What this calculator compares
# What string tension tells you about a guitar setup
String tension is the pulling force needed to hold a string at a chosen pitch. It is not the same thing as gauge alone: a thicker string usually weighs more, but pitch and vibrating length also change the force. A longer scale needs more tension to reach the same note, while a lower tuning needs less.The useful comparison is the tension profile across the whole set. If one string is much looser than its neighbours, bends and pick response can feel inconsistent. If one is much firmer, the same fret pressure may feel tiring or make that string harder to bend. The spread shown here helps you notice those differences before buying a new set.# The physical model behind the estimate
A vibrating string follows the relationship between frequency, vibrating length and linear mass density. Solving the wave equation for tension gives the model used here:Here T is tension in newtons, L is the vibrating length in metres, f is frequency in hertz and μ is mass per unit length in kilograms per metre. The calculator estimates μ from the circular cross section and a steel density model. It then converts the newton result to kilograms force and pounds force.T = 4 × L² × f² × μ
# Why the same gauge feels different on different guitars
A 10 to 46 set is a family of diameters, not a fixed feel. Moving it from a 24.75 inch scale to a 25.5 inch scale increases every reading because length is squared in the model. Lowering the tuning reduces tension because frequency is also squared. Those two effects can reinforce each other when a long scale is tuned low or counteract each other when a short scale is tuned high.Use the spread before the headline total
The total pull is useful for comparing complete setups, but the lightest to heaviest spread is usually more revealing for playability. Look for a string that changes status when you switch tuning or scale, then compare that single reading with the strings around it.# Why manufacturer specifications still matter
The model treats each string as if its mass were distributed through one uniform cylinder. Real wound guitar strings use a core and one or more wraps; coatings and construction alter their unit weight. That is why the result is best used as an offline comparison lab, while the exact product table from the maker remains the reference for an installation.# A practical way to compare a new set
- Set the scale length from the instrument specification or measure nut to bridge and back from the twelfth fret.
- Choose the tuning you actually use, including Drop D or a whole step down.
- Start with the gauge family closest to your current set, then edit only the strings you plan to change.
- Check the individual readings and spread, then verify the exact string maker data before installation.