🎵 声音与音乐

Wave Equation1D string and 2D membrane wave PDEs solved via finite differences. Pluck the string or tap… Fourier SeriesAnimated epicycles build up any waveform from harmonics. Add up to 8 sine components, hear… Chladni Figures20 000 sand particles settle at vibration nodes of a plate driven at resonance frequency.… Wave InterferenceInteractive wave interference and superposition simulation. Place wave sources and watch… String Physics — Vibrating String & HarmonicsSimulate a vibrating string with the 1D wave equation. Pluck or excite harmonics from… Coupled Oscillators — Normal Modes and BeatingNewTwo masses on springs explore symmetric and antisymmetric normal modes and beating patterns… Standing Waves in PipesChange pipe length and pick an open or closed end to see which harmonics fit, where nodes… Acoustic LensNewSolve the 2D wave PDE on a grid where the lens region has a different sound speed. Watch… Musical ScalesNewPick a root note and scale type, drag the octave slider, and click any key to hear it.… Acoustic Guitar PhysicsNewAdjust string tension, length and linear density to hear pitch change. Play harmonic modes… Beat FrequencyNewTwo close frequencies interfere to produce audible beats. Adjust the frequency difference… EcholocationNewEmit a chirp pulse and watch its echo bounce off obstacles you place and resize. Adjust… Voice SynthesisNewPick a vowel preset and fine-tune formants F1-F3, tract length and pitch F0. Switch voiced… Acoustic ImpedanceNewChoose two media and watch a sound wave split at the boundary. Adjust frequency and… Spectral Music — Overtones & Timbre SynthesisNewCompose with the harmonic series: add partials at integer multiples of a fundamental, shape… Shepard Tone — The Infinite Glissando IllusionNewA Shepard tone stacks octave-spaced sinusoids under a Gaussian spectral envelope that shifts… Auditory Scene AnalysisNewBregman's ASA: auditory streaming segregates concurrent sounds into streams. Frequency… Sound Wave PropagationSend a sound wave through a medium and watch it reflect and absorb at boundaries. Adjust… Acoustic LevitationNewA standing ultrasonic wave between an emitter and reflector traps small particles at its… Acoustic MetamaterialsNewArrays of subwavelength Helmholtz resonators give a material an effective negative bulk… Equal Temperament vs Just IntonationNewCompare the 12-tone equal-tempered scale (2^(1/12) per semitone) against pure… Helmholtz ResonatorNewBlow across a bottle neck and hear a pure tone: the air plug in the neck acts as a mass, the… Noise Colors — White, Pink & BrownNewWhite noise has equal power at every frequency, pink noise falls off as 1/f (equal energy… Reed Instrument ResonanceNewA clarinet reed is a pressure-controlled valve that self-sustains oscillation by feeding…