https://en.xen.wiki/index.php?action=history&feed=atom&title=141edo 2026-06-28T09:36:18Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=141edo&diff=218085&oldid=prev 2025-11-28T02:14:50Z

<p></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 02:14, 28 November 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l4">Line 4:</td> <td colspan="2" class="diff-lineno">Line 4:</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>141edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]]s [[3/1|3]] and [[5/1|5]] are about halfway between its steps. It has fairly good approximations to [[7/1|7]], [[9/1|9]], [[11/1|11]], [[13/1|13]], [[15/1|15]], [[19/1|19]], and [[23/1|23]], lending itself to a 2.9.15.7.11.13.19.23 [[subgroup]] interpretation, in which it is equivalent to every other step of the monstrous [[282edo]].  </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>141edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]]s [[3/1|3]] and [[5/1|5]] are about halfway between its steps. It has fairly good approximations to [[7/1|7]], [[9/1|9]], [[11/1|11]], [[13/1|13]], [[15/1|15]], [[19/1|19]], and [[23/1|23]], lending itself to a 2.9.15.7.11.13.19.23 [[subgroup]] interpretation, in which it is equivalent to every other step of the monstrous [[282edo]].  </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" 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>Using the 13-limit [[patent val]] nonetheless, it [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) and 8968066875/8589934592 (sentinel comma) in the 5-limit; [[1728/1715]], 3645/3584, and 78125/76832 in the 7-limit; [[441/440]], 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; [[144/143]], [[351/350]], [[640/637]], 975/968, and 3375/3328 in the 13-limit. Using the alternative 141f val, it tempers out [[169/168]], [[364/363]], [[625/624]], [[1287/1280]], and 2025/2002 in the 13-limit. Using the alternative 141ef val, it tempers out [[99/98]], [[243/242]], [[385/384]], and 125000/124509 in the 11-limit; 169/168, 625/624, [[1001/1000]], and [[1188/1183]] in the 13-limit.  </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>Using the 13-limit [[patent val]] nonetheless, it [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) and 8968066875/8589934592 (sentinel comma) in the 5-limit; [[1728/1715]], 3645/3584, and 78125/76832 in the 7-limit; [[441/440]], 1350/1331, 1944/1925, and <ins style="font-weight: bold; text-decoration: none;">[[</ins>4125/4096<ins style="font-weight: bold; text-decoration: none;">]] </ins>in the 11-limit; [[144/143]], [[351/350]], [[640/637]], 975/968, and 3375/3328 in the 13-limit. Using the alternative 141f val, it tempers out [[169/168]], [[364/363]], [[625/624]], [[1287/1280]], and 2025/2002 in the 13-limit. Using the alternative 141ef val, it tempers out [[99/98]], [[243/242]], [[385/384]], and 125000/124509 in the 11-limit; 169/168, 625/624, [[1001/1000]], and [[1188/1183]] in the 13-limit.  </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>Using the 141def val, it tempers out [[225/224]], 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, [[847/845]], [[1573/1568]], and 3185/3168 in the 13-limit.  </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>Using the 141def val, it tempers out [[225/224]], 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, [[847/845]], [[1573/1568]], and 3185/3168 in the 13-limit.  </div></td></tr> </table>

Neutraldown https://en.xen.wiki/index.php?title=141edo&diff=182074&oldid=prev 2025-02-20T19:28:43Z

<p></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 19:28, 20 February 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}}</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>141edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]]s [[3/1|3]] and [[5/1|5]] are about halfway between its steps. It has fairly good approximations to [[7/1|7]], [[9/1|9]], [[11/1|11]], [[13/1|13]], [[15/1|15]], [[19/1|19]], and [[23/1|23]], lending itself to a 2.9.15.7.11.13.19.23 [[subgroup]] interpretation, in which it is equivalent to every other step of the monstrous [[282edo]].  </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>141edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]]s [[3/1|3]] and [[5/1|5]] are about halfway between its steps. It has fairly good approximations to [[7/1|7]], [[9/1|9]], [[11/1|11]], [[13/1|13]], [[15/1|15]], [[19/1|19]], and [[23/1|23]], lending itself to a 2.9.15.7.11.13.19.23 [[subgroup]] interpretation, in which it is equivalent to every other step of the monstrous [[282edo]].  </div></td></tr> </table>

ArrowHead294 https://en.xen.wiki/index.php?title=141edo&diff=144154&oldid=prev 2024-05-21T07:23:04Z

<p>Subgroup interpretation; +subsets and supersets</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 07:23, 21 May 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Line 2:</td> <td colspan="2" class="diff-lineno">Line 2:</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>{{EDO intro}}</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>{{EDO 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" 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>Using the [[patent val]], it [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) and 8968066875/8589934592 (sentinel comma) in the 5-limit; [[1728/1715]], 3645/3584, and 78125/76832 in the 7-limit; [[441/440]], 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; [[144/143]], [[351/350]], [[640/637]], 975/968, and 3375/3328 in the 13-limit. Using the alternative 141f val, it tempers out [[169/168]], [[364/363]], [[625/624]], [[1287/1280]], and 2025/2002 in the 13-limit. Using the alternative 141ef val, it tempers out [[99/98]], [[243/242]], [[385/384]], and 125000/124509 in the 11-limit; 169/168, 625/624, [[1001/1000]], and [[1188/1183]] in the 13-limit.  </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;">141edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]]s [[3/1|3]] and [[5/1|5]] are about halfway between its steps. It has fairly good approximations to [[7/1|7]], [[9/1|9]], [[11/1|11]], [[13/1|13]], [[15/1|15]], [[19/1|19]], and [[23/1|23]], lending itself to a 2.9.15.7.11.13.19.23 [[subgroup]] interpretation, in which it is equivalent to every other step of the monstrous [[282edo]]. </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> </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>Using the <ins style="font-weight: bold; text-decoration: none;">13-limit </ins>[[patent val]] <ins style="font-weight: bold; text-decoration: none;">nonetheless</ins>, it [[tempering out|tempers out]] 78732/78125 ([[sensipent comma]]) and 8968066875/8589934592 (sentinel comma) in the 5-limit; [[1728/1715]], 3645/3584, and 78125/76832 in the 7-limit; [[441/440]], 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; [[144/143]], [[351/350]], [[640/637]], 975/968, and 3375/3328 in the 13-limit. Using the alternative 141f val, it tempers out [[169/168]], [[364/363]], [[625/624]], [[1287/1280]], and 2025/2002 in the 13-limit. Using the alternative 141ef val, it tempers out [[99/98]], [[243/242]], [[385/384]], and 125000/124509 in the 11-limit; 169/168, 625/624, [[1001/1000]], and [[1188/1183]] in the 13-limit.  </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>Using the 141def val, it tempers out [[225/224]], 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, [[847/845]], [[1573/1568]], and 3185/3168 in the 13-limit.  </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>Using the 141def val, it tempers out [[225/224]], 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, [[847/845]], [[1573/1568]], and 3185/3168 in the 13-limit.  </div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10">Line 10:</td> <td colspan="2" class="diff-lineno">Line 12:</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>Using the 141b val, it tempers out 2109375/2097152 ([[semicomma]]) and 244140625/229582512 in the 5-limit; [[875/864]], [[16875/16807]], and 65536/64827 in the 7-limit; [[100/99]], 385/384, 1331/1323, and 60368/59049 in the 11-limit; [[275/273]], 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit.  </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>Using the 141b val, it tempers out 2109375/2097152 ([[semicomma]]) and 244140625/229582512 in the 5-limit; [[875/864]], [[16875/16807]], and 65536/64827 in the 7-limit; [[100/99]], 385/384, 1331/1323, and 60368/59049 in the 11-limit; [[275/273]], 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit.  </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" 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>== Odd harmonics ==</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;">=</ins>== Odd harmonics <ins style="font-weight: bold; text-decoration: none;">=</ins>==</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>{{Harmonics in equal|141}}</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|141}}</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;">=== Subsets and supersets ===</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;">Since 141 factors into {{factorization|141}}, 141edo contains [[3edo]] and [[47edo]] as its subsets. 282edo, which doubles it, provides good correction for the approximation to harmonics 3 and 5.</ins></div></td></tr> </table>

FloraC https://en.xen.wiki/index.php?title=141edo&diff=144153&oldid=prev 2024-05-21T07:13:21Z

<p>Cleanup and group by similarity</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 07:13, 21 May 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Line 2:</td> <td colspan="2" class="diff-lineno">Line 2:</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>{{EDO intro}}</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>{{EDO 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" 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>Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (<del style="font-weight: bold; text-decoration: none;">trilaquadyo </del>comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit.  </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>Using the <ins style="font-weight: bold; text-decoration: none;">[[</ins>patent val<ins style="font-weight: bold; text-decoration: none;">]]</ins>, it <ins style="font-weight: bold; text-decoration: none;">[[tempering out|</ins>tempers out<ins style="font-weight: bold; text-decoration: none;">]] </ins>78732/78125 (<ins style="font-weight: bold; text-decoration: none;">[[</ins>sensipent comma<ins style="font-weight: bold; text-decoration: none;">]]</ins>) and 8968066875/8589934592 (<ins style="font-weight: bold; text-decoration: none;">sentinel </ins>comma) in the 5-limit; <ins style="font-weight: bold; text-decoration: none;">[[</ins>1728/1715<ins style="font-weight: bold; text-decoration: none;">]]</ins>, 3645/3584, and 78125/76832 in the 7-limit; <ins style="font-weight: bold; text-decoration: none;">[[</ins>441/440<ins style="font-weight: bold; text-decoration: none;">]]</ins>, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; <ins style="font-weight: bold; text-decoration: none;">[[</ins>144/143<ins style="font-weight: bold; text-decoration: none;">]]</ins>, <ins style="font-weight: bold; text-decoration: none;">[[</ins>351/350<ins style="font-weight: bold; text-decoration: none;">]]</ins>, <ins style="font-weight: bold; text-decoration: none;">[[</ins>640/637<ins style="font-weight: bold; text-decoration: none;">]]</ins>, 975/968, and 3375/3328 <ins style="font-weight: bold; text-decoration: none;">in the 13-limit. Using the alternative 141f val, it tempers out [[169/168]], [[364/363]], [[625/624]], [[1287/1280]], and 2025/2002 in the 13-limit. Using the alternative 141ef val, it tempers out [[99/98]], [[243/242]], [[385/384]], and 125000/124509 in the 11-limit; 169/168, 625/624, [[1001/1000]], and [[1188/1183]] </ins>in the 13-limit.  </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" 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>Using the <del style="font-weight: bold; text-decoration: none;">141b </del>val, it tempers out <del style="font-weight: bold; text-decoration: none;">2109375</del>/<del style="font-weight: bold; text-decoration: none;">2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864</del>, <del style="font-weight: bold; text-decoration: none;">16875</del>/<del style="font-weight: bold; text-decoration: none;">16807</del>, and <del style="font-weight: bold; text-decoration: none;">65536</del>/<del style="font-weight: bold; text-decoration: none;">64827 </del>in the 7-limit; <del style="font-weight: bold; text-decoration: none;">100</del>/<del style="font-weight: bold; text-decoration: none;">99</del>, <del style="font-weight: bold; text-decoration: none;">385</del>/<del style="font-weight: bold; text-decoration: none;">384</del>, <del style="font-weight: bold; text-decoration: none;">1331</del>/<del style="font-weight: bold; text-decoration: none;">1323</del>, and <del style="font-weight: bold; text-decoration: none;">60368</del>/<del style="font-weight: bold; text-decoration: none;">59049 </del>in the 11-limit; <del style="font-weight: bold; text-decoration: none;">275</del>/<del style="font-weight: bold; text-decoration: none;">273</del>, <del style="font-weight: bold; text-decoration: none;">364</del>/<del style="font-weight: bold; text-decoration: none;">363</del>, <del style="font-weight: bold; text-decoration: none;">572</del>/<del style="font-weight: bold; text-decoration: none;">567</del>, <del style="font-weight: bold; text-decoration: none;">640</del>/<del style="font-weight: bold; text-decoration: none;">637</del>, and <del style="font-weight: bold; text-decoration: none;">9604</del>/<del style="font-weight: bold; text-decoration: none;">9477 </del>in the 13-limit.  </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>Using the <ins style="font-weight: bold; text-decoration: none;">141def </ins>val, it tempers out <ins style="font-weight: bold; text-decoration: none;">[[225</ins>/<ins style="font-weight: bold; text-decoration: none;">224]]</ins>, <ins style="font-weight: bold; text-decoration: none;">84035</ins>/<ins style="font-weight: bold; text-decoration: none;">82944</ins>, and <ins style="font-weight: bold; text-decoration: none;">177147</ins>/<ins style="font-weight: bold; text-decoration: none;">175000 </ins>in the 7-limit; <ins style="font-weight: bold; text-decoration: none;">243</ins>/<ins style="font-weight: bold; text-decoration: none;">242</ins>, <ins style="font-weight: bold; text-decoration: none;">1617</ins>/<ins style="font-weight: bold; text-decoration: none;">1600</ins>, <ins style="font-weight: bold; text-decoration: none;">2079</ins>/<ins style="font-weight: bold; text-decoration: none;">2048</ins>, and <ins style="font-weight: bold; text-decoration: none;">12005</ins>/<ins style="font-weight: bold; text-decoration: none;">11979 </ins>in the 11-limit; <ins style="font-weight: bold; text-decoration: none;">351</ins>/<ins style="font-weight: bold; text-decoration: none;">350</ins>, <ins style="font-weight: bold; text-decoration: none;">625</ins>/<ins style="font-weight: bold; text-decoration: none;">624</ins>, <ins style="font-weight: bold; text-decoration: none;">[[847</ins>/<ins style="font-weight: bold; text-decoration: none;">845]]</ins>, <ins style="font-weight: bold; text-decoration: none;">[[1573</ins>/<ins style="font-weight: bold; text-decoration: none;">1568]]</ins>, and <ins style="font-weight: bold; text-decoration: none;">3185</ins>/<ins style="font-weight: bold; text-decoration: none;">3168 </ins>in the 13-limit.  </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" 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>Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/<del style="font-weight: bold; text-decoration: none;">50400 </del>in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit.  </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>Using the 141bc val, it tempers out 1638400/1594323 (<ins style="font-weight: bold; text-decoration: none;">[[</ins>immunity comma<ins style="font-weight: bold; text-decoration: none;">]]</ins>) and 50331648/48828125 (magus comma) in the 5-limit; <ins style="font-weight: bold; text-decoration: none;">[[</ins>245/243<ins style="font-weight: bold; text-decoration: none;">]]</ins>, 28672/28125, and <ins style="font-weight: bold; text-decoration: none;">[[</ins>50421/<ins style="font-weight: bold; text-decoration: none;">50000]] </ins>in the 7-limit; <ins style="font-weight: bold; text-decoration: none;">[[</ins>176/175<ins style="font-weight: bold; text-decoration: none;">]]</ins>, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; <ins style="font-weight: bold; text-decoration: none;">[[</ins>196/195<ins style="font-weight: bold; text-decoration: none;">]]</ins>, <ins style="font-weight: bold; text-decoration: none;">[[</ins>325/324<ins style="font-weight: bold; text-decoration: none;">]]</ins>, 364/363, 572/567, and 15379/15360 in the 13-limit.  </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" 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>Using the <del style="font-weight: bold; text-decoration: none;">141def </del>val, it tempers out <del style="font-weight: bold; text-decoration: none;">225</del>/<del style="font-weight: bold; text-decoration: none;">224</del>, <del style="font-weight: bold; text-decoration: none;">84035</del>/<del style="font-weight: bold; text-decoration: none;">82944</del>, and <del style="font-weight: bold; text-decoration: none;">177147</del>/<del style="font-weight: bold; text-decoration: none;">175000 </del>in the 7-limit; <del style="font-weight: bold; text-decoration: none;">243</del>/<del style="font-weight: bold; text-decoration: none;">242</del>, <del style="font-weight: bold; text-decoration: none;">1617</del>/<del style="font-weight: bold; text-decoration: none;">1600</del>, <del style="font-weight: bold; text-decoration: none;">2079</del>/<del style="font-weight: bold; text-decoration: none;">2048</del>, and <del style="font-weight: bold; text-decoration: none;">12005</del>/<del style="font-weight: bold; text-decoration: none;">11979 </del>in the 11-limit; <del style="font-weight: bold; text-decoration: none;">351</del>/<del style="font-weight: bold; text-decoration: none;">350</del>, <del style="font-weight: bold; text-decoration: none;">625</del>/<del style="font-weight: bold; text-decoration: none;">624</del>, <del style="font-weight: bold; text-decoration: none;">847</del>/<del style="font-weight: bold; text-decoration: none;">845</del>, <del style="font-weight: bold; text-decoration: none;">1573</del>/<del style="font-weight: bold; text-decoration: none;">1568</del>, and <del style="font-weight: bold; text-decoration: none;">3185</del>/<del style="font-weight: bold; text-decoration: none;">3168 </del>in the 13-limit.  </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>Using the <ins style="font-weight: bold; text-decoration: none;">141b </ins>val, it tempers out <ins style="font-weight: bold; text-decoration: none;">2109375</ins>/<ins style="font-weight: bold; text-decoration: none;">2097152 ([[semicomma]]) and 244140625/229582512 in the 5-limit; [[875/864]]</ins>, <ins style="font-weight: bold; text-decoration: none;">[[16875</ins>/<ins style="font-weight: bold; text-decoration: none;">16807]]</ins>, and <ins style="font-weight: bold; text-decoration: none;">65536</ins>/<ins style="font-weight: bold; text-decoration: none;">64827 </ins>in the 7-limit; <ins style="font-weight: bold; text-decoration: none;">[[100</ins>/<ins style="font-weight: bold; text-decoration: none;">99]]</ins>, <ins style="font-weight: bold; text-decoration: none;">385</ins>/<ins style="font-weight: bold; text-decoration: none;">384</ins>, <ins style="font-weight: bold; text-decoration: none;">1331</ins>/<ins style="font-weight: bold; text-decoration: none;">1323</ins>, and <ins style="font-weight: bold; text-decoration: none;">60368</ins>/<ins style="font-weight: bold; text-decoration: none;">59049 </ins>in the 11-limit; <ins style="font-weight: bold; text-decoration: none;">[[275</ins>/<ins style="font-weight: bold; text-decoration: none;">273]]</ins>, <ins style="font-weight: bold; text-decoration: none;">364</ins>/<ins style="font-weight: bold; text-decoration: none;">363</ins>, <ins style="font-weight: bold; text-decoration: none;">572</ins>/<ins style="font-weight: bold; text-decoration: none;">567</ins>, <ins style="font-weight: bold; text-decoration: none;">640</ins>/<ins style="font-weight: bold; text-decoration: none;">637</ins>, and <ins style="font-weight: bold; text-decoration: none;">9604</ins>/<ins style="font-weight: bold; text-decoration: none;">9477 </ins>in the 13-limit.  </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" 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;">Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. </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;">Odd harmonics </ins>==</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> </div></td><td colspan="2" class="diff-side-added"></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;">Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</del></div></td><td colspan="2" class="diff-side-added"></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> </div></td><td colspan="2" class="diff-side-added"></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;">Harnonics </del>==</div></td><td colspan="2" class="diff-side-added"></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|141}}</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|141}}</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;"></del></div></td><td colspan="2" class="diff-side-added"></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;">[[Category:Equal divisions of the octave|###]] &lt;!-- 3-digit number --&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

FloraC https://en.xen.wiki/index.php?title=141edo&diff=133217&oldid=prev 2024-01-28T02:21:53Z

<p></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 02:21, 28 January 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2">Line 2:</td> <td colspan="2" class="diff-lineno">Line 2:</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>{{EDO intro}}</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>{{EDO 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" 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>Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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>Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit.  </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> </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>Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit.  </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> </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>Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit.  </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> </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>Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit.  </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> </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>Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit.  </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> </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>Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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>== Harnonics ==</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>== Harnonics ==</div></td></tr> </table>

BudjarnLambeth https://en.xen.wiki/index.php?title=141edo&diff=133216&oldid=prev 2024-01-28T02:20:52Z

<p>Edo intro, harmonics</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 02:20, 28 January 2024</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;">'''141edo''' is the [[</del>EDO<del style="font-weight: bold; text-decoration: none;">|equal division of the octave]] into 141 parts of 8.5106 cents each. </del>Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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;">{{</ins>EDO <ins style="font-weight: bold; text-decoration: none;">intro}}</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> </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>Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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> </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;">== Harnonics ==</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;">{{Harmonics in equal|141}}</ins></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>[[Category:Equal divisions of the octave|###]] &lt;!-- 3-digit number --&gt;</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>[[Category:Equal divisions of the octave|###]] &lt;!-- 3-digit number --&gt;</div></td></tr> </table>

BudjarnLambeth https://en.xen.wiki/index.php?title=141edo&diff=96247&oldid=prev 2022-10-04T19:06:09Z

<p></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 19:06, 4 October 2022</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 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;">{{Infobox ET}}</ins></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>&#039;&#039;&#039;141edo&#039;&#039;&#039; is the [[EDO|equal division of the octave]] into 141 parts of 8.5106 cents each. Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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>&#039;&#039;&#039;141edo&#039;&#039;&#039; is the [[EDO|equal division of the octave]] into 141 parts of 8.5106 cents each. Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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>[[Category:Equal divisions of the octave|###]] &lt;!-- 3-digit number --&gt;</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>[[Category:Equal divisions of the octave|###]] &lt;!-- 3-digit number --&gt;</div></td></tr> </table>

Aura https://en.xen.wiki/index.php?title=141edo&diff=92951&oldid=prev 2022-07-02T16:35:26Z

<p>Sort key</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 16:35, 2 July 2022</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>&#039;&#039;&#039;141edo&#039;&#039;&#039; is the [[EDO|equal division of the octave]] into 141 parts of 8.5106 cents each. Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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>&#039;&#039;&#039;141edo&#039;&#039;&#039; is the [[EDO|equal division of the octave]] into 141 parts of 8.5106 cents each. Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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" 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>[[Category:Equal divisions of the octave]]</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>[[Category:Equal divisions of the octave<ins style="font-weight: bold; text-decoration: none;">|###</ins>]] <ins style="font-weight: bold; text-decoration: none;">&lt;!-- 3-digit number --&gt;</ins></div></td></tr> </table>

Fredg999 category edits https://en.xen.wiki/index.php?title=141edo&diff=54994&oldid=prev 2020-12-04T23:13:09Z

<p>Moving from <a href="/w/Category:Edo" title="Category:Edo">Category:Edo</a> to <a href="/w/Category:Equal_divisions_of_the_octave" title="Category:Equal divisions of the octave">Category:Equal divisions of the octave</a> using <a href="/w/C:Help:Cat-a-lot" class="mw-redirect" title="C:Help:Cat-a-lot">Cat-a-lot</a></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 23:13, 4 December 2020</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>&#039;&#039;&#039;141edo&#039;&#039;&#039; is the [[EDO|equal division of the octave]] into 141 parts of 8.5106 cents each. Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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>&#039;&#039;&#039;141edo&#039;&#039;&#039; is the [[EDO|equal division of the octave]] into 141 parts of 8.5106 cents each. Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.</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" 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>[[Category:<del style="font-weight: bold; text-decoration: none;">Edo</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>[[Category:<ins style="font-weight: bold; text-decoration: none;">Equal divisions of the octave</ins>]]</div></td></tr> </table>

Keenan Pepper category edits https://en.xen.wiki/index.php?title=141edo&diff=40787&oldid=prev 2019-03-11T11:24:13Z

<p>Created page with &quot;&#039;&#039;&#039;141edo&#039;&#039;&#039; is the <a href="/w/EDO" title="EDO">equal division of the octave</a> into 141 parts of 8.5106 cents each. Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875...&quot;</p> <p><b>New page</b></p><div>&#039;&#039;&#039;141edo&#039;&#039;&#039; is the [[EDO|equal division of the octave]] into 141 parts of 8.5106 cents each. Using the patent val, it tempers out 78732/78125 (sensipent comma) and 8968066875/8589934592 (trilaquadyo comma) in the 5-limit; 1728/1715, 3645/3584, and 78125/76832 in the 7-limit; 441/440, 1350/1331, 1944/1925, and 4125/4096 in the 11-limit; 144/143, 351/350, 640/637, 975/968, and 3375/3328 in the 13-limit. Using the 141b val, it tempers out 2109375/2097152 (semicomma) and 244140625/229582512 in the 5-limit; 875/864, 16875/16807, and 65536/64827 in the 7-limit; 100/99, 385/384, 1331/1323, and 60368/59049 in the 11-limit; 275/273, 364/363, 572/567, 640/637, and 9604/9477 in the 13-limit. Using the 141bc val, it tempers out 1638400/1594323 (immunity comma) and 50331648/48828125 (magus comma) in the 5-limit; 245/243, 28672/28125, and 50421/50400 in the 7-limit; 176/175, 1232/1215, 1331/1323, and 79233/78125 in the 11-limit; 196/195, 325/324, 364/363, 572/567, and 15379/15360 in the 13-limit. Using the 141def val, it tempers out 225/224, 84035/82944, and 177147/175000 in the 7-limit; 243/242, 1617/1600, 2079/2048, and 12005/11979 in the 11-limit; 351/350, 625/624, 847/845, 1573/1568, and 3185/3168 in the 13-limit. Using the 141ef val, it tempers out 99/98, 243/242, 385/384, and 125000/124509 in the 11-limit; 169/168, 625/624, 1001/1000, and 1188/1183 in the 13-limit. Using the 141f val, it tempers out 169/168, 364/363, 625/624, 1287/1280, and 2025/2002 in the 13-limit.<br /> <br /> [[Category:Edo]]</div>

Xenllium