parametric trombone synthesis by coupling dynamic lip valve and instrument models
DESCRIPTION
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 PresentationTRANSCRIPT
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)