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Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models

Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models . Tamara Smyth ( tamaras@cs.sfu.ca ) Frederick Scott (fss3@cs.sfu.ca). 8 th Sound and Music Computing Conference (SMC), Thursday July 7 , 2011, Padova , Italy. Outline. Trombone instrument model

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Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models

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  1. Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models Tamara Smyth (tamaras@cs.sfu.ca) Frederick Scott (fss3@cs.sfu.ca) 8th Sound and Music Computing Conference (SMC), Thursday July 7 , 2011, Padova, Italy

  2. Outline • Trombone instrument model • Measuring bell reflection and transmission • Generalized pressure-controlled valve • Mouthpiece • Sound examples

  3. Trombone Instrument Model (no mouthpiece) Instrument Signal Reed Pulse F3nmp B3nmp + D3nmp F4nmp +

  4. Measurement System speaker microphone Cylinder, closed Cylinder, bell terminated 2 meters 7 cm

  5. Model of Measurement System signal at exterior mic Speaker output + signal at interior mic +

  6. Measured Impulse Responses (interior mic)

  7. Obtaining the Reflection Closed tube arrivals: Bell terminated tube arrivals: Take the ratio of second arrivals to obtain the bell reflection.

  8. Measured Impulse Response (exterior mic)

  9. Alternate Representation(convolutional synthesis) Blowing pressure Reed Model

  10. Lumping Round-Trip Loss in Transfer Function Denote round-trip losses from the mouthpiece to the bell and back again as The model transfer functions may be written as

  11. Generalized Pressure-Controlled Valve Swinging (vocal systems, lip reeds) Blown closed (woodwind) Blown open (vocal systems, lip reed)

  12. Generalized Pressure-Controlled Valve(trombone configuration) Parameters:

  13. Valve Area Functions

  14. Mouthpiece Constriction F3 Enclosed volume Bb3 Inertance Dissipative element Acoustic compliance

  15. Mouthpiece Model

  16. Valve Area Functions (with Mouthpiece)

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