https://en.xen.wiki/index.php?action=history&feed=atom&title=4007edo 2026-06-30T07:40:41Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=4007edo&diff=196605&oldid=prev 2025-05-18T15:13:28Z

<p>+music</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 15:13, 18 May 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l58">Line 58:</td> <td colspan="2" class="diff-lineno">Line 58:</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>| 3.61</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>| 3.61</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;"><div>|}</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>|}</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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;">== Music ==</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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;">; [[Francium]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></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;">* "Void Demon" from ''Void'' (2025) – [https://open.spotify.com/track/2dDbEUCdfVQW9Q0pGZLEQN Spotify] | [https://francium223.bandcamp.com/track/void-demon Bandcamp] | [https://www.youtube.com/watch?v=6eJ-F0sppBc YouTube]</ins></div></td></tr> </table>

Francium https://en.xen.wiki/index.php?title=4007edo&diff=184686&oldid=prev 2025-03-05T14:10:22Z

<p>Created page with &quot;{{Infobox ET}} {{ED intro}} == Theory == 4007edo is <a href="/w/Consistent" class="mw-redirect" title="Consistent">consistent</a> to the <a href="/w/15-odd-limit" title="15-odd-limit">15-odd-limit</a>, <a href="/w/Tempering_out" title="Tempering out">tempering out</a> <a href="/w/10648/10647" class="mw-redirect" title="10648/10647">10648/10647</a>, <a href="/w/1990656/1990625" class="mw-redirect" title="1990656/1990625">1990656/1990625</a>, 1146880/1146717, 105644/10...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET}}<br /> {{ED intro}}<br /> <br /> == Theory ==<br /> 4007edo is [[consistent]] to the [[15-odd-limit]], [[tempering out]] [[10648/10647]], [[1990656/1990625]], 1146880/1146717, 105644/105625 and [[140625/140608]] in the [[13-limit]]. It is strong in the 2.3.5.7.11.23.29 [[subgroup]], tempering out 30625/30624, 150920/150903, [[151263/151250]], 53361/53360, 25921/25920 and 1507328/1507275. Using the 11-limit, it tempers out [[1771561/1771470]]. Using the 2.3.5.7.11.13.41 subgroup, it tempers out [[6930/6929]].<br /> <br /> === Prime harmonics ===<br /> {{Harmonics in equal|4007}}<br /> <br /> === Subsets and supersets ===<br /> 4007edo is the 553rd [[prime edo]].<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|6351 -4007}}<br /> | {{mapping|4007 6351}}<br /> | −0.0052<br /> | 0.0052<br /> | 1.74<br /> |-<br /> | 2.3.5<br /> | {{monzo|-36 -52 51}}, {{monzo|145 -49 -29}}<br /> | {{mapping|4007 6351 9304}}<br /> | −0.0049<br /> | 0.0043<br /> | 1.44<br /> |-<br /> | 2.3.5.7<br /> | 78125000/78121827, {{monzo|-1 -18 -3 13}}, {{monzo|-48 0 11 8}}<br /> | {{mapping|4007 6351 9304 11249}}<br /> | −0.0018<br /> | 0.0066<br /> | 2.20<br /> |-<br /> | 2.3.5.7.11<br /> | 151263/151250, 21437500/21434787, 184549376/184528125, 246071287/246037500<br /> | {{mapping|4007 6351 9304 11249 13862}}<br /> | −0.0024<br /> | 0.0060<br /> | 2.00<br /> |-<br /> | 2.3.5.7.11.13<br /> | 10648/10647, 1990656/1990625, 1146880/1146717, 105644/105625, 140625/140608<br /> | {{mapping|4007 6351 9304 11249 13862 14828}}<br /> | −0.0066<br /> | 0.0108<br /> | 3.61<br /> |}</div>

Francium