The characteristic impedance of a cable is determined by its physical construction, including what dielectric has been used for insulation. For instance, with air dielectric coax, the impedance is the square root of the ratio of the squares of the outside (shield) and inside (conductor) diameters. There's a similar formula for balanced (paired) lines, but I've long since forgotten it (Obviously, we use these bits of information frequently
).
Characteristic impedance really only becomes important when the transmission line (wire) starts to become a significant part of a wavelength, or generally about 1/8 wavelength. Unless you're the phone company, you probably aren't dealing with analog audio lines that long. For digital audio, where the frequencies are much higher, we do (or should) care.
Typical "analog" twisted pair wire (Belden 8451) has a characteristic impedance of about 60 ohms, so it's not ideal for 110 ohm AES/EBU if you're running any length. There is no downside to using 110 ohm cable for analog audio at any practical distance, except that the conductors tend to be smaller, and the insulation is thicker.
GTD