Music & Acoustics
Fourier Synthesis (Sawtooth)
f(x) = (2/π) Σₙ (−1)ⁿ⁺¹ sin(nx)/n
A sawtooth wave assembling itself from pure sines: each harmonic enters with amplitude 1/n and alternating sign, sharpening the ramp and its vertical drop one partial at a time.
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).