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Somewhere I remember seeing they are supposed to push 150ohms with the built in amp, but my understanding your post is that they aren't a 150ohm amp?? Sorry, but I am confused.
Impedance is resistance, measured in Ohms.
The higher the impedance (resistance), the more voltage you need to overcome that resistance.
It is recommended that the Ohm rating of the headphone be at least 8 times the Ohms rating of the headphone output jack.
Otherwise you get problems like bloated bass.
I'm not sure the Ohm rating of the headphone jack of the Xonar DG, it might be as low as 10-Ohms, just not sure.
I've used 50-Ohm (HD558) headphones with an Xonar DG ad it sounded fine.
Sound card headphone output Ohm ratings.
The Essence STX & ST have 10-Ohm
The Titanium HD is 35-Ohms
The Xonar DX & D1 might have be as high as 100-Ohm
I've always guessed A/V receiver's headphone jack have high Ohm ratings, but there is almost zero date on that.
About the only headphone amplifiers that have under 10-Ohm rating are external and portable headphone amps.
The Xonar DG puts out enough voltage to fairly (decently) drive headphones that are 150-Ohms.
The Xonar DG can barely drive 250-Ohm headphones with the volume maxed out (so not recommended)