The Mudcat Café TM
Thread #49771   Message #752879
Posted By: JohnInKansas
23-Jul-02 - 03:42 AM
Thread Name: Guitar string tension v gauge
Subject: RE: Guitar string tension v gague
The frequency is directly proportional to the tension, and inversely proportional to the weight.

The ratio in frequency going from C to E (4 semitones) is 1.05946^4 (1.05946 x 1.05946 x 1.05946 x 1.05946 = 1.2599), so for a given string, tuning from C up to E requires a tension at E 1.26 times whatever the tension was at C

Working backwards - tuning down, if you know the tension for the heavier string tuned to E, you can divide by 1.26 to get the tension for the same string at C.

Dividing by 1.26 is the same as multiplying by 0.7937, so you can estimate that the string tuned to C has about 80% of whatever tension it would take to tune the same string to E.