diff --git a/odc/geo/gridspec.py b/odc/geo/gridspec.py
index 6a228b4..b5140d7 100644
--- a/odc/geo/gridspec.py
+++ b/odc/geo/gridspec.py
@@ -66,9 +66,12 @@ def __init__(
         self.crs = norm_crs_or_error(crs)
         self._shape = tile_shape
         self.resolution = resolution
+
+        # This is an arbitrary rounding of 12 decimal places
+        # I don't know how to make it more robust
         self.tile_size = xy_(
-            tile_shape.x * abs(resolution.x),
-            tile_shape.y * abs(resolution.y),
+            round(tile_shape.x * abs(resolution.x), 12),
+            round(tile_shape.y * abs(resolution.y), 12),
         )
         self.origin = origin
 
diff --git a/tests/test_gridspec.py b/tests/test_gridspec.py
index 1ba5769..e1810aa 100644
--- a/tests/test_gridspec.py
+++ b/tests/test_gridspec.py
@@ -9,7 +9,7 @@
 import pytest
 from pytest import approx
 
-from odc.geo import CRS, res_, resyx_, xy_, yx_
+from odc.geo import CRS, res_, resyx_, xy_, yx_, XY
 from odc.geo.geom import polygon
 from odc.geo.gridspec import GridSpec
 from odc.geo.testutils import SAMPLE_WKT_WITHOUT_AUTHORITY
@@ -17,6 +17,33 @@
 # pylint: disable=protected-access,use-implicit-booleaness-not-comparison
 # pylint: disable=comparison-with-itself,unnecessary-comprehension
 
+def test_gridspec_small():
+    print("Starting test for GridSpec")
+    WGS84GRID30 = GridSpec("EPSG:4326", tile_shape=(5000, 5000), resolution=0.0003, origin=XY(-180, -90))
+
+    assert WGS84GRID30.tile_shape == (5000, 5000)
+    assert WGS84GRID30.tile_size == XY(1.5, 1.5)
+
+    # Tile is at (-180 + 50*1.5) and (-90 + 50*1.5)
+    tile = (50, 50)
+    geobox = WGS84GRID30.tile_geobox(tile)
+    affine = geobox.affine
+
+    # Affine should be like this: (0.0003, 0, -105.0, 0, -0.0003, -13.5)
+    assert affine.a == 0.0003
+    assert affine.c == -105.0  # -180 + 50 * 1.5 * 0.0003
+    assert affine.f == -13.50  # -90 + 50 * 1.5 * 0.0003
+
+    # Tile is at (-180 + 200*1.5) and (-90 + 75*1.5)
+    tile = (200, 75)
+    geobox = WGS84GRID30.tile_geobox(tile)
+    affine = geobox.affine
+
+    # Affine should be like this: (0.0003, 0, 120.0, 0, -0.0003, 24.0)
+    assert affine.a == 0.0003
+    assert affine.c == 120.0  # -180 + 200 * 1.5 * 0.0003
+    assert affine.f == 24.0  # -90 + 75 * 1.5 * 0.0003
+
 
 def test_gridspec():
     gs = GridSpec(