help: string physics dummies

[chapito]

What is the equation to find the string length for a specific pitch?
or (the pitch of any string length)

thanks

[zeytoun]

http://liutaiomottola.com/formulae/tension.htm

[kurt ratering]

fdeck compiled a spread sheet, post #9, in a thread titled "false nut" in the setup and repair forum. hope it helps...

[chapito]

great thanks guys!

[jtlownds]

There is more to pitch than just string length. It's a combination of string length, tension, string weight, etc. My King Moretone, with a 43.5" mensure played the same E, A, D, G as my Sunrise, with a 41" mensure.

[zeytoun]

No "etc". The first 3 in the list suffice.

[Andrew McGregor]

Ah, not quite... those are the big 3, but then there's more that make a small difference. Not that they matter for any practical purpose with upright, but a BGs bridge is never in the spot you'd calculate if it is intonated properly.

[fdeck]

Originally Posted by Andrew McGregor

Ah, not quite... those are the big 3, but then there's more that make a small difference. Not that they matter for any practical purpose with upright, but a BGs bridge is never in the spot you'd calculate if it is intonated properly.

Yes. Thanks for noting that. My spreadsheet is based solely on the formula involving the twelfth root of two, intended to help decide how much the finger spread would change upon reducing the string length.