diff --git a/masque/repetition.py b/masque/repetition.py
index a8de94c..99e1082 100644
--- a/masque/repetition.py
+++ b/masque/repetition.py
@@ -34,7 +34,7 @@ class Repetition(Copyable, Rotatable, Mirrorable, Scalable, Bounded, metaclass=A
         pass
 
     @abstractmethod
-    def __le__(self, other: 'Repetition') -> bool:
+    def __lt__(self, other: 'Repetition') -> bool:
         pass
 
     @abstractmethod
@@ -288,7 +288,7 @@ class Grid(Repetition):
             return False
         return True
 
-    def __le__(self, other: Repetition) -> bool:
+    def __lt__(self, other: Repetition) -> bool:
         if type(self) is not type(other):
             return repr(type(self)) < repr(type(other))
         other = cast('Grid', other)
@@ -347,7 +347,7 @@ class Arbitrary(Repetition):
             return False
         return numpy.array_equal(self.displacements, other.displacements)
 
-    def __le__(self, other: Repetition) -> bool:
+    def __lt__(self, other: Repetition) -> bool:
         if type(self) is not type(other):
             return repr(type(self)) < repr(type(other))
         other = cast('Arbitrary', other)
@@ -415,4 +415,3 @@ class Arbitrary(Repetition):
         """
         self.displacements = self.displacements * c
         return self
-
diff --git a/masque/test/test_repetition.py b/masque/test/test_repetition.py
index 5ef2fa9..f423ab2 100644
--- a/masque/test/test_repetition.py
+++ b/masque/test/test_repetition.py
@@ -49,3 +49,17 @@ def test_arbitrary_transform() -> None:
     # self.displacements[:, 1 - axis] *= -1
     # if axis=0, 1-axis=1, so y *= -1
     assert_allclose(arb.displacements, [[0, -10]], atol=1e-10)
+
+
+def test_repetition_less_equal_includes_equality() -> None:
+    grid_a = Grid(a_vector=(10, 0), a_count=2)
+    grid_b = Grid(a_vector=(10, 0), a_count=2)
+    assert grid_a == grid_b
+    assert grid_a <= grid_b
+    assert grid_a >= grid_b
+
+    arb_a = Arbitrary([[0, 0], [1, 0]])
+    arb_b = Arbitrary([[0, 0], [1, 0]])
+    assert arb_a == arb_b
+    assert arb_a <= arb_b
+    assert arb_a >= arb_b