You are correct, it is Narrow band, but addressed T-Band, which is now a whole other issue
"The main portion of the UHF system used by FDNY and NYPD operates on frequencies in
the “T-Band” (470-512 MHz), for which the January 1, 2013 narrowbanding deadline has
previously been waived in the T-Band Narrowbanding Waiver Order.3 The City now seeks a
similar waiver for additional non-T-Band channels that are operationally integrated with the
T-Band systems.4 "
... that said ... I am fairly certain the City of New York has filed with the FCC to retain their current frequencies. There was an exchange, which I can't find now, that basically said "you want to be the person to shut the NYPD's radios off and get reelected?" ... or something to that effect