https://en.xen.wiki/index.php?action=history&feed=atom&title=16218edo 2026-07-01T13:39:24Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=16218edo&diff=186554&oldid=prev 2025-03-17T08:33:22Z

<p>replace with new template</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 08:33, 17 March 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Infobox ET}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Infobox ET}}</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{<del style="font-weight: bold; text-decoration: none;">EDO </del>intro<del style="font-weight: bold; text-decoration: none;">|16218</del>}}</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{<ins style="font-weight: bold; text-decoration: none;">ED </ins>intro}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>16218edo is a strong [[5-limit system]], is [[consistent]] in the [[15-odd-limit]], and it is a satisfactory 2.3.5.11.19.23.31.37.43 subgroup system in the higher limits.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>16218edo is a strong [[5-limit system]], is [[consistent]] in the [[15-odd-limit]], and it is a satisfactory 2.3.5.11.19.23.31.37.43 subgroup system in the higher limits.</div></td></tr> </table>

Ganaram inukshuk https://en.xen.wiki/index.php?title=16218edo&diff=183290&oldid=prev 2025-02-26T20:31:04Z

<p>Created page with &quot;{{Infobox ET}} {{EDO intro|16218}} 16218edo is a strong <a href="/index.php?title=5-limit_system&amp;action=edit&amp;redlink=1" class="new" title="5-limit system (page does not exist)">5-limit system</a>, is <a href="/w/Consistent" class="mw-redirect" title="Consistent">consistent</a> in the <a href="/w/15-odd-limit" title="15-odd-limit">15-odd-limit</a>, and it is a satisfactory 2.3.5.11.19.23.31.37.43 subgro...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET}}<br /> {{EDO intro|16218}}<br /> <br /> 16218edo is a strong [[5-limit system]], is [[consistent]] in the [[15-odd-limit]], and it is a satisfactory 2.3.5.11.19.23.31.37.43 subgroup system in the higher limits.<br /> <br /> While it may not be useful as a system in its own right, it contains many notable xenharmonic systems as subsets, which opens potential for a step of 16218edo being used as an interval size measure.<br /> <br /> === Prime harmonics ===<br /> {{Harmonics in equal|16218|columns=14}}<br /> === Subsets and supersets ===<br /> <br /> Since 16218 factors as {{Factorization|16218}}, 16218edo has subset edos {{EDOs|1, 2, 3, 6, 9, 17, 18, 34, 51, 53, 102, 106, 153, 159, 306, 318, 477, 901, 954, 1802, 2703, 5406, 8109}}.<br /> <br /> Particularly notable subsets are {{EDOs|17 53, 159, 306, 901, and 954}}.<br /> <br /> [[32436edo]], while not as consistent or impressive harmonically, may offer additional possibilites due to inclusion of [[612edo]] in subset edos.</div>

Eliora