Gentle region: Difference between revisions

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-02 15:19:23 UTC</tt>.<br>

: The original revision id was <tt>243967873</tt>.<br>

<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">[[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 [[29edo]], [[46edo]], [[58edo]], [[87edo]], [[104edo]], [[109edo]], [[121edo]], [[145edo]], [[208edo]] and [[232edo]].</pre></div>

<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;Gentle region&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;, in a &lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/38721" rel="nofollow"&gt;tuning list posting&lt;/a&gt;, defined the &amp;quot;gentle region&amp;quot; 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 &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;, &lt;a class="wiki_link" href="/46edo"&gt;46edo&lt;/a&gt;, &lt;a class="wiki_link" href="/58edo"&gt;58edo&lt;/a&gt;, &lt;a class="wiki_link" href="/87edo"&gt;87edo&lt;/a&gt;, &lt;a class="wiki_link" href="/104edo"&gt;104edo&lt;/a&gt;, &lt;a class="wiki_link" href="/109edo"&gt;109edo&lt;/a&gt;, &lt;a class="wiki_link" href="/121edo"&gt;121edo&lt;/a&gt;, &lt;a class="wiki_link" href="/145edo"&gt;145edo&lt;/a&gt;, &lt;a class="wiki_link" href="/208edo"&gt;208edo&lt;/a&gt; and &lt;a class="wiki_link" href="/232edo"&gt;232edo&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>