(a) A monthly tenancy or a tenancy from month to month may be terminated by the tenant or the landlord giving notice of termination to the other.
(b) If a notice of termination is given under Subsection (a) and if the rent-paying period is at least one month, the tenancy terminates on whichever of the following days is the later:
(1) the day given in the notice for termination; or
(2) one month after the day on which the notice is given.
(c) If a notice of termination is given under Subsection (a) and if the rent-paying period is less than a month, the tenancy terminates on whichever of the following days is the later:
(1) the day given in the notice for termination; or
(2) the day following the expiration of the period beginning on the day on which notice is given and extending for a number of days equal to the number of days in the rent-paying period.
(d) If a tenancy terminates on a day that does not correspond to the beginning or end of a rent-paying period, the tenant is liable for rent only up to the date of termination.
(e) Subsections (a), (b), (c), and (d) do not apply if:
(1) a landlord and a tenant have agreed in an instrument signed by both parties on a different period of notice to terminate the tenancy or that no notice is required; or
(2) there is a breach of contract recognized by law.