I doubt you need a 1-hour Fire rated ceiling.
Fire sprinklers eliminate the need for fire rated construction in wood frame buildings, unless 1) encroachment on property line setback requirements, 2) hazardous storage facility, 3) fire separation between an occupancy type “I” (institutional) and other occupancies.
Also, it may be required under local sub-division requirements (CC&R’s).
However, fire ratings are based on SYSTEMS. if you need a 1-hour fire rated SYSTEM, you can use: 1) 5/8” Type “X” on the ceilings with joists spaced up to 24” oc, or 2) 1/2” Type “C” gypsum board on the ceiling with joist spacing up to 16” oc. If you need to space the framing further apart than 24”, you can add stripping, but nailing is critical...I’d check with the local Building Official.
Remember, nailing size, type and spacing is critical.