https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3AFrancium%2F3271edo 2026-06-25T03:48:08Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=User:Francium/3271edo&diff=222994&oldid=prev 2026-01-31T16:49:50Z

<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 16:49, 31 January 2026</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l71">Line 71:</td> <td colspan="2" class="diff-lineno">Line 71:</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>| 3.49</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>| 3.49</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;">* "Cloimp" from ''Bumbos'' (2026) – [https://open.spotify.com/track/4jp8vr8pRGtH9wLSzB88oD Spotify] | [https://francium223.bandcamp.com/track/cloimp Bandcamp] | [https://www.youtube.com/watch?v=2H3dzgTFgu4 YouTube] – in Clyde, 3271edo tuning</ins></div></td></tr> </table>

Francium https://en.xen.wiki/index.php?title=User:Francium/3271edo&diff=218782&oldid=prev 2025-12-09T14:52:33Z

<p><span class="autocomment">Theory: </span> typo</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 14:52, 9 December 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</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>== Theory ==</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>== Theory ==</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>3271edo is [[consistent]] to the [[5-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. It is strong in the 2.9.5.7.11.13.17.19.31 [[subgroup]], [[tempering out]] [[12376/12375]], [[14400/14399]], [[6175/6174]], [[<del style="font-weight: bold; text-decoration: none;">8123201</del>/123200]], 228096/228095, 1549184/1549125, 27625/27621 and 110825/110808.</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>3271edo is [[consistent]] to the [[5-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. It is strong in the 2.9.5.7.11.13.17.19.31 [[subgroup]], [[tempering out]] [[12376/12375]], [[14400/14399]], [[6175/6174]], [[<ins style="font-weight: bold; text-decoration: none;">123201</ins>/123200]], 228096/228095, 1549184/1549125, 27625/27621 and 110825/110808.</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>=== Odd harmonics ===</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>=== Odd harmonics ===</div></td></tr> </table>

Francium https://en.xen.wiki/index.php?title=User:Francium/3271edo&diff=218781&oldid=prev 2025-12-09T14:52:14Z

<p>Created page with &quot;{{Infobox ET}} {{ED intro}} == Theory == 3271edo is <a href="/w/Consistent" class="mw-redirect" title="Consistent">consistent</a> to the <a href="/w/5-limit" title="5-limit">5-limit</a> and its <a href="/w/Harmonic" title="Harmonic">harmonic</a> <a href="/w/3/1" title="3/1">3</a> is about halfway its steps. It is strong in the 2.9.5.7.11.13.17.19.31 <a href="/w/Subgroup" class="mw-redirect" title="Subgroup">subgroup</a>, <a href="/w/Tempering_out" title="Tempering out">tempering out</a> <a href="/w/12376/12375" class="mw-redirect" title="12376/12375">12376/12375</a>, <a href="/w/14400/14399" class="mw-redirect" title="14400/14399">14400/14399</a>, <a href="/w/6175/6174" title="6175/6174">6175/6174</a>, <a href="/index.php?title=8123201/123200&amp;action=edit&amp;redlink=1" class="new" title="8123201/123200 (page does not exist)">8123201/123200</a>, 228096/228095, 1549184/1549125, 27625/27621 and 110825/110808. === Odd harmonics === {{Harmonics in equal|3271}} === Subsets and supersets === 3271edo is the 462nd <a href="/w/Prime_edo" class="mw-redirect" title="Prime edo">prime edo</a>. 65...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET}}<br /> {{ED intro}}<br /> <br /> == Theory ==<br /> 3271edo is [[consistent]] to the [[5-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. It is strong in the 2.9.5.7.11.13.17.19.31 [[subgroup]], [[tempering out]] [[12376/12375]], [[14400/14399]], [[6175/6174]], [[8123201/123200]], 228096/228095, 1549184/1549125, 27625/27621 and 110825/110808.<br /> <br /> === Odd harmonics ===<br /> {{Harmonics in equal|3271}}<br /> <br /> === Subsets and supersets ===<br /> 3271edo is the 462nd [[prime edo]]. [[6542edo]], which doubles it, gives a good correction to the harmonic 3.<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 /> | 2.9<br /> | {{monzo|10369 -3271}}<br /> | {{mapping|3271 10369}}<br /> | −0.0101<br /> | 0.0101<br /> | 2.75<br /> |-<br /> | 2.9.5<br /> | {{monzo|144 -11 -47}}, {{monzo|95 -60 41}}<br /> | {{mapping|3271 10369 7595}}<br /> | −0.0054<br /> | 0.0107<br /> | 2.92<br /> |-<br /> | 2.9.5.7<br /> | 282475249000/282429536481, 70368744177664/70338939985125, 19073486328125/19062721117944<br /> | {{mapping|3271 10369 7595 9183}}<br /> | −0.0087<br /> | 0.0109<br /> | 2.97<br /> |-<br /> | 2.9.5.7.11<br /> | 56953125/56942116, 184549376/184528125, 3294225/3294172, 29541015625/29530050606<br /> | {{mapping|3271 10369 7595 9183 11316}}<br /> | −0.0111<br /> | 0.0109<br /> | 2.97<br /> |-<br /> | 2.9.5.7.11.13<br /> | 123201/123200, 6656/6655, 8859375/8859136, 823680/823543, 43061200/43046721<br /> | {{mapping|3271 10369 7595 9183 11316 12104}}<br /> | −0.0070<br /> | 0.0136<br /> | 3.71<br /> |-<br /> | 2.9.5.7.11.13.17<br /> | 12376/12375, 14400/14399, 123201/123200, 4685824/4685625, 361250/361179, 81331250/81310473<br /> | {{mapping|3271 10369 7595 9183 11316 12104 13370}}<br /> | −0.0048<br /> | 0.0137<br /> | 3.73<br /> |-<br /> | 2.9.5.7.11.13.17.19<br /> | 12376/12375, 14400/14399, 6175/6174, 123201/123200, 228096/228095, 1549184/1549125, 8978125/8975448<br /> | {{mapping|3271 10369 7595 9183 11316 12104 13370 13895}}<br /> | −0.0045<br /> | 0.0128<br /> | 3.49<br /> |}</div>

Francium