https://en.xen.wiki/index.php?action=history&feed=atom&title=3312%2F3311 2026-06-08T01:18:45Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=3312/3311&diff=175060&oldid=prev 2025-01-07T14:22:10Z

<p>FloraC moved page <a href="/w/Pedersenisma" class="mw-redirect" title="Pedersenisma">Pedersenisma</a> to <a href="/w/3312/3311" title="3312/3311">3312/3311</a> over redirect: 8-digit ratios are okay as page titles</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:22, 7 January 2025</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

FloraC https://en.xen.wiki/index.php?title=3312/3311&diff=174898&oldid=prev 2025-01-06T17:07:24Z

<p>Created page with &quot;{{Infobox Interval | Ratio = 3312/3311 | Name = pedersenisma | Color name = 43u23o1ur1 &lt;br&gt; fothutwetholuru unison | Comma = yes }} &#039;&#039;&#039;3312/3311&#039;&#039;&#039;, the &#039;&#039;&#039;pedersenisma&#039;&#039;&#039;, i...&quot;</p> <p><b>New page</b></p><div>{{Infobox Interval<br /> | Ratio = 3312/3311<br /> | Name = pedersenisma<br /> | Color name = 43u23o1ur1 &lt;br&gt; fothutwetholuru unison<br /> | Comma = yes<br /> }}<br /> <br /> &#039;&#039;&#039;3312/3311&#039;&#039;&#039;, the &#039;&#039;&#039;pedersenisma&#039;&#039;&#039;, is a [[43-limit]] [[superparticular interval|superparticular comma]] of about 0.52 [[cent]]s.<br /> <br /> == Commatic relationships ==<br /> This comma is the difference between the following superparticular pairs:<br /> * [[216/215]] and [[231/230]]<br /> * [[276/275]] and [[301/300]]<br /> * [[345/344]] and [[385/384]]<br /> <br /> It can be factored into the following superparticular intervals:<br /> * [[3381/3380]] and [[162240/162239]]<br /> * [[3510/3509]] and [[58696/58695]]<br /> * [[3565/3564]] and [[46656/46655]]<br /> * [[3774/3773]] and [[27048/27047]]<br /> * [[4000/3999]] and [[19251/19250]]<br /> * [[4301/4300]] and [[14400/14399]]<br /> * [[4761/4760]] and [[10880/10879]]<br /> * [[5083/5082]] and [[9504/9503]]<br /> * [[5376/5375]] and [[8625/8624]]<br /> * [[5720/5719]] and [[7866/7865]]<br /> * [[5888/5887]] and [[7569/7568]]<br /> <br /> == Temperaments ==<br /> Tempering out this comma in the full 43-limit leads to the rank-13 temperament &#039;&#039;&#039;pedersenismic&#039;&#039;&#039;. Using the 2.3.7.11.23.43 subgroup leads to the rank-5 temperament &#039;&#039;&#039;pedersenic&#039;&#039;&#039;.<br /> <br /> === Pedersenic ===<br /> <br /> [[Subgroup]]: 2.3.7.11.23.43<br /> <br /> [[Comma list]]: 3312/3311<br /> <br /> [[Mapping]]: &lt;br&gt;<br /> {| class=&quot;right-all&quot;<br /> |-<br /> | [⟨ || 1 || 1 || 2 || 3 || 4 || 5 || ],<br /> |-<br /> | ⟨ || 0 || 1 || 0 || 0 || 0 || 2 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 1 || 0 || -1 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 0 || 1 || 1 || ]]<br /> |}<br /> <br /> [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.922, ~7/4 = 968.878, ~11/8 = 551.396, ~23/16 = 628.140<br /> <br /> {{Optimal ET sequence|legend=1| 5i, 7di, 7, 8din, 9in, 10, 12e, 12i, 14, 17, 22n, 24i, 31, 58i, 63, 89, 94, 113, 135, 152, 176, 176, 207, 165, 328, 342, 359, 535, 670, 701, 877, 1029, 1236, 1906n, 2607n, 3142n, 3843n }}<br /> <br /> == Etymology ==<br /> This comma was named by [[Francium]] in 2025. It refers to {{W|3312 Pedersen}}, the asteroid, which in turn was named after {{W|Holger Pedersen}}, a Danish astronomer.<br /> <br /> == See also ==<br /> * [[Unnoticeable comma]]<br /> * [[List of superparticular intervals]]<br /> <br /> [[Category:Commas named after asteroids]]<br /> [[Category:Commas named after individuals]]</div>

Francium