https://en.xen.wiki/index.php?action=history&feed=atom&title=2819edo 2026-06-29T07:14:17Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=2819edo&diff=186978&oldid=prev 2025-03-18T19:52:59Z

<p>Created page with &quot;{{Infobox ET}} {{ED intro}} == Theory == 2819edo is <a href="/w/Consistent" class="mw-redirect" title="Consistent">consistent</a> to the <a href="/w/7-odd-limit" title="7-odd-limit">7-odd-limit</a> <a href="/w/Tempering_out" title="Tempering out">tempering out</a> <a href="/w/645700815/645657712" class="mw-redirect" title="645700815/645657712">645700815/645657712</a>, {{monzo|-18 21 -9 2}} and {{monzo|28 7 -1...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET}}<br /> {{ED intro}}<br /> <br /> == Theory ==<br /> 2819edo is [[consistent]] to the [[7-odd-limit]] [[tempering out]] [[645700815/645657712]], {{monzo|-18 21 -9 2}} and {{monzo|28 7 -12 -4}}. It is strong in the 2.3.7.11.19.23.31 [[subgroup]], tempering out 247808/247779, 16929/16928, 214291/214272, 116964/116963, 531441/531392 and 4917561/4917248. Using the 2.3.7.11.23.31.41 subgroup, it tempers out [[76384/76383]].<br /> <br /> === Prime harmonics ===<br /> {{Harmonics in equal|2819}}<br /> <br /> === Subsets and supersets ===<br /> 2819edo is the 410th [[prime edo]]. [[5638edo]], which doubles it, gives a good correction to the [[harmonic]] [[5/1|5]].<br /> <br /> == Regular temperament properties ==<br /> {| class=&quot;wikitable center-4 center-5 center-6&quot;<br /> |-<br /> ! rowspan=&quot;2&quot; | [[Subgroup]]<br /> ! rowspan=&quot;2&quot; | [[Comma list|Comma List]]<br /> ! rowspan=&quot;2&quot; | [[Mapping]]<br /> ! rowspan=&quot;2&quot; | Optimal&lt;br /&gt;8ve stretch (¢)<br /> ! colspan=&quot;2&quot; | Tuning Error<br /> |- <br /> ! [[TE error|Absolute]] (¢)<br /> ! [[TE simple badness|Relative]] (%)<br /> |-<br /> | 2.3<br /> | {{monzo|-4468 2819}}<br /> | {{mapping|2819 4468}}<br /> | +0.0012<br /> | 0.0012<br /> | 0.28<br /> |}</div>

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