I've always loved the way that string harmonics sound. However, I've been unable to really do anything entirely with harmonics because you can't play a full octave using only harmonics. I decided to figure out how many strings I would need to play an octave and I came to the conclusion that three was the smallest number, and the three should be tuned in a first-fourth-fifth fashion. In my example, on the guitar, I tuned my top strings to E-A-B. This lets you play an E major scale, but 2 octaves up from the low string.
I decided to go ahead and try to play a song on these harmonics, so I settled on Minuet in G by Bach (although it is no longer in G because I had to transpose it to E).
I'm considering trying to figure out a tuning where I can do 2 octaves, and I think I may only need 5 strings, but I'm not sure.
It's also worth mentioning that this octave is in just tuning, a tuning system that makes the frequencies of notes in the octave whole number ratios times the tonic frequency.