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Old December 24th, 2004, 07:19 PM   #49 (permalink)
tdowns
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Join Date: Nov 2003
Location: Wylie, TX US
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Well it looks like me and vihar did the calculation at the same time, and he is right on with the tension.

Key E
0.009 - 13.1lbs
0.013 - 27.4lbs

D#
0.009 - 11.7lbs
0.013 - 24.4lbs

The frequency of a vibrating string is

So rearranging to solve for tension yields:

T= 4f^2ml

So it has a squared frequency relationship. To double the tension, the frequency must quadruple.

I wrote an article on custom string gauge design a while back. It has an Excel spreadsheet for doing the calculations if you are interested in solving for your own needs.

Custom String Calculations
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