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II Acoustic Reality II.4 (F Sept 19) FM, Wavelets, and Physical Modeling

II Acoustic Reality II.4 (F Sept 19) FM, Wavelets, and Physical Modeling. Sound anatomy. Classical Joseph Fourier (partials/overtones) ~ 1800 Frequency Modulation (FM) John Chowning ~ 1970 Wavelets (Jean Morlet et al.) ~ 1984

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II Acoustic Reality II.4 (F Sept 19) FM, Wavelets, and Physical Modeling

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  1. II Acoustic Reality II.4 (F Sept 19) FM, Wavelets, and Physical Modeling

  2. Sound anatomy Classical Joseph Fourier (partials/overtones) ~ 1800 Frequency Modulation (FM) John Chowning ~ 1970 Wavelets (Jean Morlet et al.) ~ 1984 Physical Modeling (Claude Cadoz et al.) ~ 1989

  3. Yamaha DX7 modulator carrier John Chowning Sound anatomy w(t) = Ac + A1 sin(2.ft+Ph1) + A2 sin(2.2ft+Ph2) + A3 sin(2.3ft+Ph3) +... W(t) = Ac + A1 sin(2.ft+Ph1 +A2 sin(2.2ft+Ph2+ A3 sin(2.3ft+Ph3))) carrier modulator modulator

  4. Sound anatomy Classical Joseph Fourier (partials/overtones) ~ 1800 Frequency Modulation (FM) John Chowning ~ 1970 Wavelets (Jean Morlet et al.) ~ 1984 Physical Modeling (Claude Cadoz et al.) ~ 1989

  5. Sound anatomy different wavelet types

  6. Sound anatomy g((t-b)/a) g(t) = C.exp(-t2/2).cos(wt) ga,b(t) = g((t-b)/a)

  7. Sound anatomy sound function a,b parameter selection

  8. Sound anatomy a b octaves a musical example

  9. Sound anatomy Classical Joseph Fourier (partials/overtones) ~ 1800 Frequency Modulation (FM) John Chowning ~ 1970 Wavelets (Jean Morlet et al.) ~ 1984 Physical Modeling (Claude Cadoz et al.) ~ 1989

  10. Sound anatomy There are three basic types of physical modeling: Mass-Spring: Classical systems of point masses that are connected by springs, e.g. Chordis AnimaInstitute ACROE Grenoble, ICMC 1994. Modal Synthesis: Modeling of different sinusoidal components that are experimentally determined, e.g. Modalys~Mosaic at IRCAM. Waveguide: Propagation of waves in a medium, such as air or string, e.g. at Stanford’s CCRMA (Center for Computer Research in Music and Acoustics), commercial on YAMAHA’s VL-1

  11. Singer Synthesis: Perry Cook Sound anatomy http://www.cs.princeton.edu/%7eprc/SingingSynth.html

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