diff --git a/src/back.lua b/src/back.lua
index 26398b2..03433e5 100644
--- a/src/back.lua
+++ b/src/back.lua
@@ -162,8 +162,14 @@ function ease_ante(mod)
     end
 
     if G.GAME.tortoise and mod > 0 then
-        local disp = tonumber(G.GAME.round_resets.ante_disp) + mod / 2
-        mod = mod / 2 + (disp == math.floor(disp) and 0.5 or 0)
+        local remainder = 0
+
+        if mod % 2 == 1 then
+            G.GAME.tortoise_halved = not G.GAME.tortoise_halved
+            remainder = G.GAME.tortoise_halved and 0 or 1
+        end
+
+        mod = math.floor(mod / 2) + remainder
     end
 
     orig_ante(mod)