The electors in a financial town meeting of any town qualified to vote on any proposition to impose a tax or for the expenditure of money, or the city council of any city, not having a fiscal year beginning July 1, may vote at any financial town or city council meeting, provided, that the fiscal year in the town or city in which a vote is passed shall there after begin with July 1 of each calendar year and end with June 30 of the following calendar year.
R.I. Gen. Laws § 35-2-2