Web Audio FFT Spectrum

Harmonic & Phase Analyzer

Theory & Acoustic Principles

Fast Fourier Transform (FFT): Decomposes continuous time-domain waveforms into discrete harmonic frequency bins:

X[k] = Σ (x[n] · e^(-j 2π k n / N)), n=0..N-1

1. Nyquist Limit: Maximum resolvable frequency is f_nyquist = f_sample / 2 (~22.05 kHz for standard 44.1 kHz audio contexts).

2. Spectral Centroid: Indicates perceptual "brightness" as the amplitude-weighted mean frequency: C = Σ(f_k · A_k) / Σ A_k.

3. Modes: Spectrum Bars, Oscilloscope Waveform, Radial Polar Bloom, and Spectrogram Waterfall.

Controls: Choose microphone, synth arpeggio, or upload custom audio. Adjust FFT parameters in real time.

Load Custom Audio File (.mp3, .wav):

FFT Size (bins: 128..2048)

Smoothing Time Constant (0.0..0.99)

Min Decibels (dB)

Max Decibels (dB)

Visual Gain Multiplier (scale)

Peak Frequency: 0 Hz

Estimated Pitch: --

RMS Amplitude: -∞ dB

Spectral Centroid: 0 Hz

Sample Rate: 44,100 Hz

Live Audio Engine