Today I found I really wanted a C harmonic to end a tune nicely.
So we have E, B, G, D, A notes at 12th/5th fret.
Then we get G#, C#, F#, B, D# at 4th/10th fret (I just remember them as the major 3rds of the open strings, plus an octave).
Then somewhere slightly in front of the 3rd fret, we have some nice 5ths of the open strings. But this doesn't seem to give us any new notes that we couldn't already get at the 7th fret.
That just leaves us with C and F natural, is there any way to get a natural harmonic of those notes, even if it's a squealing high octave one, or is it theoretically impossible? I'm interested in the harmonics of open strings in standard tuning, not artificial harmonics.