I'd rate the hotel as a sold three to three-and-a-half by modern western european business hotel standards. Although not slap bang in the centre near the river, it's an easy flat stroll to everywhere you'd need to go in Basel.
The staff were friendly and helpful (we were able to check-in early and were given a high floor - although the tower itself is 32 storeys, the hotel's accommodation stops at 14).
The room itself was a little disappointing. Whilst not small, the carperts were worn and threadbare in places, the fairly old television was pretty small, there's no iron in the room, the airconditioning seemed not to respond to adjustments and noise from the corridor wasn't held back by the door.
The bed was that typical Germanic style, we'd booked a double room, but it is actually two separate mattresses with two single duvets. One very light pillow each, so we took advantage of the 'pillow menu' to order additional and firmer pillows.
In the bathroom, which others have described pretty well, the wooden counter was marked, chipped/pitted and no sign of a robe or slippers, but the speaker with sound from the TV was working.
All in all, modern hotel with good staff but not quite making the 4-star standard in my opinion.
And if you're coming from Basel airport, take the 50 bus to the SBB (Swiss) railway station (15-20 minutes) and then tram 2 from stop 3 for 5 stops (you'll see the hotel by then). The journies are free if you can show your hotel reservation if an inspector asks.