I haven't spent the time and am not good enough to distinguish differences in music between two amps, but what I do notice are the immediate differences like soundstage, clarity, and affects to the audio spectrum (lows, mids, and highs). I did have the ls50s, even used them for home theater, but was curious about "upgraded" to a larger speaker, so the kef R series seemed the closest to the ls50s, so I bought R500, R200c, etc. I have used a parasound a52, outlaw 7125, and nad m27. I didn't notice a difference between the a52 and outlaw, but I did notice a change going to the m27. The difference may have been going to a Class A/B amp to a Class D, but a review from hometheaterreview claimed that the a51 sounds very close to the m27 but a little weightier. The outlaw and a52 for sure seemed weightier, but the NAD m27 distinguished itself because it seemed to have a more pure sound and soundstage, but for me, the vocals just popped with the nad. I do for sure think the NAD made the difference with the mid-high frequencies, although I am using movies as my source, I haven't compared the two amps using music. As I mentioned, I was hoping that I could keep the outlaw ($1000) and save a great deal of money, but the NAD just made the small difference that was big to me.
One reserve that I had is that I use a pre/pro with room correction, so I thought that a change with the calibration would obviate any amp change I could make i.e. the room correction would alter or correct the sound so much that an amp change wouldn't make a difference since room correction can be so volatile, however, I did room correction a few times with each amp and the differences remained each time. I do think the the ls50s and R500s have such low distortion that an amp makes a difference. My rule-of-thumb has been to only upgrade when a change is readily apparent, as opposed to searching for those differences, and the amp change met that criterion.
Let me know if you need more descriptions and info.
*fyi, I've also had the emotiva xmc-1, and I think it had a similar effect as the NAD m27--clarity, soundstage, etc
*marantz av7702mkii, Nad m27, R500, R200c, 800ds, e301 (height).