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I will try to pay extra attention the next time something goes invisible, and look closely at the combat log and see if it says. I honestly just never paid that much attention to it.
Anyone with a save around the grymforge is in a good position to check it. Duegar have invisibility as a racial ability, and they like to use it.
Even then, would need to check multiple times (different checks on different characters), as it may not be a set number. I have a feeling it may scale off ones perception checks, likely DC for the dex save scaling to the perception of the one using the ability. Essentially then it would just be adding the ability to see invisible things, with the same skill one uses to see hidden things normally.
Let's gather data as a group on this one. Anyone who notes the check in log, note what DC was shown, and what that character's perception was.
When Oliver who stays hidden due to using invisibility, goes to hide after conversation, I got the following as shown in screenshot.
https://steamuserimages-a.akamaihd.net/ugc/2351510741923203056/9383378847D7FE2FEA8948C1245EF0EB63709C9B/?imw=5000&imh=5000&ima=fit&impolicy=Letterbox&imcolor=%23000000&letterbox=false
The DC check he succeeded on was 8 base +2 from wisdom +3 from proficiency, which matches my ranger's perception modifier of +5.
So at a glance it appears to be 8+perception modifier from wisdom and proficiency.
Allows me to move the hypothesis to theory of 8+perception modifier of detecting character as the DC for dex roll to beat. Would like a couple more data points to be sure thou.
Learn something everyday!
What was the last class you added the first level of when you took the screenshot? (For example, if you took 1 level in Wizard, then 1 in Barbarian, then another 1 in Wizard, it would be Barbarian.) If it was Cleric, Druid, Monk, or Ranger, this would also be how your Spell Save DC is calculated.