Acoustic Mathematics

Acoustic Mechanics & Harmonic Mathematics

Calculate note frequencies, acoustic wavelengths in air, and understand the mathematical foundation of equal temperament tuning.

ƒ Pitch to Frequency Engine

Type a musical note in standard scientific pitch notation (e.g., A4, C3, F#5) to calculate exact frequency and wavelength.

Calculated Frequency
440.00 Hz
Wavelength (in Air @ 20°C)
0.78 m

Fundamental Formulae

Equal Temperament Tuning Formula

f(n) = 440 × 2^((n - 69) / 12)

Where n represents the MIDI note key index (A4 = 69), dividing each octave into 12 logarithmic semitones.

Acoustic Wavelength Equation

λ = v / f

Where v is the speed of sound in air (~343 m/s at room temperature) and f is frequency in Hertz.