If you are using BiaB, there is a special feature working behind the scenes to deal with the issue of doubling parts. It actually makes completely different parts, it doesn't try to just change one slightly from the other. This is for Realtracks.
If you out 2 or more of the identical Realtracks on separate tracks, BiaB will automatically generate different parts for each of them, so that there is no time in the arrangement that it would be playing the same thing - because if it did, it would sound like one player instead of two.
There is no setting needed for this, it just works, as long as you are generating them all at once by pressing the play button. We call this feature same-but-different.
Fwiw, in our tests, attempting to generate different parts by just offsetting the timing of an audio track, or panning doesn't work, and it often sounds worse. That's why we made the same-but-different feature, so that you actually hear 2 different parts play at all times.
This is really handy for the rhythm tracks. Use this on the acoustic guitars for example, in the background of the song. I simply set up 2 tracks and record my Taylor guitar 2 times playing the same thing. RB will also duplicate this quite easily and well.
I would not advise using this on a lead part for the attempted purpose of doubling the track since it does NOT play the same thing twice...... HOWEVER..... I use this unique function quite often on lead parts, not to double, but to choose segments from each part to create one awesome solo. Listen to the piano and the guitar solo in this song.
The Best Christmas There are 3 piano parts rendered from the same piano in real band and there are 5...yes 5...count them.... 5 guitar tracks rendered from the same real band track and in Sonar, I used envelopes to allow the parts I wanted to play. The result is fills and a solo that sound like they are one simply amazing part/solo. Some of the piano fills, while very short, are in fact coming from 2 different tracks controlled by volume envelopes.
AS PeterG points out... the worst way to attempt doubling is the lazy man's way.... simply copying a track and delaying it or detuning it.... this method causes some serious phase issues as the frequency of the notes played a few milliseconds apart mix in the DAW. You get comb-filtering and that doesn't sound good. I've done it, we've all done it, it's just not the best or recommended way to do this.