Notice to quit shall be necessary only where the term is not to expire at a fixed time. In all cases in which a notice is required to be given by the landlord or tenant to determine a tenancy, two (2) months' notice, in writing, shall be given where the holding is from year to year, and one (1) month's notice shall be given where the holding is by the half-year or quarter-year; and where the letting is by the month or by the week, one (1) week's notice, in writing, shall be given. This section shall not apply to rental agreements governed by the Residential Landlord and Tenant Act.