Well your diatonic harmonies will always sound more rich and melodic. Phrygian mode is a diatonic 3rd up from the major scale. The parallel harmonies will have some dissonant intervals because the propteries of the major scale dont' always line up with a set.. say minor 3rd interval. Some intervals are minor, some are major. Look in the first post to see what intervals are major/minor/diminished then you will know what harmony to play at any given interval.

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