What do we calla moon that is less than full but more than half?

A moon that is less than full but more than half is called a "gibbous moon." Specifically, it can be referred to as a "waxing gibbous" when it is moving toward full, or a "waning gibbous" when it is moving away from full. The term "gibbous" describes the shape of the moon as it appears bulging or rounded.