diff --git a/th03/main/player/player.hpp b/th03/main/player/player.hpp
index 8bda2243..1de22000 100644
--- a/th03/main/player/player.hpp
+++ b/th03/main/player/player.hpp
@@ -30,7 +30,7 @@ extern farfunc_t_near chargeshot_render[PLAYER_COUNT];
 // ------------
 
 typedef struct {
-	SPPoint center;
+	PlayfieldPoint center;
 	bool is_hit;
 	uint8_t unused_1;
 	unsigned char invincibility_time;
diff --git a/th03/main/player/shot.hpp b/th03/main/player/shot.hpp
index 1845ee1e..bfa370d0 100644
--- a/th03/main/player/shot.hpp
+++ b/th03/main/player/shot.hpp
@@ -24,7 +24,7 @@ enum shot_active_t {
 struct shotpair_t {
 	char flag;
 	char unused_1;
-	SPPoint topleft;
+	PlayfieldPoint topleft;
 	Subpixel velocity_y;
 	unsigned int so_pid;
 	unsigned char so_anim;
diff --git a/th03/main/playfld.hpp b/th03/main/playfld.hpp
index 5faa744f..f04c2e13 100644
--- a/th03/main/playfld.hpp
+++ b/th03/main/playfld.hpp
@@ -19,6 +19,10 @@
 
 #define PLAYFIELD_VRAM_W_BORDERED (PLAYFIELD_W_BORDERED / BYTE_DOTS)
 
+// A subpixel point within one of the playfields. No conversion methods to
+// screen space here, since the instance doesn't know the playfield it is on.
+typedef SPPoint PlayfieldPoint;
+
 extern screen_x_t playfield_fg_shift_x[PLAYFIELD_COUNT];
 
 screen_x_t pascal playfield_fg_x_to_screen(Subpixel x, unsigned int pid);