vaudeville vs music hall

vaudeville and music hall both are nouns.

Word	Noun	Adjective	Verb	Adverb
vaudeville	Yes	No	No	No
music hall	Yes	No	No	No

As nouns, vaudeville and music hall are synonyms defined as:

vaudeville and music hall: a variety show with songs and comic acts etc.

vaudeville (noun)	music hall (noun)
a variety show with songs and comic acts etc.	a theater in which vaudeville is staged
	a variety show with songs and comic acts etc.