6edf
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2011-06-30 09:26:31 UTC.
- The original revision id was 239488549.
- 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") 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/XenoTunes3.html|Metashakti]] [[http://www.seraph.it/XenoTunes3_files/metashakti.mp3|play]] 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:<h1> --><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. "6th root of 3/2")<br />
<br />
The single step of 6-edf is 116.9925 cents. This is very close to the size of the <a class="wiki_link" href="/Regular%20temperaments#miracle">miracle</a> generator, and thus this scale is close to the "nonoctave miracle" scale...<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><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> <a class="wiki_link_ext" href="http://www.seraph.it/XenoTunes3_files/metashakti.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h2> --><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>