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2871/2870 - Revision history
2026-06-29T06:57:15Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=2871/2870&diff=185430&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 2871/2870 | Name = schoberisma | Color name = 41u29o1org1 <br> fowutwenolorugu unison | Comma = yes }} '''2871/2870''', the '''schoberisma''', is..."
2025-03-11T10:30:12Z
<p>Created page with "{{Infobox Interval | Ratio = 2871/2870 | Name = schoberisma | Color name = 41u29o1org1 <br> fowutwenolorugu unison | Comma = yes }} '''2871/2870''', the '''schoberisma''', is..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 2871/2870<br />
| Name = schoberisma<br />
| Color name = 41u29o1org1 <br> fowutwenolorugu unison<br />
| Comma = yes<br />
}}<br />
<br />
'''2871/2870''', the '''schoberisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 0.60 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[165/164]] and [[175/174]]<br />
* [[261/260]] and [[287/286]]<br />
* [[288/287]] and [[320/319]]<br />
* [[616/615]] and [[784/783]]<br />
* [[1026/1025]] and [[1596/1595]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[2926/2925]] and [[152685/152684]]<br />
* [[2976/2975]] and [[81345/81344]]<br />
* [[3025/3024]] and [[56376/56375]]<br />
* [[3256/3255]] and [[24273/24272]]<br />
* [[3773/3772]] and [[12006/12005]]<br />
* [[4060/4059]] and [[9801/9800]]<br />
* [[4785/4784]] and [[7176/7175]]<br />
* [[4901/4900]] and [[6930/6929]]<br />
* [[5104/5103]] and [[6561/6560]]<br />
* [[5577/5576]] and [[5916/5915]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''schoberismic'''. Using the 2.3.5.7.11.29.41 subgroup leads to the rank-6 temperament '''schoberic'''.<br />
<br />
=== Schoberic ===<br />
<br />
[[Subgroup]]: 2.3.5.7.11.29.41<br />
<br />
[[Comma list]]: 2871/2870<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 2 || 3 || 4 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 0 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || 0 || 0 || -1 || ],<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 = 701.920, ~5/4 = 386.351, ~7/4 = 968.880, ~11/8 = 551.236, ~29/16 = 1029.415<br />
<br />
{{Optimal ET sequence|legend=1| 5j, 7djjm, 7m, 8d, 8djjmm, 9, 12de, 12, 12jm, 14cjjmm, 15m, 19em, 19, 22, 31, 41, 58, 72, 80, 99em, 103m, 118, 183, 198, 224, 270, 342, 494, 612, 836, 1267, 1308, 1407, 1448, 1506m, 1848j, 1879, 2103, 2221j, 2342m, 2715 }}<br />
<br />
[[Badness]] (Sintel): 0.142<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|2871 Schober}}, the asteroid, which in turn was named after Hans Josef Schober, an Austrian astronomer at the University of Graz.<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