diff --git a/src/cartographerFlatXY.js b/src/cartographerFlatXY.js
index ad522c0..13b194e 100644
--- a/src/cartographerFlatXY.js
+++ b/src/cartographerFlatXY.js
@@ -64,11 +64,11 @@ export default class CartographerFlatXY extends Cartographer {
 	}
 
 	calculateHorizontalScale(pixels, tiles) {
-		return pixels / tiles / 2;
+		return pixels / tiles / invSqrt2 / 2;
 	}
 
 	calculateVerticalScale(pixels, tiles) {
-		return pixels / tiles / 2;
+		return pixels / tiles / invSqrt2 / 2;
 	}
 
 	tileToPixel(square) {
diff --git a/src/cartographerPointyXY.js b/src/cartographerPointyXY.js
index 6ccf2ad..a5e1140 100644
--- a/src/cartographerPointyXY.js
+++ b/src/cartographerPointyXY.js
@@ -64,11 +64,11 @@ export default class CartographerPointyXY extends Cartographer {
 	}
 
 	calculateHorizontalScale(pixels, tiles) {
-		return pixels / sqrt2 / (tiles + 1);
+		return pixels / (tiles / 2) / 2;
 	}
 
 	calculateVerticalScale(pixels, tiles) {
-		return pixels / sqrt2 / (tiles + 1);
+		return pixels / (tiles / 2) / 2;
 	}
 
 	tileToPixel(square) {