Peter,
I had a listening room with just this sort of configuration once, and the electrical power seemed quite good. The trade-offs you're making are:
1. Each of your lines has multiple breaks in the electrical cable along the way as the cable is cut and terminated into the various "daisy-chained" receptacles. Each of these connection points is an opportunity for poor electrical conductivity and the introduction of noise into your lines. (A partial remedy is to go to each receptacle, pull it, clean the contacts/wire, treat the connection with a contact enhancer (recommend SST), and reconnect.)
2. You don't have an isolated ground in the circuit, which can be an advantage in further reducing some noise. An isolated ground is a fourth wire in the cable (green insulation covering, in the US) that runs from the gounding lug of the receptacle all the way back to the grounding plane at the panel and is not common to other grounding wires (typically uninsulated copper wire) along the way. (I think this part of the puzzle is referred to as "isolated ground" and is different than and in addition to "dedicated circuit.")
Good luck.