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1518/1517 - Revision history
2026-06-30T19:01:54Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=1518/1517&diff=187491&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 1518/1517 | Name = rovaniemisma | Color name = 41u37u23o1o1 <br> fowuthisutwetholo unison | Comma = yes }} '''1518/1517''', the '''rovaniemisma''..."
2025-03-20T23:29:26Z
<p>Created page with "{{Infobox Interval | Ratio = 1518/1517 | Name = rovaniemisma | Color name = 41u37u23o1o1 <br> fowuthisutwetholo unison | Comma = yes }} '''1518/1517''', the '''rovaniemisma''..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 1518/1517<br />
| Name = rovaniemisma<br />
| Color name = 41u37u23o1o1 <br> fowuthisutwetholo unison<br />
| Comma = yes<br />
}}<br />
<br />
'''1518/1517''', the '''rovaniemisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 1.1 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[165/164]] and [[185/184]]<br />
* [[297/296]] and [[369/368]]<br />
* [[575/574]] and [[925/924]]<br />
* [[616/615]] and [[1036/1035]]<br />
* [[667/666]] and [[1189/1188]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[1519/1518]] and [[2304324/2304323]]<br />
* [[1520/1519]] and [[1152921/1152920]]<br />
* [[1521/1520]] and [[769120/769119]]<br />
* [[1540/1539]] and [[106191/106190]]<br />
* [[1600/1599]] and [[29601/29600]]<br />
* [[1925/1924]] and [[7176/7175]]<br />
* [[2024/2023]] and [[6069/6068]]<br />
* [[2871/2870]] and [[3220/3219]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''rovaniemismic'''. Using the 2.3.11.23.37.41 subgroup leads to the rank-5 temperament '''rovaniemic'''.<br />
<br />
=== Rovaniemic ===<br />
<br />
[[Subgroup]]: 2.3.11.23.37.41<br />
<br />
[[Comma list]]: 1518/1517<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 3 || 4 || 5 || 4 || ],<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 = 701.923, ~11/8 = 551.168, ~23/16 = 628.017, ~37/32 = 251.685<br />
<br />
{{Optimal ET sequence|legend=1| 5im, 5, 7im, 10, 10il, 12el, 15m, 17, 24, 29, 31, 41i, 48, 111, 128, 159, 176, 224, 277, 376m, 405, 453, 701, 829m, 877, 1106m, 1154 }}<br />
<br />
[[Badness]] (Sintel): 0.045<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|1518 Rovaniemi}}, the asteroid, which in turn was named after {{W|Rovaniemi}}, Finland.<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