There's no such thing as "opposite" frequencies, therefore no formula.
However, a few things to consider, in addition to the good advice already given above:
- Perhaps the closest thing to a formula for something related would be to look at the closest harmonic frequencies; i.e. those nearest frequencies that are neat multiples of the frequency in question. Sometimes, boosts or cuts (especially cuts) at some of the nearest harmonic or even sub harmonic frequencies can help with a problem timbre that just isn't reacting properly to direct EQ. Use this sparingly, it takes practice to learn when it works and when it doesn't.
- Use the old tried and true parametric sweep thang to find bad resonant frequencies in a track and cut those. That's probaby the fastest and most efective way of surgically removing mud from any track and in turn accentuating the "good" frequencies.
G.