ceremonial dance vs dancing

ceremonial dance and dancing both are nouns.

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

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

ceremonial dance: a dance that is part of a religious ritual
dancing: taking a series of rhythmical steps (and movements) in time to music

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

ceremonial dance (noun)	dancing (noun)
a dance that is part of a religious ritual	taking a series of rhythmical steps (and movements) in time to music