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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

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

outline
Outline
  • Trombone instrument model
  • Measuring bell reflection and transmission
  • Generalized pressure-controlled valve
  • Mouthpiece
  • Sound examples
trombone instrument model no mouthpiece
Trombone Instrument Model (no mouthpiece)

Instrument Signal

Reed Pulse

F3nmp

B3nmp

+

D3nmp

F4nmp

+

measurement system
Measurement System

speaker

microphone

Cylinder, closed

Cylinder, bell terminated

2 meters

7 cm

model of measurement system
Model of Measurement System

signal at exterior mic

Speaker output

+

signal at interior mic

+

obtaining the reflection
Obtaining the Reflection

Closed tube arrivals:

Bell terminated tube arrivals:

Take the ratio of second arrivals to obtain the bell reflection.

lumping round trip loss in transfer function
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

generalized pressure controlled valve
Generalized Pressure-Controlled Valve

Swinging (vocal systems, lip reeds)

Blown closed (woodwind)

Blown open (vocal systems, lip reed)

mouthpiece
Mouthpiece

Constriction

F3

Enclosed volume

Bb3

Inertance

Dissipative element

Acoustic compliance