Which subs to consider with my setup?

I have an Onkyo tx-nr 818 receiver and vienna acoustics Bach grand speakers rated at 35-20000 hz. My room is 22.5 ft by 22 ft with 12 ft ceilings.

We do music and movies pretty equally but want to optimize for music listening and appreciate quality sound reproduction.

Could you make some recommendations of which subs to consider that have phase control switches built in?

We were starting to look at svs, Velodyne, and REL brands but could use some guidance to narrow the search
Hsu research. Musical powerful affordable.
I like Vandersteen subs, but they're not as small as some people would like.
Your room is a decent size, so I would suggest a pair of subs. Make them sealed to satisfy your music over movie preference.

Looks like your AV receiver has a pair of subwoofer outputs, so you're set. If your receiver has room mode correction then there's no need to buy that in a sub.

A 12" driver in the sub(s) should be sufficient and high pass your main speakers in the A/V receiver. SVS has a couple of good sealed models and if you can handle the size, HSU has a nice 15" driver sealed sub.

How much can you spend for a sub or subs? Your room is pretty large so you will need a pretty large and powerful sub with at least a 13 inch woofer to really charge that room.

I recently added an SVS SB13 Plus(95% same as SB13 Ultra) to my existing Revel B15 in my 6000+ cubic feet room and now I can honestly say my room is pressurized. If budget permits, dual SVS SB13 Ultras would be perfect in your room, IMO. A single SVS PB13 Ultra would work also.

I can afford up to $1500 but would prefer to stay sub $1k if possible and get what I need. Hope that helps...

Which HSU model(s) would you consider?
The Hsu ULS-15, of which I own a pair, is about the same size and weight as the SVS SB13-Ultra, but with a 15" driver and about $500 less.

SVS has a much smaller sub for 1/2 the price of the SB13, so a pair would just tip over your budget. But, even a pair might not be enough for your room.

I'd go with a single Hsu ULS-15 for now and you may decide to add a second one in the future.