Advanced Harmonic Frequency Calculator

Calculator Inputs

Input mode

Fundamental frequency (Hz)

Fundamental period (s)

Wave speed (m/s)

Fundamental wavelength (m)

Highlighted harmonic

Start harmonic

End harmonic

Detuning (cents)

Phase step per harmonic (°)

Amplitude model

Decay factor

Decimal places

Include odd harmonics only

f₀ = 1 / T

When the fundamental period is known, the base frequency equals the reciprocal of the period.

f₀ = v / λ

When wave speed and wavelength are known, the base frequency equals speed divided by wavelength.

fₙ = n × f₀ × 2^(c / 1200)

The nth harmonic equals harmonic number multiplied by the base frequency, with optional detuning in cents.

Tₙ = 1 / fₙ and λₙ = v / fₙ

Each row also derives the harmonic period and wavelength. Amplitude can remain flat or decay by inverse, inverse-square, or exponential rules.

Choose whether you want to begin with frequency, period, or wave speed and wavelength.
Enter the harmonic range you want to inspect and select a highlighted harmonic.
Set optional detuning, phase step, amplitude model, and decimal precision.
Enable the odd-harmonics filter when you want only odd multiples displayed.
Click the calculate button to show summary cards, a chart, and the full harmonic table.
Use the CSV and PDF buttons to export the generated results.

Sample case: fundamental frequency 110 Hz and wave speed 330 m/s.

Harmonic	Ratio	Frequency (Hz)	Period (s)	Wavelength (m)