https://en.xen.wiki/index.php?action=history&feed=atom&title=Talk%3ASharpquart 2026-08-03T21:20:36Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=Talk:Sharpquart&diff=188123&oldid=prev 2025-03-25T01:08:41Z

<p><span class="autocomment">Explanation of this temperament and why it&#039;s likely not worth inclusion on the wiki: </span> Added talk page credit</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 01:08, 25 March 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l14">Line 14:</td> <td colspan="2" class="diff-lineno">Line 14:</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>By the way, pretty much all the useful temperaments have already been catalogued, because we&#039;ve searched through all of the lowest-badness temperaments already. (Badness is fast for a computer to calculate, which is why we can find a definitive list of the lowest-badness temperaments in order.)</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>By the way, pretty much all the useful temperaments have already been catalogued, because we&#039;ve searched through all of the lowest-badness temperaments already. (Badness is fast for a computer to calculate, which is why we can find a definitive list of the lowest-badness temperaments in order.)</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;">-- [[User:Hkm]] (25 Mar 2025)</ins></div></td></tr> </table>

BudjarnLambeth https://en.xen.wiki/index.php?title=Talk:Sharpquart&diff=188112&oldid=prev 2025-03-25T00:54:07Z

<p><span class="autocomment">Explanation of this temperament and why it&#039;s likely not worth inclusion on the wiki: </span> new section</p> <p><b>New page</b></p><div>== Explanation of this temperament and why it&#039;s likely not worth inclusion on the wiki ==<br /> <br /> You can find the commas from a mapping by treating a vector in the null space as a monzo. Type this into wolfram-alpha:<br /> <br /> nullspace [[1, 1, 2], [0, 13, 7]]<br /> <br /> and it gives you {(-19x, -7x, 13x): x is in the real numbers}.<br /> <br /> Treating (-19, -7, 13) as a monzo, the corresponding comma is 2^-19 * 3^-7 * 5^13 = 1220703125/1146617856.<br /> <br /> You can check that this is the comma that generates the temperament you described: enter the comma on sintel.pythonanywhere.com, and you will see that the mapping the website gives is the one you described. You can also see that this temperament is very high-badness, so it probably shouldn&#039;t be catalogued on the wiki.<br /> <br /> The size of your generator is close to the size of the [[https://en.xen.wiki/w/Escapade_family#Escapade Escapade]] generator; Escapade is a much lower-badness temperament.<br /> <br /> By the way, pretty much all the useful temperaments have already been catalogued, because we&#039;ve searched through all of the lowest-badness temperaments already. (Badness is fast for a computer to calculate, which is why we can find a definitive list of the lowest-badness temperaments in order.)</div>

Hkm