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9472/9471 - Revision history
2026-06-11T02:23:54Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=9472/9471&diff=188898&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 9472/9471 | Name = brugesisma | Color name = 41u37o1ur2 <br> fowuthisoluru 2nd | Comma = yes }} '''9472/9471''', the '''brugesisma''', is a 41-..."
2025-03-30T11:00:53Z
<p>Created page with "{{Infobox Interval | Ratio = 9472/9471 | Name = brugesisma | Color name = 41u37o1ur2 <br> fowuthisoluru 2nd | Comma = yes }} '''9472/9471''', the '''brugesisma''', is a 41-..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 9472/9471<br />
| Name = brugesisma<br />
| Color name = 41u37o1ur2 <br> fowuthisoluru 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''9472/9471''', the '''brugesisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.18 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[288/287]] and [[297/296]]<br />
* [[370/369]] and [[385/384]]<br />
* [[925/924]] and [[1025/1024]]<br />
* [[1600/1599]] and [[1925/1924]]<br />
* [[2584/2583]] and [[3553/3552]]<br />
* [[4060/4059]] and [[7105/7104]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[10374/10373]] and [[108928/108927]]<br />
* [[10693/10692]] and [[82944/82943]]<br />
* [[11440/11439]] and [[55056/55055]]<br />
* [[11914/11913]] and [[46208/46207]]<br />
* [[12321/12320]] and [[40960/40959]]<br />
* [[14400/14399]] and [[27676/27675]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''brugesismic'''. Using the 2.3.7.11.37.41 subgroup leads to the rank-5 temperament '''brugesic'''.<br />
<br />
=== Brugesic ===<br />
<br />
[[Subgroup]]: 2.3.7.11.37.41<br />
<br />
[[Comma list]]: 9472/9471<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 3 || 5 || 7 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || -1 || ],<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 = 701.961, ~7/4 = 968.844, ~11/8 = 551.346, ~37/32 = 251.281<br />
<br />
{{Optimal ET sequence|legend=1| 5, 9l, 10l, 12, 14l, 15, 17, 22, 31, 41, 48, 58l, 63l, 72, 89, 135, 176, 207, 224, 311, 383, 400, 607, 629, 805, 836, 1012, 1641, 1848, 2248, 2788, 3084, 3395, 3624, 4024, 4231, 4860, 5036, 5872 }}<br />
<br />
[[Badness]] (Sintel): 0.035<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|9472 Bruges}}, the asteroid, which in turn was named after {{W|Bruges}}, Belgium<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