2022
DOI: 10.3390/electronics11091405
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Acoustic Descriptors for Characterization of Musical Timbre Using the Fast Fourier Transform

Abstract: The quantitative assessment of the musical timbre in an audio record is still an open-ended issue. Evaluating the musical timbre allows not only to establish precise musical parameters but also the recognition, classification of musical instruments, and assessment of the musical quality of a sound record. In this paper, we present a minimum set of dimensionless descriptors, motivated by musical acoustics, using the spectra obtained by the Fast Fourier Transform (FFT), which allows describing the timbre of wood… Show more

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Cited by 6 publications
(9 citation statements)
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“…Analyzing the frequency response is a common practice when studying the behavior of a musical instrument [ 13 , 23 , 24 , 25 ], comparing different models or the differences between performers.…”
Section: Methodsmentioning
confidence: 99%
“…Analyzing the frequency response is a common practice when studying the behavior of a musical instrument [ 13 , 23 , 24 , 25 ], comparing different models or the differences between performers.…”
Section: Methodsmentioning
confidence: 99%
“…Recent studies show that even deep learning models can achieve better recognition accuracy if meaningful features are extracted. Among feature extraction techniques, FFT has proven highly effective [ 70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 79 , 80 ], including on the DEAP [ 48 ]. In this study, FFT was chosen to extract features from DEAP EEG signals.…”
Section: Methodsmentioning
confidence: 99%
“…For each recording, the FFT is obtained with normalized amplitudes, using the SciPy library module in Python [11]. Timbral coefficients are calculated from the FFTs, which are dimensionless, univocal, and independent descriptors of the FFTs [6,8]. These six timbral coefficients, together with the fundamental frequency (f 0 ) provide, for each audio record, a seven-dimensional vector that defines a point in an abstract space, which also is a geometric space.…”
Section: Methodsmentioning
confidence: 99%
“…For a specific musical instrument, the relative measure of the amplitude of the fundamental frequency with respect to the set of amplitudes of the FFT (Affinity Coefficient A) and the average variation of the envelope of the pulses in the FFT (Monotonicity coefficient M) are associated to the musical octave [8], the difference in the composition of harmonics (Spectral Signature) and the average value of the harmonicity of the partial frequencies (Harmonicity coefficient H) allow to identify the musical instrument [6]. For a given musical instrument and a specific musical sound, the relative measure of the amplitude of the fundamental frequencies (Sharpness coefficient S, note that this is not Zwicker's psychoacoustic sharpness) and the average of the deviation of the amplitudes of the partial frequencies with respect to the amplitude of the fundamental (MA Coefficient) report dynamics [8]. However, different musical sounds played by different instruments can be perceived as timbrically similar, and therefore should be close in timbral space [7].…”
Section: Methodsmentioning
confidence: 99%