How to use the string tension for a pitch calculator
Find the tension needed in a string to produce a given fundamental frequency. Enter vibrating length, linear density, fundamental frequency in the fields above; the tension for fundamental, tension are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “guitar string tension”, “string tuning tension”, “tension for frequency”, “calculate string tension for a pitch”, “find tension for fundamental”.
Formula
Variables
- L — Vibrating length (m)
- mu — Linear density (kg/m)
- f — Fundamental frequency (Hz)
Worked example
With vibrating length = 0.65 m, linear density = 0.0005 kg/m, fundamental frequency = 329.6 Hz, the calculator gives tension for fundamental ≈ 91.79756 N; tension ≈ 9.360746 kgf.
Frequently asked questions
What is the string tension for a pitch calculator used for?
Find the tension needed in a string to produce a given fundamental frequency. It helps with questions such as “guitar string tension”, “string tuning tension”, “tension for frequency”.
What is the formula for the string tension for a pitch calculation?
Tension for fundamental (N) = 4 × mu × L × L × f × f. Tension (kgf) = [Tension for fundamental] / GRAV. Here L is vibrating length (m), mu is linear density (kg/m), f is fundamental frequency (Hz).
What inputs do I need for the string tension for a pitch calculator?
You need vibrating length in m, linear density in kg/m, fundamental frequency in Hz. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the string tension for a pitch calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the string tension for a pitch result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.