diff --git a/Lib/_collections_abc.py b/Lib/_collections_abc.py
index d92b848..bff58ad 100644
--- a/Lib/_collections_abc.py
+++ b/Lib/_collections_abc.py
@@ -696,6 +696,7 @@ def _hash(self):
             hx = hash(x)
             h ^= (hx ^ (hx << 16) ^ 89869747)  * 3644798167
             h &= MASK
+        h ^= (h >> 11) ^ (h >> 25)
         h = h * 69069 + 907133923
         h &= MASK
         if h > MAX:
diff --git a/Lib/test/test_collections.py b/Lib/test/test_collections.py
index f98048b..1f659d7 100644
--- a/Lib/test/test_collections.py
+++ b/Lib/test/test_collections.py
@@ -1801,6 +1801,18 @@ def __repr__(self):
         self.assertTrue(f1 != l1)
         self.assertTrue(f1 != l2)
 
+    def test_Set_hash_matches_frozenset(self):
+        sets = [
+            {}, {1}, {None}, {-1}, {0.0}, {"abc"}, {1, 2, 3},
+            {10**100, 10**101}, {"a", "b", "ab", ""}, {False, True},
+            {object(), object(), object()}, {float("nan")},  {frozenset()},
+            {*range(1000)}, {*range(1000)} - {100, 200, 300},
+            {*range(sys.maxsize - 10, sys.maxsize + 10)},
+        ]
+        for s in sets:
+            fs = frozenset(s)
+            self.assertEqual(hash(fs), Set._hash(fs), msg=s)
+
     def test_Mapping(self):
         for sample in [dict]:
             self.assertIsInstance(sample(), Mapping)