Tangentially related to Jimmy's Steinway piano parable, (which was a fascinating post in itself) the string "afterlength" on upright basses, -this is the length of string behind the bridge leading to the tailpiece termination point- is mathematically 1/6 of the scale length. 7" for a 42" scale bass. This isn't a hard-n-fast number, it's definitely a tunable, customizable thing. Does it matter? You better believe it does. All kinds of weird resonances happen in that 7" and they're troublesome if it happens to clash (or be trying to cancel) a note within the 42" you're trying to play bass in.