There is no map for artificial harmonics as the whole point is that you can play them anywhere!!
Also - forget about frets as they have no relation to these harmonics!
So what you are talking about is the speaking or effective length of string between where you are holding down the string with your left hand and the bridge.
Halve that distance and you get an octave up - halve the remaining distance again and you get another octave up etc. - as simple as as that!
