diff --git a/src/evaluate.cpp b/src/evaluate.cpp
index 0b1956f1..cbcebd04 100644
--- a/src/evaluate.cpp
+++ b/src/evaluate.cpp
@@ -761,11 +761,16 @@ namespace {
     // If scale is not already specific, scale down the endgame via general heuristics
     if (sf == SCALE_FACTOR_NORMAL)
     {
-        if (   pos.opposite_bishops()
-            && pos.non_pawn_material() == 2 * BishopValueMg)
-            sf = 22;
+        if (pos.opposite_bishops())
+        {
+            if (   pos.non_pawn_material(WHITE) == BishopValueMg
+                && pos.non_pawn_material(BLACK) == BishopValueMg)
+                sf = 22;
+            else
+                sf = 22 + 3 * pos.count<ALL_PIECES>(strongSide);
+        }
         else
-            sf = std::min(sf, 36 + (pos.opposite_bishops() ? 2 : 7) * pos.count<PAWN>(strongSide));
+            sf = std::min(sf, 36 + 7 * pos.count<PAWN>(strongSide));
 
         sf = std::max(0, sf - (pos.rule50_count() - 12) / 4);
     }