Gentle region
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author keenanpepper and made on 2012-10-05 02:44:23 UTC.
- The original revision id was 370452772.
- The revision comment was:
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Original Wikitext content:
[[Margo Schulter]], in a [[http://launch.groups.yahoo.com/group/tuning/message/38721|tuning list posting]], defined the "gentle region" of temperaments with a fifth as generator as that of fifths about 1.49 to 2.65 cents sharp. We can consider this region to extend from fifths of size 17\29 to 64\109. If we remove the restriction to tempering based on chains of fifths, we find that notable equal divisions in the gentle region include multiples of [[29edo]], [[46edo]], [[75edo]], [[104edo]], [[109edo]], [[121edo]], [[145edo|133edo]], [[155edo]], [[162edo]], [[167edo]], [[179edo]], [[191edo]], [[201edo]], [[213edo]], [[225edo]] and [[237edo]]. || 17\29 || || || || 703.448 || || || || || || 61\104 || 703.846 || || || || || 44\75 || || 704 || || || || || || 71\121 || 704.132 || || || || 27\46 || || || 704.348 || || || || || || 64\109 || 704.587 || Boundary of "gentle region" as defined above || || || || 37\63 || || 704.762 || || || 10\17 || || || || 705.882 || ||
Original HTML content:
<html><head><title>Gentle region</title></head><body><a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>, in a <a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/38721" rel="nofollow">tuning list posting</a>, defined the "gentle region" of temperaments with a fifth as generator as that of fifths about 1.49 to 2.65 cents sharp. We can consider this region to extend from fifths of size 17\29 to 64\109. If we remove the restriction to tempering based on chains of fifths, we find that notable equal divisions in the gentle region include multiples of <a class="wiki_link" href="/29edo">29edo</a>, <a class="wiki_link" href="/46edo">46edo</a>, <a class="wiki_link" href="/75edo">75edo</a>, <a class="wiki_link" href="/104edo">104edo</a>, <a class="wiki_link" href="/109edo">109edo</a>, <a class="wiki_link" href="/121edo">121edo</a>, <a class="wiki_link" href="/145edo">133edo</a>, <a class="wiki_link" href="/155edo">155edo</a>, <a class="wiki_link" href="/162edo">162edo</a>, <a class="wiki_link" href="/167edo">167edo</a>, <a class="wiki_link" href="/179edo">179edo</a>, <a class="wiki_link" href="/191edo">191edo</a>, <a class="wiki_link" href="/201edo">201edo</a>, <a class="wiki_link" href="/213edo">213edo</a>, <a class="wiki_link" href="/225edo">225edo</a> and <a class="wiki_link" href="/237edo">237edo</a>.<br />
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<table class="wiki_table">
<tr>
<td>17\29<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>703.448<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>61\104<br />
</td>
<td>703.846<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>44\75<br />
</td>
<td><br />
</td>
<td>704<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>71\121<br />
</td>
<td>704.132<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>27\46<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>704.348<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>64\109<br />
</td>
<td>704.587<br />
</td>
<td>Boundary of "gentle region" as defined above<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>37\63<br />
</td>
<td><br />
</td>
<td>704.762<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>10\17<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>705.882<br />
</td>
<td><br />
</td>
</tr>
</table>
</body></html>