Here are some possible scenarios:
* Typo: Perhaps you meant "conviviality" which refers to a lively and enjoyable atmosphere, especially at a social gathering.
* Made-up word: The word may have been invented for a specific purpose, like a fictional story or a game.
* Misunderstanding: It's possible you heard or saw a word similar to "consernity" but it was misheard or mispronounced.
To help me understand what you mean, please provide more context:
* Where did you encounter the word? (e.g., a book, a conversation, online)
* What was the surrounding text or conversation?
With more information, I might be able to decipher the intended meaning.