Equal Temperament Computation

Definition

Mathematical computation of musical pitch frequencies based on the 12th root of 2 geometric progression ($f=440\times 2^{(n-69)/12}$).

Key Characteristics

• Logarithmic mapping of frequency to pitch semitones.
• Equal 100-cent division of octaves.
• Standard basis for digital synthesizers and Web Audio API oscillators.

Applications

• Web Audio API synthesis
• Electronic instrument design

Mentions in Source

• “Mathematical derivation of 12-TET from the twelfth root of two.” — music-theory-for-programmers