brain coral vs madrepore

brain coral and madrepore both are nouns.

Word	Noun	Adjective	Verb	Adverb
brain coral	Yes	No	No	No
madrepore	Yes	No	No	No

As nouns, madrepore is a hypernym of brain coral; that is, madrepore is a word with a broader meaning than brain coral:

brain coral: massive reef-building coral having a convoluted and furrowed surface
madrepore: corals having calcareous skeletons aggregations of which form reefs and islands

Other hypernyms of brain coral include madriporian coral, stony coral.

brain coral (noun)	madrepore (noun)
massive reef-building coral having a convoluted and furrowed surface	corals having calcareous skeletons aggregations of which form reefs and islands