|Exocyclic Trumpet in B flat
"Neural Intervals And Barium Infused Automatons" (2014)
|Inverted Equilibrium Sonic Pendulum
Composition for Cello, Chamber Ensemble, Inverted Equilibrium Sonic Pendulum, Exocyclic Trumpet in B flat, Schilke b3l Tunable Beryllium Bell Trumpet, Elliot Easton SG Custom OHSC Electric Guitar, Zildjian 22″ C2 Gong / Cymbal, LP Galaxy Giovanni Tumbadora, Retrosium Flute and ROLI Seaboard Grand.
From the performance notes/depiction of the Inverted Equilibrium Sonic Pendulum and the Cello:
We have executed a control method for maintaining an inverted pendulum in the unstable equilibrium position. This application is a classic lesson in control science, frequently utilized in ballistic guidance. In the case of the Cello, the proportional-integral-derivative (PID) method was implemented in LabWindows and intendulum with test mass. Once optimal parameters for the algorithm were established, trials were conducted in which individual gain constants were varied while controlling string and bow pressure to observe changes in instrument behavior.
When applying bow pressure, vector fields can have several special points: a stable point, called a sink, that attracts in all directions (forcing the concentrations to be at a certain value), an unstable point, either a source or a saddle point which repels (forcing the concentrations to change away from a certain value), and a limit cycle, a closed trajectory towards which several trajectories spiral towards (making the concentrations oscillate).
Repostulate in a alternative tablature system; topological models of morphogenesis.