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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]]

Revision as of 00:00, 17 July 2018

Equal division of the perfect fifth (3/2) into 6 equal parts

(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 miracle generator, and thus this scale is close to the "nonoctave miracle" scale...

Compositions

Metashakti by Carlo Serafini

Intervals

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)
Retrieved from "https://en.xen.wiki/index.php?title=6edf&oldid=956"