What's the noun for ranking? Here's the word you're looking for.
rank
A row of people or things organized in a grid pattern, often soldiers [the corresponding term for the perpendicular columns in such a pattern is "file"].
(music) In a pipe organ, a set of pipes of a certain quality for which each pipe corresponds to one key or pedal.
One's position in a list sorted by a shared property such as physical location, population, or quality
The level of one's position in a class-based society
“Almost as angry as the descriptions of poverty was Orwell's denunciation of the chasm between prim middle-class socialists and the rickets and rankness of working-class life.”
“Judging by the rankness of the floor and the roughness of the shadows, Peter suspected that he was in some sort of cave.”
“Padlin felt cool, wet air against his cheeks and he caught the rankness of the East River.”