Posted by: Togo
« on: March 08, 2006, 10:58:40 pm »Just thought I'd throw in my two-penny worth.
Modelling a physical synthesizer like the Modular Mg or the CS80 requires non-linear algebraic and non-linear ordinary differential equations (as well as their linear cousins for those linear moments in the dynamics). Arturia have done a brilliant job with those synths.
Modelling an accoustic instrument, particularly a wind instrument, is totally different. A dynamical model requires the solution of a mixture of non-linear algebraics and non-linear partial differential equations. These equations are multi-dimensional, catering for at least the three dimensions of the air flow plus the all important sound/pressure waves (which are non-linear of course). To do this in real time, with all the interfaces between the different parts of the instrument (the air inside the sax vibrating the body and those vibrations being correctly modelled) is the stuff of post-doc research and super computers. Arturia, with their tame French University team, must have cut massive corners to get a 'playable' instrument that responds as quickly as Brass reportedly does. They should be congratulated on producing a fantastic model -- but it will be light-years away from a real sonic copy of the physical instrument.
Modelling a physical synthesizer like the Modular Mg or the CS80 requires non-linear algebraic and non-linear ordinary differential equations (as well as their linear cousins for those linear moments in the dynamics). Arturia have done a brilliant job with those synths.
Modelling an accoustic instrument, particularly a wind instrument, is totally different. A dynamical model requires the solution of a mixture of non-linear algebraics and non-linear partial differential equations. These equations are multi-dimensional, catering for at least the three dimensions of the air flow plus the all important sound/pressure waves (which are non-linear of course). To do this in real time, with all the interfaces between the different parts of the instrument (the air inside the sax vibrating the body and those vibrations being correctly modelled) is the stuff of post-doc research and super computers. Arturia, with their tame French University team, must have cut massive corners to get a 'playable' instrument that responds as quickly as Brass reportedly does. They should be congratulated on producing a fantastic model -- but it will be light-years away from a real sonic copy of the physical instrument.