contra danse vs folk dancing

contra danse and folk dancing both are nouns.

Word	Noun	Adjective	Verb	Adverb
contra danse	Yes	No	Yes	No
folk dancing	Yes	No	No	No

As nouns, folk dancing is a hypernym of contra danse; that is, folk dancing is a word with a broader meaning than contra danse:

contra danse: a type of folk dance in which couples are arranged in sets or face one another in a line
folk dancing: a style of dancing that originated among ordinary people (not in the royal courts)

Other hypernyms of contra danse include folk dance.

contra danse (noun)	folk dancing (noun)
a type of folk dance in which couples are arranged in sets or face one another in a line	a style of dancing that originated among ordinary people (not in the royal courts)

contra danse (verb)	folk dancing (verb)
perform a contradance