My experience doesn't cover all brands of batteries, but it covers all types of 9V batteries. There is a huge difference in sound, IME. The best sounding 9V batteries are the NiCd accumulators, thats for sure. They have best power output(lowest R), so its like having a more powerful amp to drive the headphones. NiMH are weaker for that matter, though still not that bad. Alkaline and regular, on the other hand, don't cut it for audio. They simply don't sound right - grainy sound, higher distortion, less impactful bass. Not recommended. NiCd batteries have shortcomings, too - they have much lower capacity(mAh) than NiMH. Anyway, 9V batteries have high impedance compared to the 1.2V rechargeables - practically the 9V batteries are several(usually 7) 1.2V elements in series, so they have the sum of the elements' resistance. So I don't recommend to be used a single 9V battery in an amp. 2x9V NiCd is plausible. Don't forget, you don't really need 9V batteries for low-impedance cans. You may put 4x1.2V NiCd rechargeables instead(in series). That will provide around the same resistance as 2x9V NiCd, while capacity will be doubled, at least.