Entropy-based Tuning of Musical Instruments

Abstract. The human sense of hearing perceives a combination of sounds `in tune’ if the corresponding harmonic spectra are correlated, meaning that the neuronal excitation pattern in the inner ear exhibits some kind of order. Based on this observation it is suggested that musical instruments such as pianos can be tuned by minimizing the Shannon entropy of suitably preprocessed Fourier spectra. This method reproduces not only the correct stretch curve but also similar pitch fluctuations as in the case of high-quality aural tuning.

Details

Haye Hinrichsen
Universitat Wurzburg
Fakultat fur Physik und Astronomie
D-97074 Wurzburg, Germany

Further Reading:
調音時是否用電子儀器會調得更準確?
調音時用的電子儀器有多準確?
電子拍子機 的 Check 音準功能 有多準確?
國際認可的鋼琴技術人員認可的調音方法是什麼?

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