12-TET Equal Temperament

Tuning system dividing the octave into 12 logarithmically equal semitones, enabling free modulation.

Core Principles & Analysis

• Each semitone multiplies frequency by the twelfth root of two, approximately 1.0595.
• Zhu Zaiyu in China (1584) and Simon Stevin in Europe calculated its ratios independently.
• Slightly detunes every interval except the octave, trading purity for free modulation among all 12 keys.

Specifications & Metrics

• RATIO: 2^(1/12) per semitone