๐ธ String Tension Calculator
The preset buttons are the frequencies for standard tuning (E2, A2, D3, G3, B3, E4).
Enter a string's linear mass density (mass per unit length), scale length, and target pitch frequency to calculate the tension on the string, derived from the physics of a vibrating string's fundamental frequency (f = v/2L, v = โ(T/ฮผ)). Handy as a reference when choosing guitar or bass strings.
How to use
- Enter the string's linear mass density (g/m). This is often listed in the string manufacturer's spec sheet as "unit weight".
- Enter the scale length (mm).
- Enter the target pitch frequency (Hz), or pick one of the preset buttons.
- The tension on the string is calculated automatically.
FAQ
Where can I find the linear mass density (g/m)?
String manufacturers often publish this as "unit weight" in their product specifications. If you don't have it, you can approximate it from the string's material and diameter using cylinder volume ร material density.
What's the formula?
A string's fundamental frequency follows f = v/(2L), where wave speed v = โ(T/ฮผ) (ฮผ is linear mass density, L is scale length, T is tension). Rearranging gives T = ฮผร(2Lf)ยฒ, which is what this tool calculates.
Does the result match the actual tension of real strings?
If the mass density, scale length, and frequency you enter are accurate, the theoretical tension should closely match reality. Real strings can differ slightly from published values due to core/winding construction and other manufacturing factors.