I just started listening to my CD player again

One word: Shunyata. can't go wrong.

Pangea gets overlooked because of the low price. The AC-14 is good for CD players. It's also shielded, so that would be better that a non-shielded one in theory, especially if there is noise around for it to pick up. They seem to sell fast here if you don't like it. Link. [http://www.audioadvisor.com/prodinfo.asp?number=PGAC14]

I don't know if you own a power conditioner, but if you don't, I would consider purchasing the Audience AR1p. There's one up for sale now at $300+. (no, it's not mine). This may well make a bigger difference than a new power cord, depending on the quality of your existing power. In any case, if you don't like it you can sell it at a minimal or no loss. BTW, You can plug a Wiremold strip into it and have a conditioner for the rest of your system that sounds much better than most, IMO. Good luck.

Shunyada .

Give Pangea SE cord a try. If it won't match with the Gamut, post it up here and it'll be gone in less than 100 views; that's less than a day.
I love the Pangea cords, but I agree that the Shunyata' house-sound would better match with your Gamut. Q is, can you be happy with a $2-300 Shunyata Taipan?
The top line is significantly improves from the Taipan but they'd cost equally as your Gamut CD-1. This hobby sucks, ain't it?