I've just got a new set of strings, D'addario Half-Rounds. I've just discovered that the B is tapered at the ball end, like for a through-body stringing. There's about 2 inches of string before the outer winding starts. This means that, on my bass, which doesn't have through-body stringing, there's going to be about 1.5 inches of the string not covered by the final layer next to the bridge, which is also roughly where I play the strings. It didn't say anywhere, on the packet or on the website, that this B was tapered. What's this going to do to the sound? The life of the string? Should it be like this at all?