diff --git a/pandas/_libs/tslibs/period.pyx b/pandas/_libs/tslibs/period.pyx
index bef1956996b4f..350216cf89ce4 100644
--- a/pandas/_libs/tslibs/period.pyx
+++ b/pandas/_libs/tslibs/period.pyx
@@ -1752,9 +1752,6 @@ cdef class _Period(PeriodMixin):
     def __cinit__(self, int64_t ordinal, BaseOffset freq):
         self.ordinal = ordinal
         self.freq = freq
-        # Note: this is more performant than PeriodDtype.from_date_offset(freq)
-        #  because from_date_offset cannot be made a cdef method (until cython
-        #  supported cdef classmethods)
         self._dtype = PeriodDtypeBase(freq._period_dtype_code, freq.n)
 
     @classmethod
@@ -1913,7 +1910,7 @@ cdef class _Period(PeriodMixin):
 
         Parameters
         ----------
-        freq : str, BaseOffset
+        freq : str, DateOffset
             The target frequency to convert the Period object to.
             If a string is provided,
             it must be a valid :ref:`period alias <timeseries.period_aliases>`.
@@ -2599,7 +2596,7 @@ cdef class _Period(PeriodMixin):
 
         Parameters
         ----------
-        freq : str, BaseOffset
+        freq : str, DateOffset
             Frequency to use for the returned period.
 
         See Also