Hey guys ... the MAXIMUM interval is 7,500/6 mos. ... you can always elect to do it more often.
If you are leasing the vehicle and plan to return it at the end of the lease, then do "Honda recommended" [e.g. Honda required] to maintain warranty coverage. Making sure the oil is "always good" extends engine life. With Honda, we're talking big miles. If its a lease, not your problem.
If you purchased the vehicle, then do what your heart tells you. If you drive 15,000 per year, Honda requires 2 oil changes per year. Changing every 5,000 vs. 7,500 is one extra oil change a year. To me, the extra $20-25 per year is a worth while investment [e.g. a no brainer]. Changing every 4,000 miles is an extra $40-50 per year [again a non-issue to insure you get the most over the LONG RUN].
In my case, I think I am going to go synthetic every 7,500 [Mobil-1]. This won't save money [vs. conventional at 4,000] but it will decrease the "inconvenience" without compromising taking good care of the vehicle.
Just opinions ... not claiming this is gospel