https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3AEliora%2F2026edo 2026-09-04T16:48:05Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=User:Eliora/2026edo&diff=236394&oldid=prev 2026-08-28T19:57:22Z

<p><span class="autocomment">Prime harmonics</span></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 19:57, 28 August 2026</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l24">Line 24:</td> <td colspan="2" class="diff-lineno">Line 24:</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>{{Harmonics in equal|2026|prec=3|columns=13}}</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>{{Harmonics in equal|2026|prec=3|columns=13}}</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>{{Harmonics in equal|2026|prec=3|columns=13|start=14|collapsed=true|title=Approximation of prime harmonics in <del style="font-weight: bold; text-decoration: none;">311edo </del>(continued)}}</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>{{Harmonics in equal|2026|prec=3|columns=13|start=14|collapsed=true|title=Approximation of prime harmonics in <ins style="font-weight: bold; text-decoration: none;">2026edo </ins>(continued)}}</div></td></tr> </table>

Eliora https://en.xen.wiki/index.php?title=User:Eliora/2026edo&diff=236393&oldid=prev 2026-08-28T19:57:05Z

<p>Created page with &quot;{{Infobox ET|2026edo}} {{ED intro|2026edo}} 2026edo is consistent in the 5-odd-limit. Overall though, it has a substantially poor harmonic quality. The best harmonic up to 101st harmonic is 13th. Nonetheless, despite inconsistency, in the 23-limit, the patent val beats all the others in accuracy. Some commas it tempers out are: [2, -1, 4, -2, 0, 0, -1, 0, 0⟩ (2500:2499) [2, 2, 1, -1, 0, 0, 1, -1, -1⟩ (3060:3059) [0, 1, 1, -1, 0, 1, 0, 1, -2⟩ (3705:3703) [-1, -1,...&quot;</p> <p><b>New page</b></p><div>{{Infobox ET|2026edo}}<br /> {{ED intro|2026edo}}<br /> <br /> 2026edo is consistent in the 5-odd-limit. Overall though, it has a substantially poor harmonic quality. The best harmonic up to 101st harmonic is 13th.<br /> <br /> Nonetheless, despite inconsistency, in the 23-limit, the patent val beats all the others in accuracy.<br /> <br /> Some commas it tempers out are:<br /> [2, -1, 4, -2, 0, 0, -1, 0, 0⟩ (2500:2499)<br /> [2, 2, 1, -1, 0, 0, 1, -1, -1⟩ (3060:3059)<br /> [0, 1, 1, -1, 0, 1, 0, 1, -2⟩ (3705:3703)<br /> [-1, -1, 0, -1, -2, 1, 1, 0, 1⟩ (5083:5082)<br /> [4, -1, -2, -1, -1, 0, 0, 2, 0⟩ (5776:5775)<br /> [0, -3, 2, 0, 0, -1, 1, 1, -1⟩ (8075:8073)<br /> [-10, -1, 1, -1, 1, 0, 1, 0, 1⟩ (21505:21504)<br /> [3, -3, -1, -1, 1, 1, 0, 1, -1⟩ (21736:21735)<br /> [-6, 0, 2, 1, 1, 1, -1, 0, -1⟩ (25025:25024)<br /> [8, -2, 0, 0, -1, 2, 0, -1, -1⟩ (43264:43263)<br /> [1, -2, 4, -3, -2, 1, 0, 0, 1⟩ (373750:373527)<br /> [0, 0, -1, 2, 0, 4, 0, 0, -4⟩ (1399489:1399205)<br /> [-1, 0, 4, -4, 2, -1, 0, 1, -1⟩ (1436875:1435798)<br /> <br /> === Prime harmonics ===<br /> <br /> {{Harmonics in equal|2026|prec=3|columns=13}}<br /> {{Harmonics in equal|2026|prec=3|columns=13|start=14|collapsed=true|title=Approximation of prime harmonics in 311edo (continued)}}</div>

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