M.Gilberto said:
Physics does indeed state that a longer string length will increase the string tension. Since changing the scale length of your instrument isn't something you can do easily [!], I'd like to suggest the ALTERNATE, and perhaps more obvious physics-inspired solution: FATTER STRING.
Most people play wimpy little 125-135 low Bs on their contrabasses.
Actually, 125-135 works just fine for most folks, including myself, as also indicated by what exists in the vast majority of the most popular 5 string sets.
I have played a 145... This is not rocket science. A thicker string increases tension.
True, but in the case of a bass string, the above is oversimplification by omission of some very significant things which make huge differences in the physical model.
Bass strings are not solid wire, so it's a much more complicated physical model... they're a actually a complex system of a varying number of windings of various sizes and materials of wire over a solid core, which can also vary in size, material, and also shape, all of which being subject to varying construction processes, all of which are independent of the overall string size, and all of which making huge diffs in tension and how they feel to us.
Don't get me wrong, if the 145's work best for you, that's totally cool, but I find that even on a 35" scale bass, anything bigger than a 135 tends to have overtones that are way too strong for my tastes. Less definition, clarity, and focus... a clouded fundamental... especially past the 5th fret... and personally, I like to use my B all the way up to at least the 12th fret.
I think the answer can't be made any simpler than to say it lies in a BALANCED combination of instrument materials, design, construction, setup, scale length, string size, AND string construction.
To take any one of these things and single it out as the one primary thing that will define a "tight B" I think is far too oversimplified.
For example, you could take a .200 off a knucklehead bass and tune it to a B on a crappy bass, and it'll still sound like crap. Take a "wimpy little" .125, put it on a Roscoe, and you'll need new underwear after the first pluck.
All this IMHO, of course.
