Especially describes something that can be singled out as better or more than. An especially tall building is extremely tall.
Behind many good adverbs is a good adjective; this is especially true for the word especially, which is built from the common adjective special. This means something close to particularly and can be used to describe something that is more than something else. Basketball players are especially tall. Puppies and kittens are especially cute. The President is an especially important person. If you win first place in a piccolo contest then you are especially good at playing piccolo.