high hat vs top hat

high hat and top hat both are nouns.

Word	Noun	Adjective	Verb	Adverb
high hat	Yes	No	No	No
top hat	Yes	No	No	No

As nouns, high hat and top hat are synonyms defined as:

high hat and top hat: a man's hat with a tall crown; usually covered with silk or with beaver fur

Other synonyms of high hat include beaver, dress hat, opera hat, silk hat, stovepipe, topper.

high hat (noun)	top hat (noun)
cymbals that are operated by a foot pedal	a man's hat with a tall crown; usually covered with silk or with beaver fur
a man's hat with a tall crown; usually covered with silk or with beaver fur