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3773/3772 - Revision history
2026-06-10T22:07:08Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=3773/3772&diff=175831&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 3773/3772 | Name = smithsonianisma | Color name = 41u23u1oz<sup>3</sup>2 <br> fowutwethulotrizo 2nd | Comma = yes }} '''3773/3772''', the '''smit..."
2025-01-13T05:03:15Z
<p>Created page with "{{Infobox Interval | Ratio = 3773/3772 | Name = smithsonianisma | Color name = 41u23u1oz<sup>3</sup>2 <br> fowutwethulotrizo 2nd | Comma = yes }} '''3773/3772''', the '''smit..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 3773/3772<br />
| Name = smithsonianisma<br />
| Color name = 41u23u1oz<sup>3</sup>2 <br> fowutwethulotrizo 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''3773/3772''', the '''smithsonianisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.46 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[231/230]] and [[246/245]]<br />
* [[616/615]] and [[736/735]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[3774/3773]] and [[14235529/14235528]]<br />
* [[3969/3968]] and [[76384/76383]]<br />
* [[4675/4674]] and [[19551/19550]]<br />
* [[4785/4784]] and [[17836/17835]]<br />
* [[5577/5576]] and [[11662/11661]]<br />
* [[5929/5928]] and [[10374/10373]]<br />
* [[6930/6929]] and [[8281/8280]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''smithsonianismic'''. Using the 2.7.11.23.41 subgroup leads to the rank-4 temperament '''smithsonianic'''.<br />
<br />
=== Smithsonianic ===<br />
<br />
[[Subgroup]]: 2.7.11.23.41<br />
<br />
[[Comma list]]: 3773/3772<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 2 || 3 || 4 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || -1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~7/4 = 968.744, ~11/8 = 551.276, ~23/16 = 628.345<br />
<br />
{{Optimal ET sequence|legend=1| 4, 6m, 7, 9i, 11, 20, 31, 46, 63, 67, 78, 109, 187, 296, 529, 638, 825, 1759, 2584, 3705, 4530, 6278d }}<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|3773 Smithsonian}}, the asteroid, which in turn was named after the {{W|Smithsonian Institution}}.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after asteroids]]</div>
Francium