Re: Can/how do pickups affect sustain?
A string does not, in fact, vibrate from side to side. Immediately after the first pluck, it is vibrating side-to-side in majority, but it quickly seeks equilibrium and starts to return to an oscillation that is equal on all axes. The string is technically out of tune until it establishes equilibrium. Fortunately it is hardly enough to notice unless you really bang on the string.
Also, a string with two fixed points will actually vibrate in two directions from the center point of the string's length; one is clockwise and the other is counter-clockwise. Along this length are nodes that do not move and antinodes which experience maximum displacement. If a pickyp were located under one of the nodes, little disturbance would be created by the pup. However, that wouldnt happen. One, the fretboard ends in the vicinity of the last node (approximately 1/3 of the lentgth of the string between the two points. Secondly, because we change the length of the string by placing our fingers on different frets the pup would have to constantly move in proportion to the strings length.
Density is the main factor in natural sustain. If you created an electric guitar out dense metal it would have the greatest sustain. Of course, it would have no character in terms of warmth or body. To counter this, the most dense woods are vital for sustain. Why not make every guitar out of the most dense wood? Tastes differ, some are not interested in eternal sustain, but prefer warm of even dark tones which require less dense woods.
As low low-fi said earlier, start with good wood. A pup will accentuate good wood, but doesnt do much for crap wood. There is a sort of exchange with gain and sustain when choosing pups. The higher output pups will enhibit distortion at earlier stages than lower outputs, but will also place a higher constant magnetic field on the strings which will not only have a tendency to pull the strings out of their concentric vibrations, but will cause them to return to rest quicker than those of less output. That, my friends is read as less sustain. Ever notice how some notes really stand out when you have your guitar wide open. That is because the nodes are in close proximity to the pups. Check yourself when you are doing pinch harmonics, some of those notes are right above the pups.
This is also why so many people love the 2nd and 4th position of the strat. Not only does it have hum-cancelling effects, but it also doubles the exposure of the sting to the pup.
Sorry to get so carried away, but I just get excited when I have the answers to some of the posts. Everyone knows that I am debt to the forum for the many dilemmas with which you have collectively offered assistance. With the rate at which I am learning music theory, performance techniques, and accoustic properties as they apply to physics, I am eager to share this knowledge with my fellow SD fans!