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#1
09-27-2013, 07:22 PM
 Registered User Join Date: Jul 2011
calculate the tension if detuned

Can someone calculate the tension of 45-100 d'addario XL nickels (long scale) strings if they were detuned to DGCF (1 full step down).

In E standard:
E- 34.72
A- 40.05
D- 48.35
G- 42.52

Thanks!
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#2
09-27-2013, 07:29 PM
 Registered User Join Date: Jun 2008 Location: Close to Los Angeles, CA
At what scale? And why?
#3
09-27-2013, 07:42 PM
 Registered User Join Date: May 2011
You can look up the detuned tension in the tables at the D'addario website:

That page explains how to use the tables and there's a link near the top of the page

All their strings are listed with tensions for various tunings.

The calculation is relatively simple, though. First find the frequency ratio between the standard tuning tension,
and the detuned tension. The frequency ratio is approx 1.059 for each half step. So for a whole step, the ratio
is 1.059 x 1.059 which equals 1.121

The tension is related to the frequency squared; so square that value to get the tension ratio - 1.121 x 1.121 equals 1.257

Now just divide each standard tension by 1.257

...

Last edited by megafiddle : 09-27-2013 at 07:52 PM.
#4
09-27-2013, 10:10 PM
 FenderBender Join Date: Aug 2011 Location: suburban Chicago
Here is what I get. I don't know why my spreadsheet does not return the same results as the D'Addario chart and I don't have time to check it out now but the results should be close.

0.100 E-1 36.24
0.080 A-1 41.70
0.065 D-2 50.94
0.045 G-2 42.50

0.100 D-1 28.76
0.080 G-1 33.10
0.065 C-2 40.44
0.045 F-2 33.72
#5
09-29-2013, 05:18 PM
 Registered User Join Date: May 2009
If you're taking the original tension figures off the web site instead of the old pdf download; D'Addario has refigured their individual string tension specs.

The mathematical formula, however, is the same. Tension varies as the square of the pitch. So the detuned tension will equal (lower pitch in Hz)^2/(higher pitch in Hz)^2 * current tension.
#6
09-29-2013, 06:02 PM
 Registered User Owner; Knuckle Guitar Works & Circle K Strings Join Date: Jul 2002 Location: Seattle
You'll lose about 9 pounds tension per string.
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#7
09-29-2013, 09:15 PM
 FenderBender Join Date: Aug 2011 Location: suburban Chicago
Yeah, my spreadsheet uses the unit weight numbers from the pdf. If they changed the weights then the numbers will change but of course if they didn't measure them right the first time we can't be sure they are right the second time either....
#8
09-30-2013, 07:16 AM
 Registered User Join Date: May 2009
They're working on that.
#9
10-01-2013, 02:43 AM
 Registered User Join Date: Jan 2005 Location: UK
^ What megafiddle said.

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