https://en.xen.wiki/index.php?action=history&feed=atom&title=121125%2F121121
121125/121121 - Revision history
2026-07-05T06:33:23Z
Revision history for this page on the wiki
MediaWiki 1.43.6
https://en.xen.wiki/index.php?title=121125/121121&diff=178400&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 121125/121121 | Name = aubertisma | Color name = 19o17o3u1u<sup>3</sup>ry<sup>3</sup>1 <br> nosothutrilu-arutriyo unison | Comma = yes }} '''1211..."
2025-01-27T15:08:09Z
<p>Created page with "{{Infobox Interval | Ratio = 121125/121121 | Name = aubertisma | Color name = 19o17o3u1u<sup>3</sup>ry<sup>3</sup>1 <br> nosothutrilu-arutriyo unison | Comma = yes }} '''1211..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 121125/121121<br />
| Name = aubertisma<br />
| Color name = 19o17o3u1u<sup>3</sup>ry<sup>3</sup>1 <br> nosothutrilu-arutriyo unison<br />
| Comma = yes<br />
}}<br />
<br />
'''121125/121121''', the '''aubertisma''', is a [[19-limit]] (also [[3.5.7.11.13.17.19 subgroup]]) [[unnoticeable comma]] of about 0.057 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following intervals:<br />
* [[286/285]] and [[850/847]]<br />
* [[1275/1274]] and [[1331/1330]]<br />
* [[1540/1539]] and [[42500/42471]]<br />
* [[2376/2375]] and [[11016/11011]]<br />
* [[3136/3135]] and [[190400/190333]]<br />
* [[4200/4199]] and [[225000/224939]]<br />
* [[5929/5928]] and [[14875/14872]]<br />
* [[13377/13376]] and [[937125/937024]]<br />
* [[14400/14399]] and [[27456/27455]]<br />
<br />
It can be factored into the following ratios:<br />
* [[89376/89375]] and [[1328125/13280960]]<br />
* [[165376/165375]] and [[8859375/8859136]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 19-limit leads to the rank-7 temperament '''aubertismic'''. Using the 3.5.7.11.13.17.19 subgroup leads to the rank-6 temperament '''aubertite'''.<br />
<br />
=== Aubertite ===<br />
<br />
[[Subgroup]]: 3.5.7.11.13.17.19<br />
<br />
[[Comma list]]: 121125/121121<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 1 || 2 || 2 || 2 || 3 || ],<br />
|-<br />
| [⟨ || 0 || 1 || 0 || 0 || 0 || 0 || -3 || ],<br />
|-<br />
| [⟨ || 0 || 0 || 1 || 0 || 0 || 0 || 1 || ],<br />
|-<br />
| [⟨ || 0 || 0 || 0 || 1 || 0 || 0 || 3 || ],<br />
|-<br />
| [⟨ || 0 || 0 || 0 || 0 || 1 || 0 || 1 || ],<br />
|-<br />
| [⟨ || 0 || 0 || 0 || 0 || 0 || 1 || -1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~3 = 1\1, ~5/3 = 884.354, ~7/3 = 1466.873, ~11/9 = 347.418, ~13/9 = 636.621, ~17/9 = 1101.041<br />
<br />
[[Optimal ET sequence]]: {{EDs| b7h, b10f, b13gh, b14, b15h, b17h, b21, b22, b28, b32, b43, b53, b56, b71h, b75g, b78, b99, b114, b131, b209, b245, b368, b376, b454, b581, b591, b613, b669, b712, b914, b1045, b1512, b1757, b2579, b2710, b3170, b3379, b3624, b5136, b6925, b8891, b10549 |equave=t}}<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|Aubertite}}, the mineral.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
<br />
[[Category: Commas named after minerals]]</div>
Francium