How did James Madison imagine that a federal republic with a strong central government might work, especially one that governed such a vast land area as that of the United States?

He believed that interests and factions will cancel each other

Explanation:

James madison believed that interests and divisions will cancel each other and virtous leaders will govern the people.

the answer would be in this answer. someone already asked the question.  

answer: musical connotation

leonard b. meyer (1918-2007) was an american composer, author and philosopher. his work emotion and meaning in music is perhaps the first major treatise on music. it is a philosophical and psychological work, greatly influenced by koffka (one of the major proponents of gestalt psychology). his work deals with the problem of musical meaning and musical communication.