diff --git a/lib/matplotlib/ticker.py b/lib/matplotlib/ticker.py
index 84192c7b9e26..2bd27db49050 100644
--- a/lib/matplotlib/ticker.py
+++ b/lib/matplotlib/ticker.py
@@ -1614,10 +1614,10 @@ def __call__(self):
     def tick_values(self, vmin, vmax):
         if vmax < vmin:
             vmin, vmax = vmax, vmin
-        vmin = self._base.ge(vmin)
         base = self._base.get_base()
-        n = (vmax - vmin + 0.001 * base) // base
-        locs = vmin - base + np.arange(n + 3) * base
+        nmin = round(self._base.ge(vmin) / base)
+        nmax = round(self._base.le(vmax) / base)
+        locs = np.arange(nmin, nmax + 1) * base
         return self.raise_if_exceeds(locs)
 
     def view_limits(self, dmin, dmax):