Answer:
Songs that have basic functions, i.e. opening doors, changing time, calling for help
Zelda's Lullaby, Saria's Song, Epona's Song, Sun's Song, Song of Storms, Song of Time
Songs that teleport, i.e. to temples, on a specific warp stone in front of the temple
Minuet of Forest, Bolero of Fire, Serenade of Water, Nocturne of Shadow, Requim of Spirit (I
spelled Requim wrong, sorry) and the Prelude of Light.