I'm aware of what inflation is. And increasing evaluation of your rent, and your landlord being able to extract greater amounts of money from you because of the market, is not a function of gradual inflation. It is localized, and not a specific index measurement.

For example, let's say you lived in a small town in the 1800s. Gradual cost of livings, might go up 2% in a year, nationwide. But, a railroad Baron has decided to build a railroad through your town, It is now connected on between two large cities, you are the stopover point. All land in this place will go up significantly in value, if you were renting, your rent would go up. Irrespective of your wages necessarily, or general trends in inflation.