In a way that surpasses ordinary limits; extraordinarily or exceptionally. The artist's work was transcendentally beautiful, leaving the audience in awe.
In a manner relating to the spiritual or non-physical realm. The meditation session was designed to help participants connect transcendentally with their inner selves.
In mathematics, with respect to transcendental numbers, functions, or extensions; in a manner involving quantities not algebraic over a given field. The numbers e and π are transcendentally independent over the rationals.