gen-briefly-explain-equal-temperament-tuning-and-one-common-misc-29e8

Briefly explain equal temperament tuning and one common misconception about it.

# Equal Temperament Tuning **Equal temperament** is a tuning system that divides the octave into 12 equal semitones, with each semitone separated by the same frequency ratio (approximately 1.05946, or the 12th root of 2). This means every half-step interval is identical in size, regardless of which note you start from. ## Common Misconception **"Equal temperament produces perfectly in-tune intervals"** Many people assume equal temperament creates "pure" or "perfect" intervals, but actually the opposite is true. Except for the octave, *all intervals in equal temperament are slightly out of tune* compared to their pure acoustic ratios. For example: - A pure perfect fifth has a 3:2 frequency ratio - An equal-tempered fifth is about 2 cents (1/50th of a semitone) flat The system is a **compromise** that makes all keys equally usable and allows unrestricted modulation between keys, but at the cost of acoustic purity. This trade-off is why equal temperament became the standard for most Western music—it prioritizes flexibility and consistency over perfect consonance.