I actually compared the HD560s, HD600, HD650 and AKG K371 at the same time.
DAC and amp I use is the Anedio D2.
In the end I rated the headphones like this:
HD650 > HD600 > HD560s > K371
This is based on all headphones EQ-ed to the Harman curve with the Oratory1990 measurements and EQ presets...