While I don't have a Copperband housed with a Pyramid, I can say that with the differences in the shape of the body between the two fish, they should do just fine. I have a Copperband, Lemon and a Burgess all together in the same tank and they hang out like they're best friends. I'm hoping to add a Bluestripe (if I can find one) and a Pearlscale or Pakistan in the future, I just hope that move wont throw off the harmony that exists right now. -Steve