The thing that might not be clear from this article is that if you tune with Pythagorean Tuning, you'll run into cases where an Ab reached from one route is different than an Ab reached from another route. Since instruments like the piano need to have only one Ab in a particular octave, that is why they'll be tuned as equal temperament, or some other method that guarantees only one Ab for a particular octave.
Otherwise, you'll run into phenomena where an instrument will sound totally awesome if played in one key, but really awful if they try to play the same tune transposed to a different key.
This is also why those with sensitive ears are frustrated by their inability to make a guitar sound in tune for both G major and E major chords.
Otherwise, you'll run into phenomena where an instrument will sound totally awesome if played in one key, but really awful if they try to play the same tune transposed to a different key.
This is also why those with sensitive ears are frustrated by their inability to make a guitar sound in tune for both G major and E major chords.