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2850/2849 - Revision history
2026-07-01T01:43:53Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=2850/2849&diff=180992&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 2850/2849 | Name = mozhaiskisma | Color name = 37u19o1uryy-2 <br> thisunoluruyoyo negative 2nd | Comma = yes }} '''2850/2849''', the '''mozhaiski..."
2025-02-17T11:58:42Z
<p>Created page with "{{Infobox Interval | Ratio = 2850/2849 | Name = mozhaiskisma | Color name = 37u19o1uryy-2 <br> thisunoluruyoyo negative 2nd | Comma = yes }} '''2850/2849''', the '''mozhaiski..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 2850/2849<br />
| Name = mozhaiskisma<br />
| Color name = 37u19o1uryy-2 <br> thisunoluruyoyo negative 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''2850/2849''', the '''mozhaiskisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.61 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[260/259]] and [[286/285]]<br />
* [[408/407]] and [[476/475]]<br />
* [[760/759]] and [[1036/1035]]<br />
* [[925/924]] and [[1369/1368]]<br />
* [[1000/999]] and [[1540/1539]]<br />
* [[1296/1295]] and [[2376/2375]]<br />
<br />
It can be factored into the following superparticular intervals:<br />
* [[2945/2944]] and [[88320/88319]]<br />
* [[3025/3024]] and [[49248/49247]]<br />
* [[3060/3059]] and [[41515/41514]]<br />
* [[3220/3219]] and [[24795/24794]]<br />
* [[3249/3248]] and [[23200/23199]]<br />
* [[3553/3552]] and [[14400/14399]]<br />
* [[4256/4255]] and [[8625/8624]]<br />
* [[5292/5291]] and [[6175/6174]]<br />
* [[5440/5439]] and [[5985/5984]]<br />
* [[5625/5624]] and [[5776/5775]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''mozhaiskismic'''. Using the 2.3.5.7.11.19.37 subgroup leads to the rank-6 temperament '''mozhaiskic'''.<br />
<br />
=== Mozhaiskic ===<br />
<br />
[[Subgroup]]: 2.3.5.7.11.19.37<br />
<br />
[[Comma list]]: 2850/2849<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 2 || 3 || 4 || 5 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || 1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.938, ~5/4 = 386.240, ~7/4 = 968.880, ~11/8 = 551.400, ~19/16 = 297.390<br />
<br />
{{Optimal ET sequence|legend=1| 6hl, 7dh, 8d, 9, 12l, 14cl, 15l, 19eh, 19, 22l, 22h, 27e, 31h, 39dl, 41l, 50, 53, 72, 99e, 103hl, 118, 130, 152, 255, 270, 311, 400, 422l, 472, 581, 624, 684h, 783, 836, 1308, 1730l, 1889, 2041l, 2877, 3349l }}<br />
<br />
[[Badness]] (Sintel): 0.177<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|2850 Mozhaiskij}}, the asteroid, which in turn was named after {{W|Alexander Mozhaysky}}, a Russian aviation pioneer.<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