The state of being above or beyond what is normal or usual.
Supernormality can make people think of extraordinary things or abilities.
Examples:
Her intelligence is a sign of her supernormality.
The superhero's supernormality allowed him to fly.
Supernormality is not common in regular people.
The cat's ability to talk is a kind of supernormality.
In the world of magic, supernormality is the norm.
The dog's supernormality was that it could read minds.