FunkMetalBass said:Other way around. A lighter string will be more flexible and thus have a larger vibrational amplitude at the fundamental frequency. As such, the harmonic overtones will be quieter with respect to the fundamental.
Sorry, but you have it backwards. A lighter string will be less stiff, and therefore free to vibrate at shorter divisions of its overall length, which gives it more "zing", thanks to the extra upper harmonics. It will also have better intonation, since it acts more like a theoretically perfect string at shorter lengths, and less like a rod or bar.
No guitar or bass string is perfect. Even extra lights have a stiff core, which is why they can spring back after you do a gentle string bend, but kink when you make a sharp bend to insert them into a tuning peg.
It's also why overly heavy B strings start to have more intonation problems, why strings of similar construction always sound darker (ie, more fundamental and less harmonics) as they get thicker, and why you get less zing up at the top frets. Remember, with an imperfect string, shorter = stiffer, and thicker = stiffer, too.
Even differences with winding materials (ie flat va roundwound, hex vs round core wire, etc.) can affect harmonic content through stiffness, which is one of the reasons why floppy TI flats sound brighter than stiff Labellas. But that's a different subject...