diff --git a/libs/waveview/wave_view.cc b/libs/waveview/wave_view.cc
index 7b7f7c28eb..938e85fd2a 100644
--- a/libs/waveview/wave_view.cc
+++ b/libs/waveview/wave_view.cc
@@ -1159,8 +1159,8 @@ WaveView::render (Rect const & area, Cairo::RefPtr<Cairo::Context> context) cons
 	double x  = self.x0 + image_origin_in_self_coordinates;
 	double y  = self.y0;
 	context->user_to_device (x, y);
-	x = round (x);
-	y = round (y);
+	x = floor (x);
+	y = floor (y);
 	context->device_to_user (x, y);
 
 	/* the coordinates specify where in "user coordinates" (i.e. what we
diff --git a/libs/waveview/waveview/wave_view_private.h b/libs/waveview/waveview/wave_view_private.h
index d3cf88c7e7..2a5a94b90b 100644
--- a/libs/waveview/waveview/wave_view_private.h
+++ b/libs/waveview/waveview/wave_view_private.h
@@ -140,7 +140,7 @@ public: // methods
 		return sample_end - sample_start;
 	}
 
-	samplepos_t get_center_sample ()
+	samplepos_t get_center_sample () const
 	{
 		return sample_start + (get_length_samples() / 2);
 	}