different between gayety vs hilarity

English

gayety (usually uncountable, plural gayeties)

Alternative spelling of gaiety
- 1859, Ferna Vale, Natalie; or, A Gem Among the Sea-Weeds
  Amid all the splendor and gayety of fashionable life in Italy, the Sea-flower was never so happy as when seated in the ivy bower, which looked out upon a little lake, the same which had been her mother's favorite place of retreat [...]

From Latin hilaritas, "cheerfulness", from adjective hilaris, "cheerful", ultimately from Greek, + noun of state suffix -tas.

hilarity (countable and uncountable, plural hilarities)

(uncountable) A great amount of amusement, usually accompanied by laughter.
(countable) Something that induces laughter.
- 1999, Vincent Canby, Janet Maslin and Peter M. Nichols, The New York times guide to the best 1000 movies ever made,
  Think it not curious if we don't seem to be as sidesplittingly impressed with the hilarities in this picture as its promotion might lead you to expect. Hilarity is in it—hilarity at its best—as would be almost mandatory in any film with Miss Holliday.
- 2005, Library journal, Volume 130, Issues 8-13, Page 122,
  Many other Latin imports have become staples of our diet, like the burrito, which in Spanish means "little donkey." What other food-related hilarities are we missing out on?

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