Hardwood floors in basement music room?

I dislike any highly reflective surfaces in my music room. Stay with the carpet.

Thanks so much for all the great advice, I guess what I'm confused and concerned about is that I always hear how carpet over concrete is not good for sound and the best way to go is to build a wood riser and install your hardwood on top of that or install a wood subfloor first, but this room is already completely finished and if I build a riser or subfloor I would have to cut all my doors at the bottom and because of a bulkhead I would have ceiling height issues. I assumed from reading if I install hardwood it could and would improve the sound.If I do install hardwood floors because it's below grade (no-water issues)I still need to glue down some sort of vapor barrier or underlayment material and then I'm thinking I should glue the tongue & groove hardwood to that, just to keep everything tight and solid. Please give me any thoughts you may have on this and thank you.

I'm no expert, but I would think carpet over thick pad over concrete would be ideal. Adding wood, especially if it's raised, could introduce quite a bit of unwanted vibrations.

Never hardwood, carpet gets you a level playing field to get the other acoustics right. Go with a very heavy padding. Get a carpet with a 'cut pile', not a 'loop'.

I have a 17.5w x 26L x 9h dedicated basement room and my flooring is heavy carpet and pad over concrete. When I built the room I decided to use the 2x2 drop ceiling; I used a top quality ceiling tile. End result was that the room was too 'dead' overall. So, I removed approx. 30% of the ceiling tiles and inserted 2x2 cut-out plywood panels which I covered with nice speaker grill cloth. The grill cloth hides the unsightly floor joists, plumbing, and a/c duct work but allows the sound to pass right through. This was a major improvement. With this arrangement I don't think that I would want or need a hardwood or tile floor. Cheaper and easier than a new floor too. Another plus is that you can install the replacement ceiling tiles a few at a time and experiment with their positioning, effectively fine-tuning the live/dead balance of the room.