The magic in The Tempest was able to create many abnormal happenings as well as different feelings that are shown through the characters of Milan. There were two different types of magic that were shown one was represented by witches and wizards, this type of magic was not the beneficial type of magic. The beneficial type of magic was created by studies that were done in secret and used to discover new forces, and to study the greater effects of physics. All this magic that took place results in many of the illusions that were created on the island.
There are many illusions that seem to happen quite frequently, while the shipwrecked persons of Milan were on the island that was created by Prospero's powers. Many of these encounters may not even be illusions but figments of their imagination as well as hallucinations. While others tend to happen because of the magic that Prospero creates with his mind.
The spirits of the air are the highest type these include Ariel, Ceres, Iris, Juno, as well as the nymphs. Each part of the magic symbolizes a certain part of the island. The spirits of the air I have already mentioned another type would be the spirits of the earth. These would include the goblins, the dogs and hounds that were used to disease Caliban and his associates. (: 'Our natures do pursue, Like rats that ravin down their proper bane, A thirsty evil; and when we drink we die. [Act 1, sc. 2]) Another form of the earth spirits would be the nymphs (Prospero: 'Go make yourself like a nymph o' th' sea. Be subject To no sight but thine and mine, invisible to every eyeball else. Go take this shape and hither come in't. Go! Hence...