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3213/3211 - Revision history
2026-06-11T12:26:19Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=3213/3211&diff=177172&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 3213/3211 | Name = cobaltomenisma | Color name = 19u17o3uuz1 <br> nusothuthuzo unison | Comma = yes }} '''3213/3211''', the '''cobaltomenisma''',..."
2025-01-19T14:15:29Z
<p>Created page with "{{Infobox Interval | Ratio = 3213/3211 | Name = cobaltomenisma | Color name = 19u17o3uuz1 <br> nusothuthuzo unison | Comma = yes }} '''3213/3211''', the '''cobaltomenisma''',..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 3213/3211<br />
| Name = cobaltomenisma<br />
| Color name = 19u17o3uuz1 <br> nusothuthuzo unison<br />
| Comma = yes<br />
}}<br />
<br />
'''3213/3211''', the '''cobaltomenisma''', is a [[19-limit]] (also [[3.7.13.17.19 subgroup]]) [[unnoticeable comma]] of about 1.1 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following pairs:<br />
* [[170/169]] and [[190/189]]<br />
* [[171/170]] and [[1701/1690]]<br />
* [[1216/1215]] and [[7616/7605]]<br />
<br />
It can be factored into the following intervals:<br />
* [[1729/1728]] and [[793152/793117]]<br />
* [[2376/2375]] and [[14875/14872]]<br />
* [[2601/2600]] and [[4200/4199]]<br />
* [[3136/3135]] and [[75735/75712]]<br />
* [[4914/4913]] and [[83521/83486]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 19-limit leads tot he rank-7 temperament '''cobaltomenismic'''. Using the 3.7.13.17.19 subgroup leads to the rank-4 temperament '''cobaltomenite'''.<br />
<br />
Adding the [[trichthonisma]], the [[sextantonisma]], the [[neovulturisma]], the [[lehmerisma]] and the [[schismina]] leads to [[vasca]].<br />
<br />
Adding the [[breedsma]], the sextantonisma, the neovulturisma, the [[neomirkwaisma]] and the [[neogrendelisma]] leads to [[surmarvelpyth]].<br />
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=== Cobaltomenite ===<br />
<br />
[[Subgroup]]: 3.7.13.17.19<br />
<br />
[[Comma list]]: 3213/3211<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 2 || 2 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || 0 || -2 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 0 || 1 || 1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~3 = 1\1, ~7/3 = 1466.784, ~13/9 = 636.921, ~17/9 = 1100.861<br />
<br />
[[Optimal ET sequence]]: {{EDs| b7, b8, b9, b21, b30, b41, b44g, b48, b53, b57, b78, b110, b119, b131, b176, b188, b197, b385, b582, b660, b1045, b2693f, b3078fh, b3353f, b3738fh, b4398fh, b4783ffh |equave=t}}<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to Cobaltomenite, the mineral.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
<br />
[[Category:Commas named after minerals]]</div>
Francium