6edf: Difference between revisions

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Wikispaces>Andrew_Heathwaite
**Imported revision 80630037 - Original comment: added intervals in cents**
Wikispaces>Andrew_Heathwaite
**Imported revision 80631253 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-07-08 15:32:51 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-07-08 15:41:14 UTC</tt>.<br>
: The original revision id was <tt>80630037</tt>.<br>
: The original revision id was <tt>80631253</tt>.<br>
: The revision comment was: <tt>added intervals in cents</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>
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>
<h4>Original Wikitext content:</h4>
Line 31: Line 31:
|| 16 || 1872 ~ 672 ||
|| 16 || 1872 ~ 672 ||
|| 17 || 1988 ~ 788 ||
|| 17 || 1988 ~ 788 ||
|| 18 || 2106 ~ 906 (Pythagorean major sixth, 27:16) ||
|| 18 || 2106 ~ 906 (Pythagorean major sixth, 27:8) ||
|| 19 || 2223 ~ 1023 ||
|| 19 || 2223 ~ 1023 ||
|| 20 || 2340 ~ 1140 ||
|| 20 || 2340 ~ 1140 ||
Line 37: Line 37:
|| 22 || 2574 ~ 174 ||
|| 22 || 2574 ~ 174 ||
|| 23 || 2691 ~ 291 ||
|| 23 || 2691 ~ 291 ||
|| 24 || 2808 ~ 408 (Pythagorean major third, 81:64) ||</pre></div>
|| 24 || 2808 ~ 408 (Pythagorean major third, 81:16) ||</pre></div>
<h4>Original HTML content:</h4>
<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;
<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;
Line 160: Line 160:
         &lt;td&gt;18&lt;br /&gt;
         &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2106 ~ 906 (Pythagorean major sixth, 27:16)&lt;br /&gt;
         &lt;td&gt;2106 ~ 906 (Pythagorean major sixth, 27:8)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 196: Line 196:
         &lt;td&gt;24&lt;br /&gt;
         &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2808 ~ 408 (Pythagorean major third, 81:64)&lt;br /&gt;
         &lt;td&gt;2808 ~ 408 (Pythagorean major third, 81:16)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 15:41, 8 July 2009

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author Andrew_Heathwaite and made on 2009-07-08 15:41:14 UTC.
The original revision id was 80631253.
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:

=Equal division of the perfect fifth (3/2) into 6 equal parts= 
(a.k.a. "6th root of 3/2")

==Compositions== 
[[http://www.seraph.it/XenoTunes3.html|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 ||
|| 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) ||

Original HTML content:

<html><head><title>6edf</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Equal division of the perfect fifth (3/2) into 6 equal parts"></a><!-- ws:end:WikiTextHeadingRule:0 -->Equal division of the perfect fifth (3/2) into 6 equal parts</h1>
 (a.k.a. &quot;6th root of 3/2&quot;)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Equal division of the perfect fifth (3/2) into 6 equal parts-Compositions"></a><!-- ws:end:WikiTextHeadingRule:2 -->Compositions</h2>
 <a class="wiki_link_ext" href="http://www.seraph.it/XenoTunes3.html" rel="nofollow">Metashakti</a> by Carlo Serafini<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Equal division of the perfect fifth (3/2) into 6 equal parts-Intervals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals</h2>
 

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

</body></html>