Musical Acoustics and Continued Fractions

Year: 2001 Authors: Richard Krantz; Jack Douthett

Core claim

Continued fraction convergents provide the natural method for selecting equal-tempered systems that best approximate target musical intervals.

Topics

equal temperament, just intervals, continued fractions, musical tuning

Domains

continued fractions, rational approximation, logarithms, music theory, musical acoustics, tuning systems

Methods

continued fraction expansion, interval approximation, scale construction

Media

musical scales, frequency ratios, non-standard tunings

Source status

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