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27048/27047 - Revision history
2026-07-28T20:38:36Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=27048/27047&diff=181290&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 27048/27047 | Name = jangongisma | Color name = 43u37u23o17uzz1 <br> fothuthisutwethosuzozo unison | Comma = yes }} '''27048/27047''', the '''jan..."
2025-02-18T14:18:53Z
<p>Created page with "{{Infobox Interval | Ratio = 27048/27047 | Name = jangongisma | Color name = 43u37u23o17uzz1 <br> fothuthisutwethosuzozo unison | Comma = yes }} '''27048/27047''', the '''jan..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 27048/27047<br />
| Name = jangongisma<br />
| Color name = 43u37u23o17uzz1 <br> fothuthisutwethosuzozo unison<br />
| Comma = yes<br />
}}<br />
<br />
'''27048/27047''', the '''jangongisma''', is a [[43-limit]] [[superparticular interval|superparticular comma]] of about 0.064 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[3312/3311]] and [[3774/3773]]<br />
* [[7956/7955]] and [[11271/11270]]<br />
* [[9504/9503]] and [[14652/14651]]<br />
<br />
It can be factored into the superparticular intervals [[27456/27455]] and [[1820105/1820104]].<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 43-limit leads to the rank-13 temperament '''jangongismic'''. Using the 2.3.7.17.23.37.43 subgroup leads to the rank-6 temperament '''jangongic'''.<br />
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=== Jangongic ===<br />
<br />
[[Subgroup]]: 2.3.7.17.23.37.43<br />
<br />
[[Comma list]]: 27048/27047<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 4 || 4 || 5 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 0 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 0 || 0 || 1 || -1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.954, ~7/4 = 968.818, ~17/16 = 104.964, ~23/16 = 628.264, ~37/32 = 251.358<br />
<br />
{{Optimal ET sequence|legend=1| 5i, 5g, 7dgin, 7l, 10, 14l, 17g, 22n, 31, 32, 36, 46n, 48n, 50, 53, 60ln, 72in, 82, 99, 125, 135, 147, 171, 176, 181, 207, 229, 328, 436, 472, 535, 706, 764, 800, 913, 1007, 1089, 1142, 1236, 1417, 1614, 1624, 1853, 1942, 2149, 2559, 3031, 3566, 5944, 6597, 6826, 7033, 7361, 8975, 9510, 10599 }}<br />
<br />
[[Badness]] (Sintel): 0.042<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|27048 Jangong}}, the asteroid, which in turn was named after Jan Jiawei Gong, a finalist in the 2011 Intel Science Talent Search.<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