Speaker recommendation

I find a lot of people like Focal speakers for classical music.  Big soundstage, great dynamic performance (above average efficiency), good detail retrieval, but smooth.  At around your budget & room size I'd say at least an Aria 936 ($4K MSRP) or better yet : the 948 ($5K MSRP).

I'd make sure if you can to demo a pair of Arias.

Honestly a much better speaker than Tekton's.  The fit & finish on Tekton's is shockingly bad.  I've seen finish coming off and even surrounds starting to lift from drivers.  

Golden Ear build is nothing that much to get excited about either.  Nasty looking / feel plastic caps / footer.  I find them somewhat lumpy in the bass as well & though smooth, frankly a bit boring.  

@rvpiano For classical music enthusiasts, I would normally recommend many British brands, like Spendor, Harbeth, PMC, Proac, etc., and some others, e.g. Vienna Acoustics, Audio Note, some older (used) Sonus Faber models.  But at your price point, I can't think of a model that excels at strong low bass.  Hence the suggestion of the T3's.  T3's are in plentiful supply; several dealers regularly discount them, and they come up on sites often, some bought and never used (still sealed).  Unlike a good deal of other brands/models, I don't think it would be difficult to find a pair.

I’ve tentatively bought (with right of cancellation) the Focal Aria speakers new at a 30% discount under MSRP. (I couldn’t pass up the bargain.)  I have a week to change my mind.
The T3 is really over my budget, even at a discounted price.
 I am still investigating others though.

Aria 948 that is.

Off access they are OK.  But since I build my own components they will sound much different that what you can hear form them.  The music you selected is why I recommended Vandersteen.  Krall sounds amazing on the old model 5's I currently own.  They reproduce piano, bass, and drums very well, for big band music, you have a built in sub that provides the big band/classical experience with depth and dimension that you do not get without the sub, plus the time alignment can really benefit from the layering you get with the Vandy's.  Separation of instruments is a key benefit for this music.  Plus the better components you use in your system with be very noticeable with the Vandersteens.  Having the ability to dial in with the cross-over options and sub options helps in different rooms.  You also only technically require an amp to really drive the lower mid-range up with the build in sub.  Also, resale is also pretty good if/when you decide to make a change.

There are many very good speaker recommendations that others have already posted but my reasons for my suggestion is stated above.  Good luck in your search.

Happy Listening.