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2187/2185 - Revision history
2026-06-08T00:48:46Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=2187/2185&diff=183005&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 2187/2185 | Name = vashegyitisma | Color name = L23u19ug-2 <br> latwethunugu negative 2nd | Comma = yes }} '''2187/2185''', the '''vashegyitisma'..."
2025-02-25T12:02:25Z
<p>Created page with "{{Infobox Interval | Ratio = 2187/2185 | Name = vashegyitisma | Color name = L23u19ug-2 <br> latwethunugu negative 2nd | Comma = yes }} '''2187/2185''', the '''vashegyitisma'..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 2187/2185<br />
| Name = vashegyitisma<br />
| Color name = L23u19ug-2 <br> latwethunugu negative 2nd<br />
| Comma = yes<br />
}}<br />
<br />
'''2187/2185''', the '''vashegyitisma''', is a [[23-limit]] (also [[3.5.19.23 subgroup]]) [[unnoticeable comma]] of about 1.6 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following intervals:<br />
* [[96/95]] and [[736/729]]<br />
* [[729/722]] and [[115/114]]<br />
* [[162/161]] and [[190/189]]<br />
* [[324/323]] and [[460/459]]<br />
* [[59049/58880]] and [[513/512]]<br />
* [[23328/23275]] and [[736/735]]<br />
<br />
It can be factored into the following ratios:<br />
* [[1197/1196]] and [[12636/12635]]<br />
* [[1521/1520]] and [[3888/3887]]<br />
* [[1701/1700]] and [[3060/3059]]<br />
* [[1863/1862]] and [[2646/2645]]<br />
* [[2025/2024]] and [[2376/2375]]<br />
* [[2277/2275]] and [[110565/110561]]<br />
* [[3520/3519]] and [[334611/334400]]<br />
* [[8075/8073]] and [[767637/767125]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 23-limit leads to the rank-8 temperament '''vashegyitismic'''. Using the 3.5.19.23 subgroup leads to the rank-3 temperament '''vashegyitic'''.<br />
<br />
=== Vashegyitic ===<br />
<br />
[[Subgroup]]: 3.5.19.23<br />
<br />
[[Comma list]]: 2187/2185<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 4 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || -1 || ],<br />
|-<br />
| ⟨ || 0 || 0 || 1 || -1 || ]]<br />
|}<br />
<br />
[[Optimal tuning]] ([[CTE]]): ~3 = 1\1, ~5/3 = 884.553, ~19/9 = 1294.254<br />
<br />
[[Optimal ET sequence]]: {{EDs| b6, b9, b13, b28, b69, b97, b103, b116, b144, b172, b316, b673, b817, b845, b989, b1305, b2294hi, b3599chhii |equave=t}}<br />
<br />
[[Badness]] (Sintel): 0.020<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to Vashegyite, the mineral.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
<br />
[[Category:Commas named after minerals]]</div>
Francium