~ 906 (Pythagorean major sixth, 27:8) ||
|| 19 || 2223 ~ 1023 ||
|| 20 || 2340 ~ 1140 ||
|| 21 || 2457 ~ 57 ||
|| 22 || 2574 ~ 174 ||
|| 23 || 2691 ~ 291 ||
|| 24 || 2808 ~ 408 (Pythagorean major third, 81:16) ||</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;6edf&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Equal division of the perfect fifth (3/2) into 6 equal parts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Equal division of the perfect fifth (3/2) into 6 equal parts&lt;/h1&gt;
(a.k.a. &amp;quot;6th root of 3/2&amp;quot;)&lt;br /&gt;
&lt;br /&gt;
The single step of 6-edf is 116.9925 cents. This is very close to the size of the &lt;a class="wiki_link" href="/Regular%20temperaments#miracle"&gt;miracle&lt;/a&gt; generator, and thus this scale is close to the &amp;quot;nonoctave miracle&amp;quot; scale...&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Equal division of the perfect fifth (3/2) into 6 equal parts-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Compositions&lt;/h2&gt;
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/metashakti.mp3" rel="nofollow"&gt;Metashakti&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Equal division of the perfect fifth (3/2) into 6 equal parts-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Intervals&lt;/h2&gt;


&lt;table class="wiki_table"&gt;
==Intervals==
    &lt;tr&gt;
        &lt;td&gt;degrees&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;cents ~ cents octave-reduced&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 (perfect unison, 1:1)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;117&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;234&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;351&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;468&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;585&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;702 (just perfect fifth, 3:2)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;819&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;936&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1053&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1170&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1287 ~ 87&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1404 ~ 204 (just major whole tone/ninth, 9:4)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1521 ~ 321&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1638 ~ 438&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1755 ~ 555&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1872 ~ 672&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1988 ~ 788&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2106 ~ 906 (Pythagorean major sixth, 27:8)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2223 ~ 1023&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2340 ~ 1140&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2457 ~ 57&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2574 ~ 174&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2691 ~ 291&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2808 ~ 408 (Pythagorean major third, 81:16)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable"
|-
| | degrees
| | cents ~ cents octave-reduced
|-
| | 0
| | 0 (perfect unison, 1:1)
|-
| | 1
| | 117
|-
| | 2
| | 234
|-
| | 3
| | 351
|-
| | 4
| | 468
|-
| | 5
| | 585
|-
| | 6
| | 702 (just perfect fifth, 3:2)
|-
| | 7
| | 819
|-
| | 8
| | 936
|-
| | 9
| | 1053
|-
| | 10
| | 1170
|-
| | 11
| | 1287 ~ 87
|-
| | 12
| | 1404 ~ 204 (just major whole tone/ninth, 9:4)
|-
| | 13
| | 1521 ~ 321
|-
| | 14
| | 1638 ~ 438
|-
| | 15
| | 1755 ~ 555
|-
| | 16
| | 1872 ~ 672
|-
| | 17
| | 1988 ~ 788
|-
| | 18
| | 2106 ~ 906 (Pythagorean major sixth, 27:8)
|-
| | 19
| | 2223 ~ 1023
|-
| | 20
| | 2340 ~ 1140
|-
| | 21
| | 2457 ~ 57
|-
| | 22
| | 2574 ~ 174
|-
| | 23
| | 2691 ~ 291
|-
| | 24
| | 2808 ~ 408 (Pythagorean major third, 81:16)
|}
[[Category:edf]]
[[Category:edonoi]]
[[Category:listen]]
Retrieved from "https://en.xen.wiki/w/6edf"