"But sir, why are you telling that to us now? Don't we have another year to go before we have to choose?" Michael had asked
"Indeed you do," Professor Flitwick had replied, "But since you are Ravenclaws, I believe you should be making an informed choice. I have arranged with all the elective teachers to give you a demonstration class of sorts. So today, you will be getting a taste of what you'll be in for next year, so that you can make an informed choice. Now keep in mind that while you're not required to attend all of these classes, I would indeed recommend that you do so"
That was how they'd found out that today wasn't going to be a normal day of classes. Instead, they would be seeing the classes that they'd never seen before.
It was going to be an interesting day.
Putting down his goblet of juice, Harry remembered something that he'd intended to do the moment he'd stepped foot into Hogwarts, but had forgotten in all the excitement of the previous night.
"Location bonus," Harry muttered under his breath, curious about what bonuses his school would offer.
Location Bonus: Hogwarts Castle
+20% HP regen
+40% MP regen
x2 learning speed for all theoretical magic.
x3 learning speed for all practical magic.
Learning boosts and regen boosts. Nothing too spectacular, but still extremely useful. And he still hadn't eliminated the possibility that each classroom had its own specific location boost.
Suddenly, there was a rushing sound overhead, and a hundred or so owls streamed in, circling the hall and dropping letters and packages into the chattering crowd. Harry, Hermione, and Terry took advantage of the distraction and slipped out of the Great Hall together.
They crossed the courtyard and headed over to the Arithmancy classroom, which was the first class that Professor Flitwick had told them to head to.
The classroom was quite similar in looks to the Charms classroom, only with a lot more blackboards, which made sense considering the highly theoretical nature of the class. They took their seats near the front of the class and waited for the rest of the Ravenclaws to arrive.
Fifteen minutes later, when the rest of the Ravenclaws had all arrived in ones and twos and taken their seats, Professor Vector strode into the class and began teaching. She was quite strict, and did not tolerate any disturbances in the classroom, as evidenced by Anthony and Stephen losing 20 points in the span of ten minutes for whispering in the back of the class.
After finishing up a long lecture in which she explained how common Mathematics, which was taught to both wizarding and Muggleborn students alike, was incredibly valuable to the class, she decided to demonstrate some of the uses of Arithmancy.
"One of the most used and most common uses of Arithmancy is the creation and modification of spells. As I'm sure Professor Flitwick explained to you in your first year, the most common example used to explain this is the Aguamenti charm, which was invented based upon the Cooling charm to cool down water vapor in the air, the Summoning charm to pull the water vapor to the wand, and the Banishing charm, to maintain a constant strong flow of water. That is how spell creation works. Let's look at another common example."
Professor Vector went over to the blackboard, picked up a chalk, and wrote down two lines of numbers, mathematical symbols and letters. An equation, Harry realized.
"Every spell has its own equation that represents its properties and effects. These two, are those of the spells Accio and Depulso. The Summoning and Banishing Charms. One is push. The other is pull. Together, they were combined, via Arithmantic calculations, to form a very well-known spell, the Leviosa spell. Combining these two spells, and then stabilizing their equations, led the Ancient wizards to discover levitation. Much like this, almost every complicated spell that you will ever learn has been created by combining two or more less complex spells, which were themselves made by combining even further basic spells, and so on. You can compare this to the concept of examples of Prime numbers and Composite numbers in Mathematics. Composites can be broken down, Primes cannot. Yes Mr. Goldstein?"
"Does this apply to every spell? Or are there spells that are complicated from the very beginning, and cannot be broken down?"
"Very few spells are complicated from the very beginning, Mr. Goldstein, but they do indeed exist. The infamously difficult Patronus Charm is one of them. Any more questions? No? Then let's head to the next part. Spell modification," she said, before cleaning the blackboard and writing another very small equation on it.
"This right here, is one of the simplest equations that you'll ever see. This is the equation for the spell Lumos. By tweaking the various variables in an equation, you can modify the spell in many different ways. You can change its intensity and color. You can design it to float in the air. You can even make it follow you around and light your path. Other spells are nowhere near as simple, but this is the basics of how they are modified. Now, enough of the lecture, let me demonstrate to you how you will be going about making a new spell."
She turned to the blackboard, and started writing, all the while dictating out loud what she was doing.
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