If the period for the lease has not been fixed, it is understood to be from year to year, if the rent agreed upon is annual; from month to month, if it is monthly; from week to week, if the rent is weekly; and from day to day, if the rent is to be paid daily. However, even though a monthly rent is paid, and no period for the lease has been set, the courts may fix a longer term for the lease after the lessee has occupied the premises for over one year. If the rent is weekly, the courts may likewise determine a longer period after the lessee has been in possession for over six months. In case of daily rent, the courts may also fix a longer period after the lessee has stayed in the place for over one month. (1581a)