To be precise, there are two separate recalibration libraries - one for levels 1-30, and one for level 31-40. Both are shared among the characters on your account, but characters at level 30 or lower only have access to the first library. Characters with higher levels have access to both libraries (check the recalibration menu for a key to switch libraries).
I don't recall if you need to be level 40 to access the second library, or if it already works from level 31 onwards. Perhaps someone else can add this information.![]()