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Music & Acoustics

Equal Temperament vs Just

fₙ/f₀ = 2^(n/12)
Equal Temperament vs Just

Twelve-tone equal temperament divides the octave into a geometric ladder of ratio 2^(1/12) per semitone, gently detuning the pure small-integer ratios of just intonation (3/2, 4/3, 5/4) so every key sounds equally in tune.

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).