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6069/6068 - Revision history
2026-06-29T17:09:51Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=6069/6068&diff=187937&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 6069/6068 | Name = cevolanisma | Color name = 41u37u17ooz2 <br> fowuthisusosozo 2nd | Comma = yes }} '''6069/6068''', the '''cevolanisma''', is a..."
2025-03-23T17:33:24Z
<p>Created page with "{{Infobox Interval | Ratio = 6069/6068 | Name = cevolanisma | Color name = 41u37u17ooz2 <br> fowuthisusosozo 2nd | Comma = yes }} '''6069/6068''', the '''cevolanisma''', is a..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 6069/6068<br />
| Name = cevolanisma<br />
| Color name = 41u37u17ooz2 <br> fowuthisusosozo 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''6069/6068''', the '''cevolanisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.29 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[1190/1189]] and [[1480/1479]]<br />
* [[1518/1517]] and [[2024/2023]]<br />
* [[2625/2624]] and [[4625/4624]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[6076/6075]] and [[5267025/5267024]]<br />
* [[6561/6560]] and [[80920/80919]]<br />
* [[6930/6929]] and [[48841/48840]]<br />
* [[7105/7104]] and [[41616/41615]]<br />
* [[8092/8091]] and [[24273/24272]]<br />
* [[9177/9176]] and [[17918/17917]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''cevolanismic'''. Using the 2.3.7.17.37.41 subgroup leads to the rank-5 temperament '''cevolanic'''.<br />
<br />
=== Cevolanic ===<br />
<br />
[[Subgroup]]: 2.3.7.17.37.41<br />
<br />
[[Comma list]]: 6069/6068<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 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 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 1 || -1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.950, ~7/4 = 968.809, ~17/16 = 104.884, ~37/32 = 251.402<br />
<br />
{{Optimal ET sequence|legend=1| 5m, 7gm, 7l, 9glmm, 9, 10, 17l, 17gm, 22, 36l, 48, 58, 82, 99m, 125, 130, 140, 147, 171, 207, 229, 378, 400, 607, 836, 1007, 1843, 1925, 2024, 2325, 2424, 3031, 4038, 4267, 4956, 5185, 5356, 6192g, 8216g, 8616g }}<br />
<br />
[[Badness]] (Sintel): 0.042<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|6069 Cevolani}}, the asteroid, which in turn was named after Giordano Cevolani, an Italian geophysicist.<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