Tremolo Spring Calculator

// Methodology String tension is computed from the transverse wave equation T = (2·f·L)² · μ, where f is fundamental frequency (Hz), L is scale length (m), and μ is linear mass density (kg/m) derived from wire gauge and material (plain steel / nickel-wound). Breaking tension uses the UTS of high-carbon music wire (~2500 MPa plain, ~2200 MPa wound core) applied to the effective cross-sectional area: F_break = UTS × π·r². For wound strings, only the core diameter (≈60–62% of total) carries the load. Utilization = T / T_break × 100% — a green/yellow/red indicator of how close to failure each string is under current tuning and scale. The tremolo spring system must exert equal and opposite force to total string pull, adjusted for claw angle; extension follows Hooke's Law: x = F_total / (n·k·cosθ).