MUSIC, not mathematics...listen to any 90's era hip hop..
music is
100% mathematics, especially when we're talking about the frequency spectrum
regarding 90s hip hop - welcome to hard drive, i think you'll love it here
from your original post, it sounded like you were just trying to make the bass louder by stacking it with the original. due to the phasing, that isn't gonna work, and furthermore, if you aren't going to snip the original sample's low end off before applying the filtered sample, the process is still nothing other than blunt force EQ.
in your last post you've begun to describe something different: the equivalent to running a sound through a band splitter and manipulating however many different frequency bands you're working with (in your case, 2 - "low" and "high").
you say that the original sample BECOMES the high - it's only going to become the high if you in turn filter out the low end that you're going to be replacing with your filtered/eqed sample. ie, both samples must be filtered, otherwise you're needlessly overlapping (and as such, might as well use a single sample with EQ to bump up the values where you're overlapping).
so ideally, 1111222233334444 becomes
11112222 and 33334444, and you can then manipulate them individually all you want
when played together, no phasing or issue would occur since there's no overlap. this would also allow you to manipulate each band separately.
however, this is still no different from coyping the sample and equalizing it differently. filters/eq are the same thing idea, eqs just have far more bands and aren't restricted to 3 types/1 cutoff point (as they are in the mpc)
eq by nature is going to be more precise than an mpc lowpass filter. appliying a 20hz rolloff, a slight bump at 5khz, or finding the sweet harmonic spots are all things you can't do with a blunt filter (no, not that kind of blunt filter)
from what you described in your last post i think you could get away with either filtering or eqing, but you are going to have to have 2 copies of the sample - either recorded w/ different eq (in effect separating it into bands) or simply resample the original twice, one with a high pass and the other with a low pass (also separating it into bands)
then you can chop each sample identically and create different programs for them, and then sequence them separately