A long time ago I posted questions about causes of brake pulsations. This is an update on the problem.
History: Under warranty dealer turned rotors twice and replaced the rotors once, then refused to do any more warranty work. I was determined to get to the root cause of the problem.
I purchased a runout gauge and started measuring the runout at various stages of pulsations and wear. It turned out after new rotors and a couple of rotor turnings that runout was not the problem. There was not a correlation between pulsations and runout.
I purchased very expensive racing rotors and pads to try but they were worse than Hyundai parts. I suspected brake pad material was the cause of the problem. So I started buying differ pads to try since I read that all manufacturers use different formulas for their pad's material.
What worked? The cheapest pads sold by AutoZone. They have been on for 6 months now and are still smooth. With the racing rotors that have been turned once. It has been an interesting endeavor but the problem seems to be solved for now.
Feedback is welcome and I hope this may help someone else with this issue.