Doug Powdrell wrote: "Typically, D strings do not appear to vibrate with same intensity as others, using Martin style bridge with pins not parallel to saddle.. Sound is fine. "
Well, there's a good clue that maybe there's nothing wrong.
"Could it be improved if all strings vibrate consistently??? Logic says yes...."
'Improved' how? If the sound is fine now, even and so on, then making one string 'more effective' that the others would tend to make it less even, I'd think.
"Working to modify bridges so that each string exerts equal torque on saddle....i.e. variable string slots...??? "
I know a lot of folks don't think so, but the main force of the string to produce sound comes from the up-and-down motion of the string relative to the top. The bridge can rock, but the tension change signal is typically about 1/7th as strong as the transverse (up-and-down or side-to-side)signal, and since the top is built to resist allowing the bridge to torque forward, it's the transverse force that provides most of the power to the top. I can say this with a _lot_ of confidence, since I've made the measurements. You can get all the gory details on my web site, on the 'Acoustics' page, as a .pdf file.
This is not to say that the torque of the bridge makes no contribution to the sound, but from what I can tell (I'm still working on that particular experiment) the height of the strings off the top is the most important variable there. That's close enough to 'the same' on most guitars so that small changes won't have much effect, IMO. Break angle by itself seems to have only a very small effect, if any.
The really important things in the way the transverse force works are the string tension and the 'characteristic impedance' of the string. The latter is basically a measure of how hard the string can push on the top. Back in the old days (Leopold Mozart) they used to think that you wanted all of the strings to have the same tension. It turns out that if you do that, they will have different impedances, and will tend to sound a little uneven. Modern string sets vary a bit in tension from string to string and have impedances that are nearly matched, as far as I can tell. In other words, they compromise a little so that things like the 'feel' that depend on tension are not too uneven, and neither is the sound. What that might do is give you strings that 'sound' and 'feel' more or less the same, but vibrate with slightly different amplitudes.
There are some other things that could be getting into the act as well. For example, the top vibrates in response to string forces, and that, in turn, shakes the strings. It's possible that the D string gets less of this than other strings: maybe the top isn't moving as much at that frequency, or it's not moving in that place.
There's also the question of how you're measuring the string motion. Strings can follow a pretty devious path, moving both vertically and horizontally, with any point on the string making some pretty weird gyrations sometimes. It could add up to a lot of energy in the string for not a lot of apparent motion in one or another plane.
At any rate, I go back to my observation that, so long as things sound OK, what are you worried about? It's nice, and even useful, to understand this stuff, and I've spent 'way too much time and energy doing just that. But, in the end, if it ain't broke...
|