Looking for new speakers


I'm looking to upgrade my Thiel CS3.6s -- I never thought I'd say this, but I think they are not good enough for the rest of my system. 

Within the last two years, I've upgraded my amplification to a Luxman L-509x integrated amp, and upgraded my turntable to a Luxman 171a. Overall my system sounds pretty good --- MUCH better than before the upgrade. However, there are some recordings on which there is definite distortion, particularly especially well-mastered 45s. For example, Diana Krall's Look of Love has so much distortion it's almost unlistenable. Even in the 33s, I can now hear a low-level distortion.

My theory is that when the Thiels were manufactured, the electronics were not quite as good as they are now, and definitely the recordings were not mastered as expertly, so these weaknesses did not show up. They were great speakers in their day, but, alas, I think maybe that day has passed, at least in my system.

I'm looking for something in the $10K - $15K range. Not sure if there's anything in that range that would be enough of an improvement, but I'd love some suggestions. It's been many years since I've looked at speakers, so I'm not really up on what's available at that price point.
theo714
The distortion I'm talking about is not egregious -- it doesn't immediately jump out at you, the way it might it there were serious issues with a driver or something -- in fact, close listening (with ear up to speaker) reveals that there are no drivers that are standing out as worse than others. It took me months of listening to realize that this was happening (it shows up most clearly in the Diana Krall record). In the beginning, of course, all I could hear was how much better it sounded than my old system. But over time, the sound difference from the previous system fades from memory, and you start hearing the flaws ... this seems to be the process! And one of the flaws I'm hearing is that there's just a STRAIN ... that might be a better word than distortion, though at root that's what it is .. especially in the instrumentals behind the lead voice, or the lead instrument (anywhere there's a large amount of sound coming through, as opposed to a single voice). Once you hear it, you can't unhear it!

I think maybe I should have just said I'm looking into the possibility of new speakers, and not mentioned distortion!

I appreciate all the comments and suggestions, and I will definitely check into some of the speakers mentioned.
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P.S. For those who suggested speaker cables -- I am going to try upgraded cables just to make sure they are not the problem. They are all that remains of my previous system -- Purist Audio Aqueous from early 90s! Not bad but .... who knows.
Isolate the problem before you start buying stuff.  Troubleshooting to isolate which component has the problem is easy if you use logic and deliberate methodology.   It would be a shame if you bought new speakers and the problem is still there. Right? 
I actually am leaning towards the source (turntable, tonearm or cartridge) being the problem.  Just because the dealer set it up does not eliminate it as being the problem.