The title here is a little misleading. A signal that repeated once per hour, as in 60 minutes, would be pretty astounding, and might be a good way for a civilization with enough information about us to say ‘hi’ in a way we’d recognize. It would certainly be very strange to see a natural phenomenon ticking away the hours at a precise rate.
53.8 minutes, on the other hand, is a bit less attention grabbing.
I’d argue that a more precise timing like 53.8 minutes is more attention grabbing. It shows finer grained control of technology; a “look here! we can do this too!” sort of demonstration.
If we are the “more advanced” neighbor; then I could see that being done.