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PostPosted: Sat Nov 12, 2016 5:25 pm 
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Brazilian Rosewood
Brazilian Rosewood

Joined: Wed Feb 20, 2008 7:15 pm
Posts: 7539
First name: Ed
Last Name: Bond
City: Nanaimo
Country: Canada
Focus: Build
Status: Professional
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...


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PostPosted: Sat Nov 12, 2016 7:01 pm 
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Koa
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Joined: Mon Sep 05, 2011 10:45 pm
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First name: Trevor
Last Name: Gore
City: Sydney
Country: Australia
Focus: Build
Status: Professional
Design page 1-51. Tension at pitch is proportional to string length squared.

_________________
Trevor Gore, Luthier. Australian hand made acoustic guitars, classical guitars; custom guitar design and build; guitar design instruction.

http://www.goreguitars.com.au


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PostPosted: Sat Nov 12, 2016 7:25 pm 
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Contributing Member
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Joined: Fri Jan 22, 2010 9:59 pm
Posts: 3620
First name: Dennis
Last Name: Kincheloe
City: Kansas City
State: MO
Country: USA
Focus: Build
Status: Amateur
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.


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PostPosted: Sat Nov 12, 2016 11:18 pm 
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Brazilian Rosewood
Brazilian Rosewood

Joined: Wed Feb 20, 2008 7:15 pm
Posts: 7539
First name: Ed
Last Name: Bond
City: Nanaimo
Country: Canada
Focus: Build
Status: Professional
Thanks folks!


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