diff --git a/core/src/ui/holds.rs b/core/src/ui/holds.rs
index 080352c..244aea9 100644
--- a/core/src/ui/holds.rs
+++ b/core/src/ui/holds.rs
@@ -55,23 +55,26 @@ impl Holds {
         if rel == 0 {
             return Self::ANY;
         }
-        // In half steps. The box a length was composed down the chain from
-        // and the box the same length is measured against the window in are
-        // two routes to one number, each rounding where the other does not,
-        // and each rounding drops a whole step since `Fixed::mul` truncates:
-        // two steps either side. The multiply on the way in drops a step of
-        // its own, and only downward, so it is one more step at the top and
-        // nothing at the bottom -- and the whole of a box has no multiply in
-        // it, however many pixels were added to it, since multiplying by one
-        // is exact and taking the pixels off again is too. Allowing for it
-        // there anyway compounded, a step a level down a chain of widgets
-        // each taking the whole of its parent, which is the unsound
-        // direction: a range wider than what a drawing holds for admits
-        // reusing it where it does not hold.
+        // In half steps, and no more than the arithmetic needs: too wide a
+        // range admits reusing a drawing where it does not hold, and too
+        // narrow a one leaves out the box a drawing was made in, which the
+        // `Holds` assertion in `draw_at` catches. `ROUTES` is at that floor
+        // -- two half steps fires it -- and tightening both ends moved not
+        // one of the rig's work counters, so the slack is not buying reuse.
+        //
+        // `ROUTES` covers a box composed down the chain against the same box
+        // measured against the window: two routes to one number, each
+        // rounding where the other does not. `way_in` covers the multiply
+        // this inverts, which drops a step and only ever downward, so it
+        // belongs at the top of the range alone -- and the whole of a box has
+        // no multiply in it, however many pixels were added to it, since
+        // multiplying by one is exact and taking the pixels off again is too.
+        // Allowing for it there anyway compounded, a step a level down a
+        // chain of widgets each taking the whole of its parent.
         //
         // Shifted by half of what a `Rel` counts in, to divide by the
         // fraction: exact until the division takes it back to the grid.
-        const ROUTES: i64 = 4;
+        const ROUTES: i64 = 3;
         let px = len.px.raw() as i64;
         let half_rel = REL_SHIFT - 1;
         let way_in = match rel == Rel::ONE.raw() as i64 {
@@ -136,19 +139,20 @@ mod tests {
     /// taken off it, brings no multiply of its own: only the two routes to
     /// the same length are left to allow for, and not a rounding that did
     /// not happen. Widening for it as well grew the interval a level at a
-    /// time down a chain of them.
+    /// time down a chain of them. Three half steps come back as one whole
+    /// one, since dividing by a whole box is dividing by one.
     #[test]
     fn the_whole_of_a_box_widens_by_the_routes_alone() {
         let at = Px::from_int(956);
-        let two_steps = |len: Px| Holds {
-            lo: len - Px::from_raw(2),
-            hi: len + Px::from_raw(2),
+        let one_step = |len: Px| Holds {
+            lo: len - Px::STEP,
+            hi: len + Px::STEP,
         };
-        assert_eq!(Holds::at(at).through(Len::FULL), two_steps(at));
+        assert_eq!(Holds::at(at).through(Len::FULL), one_step(at));
         let less_eight = Len::from_parts(Rel::ONE, Px::from_int(-8));
         assert_eq!(
             Holds::at(at).through(less_eight),
-            two_steps(at + Px::from_int(8))
+            one_step(at + Px::from_int(8))
         );
     }