  For a genus-1 1-bridge knot in the 3-sphere, that is, a (1,1)-knot, a middle
tunnel is a tunnel that is not an upper or lower tunnel for some
(1,1)-position. Most torus knots have a middle tunnel, and non-torus-knot
examples were obtained by Goda, Hayashi, and Ishihara. We generalize their
construction and calculate the slope invariants for the resulting middle
tunnels. In particular, we obtain the slope sequence of the original example of
Goda, Hayashi, and Ishihara.
