https://en.xen.wiki/index.php?action=history&feed=atom&title=851%2F850851/850 - Revision history2026-06-13T05:55:13ZRevision history for this page on the wikiMediaWiki 1.43.6https://en.xen.wiki/index.php?title=851/850&diff=179519&oldid=prevFrancium: Created page with "{{Infobox Interval | Ratio = 851/850 | Name = zeissisma | Color name = 37o23o17ugg2 <br> thisotwethosugugu 2nd | Comma = yes }} '''851/850''', the '''zeissisma''', is a 37-..."2025-02-05T19:28:49Z<p>Created page with "{{Infobox Interval | Ratio = 851/850 | Name = zeissisma | Color name = 37o23o17ugg2 <br> thisotwethosugugu 2nd | Comma = yes }} '''851/850''', the '''zeissisma''', is a 37-..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 851/850<br />
| Name = zeissisma<br />
| Color name = 37o23o17ugg2 <br> thisotwethosugugu 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''851/850''', the '''zeissisma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 2.04 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[69/68]] and [[75/74]]<br />
* [[222/221]] and [[300/299]]<br />
* [[276/275]] and [[408/407]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[868/867]] and [[43401/43400]]<br />
* [[897/896]] and [[16576/16575]]<br />
* [[925/924]] and [[10626/10625]]<br />
* [[936/935]] and [[9361/9360]]<br />
* [[1036/1035]] and [[4761/4760]]<br />
* [[1276/1275]] and [[2553/2552]]<br />
* [[1426/1425]] and [[2109/2108]]<br />
* [[1480/1479]] and [[2001/2000]]<br />
* [[1701/1700]] and [[1702/1701]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''zeissismic'''. Using the 2.5.17.23.37 subgroup leads to the rank-4 temperament '''zeissic'''.<br />
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=== Zeissic ===<br />
<br />
[[Subgroup]]: 2.5.17.23.37<br />
<br />
[[Comma list]]: 851/850<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 2 || 4 || 4 || 5 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || -1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~5/4 = 386.569, ~17/16 = 105.351, ~23/16 = 627.789<br />
<br />
{{Optimal ET sequence|legend=1| 4l, 5gl, 6g, 7gi, 9, 16, 25, 34, 59, 65, 80, 81, 90, 115, 124, 149, 239, 388, 627 }}<br />
<br />
[[Badness]] (Sintel): 0.026<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|851 Zeissia}}, the asteroid, which in turn was named after Zeiss, a German manufacturer of optical systems and optoelectronics.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after asteroids]]</div>Francium