Let's say on Tuesday a congregant or the Shat"z said the Shabbat mizmor, accidentally. Does either one need to repeat it saying the correct one for that day of the week?
I know that this is "just Tehillim", and one can say any Tehillim at the end of tefilla. (I've seen many shuls add one or two esp. Shir Hama'lot. It's usually done for the ill or so that someone can say Kaddish, etc.) But, perhaps because one introduced the mizmor of the day with the phrase, e.g.:
"Today is the 3rd day of the week which on it the Levi'im would say in the Bet Hamikdash"
And then, he says the wrong mizmor. In a sense, it seems to be a misleading statement, perhaps, as the Levi'im did not say the Shabbat mizmor that day.