The book talks about this like every person has a maximum that can never be changed by practice or effort!  If your max is too low, you shouldn't bother trying to be a wizard unless you want a life of fine detail work on magic items.  If your maximum is high enough, then you can do sorcery as well as wizardry, because you are so magical that magic just does what you say!

Okay, Opalyn has the following working theory now. Does this seem to be congruent with everything she's read so far?

Sure!

Okay! This is finally starting to make sense! Sort of! In a way!

Opalyn still has no real idea how to apply math to magic! She knows an awful lot of math but has not yet figured out how to integrate it with the magic and harness it for wizardry!

Figuring out how to do that is probably going to go better after some sleep.

She puts down the books and gets into bed.

Will someone dramatically burst through her door just as she's getting comfortable?

Nope!

Then she'll sleeeeep, and she doesn't even seem to need the NOW! button.

And now it's another bright day--or whatever time period--in lewd dramatic prison!

Ahhh. Opalyn has no idea how long she slept, but she slept enough, and that feels insanely great. That did not happen nearly enough in her previous life.

What will she do with her day? Read more books? Go seek out company?

It occurs to her that Iilasir can probably help her figure out the basics pretty quickly, and she can ask him questions, and that will probably speed things along. Also, he was nice to talk to.

She heads for the door, carrying Remedial Wizardry with her for hallway signaling, and in case she wants to look at it with Iilasir.

(Opalyn has never been single for longer than about a week at a time since puberty. She's not exactly proud of this fact about herself, but it is nevertheless a fact. She sees through herself, a little bit, when she tells herself she wants to talk to Iilasir about wizardry. She also wants to see what it's like to talk to him face to face, when he's not busy charging a lightline.)

There's a peephole in her door (probably a magical one, with an unnaturally wide field of view) and it shows a male seated outside.  He's waiting on the opposite side of the corridor from her door, not pressed up next to it; and is reading a book, and is dressed in not much at all.  He does look pretty muscular, but so do almost all men around here.

Opalyn is not used to muscled men reading books and lying in wait for her! She could get used to this!

She opens the door and goes out.

"Hello."

He lays his book aside, rises to a kneeling position, bows his head.  "Most noble and superior Duchess Healthy-Orphan, my master Duke Nackblorb is convening the Duke-levels of our Facility section, to discuss how we shall divide up dominion and mastery among ourselves."

"Is he now. Thank you for telling me! Where and when is the meeting?"

Opalyn wants to know, but hasn't decided yet if she'll use the information to go to the meeting or to avoid it. Probably avoid it.

"Duke Nackblorb will be renting the special area of Refectory Twelve.  It is... by now... probably about half the time between meals for an average person, from now?  But there is no harm in arriving early; my master will also provide fine food and drink, and long-denied and well-teased submissives to serve them."

"Noted, thank you."

Opalyn has an idea. Is it a good idea or is it the best idea? She heads towards Iilasir's room.

It'll take her a bit to find her way to that room, and she may at some point have to ask for directions, and the first time she asks may not work.  The people of the Facility have more guarded and nervous looks about them, now, even the evidently higher-ranking ones.

...But she can eventually find her way to what ought to be Iilasir's room, if nobody is lying or mistaken about that.

She knocks, only half-expecting him to be home and receiving visitors. Surely today is a perfect day for inciting drama! And if not that, he has his own harem to juggle, apparently, and he may be busy with one of his partners.

He sure might be!  But he evidently has a sense of priorities, because a few moments later, Opalyn is being beckoned into his apartments--with a foyer rather smaller and less fancy than Opalyn's--and a naked girl has been dumped not very ceremoniously into the hallway, along with her clothes.

"Wow! Um... thanks for inviting me in. I would have waited, if you needed a few more minutes there!"

"If you want people who know what you are, to not prioritize meeting your wishes with alacrity, killing the Prince of the Facility was the wrong way to signal this."

"I perceive nobody in our universe has explained to you how to use a doorblooper since you got here, remind me to show you when we leave again."

This is Opalyn's perfectly straight face.

"What makes you think I killed the Prince of the Facility?"

"He's dead.  That's very improbable."

"You're also very improbable."

"Done."

"Ahem. No comment."

"So, I have four invitations for you. You may take me up on any number of them or none of them, though the sequencing might matter."

"First: you are invited to be my guest at a party for all the Dukes and Duchesses of this section to figure out how we want to run the place, now that the Grands aren't going to be able to charge the lightlines for a while. I wasn't going to attend this party as it doesn't much interest me, but it occurred to me that it might be an excellent place for you to stir up drama, and you might not be able to get in without me."

"Second: I would like your help in figuring out which Count or Countess to add to my organization first. I am not sure I actually want much of an organization, but I probably do want to be able to get some Baron-level unlock tokens at some point, and I guess I need a Count-level minion for that."

"Third: You could explain basic wizardry to me, if you have the patience. I got some library books but I think it will go faster with your help."

"Fourth: You could explain exactly how the chastity belts work, like what acts and sensations are and are not possible without an unlock token."

"That's everything I can think of for now."

"That's a lot to take in.  Can I interject to ask what are your goals and plans, into which these projects fit?  It seems implied that you aren't imminently planning to kill and replace the Dread Emperor."

"Indeed not! I don't even know if he's dreadful yet!"

"I don't know yet what my ultimate goals are. My immediate instrumental goals are to gain capabilities and information."