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Pattern for Natural Harmonics

I know what harmonics are, I know how to get them. I know natural harmonics and artificial harmonics. What I want to know is if there is some pattern for getting natural harmonics, right now it just seems like they're spread randomly around the fretboard.
 
Divide the string length in half and get the first harmonic (octave). Divide the string by three and get the second harmonic (octave and fifth). Divide it four and get the third harmonic (two octaves). The pattern is 1/X divisions of the string gives you gives you the X-1 harmonic. Once you learn the harmonic sequence you'll be able to find them all.
 
divide the string into 2. there's a harmonic there.
divide the string into 3. there's a harmonic there.
divide the string into 4... and so and and so forth.
roughly speaking, harmonics work because you're hitting the string at a certain fractional place and cancel out all of the harmonics that resonate with a wavelength that doesn't line up with the fraction of the string you're using.
 
'tis easy...

Fractions.

1/1 = open string - Fundamental
1/2 = at the 12th fret (for fretted instruments) - Octave
1/3 - Octave + Perfect Fifth
1/4 - two Octaves
1/5 - two Octaves + Major Third
1/6 - two Octaves + Perfect Fifth
1/7 - two Octaves + Minor Seventh
1/8 - three Octaves
1/9 - three Octaves + Major Second
1/10 - three Octaves + Major Third
1/11 - three Octaves + Augmented Fourth
1/12 - three Octaves + Perfect Fifth
1/13 - three Octaves + Major Sixth
1/14 - three Octaves + Minor Seventh

on and on...

The Fundamental through the 14th harmonic (fundamental being the 1st), gives you a Dominant 13 +11 chord.

Ex.: Using the Open G-String, the harmonics ascend (see above list):

G, G, D, G, B, D, F, G, A, B, C#, D, E, F

All the notes found in a G13(+11).