Analysis and Synthesis of Musical Transitions Using the Discrete Short-Time Fourier Transform
To date, the discrete short-time Fourier transform (DSTFT) and similar analysis techniques have generally been used to analyze only individual notes. Problems (and their solution) in using the DSTFT for analyzing transitions between -'rformed notes are discussed. Recordings of transitions performed on the trumpet, clarinet, and violin were analyzed with the DSTFT. Based on the responses from 10 musically sophisticated subjects, the DSTFT was shown to be adequate for modeling transitions. To create line-segment approximations for the original DSTFT data, various semiautomatic methods were developed or adapted from the literature on pattern recognition and approximation theory. In a second experiment with the same subjects, line-segment approximations were shown to model musical transitions adequately.
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