  Macroscopic realism (MR) is the notion that a time-evolving system possesses
definite properties, irrespective of past or future measurements. Quantum
mechanical theories can, however, produce violations of MR. Most research to
date has focused on a single set of conditions for MR, the Leggett-Garg
inequalities (LGIs), and on a single data set, the standard data set, which
consists of single-time averages and second-order correlators of a dichotomic
variable Q for three times. However, if such conditions are all satisfied, then
where is the quantum behaviour? In this paper, we provide an answer to this
question by considering expanded data sets obtained from finer-grained
measurements and MR conditions on those sets. We consider three different
situations in which there are violations of MR that go undetected by the
standard LGIs. First, we explore higher-order LGIs on a data set involving
third- and fourth-order correlators, using a spin-1/2 and spin-1 system.
Second, we explore the pentagon inequalities (PIs) and a data set consisting of
all possible averages and second-order correlators for measurements of Q at
five times. Third, we explore the LGIs for a trichotomic variable and
measurements made with a trichotomic operator to, again, identify violations
for a spin-1 system beyond those seen with a single dichotomic variable. We
also explore the regimes in which combinations of two and three-time LGIs can
be satisfied and violated in a spin-1 system, extending recent work. We discuss
the possible experimental implementation of all the above results.
