diff --git a/pandas/core/indexes/period.py b/pandas/core/indexes/period.py
index e25119162368f..0f9a0052c18d0 100644
--- a/pandas/core/indexes/period.py
+++ b/pandas/core/indexes/period.py
@@ -65,7 +65,7 @@ def _new_PeriodIndex(cls, **d):
     wrap=True,
 )
 @inherit_names(["is_leap_year", "_format_native_types"], PeriodArray)
-class PeriodIndex(DatetimeIndexOpsMixin, Int64Index):
+class PeriodIndex(DatetimeIndexOpsMixin):
     """
     Immutable ndarray holding ordinal values indicating regular periods in time.
 
@@ -436,8 +436,7 @@ def join(self, other, how="left", level=None, return_indexers=False, sort=False)
             )
 
         # _assert_can_do_setop ensures we have matching dtype
-        result = Int64Index.join(
-            self,
+        result = super().join(
             other,
             how=how,
             level=level,
diff --git a/pandas/io/pytables.py b/pandas/io/pytables.py
index 21f7899f24b51..d7ee4acc2e670 100644
--- a/pandas/io/pytables.py
+++ b/pandas/io/pytables.py
@@ -44,6 +44,7 @@
     is_list_like,
     is_string_dtype,
     is_timedelta64_dtype,
+    needs_i8_conversion,
 )
 from pandas.core.dtypes.missing import array_equivalent
 
@@ -4771,7 +4772,7 @@ def _convert_index(name: str, index: Index, encoding: str, errors: str) -> Index
     kind = _dtype_to_kind(dtype_name)
     atom = DataIndexableCol._get_atom(converted)
 
-    if isinstance(index, Int64Index):
+    if isinstance(index, Int64Index) or needs_i8_conversion(index.dtype):
         # Includes Int64Index, RangeIndex, DatetimeIndex, TimedeltaIndex, PeriodIndex,
         #  in which case "kind" is "integer", "integer", "datetime64",
         #  "timedelta64", and "integer", respectively.