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String tension adjustment question... http://www.luthiersforum.com/forum/viewtopic.php?f=10101&t=48527 |
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Author: | meddlingfool [ Sat Nov 12, 2016 5:25 pm ] |
Post subject: | String tension adjustment question... |
Greetings, I've been tasked to build a Baritone. Customer wants 28.5" scale. I've found the tension of the brand of strings he wants to use tuned b-b to be is 167lbs at 27" scale. Is there a way to determine what an increase to 28.5" will do to the combined tension? tia... |
Author: | Trevor Gore [ Sat Nov 12, 2016 7:01 pm ] |
Post subject: | Re: String tension adjustment question... |
Design page 1-51. Tension at pitch is proportional to string length squared. |
Author: | DennisK [ Sat Nov 12, 2016 7:25 pm ] |
Post subject: | Re: String tension adjustment question... |
The D'Addario string tension chart has a formula for tension in pounds with length in inches. tension = (2 * frequency * length)^2 * unit weight of string / 386.4 We want to multiply the length by 28.5/27 (which I'll call C) and see what happens to the tension as a result. Since these are all multiplicative operations, and (2*F*L*C)^2 is equivalent to (2*F*L)^2 * C^2, then we can just multiply both sides of the original equation by C^2 and voila. New tension is 167 * (28.5/27)^2, or 186lbs. |
Author: | meddlingfool [ Sat Nov 12, 2016 11:18 pm ] |
Post subject: | Re: String tension adjustment question... |
Thanks folks! |
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