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greatninja3 The projectiles that they shoot are magic phenomenon brought by their respective diva which is called Summoning Magic. From what I remember the Summoning Magic from Level 1-9 is partial summoning, I think it’s like 10%-90%, making Level 10 the Complete Summon, I don’t know what would happen if two Summoner with the same contracted diva both use Level 10 at the same time. I just think Summoning Magic is that the Summoner would request for Magic from their Diva after that is Summoner’s choice on how to use the Magic.
Everyone that has Magic Power, when they’re aware of incoming danger, they will reflexively use Magic to cover their body to protect themselves, that's called the Defensive Magic. I don’t know if it would work against viruses or something that harms you inside, but Koyuki once tried cooking and it resulted to the 3rd years of the Witch’s House emitted blue lights (Defensive Magic) from their mouths. Magic Power is the only thing that could destroy the Defensive Magic.
The magic power used to enhance their body’s physical strength is extended until their Sword. That makes their Sword a Magic Sword. There are Sacred Treasures but I think they’re just a Magic Sword that has some added gimmicks. They can only reinforce part of their body which is why I think "Weapons are an extension of the body" is the explanation how they could reinforce their sword with magic.
Alchemy is where they use magic to enhance their sense to perceive the particles then Psychokinesis Magic or Pyrokinesis Magic to restructure the material, the material doesn’t contain any magic power, and they can't infuse it with magic. They even use magic in their cooking. General Magic is basic magic that doesn’t use the power of their Diva, but magic consumption is harsh for small scale effect, it loses to Summoning Magic in offensive power. The General Magic’s flexibility what makes it not a trivial magic in battle, although not everyone practiced to create some techniques or master their skills on it.
Well, despite the information the author written to explain everything in the story I still had a question here and there, and I may be wrong somewhere in my explanation.