You should be able to isolate into two groups any leads which have continuity with one another. The starting circuit is likely to isolate to two leads, the running circuit may have two or more leads that show continuity. If the running circuit has more than two leads, you will need to determine how those leads are to be used for voltage or speed changes.
The colors or numbers themselves are often a clue, but they alone may not provide sufficient information. There is always the trial and error method, but I do not recommend that because of the potential for destructive results. Instead, the Motor Doctors suggestion is to equip yourself with an ohmeter (don nott settle for just a continuity tester) and learn to perform a few simple tests with it.
The PWM Drive (pulse-width modulated drive) to motor power conductors are typically the most intense noise source in a system. Proper implementation of shielding, grounding, splicing, and treatment of excess cable is essential to reducing noise in your system.
Magnetically soft materials, however, tend to be more expensive. The motor manufacturer must find that proper blend of just enough magnetically soft material to do the work required without putting too big a dent in the customer wallet.