Human-generated ambient or “environmental” (i.e., outdoor) sound levels are regulated primarily at the state / regional and local levels in the U.S. and most populated areas around the world, and this includes the city of Providence and the state of Rhode Island.
At the national level, federal noise abatement policy falls under Title IV of the Clean Air Act, and is regulated by the Environmental Protection Agency (EPA).1
To be clear, listing laws that regulate noise is not meant to imply that noise is primarily a legal issue — or, by extension, that the police are the only means of enforcing those laws — but rather serves as an expression of public policy in each jurisdiction, as determined over time by legislators elected by the residents of those areas.
1 Sound waves are transmitted through air (and water), which are major components of the natural and built environment. Excessive, persistent, and unnecessarily high sound levels are often referred to ”noise pollution“, which also explain noise it falls under the EPA's jurisdiction.