Im not a cable guy, read with a cup of salt.
Every change in a cable will result in a significant change in the overall tone and timbre your system. you really should proceed with caution when changing cables, as a misstep is likely to cost you not only good sound, but of course significant money. Why anyone would bother to even consider the use of a product designed by engineers (Who went to college to learn how to do this! What do the book worms know? Theyre a bunch of guys who cant hear trying to tell the world they are wrong if you ask me) when they could use any of the well reviewed alternatives provided by the audiophile cable guys. Yes yes, they may have no scientifically plausible explanation for the superiority of their cables where the pencil pushing engineers do, but anyone can hear the difference. You cant? Errrm, how do I say "you just cant hear politely."
Now that Im done putting on the emperors new clothes (in public no less!) I would in all seriousness say to use the cable you have. Any of the commonly used studio "quad cables" are nice. Im personally on the fence as to the importance of the 12" of headband (which is steel) but then, like I said Im not a cable guy. If it is any consolation or comfort, I choose to use the headband of the K240 for my DIY recable of them and think they sound GREAT. Doing a "split" re-cable to the K240 is not difficult, but you have to figure out how to do the strain releif/entrance on the right cup.
I should note that the Quad cables are all fairly microphonic IME. As a thought on an alternate cable twist or braid 4 strands of whatever you like and sleeve them in a multifilament sheath.