music hall vs variety

music hall and variety both are nouns.

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

As nouns, variety is a hypernym of music hall; that is, variety is a word with a broader meaning than music hall:

Other hypernyms of music hall include variety show.

music hall (noun)	variety (noun)
a theater in which vaudeville is staged	noticeable heterogeneity
a variety show with songs and comic acts etc.	a difference that is usually pleasant
	a category of things distinguished by some common characteristic or quality
	a show consisting of a series of short unrelated performances
	(biology) a taxonomic category consisting of members of a species that differ from others of the same species in minor but heritable characteristics
	a collection containing a variety of sorts of things