Balanced cables

gdnrbob,
No, my equipment is NOT fully balanced.
The amplifier does make use of the balanced signal (and can be switched to reduce the 6dB gain if desired I believe with resistors)
But it too is a not balanced through and through design.
The Bryston preamp uses the standard op amp to create a negative leg in the 'balanced' output.
So do my ARC SP-15, and my DAC which has 'balanced outputs.
So nothing I own is a true balanced design.

And I see nothing which would make such designs a requirement for better sound. Better market snobbery sure, but when it comes to better sound, true balanced mainly seem to belong to the marketing gimmicks... even though it might make for a good sounding product.
Though for cost no object state of the art, spending twice as much to build the same end result might be OK.

true balanced mainly seem to belong to the marketing gimmicks...

@elizabeth ,
I disagree. From what Ralph/atmasphere has written, it is clear that a true balanced circuit-while not saying it sounds better, provides the means to transfer a signal with far less chance of being affected by noise or being affected by cable design.
I think this is why you are hearing differences between different cables. 

spending twice as much to build the same end result might be OK.

But, you ended up spending a lot of money buying cables.

And I see nothing which would make such designs a requirement for
better sound.

Again, I disagree. Designs like fully balanced, zero feedback and OTL, definitely do make a positive difference.
Though I have no doubt that you have an excellent stereo system, and a sensitive ear, I only wish we could compare our two systems. I think it would be enlightening for both of us.
Bob

Is it true that the XLR cables carry both an inverted and non-inverted signal, and that the inverted signal is re-inverted and additive, resulting in the 6 dB gain and good for long runs?  Any externally induced noise in the wires is then out of phase (because of the last inversion) and self canceling - also good for long runs.  I thought those were the technical reasons for XLR.  How does the grounding scheme affect from a technical and musical standpoint?

Wlutke, that’s sort of correct, but I would put it somewhat differently. In a good design an XLR cable will be provided with inverted and non-inverted signals, as you indicated, and those signals will be received a differential receiver circuit which responds to the instantaneous **difference** between the voltages of the two signals. Since the two signal wires in a properly designed XLR cable are twisted together, and the circuits they are connected to cause (or at least should cause) them to have equal impedances relative to ground, induced noise will be essentially identical in the two runs, and therefore there will be little or no difference between them, in terms of noise, for the differential receiver circuit to respond to.

In many designs it is also the case that the amplitude of each of the two signals in a balanced interconnection has the same amplitude as the single signal in an unbalanced RCA interconnection. In such a case the instantaneous difference in the amplitude received by a differential receiver circuit via an XLR connection will be twice the amplitude that would be received from a single-ended signal, resulting in the 6 dB difference in overall system gain that you referred to (assuming everything else is equal, including the setting of the volume control).

There are some lesser designs, however, which provide XLR connectors simply as a convenience feature, and provide that connector with just a single-ended signal and a ground. Also, in cases where a differential pair of signals is provided and received, the quality of the differential driver and receiver circuits may be less than optimal in some cases, and an RCA connection might provide superior results in those cases.

Regarding the grounding scheme, as indicated in the Rane application note which Atmasphere referred to in one of his posts dated 3-1-2018, ideally the shield of an XLR cable should be connected via pin 1 of the connector at each end to the chassis of the connected component. However for whatever reason many designs connect the shield via pin 1 to signal/circuit ground instead, which depending on other aspects of the design can result in some fraction of the signal current being conducted via the shield, in turn increasing sensitivity to cable differences as Ralph explained.

Regards,
-- Al

Thanks Al,
It really helps (me at least) to have all that info in one coherent explanation.