Piano Gate solutions

Is the Atrium Gate refering to the first gate the player opens? If so the code on the wiki is wrong. it's listed as :left_arrow::down_arrow::left_arrow::right_arrow:-:down_arrow::down_arrow::right_arrow::right_arrow: when it should be :left_arrow::down_arrow::left_arrow:-:down_arrow::left_arrow::right_arrow: (image for proof):

Is the listed solution for a different gate? I do remember it. Perhaps it changes on repeat playthroughs.

I checked through various playthroughs on youtube and I can only find the :left_arrow::down_arrow::left_arrow:-:down_arrow::left_arrow::right_arrow: solution to the puzzle. I have changed the text of the article to match this. The previously listed solution was for the "Library Gate" piano.