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7429/7425 - Revision history
2026-06-28T17:46:52Z
Revision history for this page on the wiki
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https://en.xen.wiki/index.php?title=7429/7425&diff=177922&oldid=prev
Francium: Created page with "{{Infobox Interval | Ratio = 7429/7425 | Name = gordaitisma | Color name = 23o19o17o1ugg3 <br> twethonosolugugu 3rd | Comma = yes }} '''7429/7425''', the '''gordaitisma''', i..."
2025-01-24T13:57:50Z
<p>Created page with "{{Infobox Interval | Ratio = 7429/7425 | Name = gordaitisma | Color name = 23o19o17o1ugg3 <br> twethonosolugugu 3rd | Comma = yes }} '''7429/7425''', the '''gordaitisma''', i..."</p>
<p><b>New page</b></p><div>{{Infobox Interval<br />
| Ratio = 7429/7425<br />
| Name = gordaitisma<br />
| Color name = 23o19o17o1ugg3 <br> twethonosolugugu 3rd<br />
| Comma = yes<br />
}}<br />
<br />
'''7429/7425''', the '''gordaitisma''', is a [[23-limit]] (also [[3.5.11.17.19.23 subgroup]]) [[unnoticeable comma]] of about 0.93 [[cent]]s.<br />
<br />
== Commatic relationships ==<br />
This comma is the difference between the following intervals:<br />
* [[392/391]] and [[7448/7425]]<br />
* [[595/594]] and [[875/874]]<br />
<br />
It can be factored into the following ratios:<br />
* [[1863/1862]] and [[601426/601425]]<br />
* [[2024/2023]] and [[653429/653400]]<br />
* [[2185/2184]] and [[12376/12375]]<br />
* [[2431/2430]] and [[7866/7865]]<br />
* [[2737/2736]] and [[5776/5775]]<br />
* [[2926/2925]] and [[5083/5082]]<br />
* [[152881/152880]] and [[193648/193545]]<br />
<br />
== Temperaments ==<br />
Tempering out this comma in the full 23-limit leads to the rank-8 temperament '''gordaitismic'''. Using the 3.5.11.17.19.23 subgroup leads to the rank-5 temperament '''gordaite'''.<br />
<br />
=== Gordaite ===<br />
<br />
[[Subgroup]]: 3.5.11.17.19.23<br />
<br />
[[Comma list]]: 7429/7425<br />
<br />
[[Mapping]]: <br><br />
{| class="right-all"<br />
|-<br />
| [⟨ || 1 || 1 || 2 || 2 || 2 || 3 || ],<br />
|-<br />
| ⟨ || 0 || 1 || 0 || 0 || 0 || 2 || ],<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]] ([[CTE]]): ~3 = 1\1, ~5/3 = 884.472, ~11/9 = 347.534, ~17/9 = 1100.870, ~19/9 = 1293.413<br />
<br />
[[Optimal ET sequence]]: {{EDs| b6g, b7h, b8eh, b10, b13g, b15, b18, b24, b26, b28, b60, b71, b88, b116, b131, b159, b185, b219, b237, b247, b316, b368, b404, b432, b553, b684, b712, b800, b1116, b1484, b1512, b1828, b2497gi, b2628, b5809ghii, b5837gghii |equave=t}}<br />
<br />
== Etymology ==<br />
This comma was named by [[Francium]] in 2025. It refers to {{W|Gordaite}}, the mineral.<br />
<br />
== See also ==<br />
* [[Unnoticeable comma]]<br />
<br />
[[Category:Commas named after minerals]]</div>
Francium