Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models
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Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models Tamara Smyth ([email protected]) Frederick Scott ([email protected]) d and Music Computing Conference (SMC), Thursday July 7 , 2011, Pado
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Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models . Tamara Smyth ( [email protected] ) Frederick Scott ([email protected]). 8 th Sound and Music Computing Conference (SMC), Thursday July 7 , 2011, Padova , Italy. Outline. Trombone instrument model - PowerPoint PPT Presentation
Transcript of Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models
Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models
Parametric Trombone Synthesis by Coupling Dynamic Lip Valve and Instrument Models Tamara Smyth ([email protected])Frederick Scott ([email protected])
8th Sound and Music Computing Conference (SMC), Thursday July 7 , 2011, Padova, ItalyOutlineTrombone instrument modelMeasuring bell reflection and transmissionGeneralized pressure-controlled valveMouthpieceSound examples
Trombone Instrument Model (no mouthpiece)
Reed PulseInstrument Signal++
F3nmp
B3nmp
D3nmp
F4nmpMeasurement System
microphonespeakerCylinder, closedCylinder, bell terminated2 meters7 cmModel of Measurement System
Speaker outputsignal at exterior micsignal at interior mic
++Measured Impulse Responses (interior mic)
Obtaining the Reflection
Closed tube arrivals:Bell terminated tube arrivals:Take the ratio of second arrivals to obtain the bell reflection.
Measured Impulse Response (exterior mic)Alternate Representation(convolutional synthesis)ReedModel
Blowing pressure
There are advantages to showing it this way: (list conv synth advantages), and then if you dont know individual waveguide elements, you can use a single filter for round-trip losses.9Lumping Round-Trip Loss in Transfer FunctionDenote round-trip losses from the mouthpiece to the bell and back again as
The model transfer functions may be written as
Generalized Pressure-Controlled Valve
Swinging (vocal systems, lip reeds)Blown closed (woodwind)Blown open (vocal systems, lip reed)Generalized Pressure-Controlled Valve(trombone configuration)
Parameters:QuantityVariableValueRadius of exhaust8 mmEquilibrium pos.0.01 mmValve mass.3 gValve width*2.3 mmValve length*23.2 mmValve thickness*6 mmValve stiffness*
Nu = displacement shape, exponentEta = displacement ratio12
Valve Area Functions
Mouthpiece
Enclosed volumeConstriction
Acoustic compliance
InertanceDissipative element
F3Bb3Mouthpiece Model
QuantityVariableValueVolume5 X 10-6 m3Choke length48 cmChoke radius4.5 mm
Valve Area Functions (with Mouthpiece)
