  We calculate the gravity one-loop partition function of three-dimensional
parity even tricritical gravity. Agreement with logarithmic conformal field
theory single-particle partition functions on the field theory side is found
and we furthermore discover a partially massless limit of linearized
six-derivative parity even gravity. Then we define a "truncation" of the
critical theory, at the level of the partition function, by calculating black
hole determinants via summation over quasi-normal mode spectra and
discriminating against those modes which are not present in the physical
spectrum. This "truncation" is applied to critical new massive gravity and
three-dimensional parity even tricritical gravity.
