The initiation to the Mystery Cult involves the following, and I can accept that a member of the Fraternity who initiates others has a really high Lore Ability score.
Mystagogue has:
+1 Presence
+7 Fraternity of Samos Lore
Script:
+1 bonus for knowing Artes Liberales and Philosophiae at 3 (you won't receive this bonus again for meeting the Ability requirements in the future, since it's a special bonus).
+3 spend a season learning at a Pythogorean school (no xp granted, this is the season of sacrifice).
+3 take a minor Ordeal for the Vow to follow the Sacred Precepts of Pythagoras
15 Total script and mystagogue bonus, and the Mystagogue knows the virtue.
I'll say that Theoreticus has a +1 bonus for creating the Numerologist's book and being able to do the spells (this is somewhat generous). The Journey is a Quest, which provides +3. So, we need to come up with 4 more points in an initiation script. You could, after demonstrating the ability to use the Numerologist's book sacrifice it that would be +3. So, you would still be 1 point short. I'm open to your ideas for what else might be in the script. Ordeals carry over, so an Ordeal used here could be useful later on, since the next script only appears to have a +3 bonus defined. So a +9 Ordeal (Major Flaw) would give you +8 for the next initiation...
Electus is going to have a +3 bonus for the Ordeal related to: you taking a lock of hair (a season and 1 pawn of vis to fix it) and giving it to the Cult along with your Nativity Horoscope that will provide an 8x multiplier for penetration against you, so you'll lose a couple of seasons of xp here, for certain. Continuing on the total from the last initiation, if you take the major ordeal at Theoreticus and this one is +11 script bonus (effective) leaving you +3 to carry forward for the next level Tertius...