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8991/8990 - Revision history
2026-06-29T01:37:25Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=8991/8990&diff=179618&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 8991/8990 | Name = solidaritisma <br> solidarity comma | Color name = 37o31u29ug2 <br> thisothiwutwenugu 2nd | Comma = yes }} '''8991/8990''', th..."
2025-02-06T16:30:41Z
<p>Created page with "{{Infobox Interval | Ratio = 8991/8990 | Name = solidaritisma <br> solidarity comma | Color name = 37o31u29ug2 <br> thisothiwutwenugu 2nd | Comma = yes }} '''8991/8990''', th..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 8991/8990<br />
| Name = solidaritisma <br> solidarity comma<br />
| Color name = 37o31u29ug2 <br> thisothiwutwenugu 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''8991/8990''', the '''solidaritisma''' or '''solidarity comma''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 0.19 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[2109/2108]] and [[2755/2754]]<br />
* [[2553/2552]] and [[3565/3564]]<br />
* [[3256/3255]] and [[5104/5103]]<br />
* [[3626/3625]] and [[6076/6075]]<br />
* [[3969/3968]] and [[7105/7104]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[9177/9176]] and [[443556/443555]]<br />
* [[9361/9360]] and [[227448/227447]]<br />
* [[9801/9800]] and [[108780/108779]]<br />
* [[10557/10556]] and [[60606/60605]]<br />
* [[11340/11339]] and [[43401/43400]]<br />
* [[15873/15872]] and [[20736/20735]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 37-limit leads to the rank-11 temperament '''solidaritismic'''. Using the 2.3.5.29.31.37 subgroup leads to the rank-5 temperament '''solidaritic'''.<br />
<br />
=== Solidaritic ===<br />
<br />
[[Subgroup]]: 2.3.5.29.31.37<br />
<br />
[[Comma list]]: 8991/8990<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 4 || 4 || 6 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || -5 || ],<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 = 701.938, ~5/4 = 386.321, ~29/16 = 1029.609, ~31/16 = 1145.069<br />
<br />
{{Optimal ET sequence|legend=1| 5, 5jl, 7jjkll, 7k, 10, 12l, 15k, 19kkl, 19, 34k, 41l, 46j, 60l, 65, 87, 99k, 106, 171, 205, 270, 376, 407, 506, 612, 1183, 1289, 3190, 4479, 5768, 7163, 8452, 9741, 10353, 10372 }}<br />
<br />
[[Badness]] (Sintel): 0.036<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|8991 Solidarity}}, the asteroid, which in turn was named to honor the victims of the {{W|September 11th attacks}}.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after asteroids]]<br />
[[Category:Commas named following events]]</div>
Francium