edify, way, path
迪 centers on guiding someone along a proper course: showing the way, leading forward, or edifying through instruction. The path sense is the literal road, while edify is the figurative act of leading someone morally or intellectually.
迪 combines 辶 (movement, road) with 由, which likely contributes the sound and the idea of following or proceeding from a point. Together they suggest advancing along a path or guiding forward.
The movement radical 辶 wraps around 由, like a road leading out from a starting point. Picture a guide showing the way forward from 由 along the path 辶.
For テキ, imagine a teacher using a long pointing stick to guide students along the right path: the stick makes a 'teki' sound as it taps the board, and that sound cues テキ while the teacher edifies.