https://en.xen.wiki/index.php?action=history&feed=atom&title=2233%2F2232 2026-06-10T18:51:37Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=2233/2232&diff=175052&oldid=prev 2025-01-07T14:20:31Z

<p>FloraC moved page <a href="/w/Kuznetsovisma" class="mw-redirect" title="Kuznetsovisma">Kuznetsovisma</a> to <a href="/w/2233/2232" title="2233/2232">2233/2232</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 14:20, 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=2233/2232&diff=170302&oldid=prev 2024-12-14T17:31:47Z

<p>Created page with &quot;{{Infobox Interval | Ratio = 2233/2232 | Name = kuznetsovisma | Color name = 31u29o1oz2 &lt;br&gt; thiwotwenolozo 2nd | Comma = yes }} &#039;&#039;&#039;2233/2232&#039;&#039;&#039;, the &#039;&#039;&#039;kuznetsovisma&#039;&#039;&#039;, is...&quot;</p> <p><b>New page</b></p><div>{{Infobox Interval<br /> | Ratio = 2233/2232<br /> | Name = kuznetsovisma<br /> | Color name = 31u29o1oz2 &lt;br&gt; thiwotwenolozo 2nd<br /> | Comma = yes<br /> }}<br /> <br /> &#039;&#039;&#039;2233/2232&#039;&#039;&#039;, the &#039;&#039;&#039;kuznetsovisma&#039;&#039;&#039;, is a [[31-limit]] [[superparticular interval|superparticular comma]] of about 0.78 [[cent]]s.<br /> <br /> == Commatic relationships ==<br /> This comma is the difference between the following superparticular pairs:<br /> * [[145/144]] and [[155/154]]<br /> * [[187/186]] and [[204/203]]<br /> * [[280/279]] and [[320/319]]<br /> * [[385/384]] and [[465/464]]<br /> * [[406/405]] and [[496/495]]<br /> * [[435/434]] and [[540/539]]<br /> * [[609/608]] and [[837/836]]<br /> * [[931/930]] and [[1596/1595]]<br /> * [[1015/1014]] and [[1860/1859]]<br /> <br /> It can be factored into the following superparticular intervals:<br /> * [[2262/2261]] and [[174097/174096]]<br /> * [[2401/2400]] and [[31900/31899]]<br /> * [[2431/2430]] and [[27405/27404]]<br /> * [[2465/2464]] and [[23716/23715]]<br /> * [[2737/2736]] and [[12122/12121]]<br /> * [[2755/2754]] and [[11781/11780]]<br /> * [[2926/2925]] and [[9425/9424]]<br /> * [[3025/3024]] and [[8526/8525]]<br /> * [[3451/3450]] and [[6325/6324]]<br /> * [[3969/3968]] and [[5104/5103]]<br /> * [[4186/4185]] and [[4785/4784]]<br /> <br /> == Temperaments ==<br /> Tempering out this comma in the full 31-limit leads to the rank-10 temperament &#039;&#039;&#039;kuznetsovismic&#039;&#039;&#039;. Using the 2.3.7.11.29.31 subgroup leads to the rank-5 temperament &#039;&#039;&#039;kuznetsovic&#039;&#039;&#039;.<br /> <br /> === Kuznetsovismic ===<br /> <br /> [[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31<br /> <br /> [[Comma list]]: 2233/2232<br /> <br /> [[Mapping]]: &lt;br&gt;<br /> {| class=&quot;right-all&quot;<br /> |-<br /> | [⟨ || 1 || 1 || 2 || 2 || 3 || 3 || 4 || 4 || 4 || 4 || 4 || ],<br /> |-<br /> | ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || -2 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || 1 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || 0 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || 0 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || 0 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 0 || 0 || ],<br /> |-<br /> | ⟨ || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 1 || 1 || ]]<br /> |}<br /> <br /> [[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.005, ~5/4 = 386.314, ~7/4 = 968.748, ~11/8 = 551.199, ~13/8 = 840.528, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.274, ~29/16 = 1029.343<br /> <br /> === Kuznetsovic ===<br /> <br /> [[Subgroup]]: 2.3.7.11.29.31<br /> <br /> [[Comma list]]: 2233/2232<br /> <br /> [[Mapping]]: &lt;br&gt;<br /> {| class=&quot;right-all&quot;<br /> |-<br /> | [⟨ || 1 || 1 || 2 || 3 || 4 || 4 || ],<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 = 702.005, ~7/4 = 968.748, ~11/8 = 551.199, ~29/16 = 1029.343<br /> <br /> {{Optimal ET sequence|legend=1| 5k, 7dk, 7, 8d, 9jk, 10, 14, 17k, 22, 31jk, 41, 63, 77, 89, 94, 113, 118k, 135, 301, 311, 342, 436, 477, 612, 1089, 1624, 1925j, 2101j, 2578j, 2713j }}<br /> <br /> == Etymology ==<br /> This comma was named by [[Francium]] in 2024. It refers to {{W|2233 Kuznetsov}}, the asteroid, which in turn was named after {{W|Nikolai Kuznetsov}}, a Soviet partisan and intelligence agent.<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