high hat vs dress hat

high hat and dress hat both are nouns.

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

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

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

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

high hat (noun)	dress 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