https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3AFrancium%2F7247edo 2026-07-13T23:33:58Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=User:Francium/7247edo&diff=233579&oldid=prev 2026-07-09T18:14:02Z

<p>Created page with &quot;{{Infobox ET}} {{ED intro}} == Theory == 7247edo is <a href="/w/Consistent" class="mw-redirect" title="Consistent">consistent</a> to the <a href="/w/7-limit" title="7-limit">7-limit</a>, due to its <a href="/w/Harmonic" title="Harmonic">harmonic</a> <a href="/w/11/1" title="11/1">11</a> being halfway between its steps. It is strong in the 2.3.5.7.13.17.31 <a href="/w/Subgroup" class="mw-redirect" title="Subgroup">subgroup</a>, <a href="/w/Tempering_out" title="Tempering out">tempering out</a> <a href="/w/5832/5831" title="5832/5831">5832/5831</a>, 10881/10880, 903168/903125, <a href="/w/17577/17576" class="mw-redirect" title="17577/17576">17577/17576</a>, 5688387/5687500 and 24810913575/24806539264. It supports <a href="/w/Eternal_revolutionary" class="mw-redirect" title="Eternal revolutionary">eternal revolutionary</a> in the 2.5.11.13 subgroup. === Prime harmonics === {{Harmonics in equal|7247}} === Subsets and supersets...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET}}<br /> {{ED intro}}<br /> <br /> == Theory ==<br /> 7247edo is [[consistent]] to the [[7-limit]], due to its [[harmonic]] [[11/1|11]] being halfway between its steps. It is strong in the 2.3.5.7.13.17.31 [[subgroup]], [[tempering out]] [[5832/5831]], 10881/10880, 903168/903125, [[17577/17576]], 5688387/5687500 and 24810913575/24806539264. It supports [[eternal revolutionary]] in the 2.5.11.13 subgroup.<br /> <br /> === Prime harmonics ===<br /> {{Harmonics in equal|7247}}<br /> <br /> === Subsets and supersets ===<br /> 7247edo is the 927th [[prime edo]]. [[21741edo]], which triples it, gives a good correction to its harmonic 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|-11486 7247}}<br /> | {{mapping|7247 11486}}<br /> | 0.0117<br /> | 0.0117<br /> | 7.07<br /> |-<br /> | 2.3.5<br /> | {{monzo|-69 45 -1}}, {{monzo|170 133 -164}}<br /> | {{mapping|7247 11486 16827}}<br /> | 0.0081<br /> | 0.0108<br /> | 6.52<br /> |-<br /> | 2.3.5.7<br /> | 184528125/184473632, {{monzo|44 6 -17 -5}}, {{monzo|-20 41 -23 3}}<br /> | {{mapping|7247 11486 16827 20345}}<br /> | 0.0046<br /> | 0.0111<br /> | 6.70<br /> |}</div>

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