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9633/9632 - Revision history
2026-06-30T08:32:57Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=9633/9632&diff=184034&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 9633/9632 | Name = coturisma | Color name = 43u19o3oor1 <br> fothunothothoru unison | Comma = yes }} '''9633/9632''', the '''coturisma''', is a [..."
2025-03-03T10:43:01Z
<p>Created page with "{{Infobox Interval | Ratio = 9633/9632 | Name = coturisma | Color name = 43u19o3oor1 <br> fothunothothoru unison | Comma = yes }} '''9633/9632''', the '''coturisma''', is a [..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 9633/9632<br />
| Name = coturisma<br />
| Color name = 43u19o3oor1 <br> fothunothothoru unison<br />
| Comma = yes<br />
}}<br />
<br />
'''9633/9632''', the '''coturisma''', is a [[43-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 />
* [[169/168]] and [[172/171]]<br />
* [[2366/2365]] and [[3136/3135]]<br />
* [[2925/2924]] and [[4200/4199]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[9801/9800]] and [[561925/561924]]<br />
* [[9802/9801]] and [[558657/558656]]<br />
* [[10241/10240]] and [[162240/162239]]<br />
* [[10374/10373]] and [[134849/134848]]<br />
* [[10450/10449]] and [[123201/123200]]<br />
* [[14365/14364]] and [[29241/29240]]<br />
* [[14535/14534]] and [[28561/28560]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''coturismic'''. Using the 2.3.7.13.19.43 subgroup leads to the rank-5 temperament '''coturic'''.<br />
<br />
=== Coturic ===<br />
<br />
[[Subgroup]]: 2.3.7.13.19.43<br />
<br />
[[Comma list]]: 9633/9632<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 3 || 4 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 0 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 1 || 1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.951, ~7/4 = 968.838, ~13/8 = 840.484, ~19/16 = 297.484<br />
<br />
{{Optimal ET sequence|legend=1| 7dh, 7, 9n, 10, 14, 17, 26nn, 27, 36, 63, 77, 113, 130, 207, 234, 270, 347, 477, 701, 795, 831, 908, 935, 1065, 1142, 1178, 1412, 2590, 6592, 9182 }}<br />
<br />
[[Badness]] (Sintel): 0.036<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|9633 Cotur}}, the asteroid, which in turn was named after Peter Cotur, a Belgian scientific journalist.<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