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29241/29240 - Revision history
2026-06-30T01:00:07Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=29241/29240&diff=186871&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 29241/29240 | Name = locquirecisma | Color name = 43u19oo17ug1 <br> fothunonosugu unison | Comma = yes }} '''29241/29240''', the '''locquirecisma..."
2025-03-18T11:40:35Z
<p>Created page with "{{Infobox Interval | Ratio = 29241/29240 | Name = locquirecisma | Color name = 43u19oo17ug1 <br> fothunonosugu unison | Comma = yes }} '''29241/29240''', the '''locquirecisma..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 29241/29240<br />
| Name = locquirecisma<br />
| Color name = 43u19oo17ug1 <br> fothunonosugu unison<br />
| Comma = yes<br />
}}<br />
<br />
'''29241/29240''', the '''locquirecisma''', is a [[43-limit]] [[superparticular interval|superparticular comma]] of about 0.059 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[171/170]] and [[172/171]]<br />
* [[1377/1376]] and [[1445/1444]]<br />
* [[1463/1462]] and [[1540/1539]]<br />
* [[2925/2924]] and [[3250/3249]]<br />
* [[9504/9503]] and [[14080/14079]]<br />
* [[9633/9632]] and [[14365/14364]]<br />
* [[14535/14534]] and [[28900/28899]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[30856/30855]] and [[558657/558656]]<br />
* [[43681/43680]] and [[88452/88451]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''locquirecismic'''. Using the 2.3.5.17.19.43 subgroup leads to the rank-5 temperament '''locquirecic'''.<br />
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=== Locquirecic ===<br />
<br />
[[Subgroup]]: 2.3.5.17.19.43<br />
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[[Comma list]]: 29241/29240<br />
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[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 4 || 4 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 1 || 2 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.951, ~5/4 = 386.316, ~17/16 = 104.961, ~19/16 = 297.500<br />
<br />
{{Optimal ET sequence|legend=1| 5ghn, 7ghn, 10, 12, 27g, 31, 34, 38nn, 39g, 51cg, 53n, 65n, 72, 84, 94, 106, 205n, 217n, 270, 323, 342, 354, 448, 460, 593, 718, 730, 947, 1053, 1677, 1771, 1783, 4026, 4973, 5809, 6756, 8539, 10782 }}<br />
<br />
[[Badness]] (Sintel): 0.046<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to the postal code of {{W|Locquirec}}, France.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after place names]]</div>
Francium