diff --git a/tempora/tests/test_schedule.py b/tempora/tests/test_schedule.py
index <HASH>..<HASH> 100644
--- a/tempora/tests/test_schedule.py
+++ b/tempora/tests/test_schedule.py
@@ -64,13 +64,14 @@ class TestCommands:
         two_days_from_now = day_from_now + daily
         assert day_from_now < next_cmd < two_days_from_now
 
-    @pytest.mark.parametrize("hour", range(24))
-    def test_command_at_noon_distant_local(self, hour):
+    @pytest.mark.parametrize("hour", range(10, 14))
+    @pytest.mark.parametrize("tz_offset", (14, -14))
+    def test_command_at_noon_distant_local(self, hour, tz_offset):
         """
         Run test_command_at_noon, but with the local timezone
         more than 12 hours away from UTC.
         """
-        with freezegun.freeze_time(f"2020-01-10 {hour:02}:01", tz_offset=-14):
+        with freezegun.freeze_time(f"2020-01-10 {hour:02}:01", tz_offset=tz_offset):
             self.test_command_at_noon()
Test both <I> and -<I> timezone offsets. Ref #8.