If we talk about high end phone then it means a quad core CPU, a high ram and good GPU. Without having high end hardware, no phone can be an extreme device. Here in Galaxy Note 4 and Galaxy Note Edge Samsung have done quiet few good things. First it has tried to keep the specification common so that people won’t get confused. Both the devices are going to have a 2.7GHz quad-core processor.
Being an extreme CPU, multi-tasking is lot faster on the same. There would be difference in the terms of ram and internal storage. But most of things are going to be same. Note Edge will offer you are 32GB or 64GB storage solution and in the same way if you go with Note 4 then you can find variation of 64GB. I am not sure about the 32GB version here. Other connectivity options will be similar here.