Chrono G. Xay said:
That is not the case. You are isolating a smaller mass at roughly the same tension (owing to how the string is depressed slightly at the desired fret, resulting in--hopefully--the smallest of unavoidable bends) and allowing that smaller mass to vibrate instead- a length of string which has its own modes of vibration and fundamental frequency, and whose modes' frequencies follow the harmonic series. Then, that isolated lesser mass has its tension increased further by way of an excursion across the held fret, following a limit function for force/distance needed until the desired ratio of frequency change has been achieved, based upon past experiences with that string at that fret and/or surrounding frets/strings.
Playing 'natural' harmonics, on the other hand, by way of lightly resting the tip of one's finger on a point dividing the string's length by a simple fraction (such as 1/2L, 2/3L, 3/4L, etc.) and then plucking the string, isolates which modes are allowed to vibrate.