I'd like to know whether the word gig (temporary job) is formal or colloquial.
Always that I've read it, it has been in forums. I have never heard it or read it somewhere else, just in forums, which make me wonder about the formality of this word.
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Colloquial when referring to any job, usually just used for casual employment, e.g. "I got a gig as a gardener for a few weeks".
But if you're a musician, I'd think you could use it formally and it would make sense.
GIG noun: : a job usually for a specified time; especially : an entertainer's engagement.
Source: Merriam-Webster Dictionary
gig (n.2) "job," first used by jazz musicians, attested from 1915 but said to have been in use c.1905; of uncertain origin. As a verb, by 1939. Related: Gigged; gigging. Source: Etymology online
Given the origin and use I'd say it is used more on a colloquial basis.