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- W2014702944 abstract "In order to create an ideal piano tuning that best matches the inharmonicities and spectra of each instrument, tuning frequencies are optimized using a new beat loudness perceptual model that considers the time dependence of the frequency and amplitude of individual partials. These optimized tunings are compared to prior inharmonicity-based methods of tuning calculation. First, several pianos are prepared to an initial tuning using traditional methods. The resulting tones are recorded and analyzed in MATLAB. Each partial's frequency and amplitude are estimated at discrete time intervals over the duration of the tones. Beat rates are derived for the consonant musical intervals by employing phase-based high resolution frequency estimation techniques on coincident partials. A beat loudness model is developed based on established perceptual theories of consonance and equal loudness contours. The total perceived beat loudness is then minimized by applying optimization and global search methods that alter the tuning of each note. The resulting tunings achieve more consonance than prior tuning methods. Comparisons show subtle frequency variations in the tuning curve that adapt to each piano's unique inharmonicity, amplitude, and decay rate of individual partials." @default.
- W2014702944 created "2016-06-24" @default.
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- W2014702944 date "2008-10-01" @default.
- W2014702944 modified "2023-09-26" @default.
- W2014702944 title "Optimization of piano tunings by minimizing perceived beat loudness." @default.
- W2014702944 doi "https://doi.org/10.1121/1.4782596" @default.
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