A cable question, sort of...

No, you don’t. You’re not coiling the wire. You are coiling the cable (big difference). Look at the link at my previous post.

It’s just the same. I said "wire" but I could have said "cable". When you coil up either a wire or cable (pick your language preference), you affectively create an inductor - pretty much basic electrical engineering 101 you learn first in school.  The link you posted doesn't say much if anything.

But like I said, if the cable is long enough, you probably see a difference. If the cable is short, then probably not much.

@andy2  there is a big difference between cable and a wire.  Coiled wire inductance is increased because magnetic flux created by each turn adds up.  Cable has two wires that create magnetic flux in opposite direction and coiling them would create something that is called "Common Mode Choke" - a choke that has inductance only for common mode signals and no inductance for normal mode (differential) signals.  This principal is also used in creation of wirewound resistors that have no inductance (bifilar windings).

Coiling will have negative affect on the sound.

if it's the cable that came with the REL, you might want to consider an upgrade cable. I particularly like the upgrade REL and the Analysis Plus, and both come in much shorter lengths than the original REL...

Cable has two wires that create magnetic flux in opposite direction and coiling them would create something that is called "Common Mode Choke"

i think there’s a difference with common choke. In a common choke, the positive and negative have mutual inductance couple between them. When you coil up a cable, there is no mutual coupling like in that of a common choke.

As for the twisted pair, you do increase the mutual coupling, but just coiling up the cable, you just increase the inductance.