View source for 7429/7425

{{Infobox Interval
| Ratio = 7429/7425
| Name = gordaitisma
| Color name = 23o19o17o1ugg3 <br> twethonosolugugu 3rd
| Comma = yes
}}

'''7429/7425''', the '''gordaitisma''', is a [[23-limit]] (also [[3.5.11.17.19.23 subgroup]]) [[unnoticeable comma]] of about 0.93 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following intervals:
* [[392/391]] and [[7448/7425]]
* [[595/594]] and [[875/874]]

It can be factored into the following ratios:
* [[1863/1862]] and [[601426/601425]]
* [[2024/2023]] and [[653429/653400]]
* [[2185/2184]] and [[12376/12375]]
* [[2431/2430]] and [[7866/7865]]
* [[2737/2736]] and [[5776/5775]]
* [[2926/2925]] and [[5083/5082]]
* [[152881/152880]] and [[193648/193545]]

== Temperaments ==
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'''.

=== Gordaite ===

[[Subgroup]]: 3.5.11.17.19.23

[[Comma list]]: 7429/7425

[[Mapping]]: <br>
{| class="right-all"
|-
| [⟨ || 1 || 1 || 2 || 2 || 2 || 3 || ],
|-
| ⟨ || 0 || 1 || 0 || 0 || 0 || 2 || ],
|-
| ⟨ || 0 || 0 || 1 || 0 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || 1 || 0 || -1 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || -1 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~3 = 1\1, ~5/3 = 884.472, ~11/9 = 347.534, ~17/9 = 1100.870, ~19/9 = 1293.413

[[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}}

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to {{W|Gordaite}}, the mineral.

== See also ==
* [[Unnoticeable comma]]

[[Category:Commas named after minerals]]