T-PD-D-T phrases are a four-part structural framework used in music to describe how a musical idea develops through tension and resolution. Each part of the phrase corresponds to a different function: the T (tonic) establishes the home key, PD (pre-dominant) leads into the dominant area, D (dominant) creates tension, and T (tonic) resolves that tension back to the home key. This structure is essential for understanding how composers create coherence and progression in their works.