Free PDF Musimathics The Mathematical Foundations of Music (MIT Press) (Volume 2)
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Volume 2 of Musimathics continues the story of music engineering begun in Volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short-time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com. Twelve-tone technique - Wikipedia The basis of the twelve-tone technique is the tone row an ordered arrangement of the twelve notes of the chromatic scale (the twelve equal tempered pitch classes) Shruti (music) - Wikipedia Bharata Muni uses shruti to mean the interval between two notes such that the difference between them is perceptible He formulates jatis which are classes of
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