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780/779 - Revision history
2026-06-28T22:10:16Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=780/779&diff=185207&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 780/779 | Name = wiesentisma | Color name = 41u19u3oy1 <br> fowunuthoyo unison | Comma = yes }} '''780/779''', the '''wiesentisma''', is a 41-l..."
2025-03-09T14:43:54Z
<p>Created page with "{{Infobox Interval | Ratio = 780/779 | Name = wiesentisma | Color name = 41u19u3oy1 <br> fowunuthoyo unison | Comma = yes }} '''780/779''', the '''wiesentisma''', is a 41-l..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 780/779<br />
| Name = wiesentisma<br />
| Color name = 41u19u3oy1 <br> fowunuthoyo unison<br />
| Comma = yes<br />
}}<br />
<br />
'''780/779''', the '''wiesentisma''', is a [[41-limit]] [[superparticular interval|superparticular comma]] of about 2.2 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following superparticular pairs:<br />
* [[39/38]] and [[41/40]]<br />
* [[165/164]] and [[209/208]]<br />
* [[210/209]] and [[287/286]]<br />
* [[247/246]] and [[361/360]]<br />
* [[286/285]] and [[451/450]]<br />
* [[288/287]] and [[456/455]]<br />
<br />
It can be factored into the following superparticular ratios:<br />
* [[783/782]] and [[203320/203319]]<br />
* [[784/783]] and [[152685/152684]]<br />
* [[806/805]] and [[24150/24149]]<br />
* [[837/836]] and [[11440/11439]]<br />
* [[875/874]] and [[7176/7175]]<br />
* [[936/935]] and [[4675/4674]]<br />
* [[1026/1025]] and [[3250/3249]]<br />
* [[1190/1189]] and [[2262/2261]]<br />
* [[1395/1394]] and [[1768/1767]]<br />
* [[1521/1520]] and [[1600/1599]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 41-limit leads to the rank-12 temperament '''wiesentismic'''. Using the 2.3.5.13.19.41 subgroup leads to the rank-5 temperament '''wiesentic'''.<br />
<br />
=== Wiesentic ===<br />
<br />
[[Subgroup]]: 2.3.5.13.19.41<br />
<br />
[[Comma list]]: 780/779<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 3 || 4 || 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]]: ~2 = 1\1, ~3/2 = 701.873, ~5/4 = 386.139, ~13/8 = 840.083, ~19/16 = 298.099<br />
<br />
{{Optimal ET sequence|legend=1| 5h, 7fhm, 7m, 9, 12, 15m, 22, 22fh, 24, 27, 31, 34h, 38fm, 41, 50, 53, 137, 164, 217, 354, 407, 494h, 547, 764hm, 901hm, 954m }}<br />
<br />
[[Badness]] (Sintel): 0.109<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|Wiesent, Bavaria}}, which was first mentioned in 780.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
* [[List of superparticular intervals]]<br />
<br />
[[Category:Commas named after place names]]</div>
Francium