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2255/2254 - Revision history
2026-06-29T08:01:13Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=2255/2254&diff=182909&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 2255/2254 | Name = qinghaisma | Color name = 41o23u1orry-3 <br> fowotwethuloruruyo negative 3rd | Comma = yes }} '''2255/2254''', the '''qinghais..."
2025-02-24T12:11:03Z
<p>Created page with "{{Infobox Interval | Ratio = 2255/2254 | Name = qinghaisma | Color name = 41o23u1orry-3 <br> fowotwethuloruruyo negative 3rd | Comma = yes }} '''2255/2254''', the '''qinghais..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 2255/2254<br />
| Name = qinghaisma<br />
| Color name = 41o23u1orry-3 <br> fowotwethuloruruyo negative 3rd<br />
| Comma = yes<br />
}}<br />
<br />
'''2255/2254''', the '''qinghaisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.77 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[246/245]] and [[276/275]]<br />
* [[369/368]] and [[441/440]]<br />
* [[484/483]] and [[616/615]]<br />
* [[820/819]] and [[1288/1287]]<br />
<br />
It can be factored into the following superparticular intervals:<br />
* [[2262/2261]] and [[728365/728364]]<br />
* [[2500/2499]] and [[23001/23000]]<br />
* [[2640/2639]] and [[15457/15456]]<br />
* [[3025/3024]] and [[8856/8855]]<br />
* [[3060/3059]] and [[8569/8568]]<br />
* [[3520/3519]] and [[6273/6272]]<br />
* [[3690/3689]] and [[5797/5796]]<br />
* [[4264/4263]] and [[4785/4784]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''qinghaismic'''. Using the 2.5.7.11.23.41 subgroup leads to the rank-5 temperament '''qinghaic'''.<br />
<br />
=== Qinghaic ===<br />
<br />
[[Subgroup]]: 2.5.7.11.23.41<br />
<br />
[[Comma list]]: 2255/2254<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 2 || 2 || 3 || 4 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || 2 || ],<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, ~5/4 = 386.271, ~7/4 = 968.949, ~11/8 = 551.224, ~23/16 = 628.435<br />
<br />
{{Optimal ET sequence|legend=1| 4, 6, 9, 12im, 15, 20, 22i, 25, 29, 31, 43m, 58i, 66im, 74m, 78, 109, 233, 342, 618, 649, 727, 758, 764, 873, 1106, 1215, 1491, 1833, 2597m, 2706m, 3048m }}<br />
<br />
[[Badness]] (Sintel): 0.047<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|2255 Qinghai}}, the asteroid, which in turn was named after a province in Northwestern China.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after asteroids]]<br />
[[Category:Commas named after place names]]</div>
Francium