Harmonics are all about damping a string at a position where a harmonic node occurs. Harmonic nodes are at positions where the string is divided into equal parts.
Damp it at half the string's length you get harmonic that's twice the string's fundamental frequency. By a twist of physics that's always 12 frets in postion above the undamped position. It also sounds an octave above the undamped position.
A third of the string's length is treble the fundamental frequency, which is an octave + a perfect fifth. You'll find this 7 or 19 frets above the undamped position.
A quarter of the string's length results in a harmonic 4 x the undamped frequency (two octaves). That's 5 or 24 frets above the undamped position.
The undamped position can be an open or a fretted note.
Here's some more....
Harmonic postions