nautch dance vs dancing

nautch dance and dancing both are nouns.

Word	Noun	Adjective	Verb	Adverb
nautch dance	Yes	No	No	No
dancing	Yes	No	No	No

As nouns, dancing is a hypernym of nautch dance; that is, dancing is a word with a broader meaning than nautch dance:

nautch dance: an intricate traditional dance in India performed by professional dancing girls
dancing: taking a series of rhythmical steps (and movements) in time to music

Other hypernyms of nautch dance include dance, saltation, terpsichore.

nautch dance (noun)	dancing (noun)
an intricate traditional dance in India performed by professional dancing girls	taking a series of rhythmical steps (and movements) in time to music