  The masses of $^{84}$Br, $^{105}$Mo, $^{115,119,121}$Pd, $^{122}$Ag,
$^{127,129}$In, $^{132}$Sb and their respective isomeric states have been
measured with the JYFLTRAP Penning trap mass spectrometer using the
phase-imaging ion-cyclotron-resonance technique. The excitation energies of the
isomeric states in $^{132}$Sb and $^{119}$Pd were experimentally determined for
the first time, while for $^{84}$Br, $^{115}$Pd and $^{127,129}$In, the
precision of the mass values was substantially improved. In $^{105}$Mo and
$^{121}$Pd there were no signs of a long-lived isomeric state. The ground-state
measurements of $^{119}$Pd and $^{122}$Ag indicated that both are significantly
more bound than the literature values. For $^{122}$Ag, there was no indication
of a proposed third long-lived state. The results for the $N=49$ nucleus
$^{84}$Br and isomers close to doubly magic $^{132}$Sn have been compared to
the shell-model and the microscopic quasiparticle-phonon model calculations.
