I actually found that with specific cables, amps and sources you can make the HD-650 quite fatiguing! Yes, it's true..and they say you can't change a headphone's signature 
Most non-fatiguing is the HD-600 with it's stock CABLE only IMO. This headphone would be perfect for falling asleep with. More so than the HD-598.
I actually find the HD-600 less fatiguing than the HD-650 somehow.
The most fatiguing is the Grado SR-325i to me. I was younger when I first heard it and I'm been afraid of Grado after that. Lately the 225i has interested me, but maybe the HF-2 would be a better place to start.
The 325i to me was like someone banging pots and pans in my ears. One of the rare headphones that disgusted me. What's sad is that it was my first really expensive headphone purchase. 