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
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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. 
High output from the main instrument or vocal. Hmmm still sounds like distortion from the turntable setup to me.  45RPM audiophile especially. Hmm more dynamics, bigger demand on the turntable cartridge, tracking, tonearm etc.   Do you have your turntable perfectly balanced?  It the tracking force too light?  Anti-skate done properly?   Turntables are not like installing a refrigerator or hanging a picture frame.    They are the most critical component in a system.   I must have owned at least 200 different components in my life. And the BIGGEST improvement I ever made was going from a Dual 1229 to a SOTA Sapphire. Not even speakers as different as Klipsch vs ProAc (or dozens of others) ever made such a sonic difference.   Micrometers, protractors, balancing measurements, magnifying lenses, etc, and a couple of hours time to setup a turntable placed where you are going to use it (not just at a dealer and then brought home) is what it takes to get it right.    That is, sure a dealer can do the rudimentary setup, but the finer aspects of the setup must be done where the turntable is going to reside.