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3626/3625 - Revision history
2026-07-07T14:48:41Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=3626/3625&diff=179874&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 3626/3625 | Name = ohsakisma | Color name = 37o29uzzg<sup>3</sup>3 <br> thisotwenuzozotrigu 3rd | Comma = yes }} '''3626/3625''', the '''ohsakism..."
2025-02-08T22:43:06Z
<p>Created page with "{{Infobox Interval | Ratio = 3626/3625 | Name = ohsakisma | Color name = 37o29uzzg<sup>3</sup>3 <br> thisotwenuzozotrigu 3rd | Comma = yes }} '''3626/3625''', the '''ohsakism..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 3626/3625<br />
| Name = ohsakisma<br />
| Color name = 37o29uzzg<sup>3</sup>3 <br> thisotwenuzozotrigu 3rd<br />
| Comma = yes<br />
}}<br />
<br />
'''3626/3625''', the '''ohsakisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.48 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[784/783]] and [[1000/999]]<br />
* [[1036/1035]] and [[1450/1449]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[3751/3750]] and [[108780/108779]]<br />
* [[3876/3875]] and [[56203/56202]]<br />
* [[4641/4640]] and [[16576/16575]]<br />
* [[6076/6075]] and [[8991/8990]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''ohsakismic'''. Using the 2.5.7.29.37 subgroup leads to the rank-4 temperament '''ohsakic'''.<br />
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=== Ohsakic ===<br />
<br />
[[Subgroup]]: 2.5.7.29.37<br />
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[[Comma list]]: 3626/3625<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 2 || 2 || 4 || 5 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || -2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 386.373, ~7/4 = 968.768, ~29/16 = 1029.663<br />
<br />
{{Optimal ET sequence|legend=1| 4l, 6, 10, 12j, 16, 19, 25, 37, 62, 99, 140, 177, 239, 373, 410, 472, 550, 612, 649, 1261, 3171, 4432, 4671, 5932 }}<br />
<br />
[[Badness]] (Sintel): 0.019<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|3626 Ohsaki}}, the asteroid, which in turn was named after Shoji Osaki, a Japanese astronomical historian.<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