speakerfritz:Note that pin 2 is the upper half of the sine wave and pin 3 is the lower half...this means that the signals are inverted
In the ideal state...
That's not true, nor is the notion of pin 3 carrying an opposite phase signal. The only thing a balanced connection provides is an equal output impedance and an equal input impedance so that common mode noise has equal amplitude on both legs and then gets rejected with the differential input. The reason for the 6dB gain is because the input voltage is not being referenced to ground.
An engineer that doesn't understand common mode rejection could certainly put an inverted output stage on pin 3 and everything can work. However, it is not guaranteed to work. If the output stages don't have the same output impedance, then the common mode rejection no longer works.
In other words, one can absolutely send the signal only over pin 2 and achieve the common mode rejection (in many cases it achieves better CMR). The only purpose that balanced connections serve is to provide noise immunity. If noise is not an issue, then there is good argument that an unbalanced connection should actually yield better performance.
Shame on me for not providing any references to more reliable sources. If anyone wants to research this further, let me know, and I can provide all sorts of documentation. Personally, I find the technical details very fascinating, but I understand not everyone is interested.
With that in mind, if you're trying to optimize the performance of your balanced interconnects, then the best thing you can do is ensure that the line impedance seen on pins 2 and 3 is near identical as possible, which means using high tolerances for the copper and guage of wire being used. It also doesn't hurt to use twisted pair wire surrounding by a braided shield, which will reduce the amount of potential noise picked up and thus reduce the amount of common mode rejection required by the line. I would like to note, however, that this is way way over-engineering the solution. There is no advantage to increasing the signal-to-noise ratio of the electronics when the noise floor of the playback environment is many orders of magnitude larger.
-Mike Bentz
~It's all about compromise~
"Crown, Active, and Horns"