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Published byDesmond Norcott Modified about 1 year ago

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Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models Tamara Smyth Frederick Scott 8 th Sound and Music Computing Conference (SMC), Thursday July 7, 2011, Padova, Italy

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

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

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

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

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Measured Impulse Responses (interior mic)

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

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Measured Impulse Response (exterior mic)

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

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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

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

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Generalized Pressure-Controlled Valve (trombone configuration) Parameters : QuantityVariableValue Radius of exhaust8 mm Equilibrium pos.0.01 mm Valve mass.3 g Valve width*2.3 mm Valve length*23.2 mm Valve thickness*6 mm Valve stiffness*

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Valve Area Functions

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Mouthpiece Enclosed volume Constriction Acoustic compliance InertanceDissipative element F3 Bb3

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Mouthpiece Model QuantityVariableValue Volume5 X m 3 Choke length48 cm Choke radius4.5 mm

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Valve Area Functions (with Mouthpiece)

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