Assuming that we can read «two rental periods» as «two whole months» (if there is something else in the lease that indicates this, such as a rent due - date), then we can interpret the notice requirement as saying that you must give notice before the first of the month 2 months before
the intended end of tenancy — that is one meaning of the lease.
The procedure is
intended to protect the tenant who breaches the terms
of a no - date possession order in a de minimus way: the absence
of a date for his possession means that such a breach will not deprive him
of his
tenancy status because a secure
tenancy can only
end once a date for giving up possession has been fixed — HA 1985, s 82 (2), and a similar situation probably applies to assured
tenancies.