Just an attempt to clarify.
I'M GOING TO SETTLE THE ARGUMENT
Here's why the longer NON speaking string length it said to make it have a tighter feel:
If I have more string behind the nut, then I have more string to stretch right? Because I'm sure everyone here agrees that the string tension is the same on BOTH sides of the nut (unless the nut grabs or is a locking nut).
I agree.
So, with more string to stretch, the tuner applies greater force on the string.
Nope.
Tuned is tuned. If the string's construction requires it to be at 65lbs of tension to ring at A 440 (Numbers are for examples sake), Its going to be 65 lbs of tension period, unless the nut grabs.
Although the string is not used behind the nut, IT STILL HAS TO BE STRETCHED. Therefore, because the tuner is tighter
Tighter? As in the torque to hold the string, or the torque to move the key? Its going to have to be greater than 65 lbs of torque to hold the string in tune, yes. But 65 lbs is 65 lbs.
due to the EXTRA MASS, when you pluck the string, it does not slip over the nut more.
If the string is slipping over the nut, it's going to be sawing down the nut slot. I admit that it's going to move across the nut, but the majority of its motion will be perpendicular (in a circle)to the string, not parallel with it.
^^^That's the theory
HOWEVER, as Brian stated, more string means more play, even at higher tension.
If you compare three B strings, One that is a heavy gauge, one that is a medium gauge and one that is a light gauge, you will likely find that the heavy gauge one is less floppy. This is because it's increased mass (more wraps, greater core diameter) will require higher tension (Usually) to attain the same pitch. The play will go down with the medium gauge, but then likely increase (a SLIGHT amount) in the light gauge, as it will require less tension to hit the low note, and will have greater circular movement. Depending on the string, it could be a big difference
Thus, when you pluck the string it can move more. BTW even though the tuner is tighter, it's APPLYING the same amount of tension (because if it weren't the note would be higher, the extra tightness is to offset the additional mass). Thus, the tuner is "locked." So now the tuner is locked but the string gives.
Not quite, see above
Therefore, the string has no advantages or disadvantages when lengthened in the non speaking area.
Emphasis mine
EDIT: im sure someone here will say "but the tuner wouldn't slip anyways." it's not a question of slipping. its a question of force vs. tension
tension = mass x force
when you increase the NON speaking string length, you increase mass, and thus you have to increase force to keep the same tension.
less NON speaking string length means less mass and force
yet more mass means greater play which is offset by that extra force, therefore there is not difference between the two
This underlined portion is a bit misleading. In order to tune a string, You must increase tension. wind that peg and get it to tune, and it does not matter how much length there is between the nut and the tuner. You are pulling the entire string tighter. This is when the string goes through its greatest travel over the nut. The string requires XX lbs of tension to some to tune. This tension does not change at the string breaks over the nut (or at the bridge) it is uniform over the entire length of the string. Make the non speaking length a foot or an inch, it's still going to be xx pounds total.
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