3. Eventide TimeFactor
This isn't a delay pedal, it's a spaceship. The Eventide TimeFactor redefined the digital delay pedal, and offered studio quality digital delay algorithms for your pedal board.
It's a delay pedal for somebody who is really serious about their delay, somebody who can't live without delay, for the kind of person for whom a guitar, delay pedal and an amp are the trinity of objects needed for songwriting.
You don't have to have a math degree to use the Eventide TimeFactor, but it would probably help. Are 11 knobs enough for you?
Of those 11 knobs, only one is used for the function of moving between presets, so that leaves 10 for tweaking parameters, offering an incredible level of control over your delay algorithms.
It really is a masterpiece of a pedal which, in turn, allows you to create sonic masterpieces.