I agree with what RamblinE said, I can add some experiences with the K242HD and K240DF.
The K240 Studio/mkII and K242HD are the same headphone, more or less, they just come with different bundles and color themes.
The old 600 Ohm K240's demand quite an amp, but don't mind high output impedances much, so are an ideal choice for use with receivers, integrated amps or powerful preamps.
The 55 Ohm ones are an ideal match for studio audio interfaces, think RME, Apogee, Echo Audio, M-Audio, E-MU and so on.
The K240DF is more bass light then the 55 Ohm ones, making it flat as a ruler.
It has a tighter sound, more detail, much better clarity and imaging.
You can tell that they are both K240's, but the DF trounces the 55 Ohm ones so badly it makes you wonder why they where ever discontinued.
This is all assuming you have an amp that drives the DF's, finding an amp that can tame them, is tricky.
But new info has come around, the drivers in K240 headphones have some vents on the backside.
On the K240DF, one of the vents is covered with some sort of resin, it seems the DF's use the same drivers as the K240 Monitor, but in that model, all vents are left open, making it more bassy, but also less clear, tight and detailed, as a result, it's not as neutral and accurate as the DF's.
The 55 Ohm K240's have the very same vents as the old ones, and if you cover some of the vents in the driver, you can make a sort of 55 Ohm K240DF.
Old thread, but recent events starting at post #34 are really interesting.
http://www.head-fi.org/t/416858/k-240-monitor-to-df-modification