I've been trying to drive the Zircons with various sources & amps I've had around the house, and I have to say: man are they picky. Didn't think having 16 ohm impedance would be such a big deal but it turns out that the output impedance on a lot of devices is simply too high to deliver tight, controlled bass on these headphones and instead what you get is a muddled mess that sounds out of time with the rest of the song.
I tried two smartphones, LG L5 E610, and an Xperia M C1905 - both of the headphone outs fail spectacularly. Bass is all over the place, sounds like its playing on its own, high frequencies are not that great either.
Tried Toshiba Satellite C660 headphone output - two settings, headphone / line out. "Line out" seems to cut all the bass below 100 Hz, there is virtually none. "Headphone" setting makes bass sound about 5 dB louder than normal on the Zircons and sounds muddy as all hell, and totally uncontrolled.
I also tried two stereo receivers, the Yamaha Rx-396 and the Sony TA F-100 which were no good either, though not as bad as the smartphones.
The only DAC / amp that I have, capable of driving them correctly are the rear jacks on the motherboard of my desktop PC, using the top-notch Realtek ALC889 codec which measure really well for an onboard chip:
http://www.tomshardware.co.uk/high-end-pc-audio,review-32894-6.html
Odd thing here is that they quote the ALC889 as having an output impedance of 77 Ohms - I have no idea how they got that measurement as that would definitely not sound right with these. I'm only assuming that they assigned the jacks to the "Headphone" setting instead of "Line out", which for some reason completely cuts out the bass and boosts the highs by 12 dB on all headphones I own, which sounds totally wrong and is more likely to have an output impedance of 77 Ohm. The codec manual also lists something that entirely conflicts the reality:
Output Impedance
Amplified Output 2
Non-Amplified Output 200
Since the "Headphone" mode presumably activates the amp, it should sound a lot better on these headphones, yet it doesn't. It sounds totally wrong.
In the end, only the "Line out" setting - from the rear jack, mind you, not the front one - sounds correct.
I can only hope that the Xperia Z3 can drive them as well as the ALC889. It's very frustrating being unable to find exact specifications for the audio outputs of pretty much any phone - it's a wild guess. It is hard enough to find for dedicated audio codecs, and on most smartphones the audio seems to be an afterthought. Though it's very easy to hear if the impedance is high the very moment you play a bass-heavy song, if the bass sounds lagging, heavy, uncontrolled, it's probably higher than the minimum 2 ohms.