38edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Osmiorisbendi and made on 2011-06-24 18:35:40 UTC.
- The original revision id was 238638717.
- 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:
=<span style="background-color: #e1e1e1; color: #008693; font-size: 110%;">38 tone equal temperament</span>= //38edo// divides the octave into 38 equal parts of 31.579 cents. Since 38 = 2*19, it can be thought of as two parallel [[19edo]]s. It tempers out the same 5-limit commas as 19, namely 81/80, 3125/3072 and 15625/15552. In the 7-limit, we can add 50/49, and tempering out 81/80 and 50/49 gives [[Meantone family|injera temperament]], for which 38 is the [[optimal patent val]]. In the 11-limit, we can add 121/120 and 176/175. ===38-EDO Intervals:=== || **Step** || **Size in Cents** || || 0 || 0 || || 1 || 31.579 || || 2 || 63.158 || || 3 || 94.737 || || 4 || 126.316 || || 5 || 157.895 || || 6 || 189.474 || || 7 || 221.053 || || 8 || 252.632 || || 9 || 284.211 || || 10 || 315.789 || || 11 || 347.368 || || 12 || 378.947 || || 13 || 410.526 || || 14 || 442.105 || || 15 || 473.684 || || 16 || 505.263 || || 17 || 536.842 || || 18 || 568.421 || || 19 || 600 || || 20 || 631.579 || || 21 || 663.158 || || 22 || 694.737 || || 23 || 726.316 || || 24 || 757.895 || || 25 || 789.474 || || 26 || 821.053 || || 27 || 852.632 || || 28 || 884.211 || || 29 || 915.789 || || 30 || 947.368 || || 31 || 978.947 || || 32 || 1010.526 || || 33 || 1042.105 || || 34 || 1073.684 || || 35 || 1105.263 || || 36 || 1136.842 || || 37 || 1168.421 ||
Original HTML content:
<html><head><title>38edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x38 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="background-color: #e1e1e1; color: #008693; font-size: 110%;">38 tone equal temperament</span></h1>
<br />
<em>38edo</em> divides the octave into 38 equal parts of 31.579 cents. Since 38 = 2*19, it can be thought of as two parallel <a class="wiki_link" href="/19edo">19edo</a>s. It tempers out the same 5-limit commas as 19, namely 81/80, 3125/3072 and 15625/15552. In the 7-limit, we can add 50/49, and tempering out 81/80 and 50/49 gives <a class="wiki_link" href="/Meantone%20family">injera temperament</a>, for which 38 is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a>. In the 11-limit, we can add 121/120 and 176/175.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x38 tone equal temperament--38-EDO Intervals:"></a><!-- ws:end:WikiTextHeadingRule:2 -->38-EDO Intervals:</h3>
<table class="wiki_table">
<tr>
<td><strong>Step</strong><br />
</td>
<td><strong>Size in Cents</strong><br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>31.579<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>63.158<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>94.737<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>126.316<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>157.895<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>189.474<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>221.053<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>252.632<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>284.211<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>315.789<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>347.368<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>378.947<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>410.526<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>442.105<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>473.684<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>505.263<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>536.842<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>568.421<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>600<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>631.579<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>663.158<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>694.737<br />
</td>
</tr>
<tr>
<td>23<br />
</td>
<td>726.316<br />
</td>
</tr>
<tr>
<td>24<br />
</td>
<td>757.895<br />
</td>
</tr>
<tr>
<td>25<br />
</td>
<td>789.474<br />
</td>
</tr>
<tr>
<td>26<br />
</td>
<td>821.053<br />
</td>
</tr>
<tr>
<td>27<br />
</td>
<td>852.632<br />
</td>
</tr>
<tr>
<td>28<br />
</td>
<td>884.211<br />
</td>
</tr>
<tr>
<td>29<br />
</td>
<td>915.789<br />
</td>
</tr>
<tr>
<td>30<br />
</td>
<td>947.368<br />
</td>
</tr>
<tr>
<td>31<br />
</td>
<td>978.947<br />
</td>
</tr>
<tr>
<td>32<br />
</td>
<td>1010.526<br />
</td>
</tr>
<tr>
<td>33<br />
</td>
<td>1042.105<br />
</td>
</tr>
<tr>
<td>34<br />
</td>
<td>1073.684<br />
</td>
</tr>
<tr>
<td>35<br />
</td>
<td>1105.263<br />
</td>
</tr>
<tr>
<td>36<br />
</td>
<td>1136.842<br />
</td>
</tr>
<tr>
<td>37<br />
</td>
<td>1168.421<br />
</td>
</tr>
</table>
</body></html>