A magician is a human that can use magic. A person can either born with or without magic. A person that isn't born with magic can acquire it by coming in contact with it but if a person was born with magic, it means that either one or both their parents were magicians. If both their parents were magicians, the offspring will be referred to as a pure blood magician.
Mui Aiba - Pure Blood
Tsgunashi Aiba - Pure Blood