https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3AFrancium%2F8951edo 2026-06-26T11:23:19Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=User:Francium/8951edo&diff=213574&oldid=prev 2025-10-19T20:52:27Z

<p>Created page with &quot;{{Infobox ET}} {{ED intro}} == Theory == 8951edo is <a href="/w/Consistent" class="mw-redirect" title="Consistent">consistent</a> to the <a href="/w/9-odd-limit" title="9-odd-limit">9-odd-limit</a>, although the error of its <a href="/w/Harmonic" title="Harmonic">harmonic</a> <a href="/w/5/1" title="5/1">5</a> is very high. It has an almost exact harmonic <a href="/w/3/1" title="3/1">3</a> with a relative error of 0.1 percent. 8951edo is strong in the 2.3.17.19.31 <a href="/w/Subgroup" class="mw-redirect" title="Subgroup">subgroup</a>, <a href="/w/Tempering_out" title="Tempering out">tempering out</a> 90876411/90870848, 49615462203392/49613455241829, 17594077438737/17592186044416 and 129639437691032/129635157244779. === Prime harmonics === {{Harmonics in equal|8951}}...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET}}<br /> {{ED intro}}<br /> <br /> == Theory ==<br /> 8951edo is [[consistent]] to the [[9-odd-limit]], although the error of its [[harmonic]] [[5/1|5]] is very high. It has an almost exact harmonic [[3/1|3]] with a relative error of 0.1 percent. 8951edo is strong in the 2.3.17.19.31 [[subgroup]], [[tempering out]] 90876411/90870848, 49615462203392/49613455241829, 17594077438737/17592186044416 and 129639437691032/129635157244779.<br /> <br /> === Prime harmonics ===<br /> {{Harmonics in equal|8951}}<br /> <br /> === Subsets and supersets ===<br /> 8951edo is the 1113th [[prime edo]]. [[17902edo]], which doubles it, gives a good correction to its harmonic [[11/1|11]].<br /> <br /> == Regular temperament properties ==<br /> {| class=&quot;wikitable center-4 center-5 center-6&quot;<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|14187 -8951}}<br /> | {{mapping|8951 14187}}<br /> | −0.00003<br /> | 0.00003<br /> | 0.02<br /> |-<br /> | 2.3.5<br /> | {{monzo|183 -51 -44}}, {{monzo|-102 142 -53}}<br /> | {{mapping|8951 14187 20784}}<br /> | −0.0081<br /> | 0.0115<br /> | 8.58<br /> |-<br /> | 2.3.5.7<br /> | {{monzo|-12 29 -11 -3}}, {{monzo|47 -18 -14 5}}, {{monzo|42 3 -2 -15}}<br /> | {{mapping|8951 14187 20784 25129}}<br /> | −0.0105<br /> | 0.0107<br /> | 7.98<br /> |}</div>

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