e. modifying the whole rest of the sentence), I think they are essentially synonymous, Kedra, with ' incidentally ' more formal: Incidentally / By the way, I met my ex-wife on the train yesterday . As an adverb of more limited range, only ' incidentally ' will do, I think: He was only incidentally involved in that ménage à trois.
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You can't use "incidentally" here.Of course we can-- it is unremarkably natural.
"Incidentally, what's your home address?" and "By the way, what's your home address?".All I can say, Kedra, is that these to me are synonymous; take it or leave it.