  In [3] the authors studied the 4-parameter family of isospectral flat 4-tori
T^\pm(a,b,c,d) discovered by Conway and Sloane. With a particular method of
counting nodal domains they were able to distinguish these tori (numerically)
by computing the corresponding nodal sequences relative to a few explicit
tuples (a,b,c,d). In this note we confirm the expectation expressed in [3] by
proving analytically that their nodal count distinguishes any 4-tuple of
distinct positive real numbers.
