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Music & Acoustics

Harmonic Series

Aₙ = 1/n at fₙ = n·f₀
Harmonic Series

A vibrating string or air column sounds every integer multiple of its fundamental at once, with the partial amplitudes falling off as 1/n — the recipe that gives each instrument its timbre.

Computed & rendered in pure C# on the frozen OnlyCSharp 1.8 library — animation baked to GIF with the library's own Gif encoder (no GPU, no ffmpeg, no external packages).