  Nonequilibrium quantum noise $S^>(\omega,V)$ measured at finite frequencies
$\omega$ and bias voltages $V$ probes Majorana bound states in a host
nanostructure via fluctuation fingerprints unavailable in average currents or
static shot noise. When Majorana interference is brought into play, it enriches
nonequilibrium states and makes their nature even more unique. Here we
demonstrate that an interference of two Majorana modes via a nonequilibrium
quantum dot gives rise to a remarkable finite frequency response of the
differential quantum noise $\partial S^>(\omega,V,\Delta\phi)/\partial V$
driven by the Majorana phase difference $\Delta\phi$. Specifically, at low bias
voltages there develops a narrow resonance of width
$\hbar\Delta\omega\sim\sin^2\Delta\phi$ at a finite frequency determined by
$V$, whereas for high bias voltages there arise two antiresonances at two
finite frequencies controlled by both $V$ and $\Delta\phi$. We show that the
maximum and minimum of these resonance and antiresonances have universal
fractional values, $3e^3/4h$ and $-e^3/4h$. Moreover, detecting the frequencies
of the antiresonances provides a potential tool to measure $\Delta\phi$ in
nonequilibrium experiments on Majorana finite frequency quantum noise.
