Ribbon tweeters: Do they create a ringing sound??

I just purchased a pair of Acoustic Zen Adagios. Exceptional sounding speaker,but I have heard a ringing sound or artifact when playing CD's. I am aware that this could be a combination of room acoustics,electronics, and interconnect cables.The Adagios use a "round ribbon" tweeter with Kapton memebrane. I have heard other speakers with "ribbon" tweeters, like Dali, Gallo, Piega--offering varying degrees of ringing. I would like to find a way to correct this problem. The electronics are Creek 5350SE Classic" integrated, a Rega Apollo CD player, the interconnect is a Audio Magic Spellcaster II(which tends toward brightness),Analysis Plus Oval 12 speaker cable which probably needs to be replaced by better wire. Nevertheless, the room may be the main culprit---it is 12X14 with one wall of windows, the opposite wall has a countertop opening into small kitchen area. The speakers are on the short axis wall which flairs out about 12inches on the left side to accomodate an air conditioner shaft and vent. The Adagio is a tranmission line design. The room is not ideal, and I am sitting only about 5 to 6 ft from the drivers. There is also some midrange bulge or inbalance which seems to make the speakers louder, less focused, and throw too large a soundstage. My previous speakers did almost the same thing. I intend to move the speakers across the room and position them on the long wall where they can be equidistant from the back wall. They are not light so I can't keep moving them around without injury. I have considered using some Sonex foam squares to dampen down the room..... All comments suggestions welcomed!!! Thanks Jim