An interactive view of the harmonic series, where frequency ratios become visible and audible.

FFF LAB · EXPLORE · ACOUSTICS

Each orbit is one harmonic; their ratios define the timbre of the same fundamental tone.

FFF LAB · EXPLORE · ACOUSTICS

Turn harmonics on and hear how whole-number ratios shape timbre.

Harmonic Galaxy How does the harmonic series sound?

C3 · 130,8 Hz 12 harmonikov

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Fundamental toneC3 Višji harmoniki so celoštevilčni večkratniki osnovne frekvence: f, 2f, 3f, 4f … Number of harmonics12 Spectrum / timbreNaravni 1/n

NaravniMehakKlarinetSvetel

Orbital speed100% Vizualna hitrost je upočasnjena glede na slišane frekvence, razmerja 1:2:3:4… pa ostanejo enaka. 3D spread70% Light trail65% Volume55%

Matematični model fₙ = n · f₀ | x(t) = Σ aₙ sin(2π n f₀ t) Vsaka orbita predstavlja en harmonik. Njena hitrost je sorazmerna zaporedni številki harmonika, njena svetlost in glasnost pa amplitudi aₙ. Ko se spremeni spekter, ostanejo frekvence iste, spremeni pa se barva zvoka.

What am I observing?

The harmonic series uses f, 2f, 3f and so on. Changing amplitudes keeps pitch stable while changing the spectrum and timbre.