ritual dance vs ritual dancing

ritual dance and ritual dancing both are nouns.

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

As nouns, ritual dance and ritual dancing are synonyms defined as:

ritual dance and ritual dancing: a dance that is part of a religious ritual

Other synonyms of ritual dance include ceremonial dance.

ritual dance (noun)	ritual dancing (noun)
a dance that is part of a religious ritual	a dance that is part of a religious ritual