Multidimensional sound spatialization by means of chaotic dynamical systems

This work presents a general framework method for cre-ating spatialization systems focused on electroacoustic andacousmatic music performance and creation. Although weused the logistic equation as orbit generator, any dynami-cal system could be suitable. The main idea lies on generating vectors of Rn with entriesfrom data series of di_x000B_erent orbits from an speci_x000C_c dynami-cal system. Such vectors will be called system vectors. Ourproposal is to create ordered paths between those pointsor system vectors using the Splines Quark library by Felix,1which allow us to generate smooth curves joining the points.Finally, interpolating that result with a _x000C_xed sample value,we are able to obtain speci_x000C_c and independent multidimen-sional panning trajectories for each speaker array and forany number of sound sources.Our contribution is intended to be at the very root of the compositionalprocess giving to the creator a method for exploring new ways for spatialsound placement over time for a wide range of speakers ar-rangements. The advantage of using controlled chaotic dy-namical systems like the logistic equation, lies on the factthat the composer can freely and consciously choose be-tween stable or irregular behaviour for the orbits that willgenerate his/her panning trajectories. Besides, with the useof isometries, it is possible to generate di_x000B_erent related or-bits with one single evaluation of the system. The use ofthe spline method in SuperCollider allows the possibilityof joining and relating those values from orbits into a wellde_x000C_ned and coherent general system. Further research willinclude controlling synthesis parameters in the same waywe created panning trajectories