ANTI-CARTESIAN GESTURES ANTI-CARTESIAN GESTURES ANTI-CARTESIAN GESTURES
The fourth study on duality explores possibilities of poetic gestures of non-cartesian geometric representations. The first outcomes of this research are two scores based on two different diagrams, the Penrose diagram and the Smith chart. The Penrose diagram is a two-dimensional space-time diagram that captures geometrical causal structures through a conformal treatment of infinity, and the Smith chart is a graphical calculator or nomogram designed for solving mathematical problems with transmission lines and matching circuits. Both scores have a written component, which articulates the relation with the graphical aspect of the scores in order to perform the piece, a piece that can be thought of as a listening strategy or tactic.
The first score is Rest Your Gaze, a piece that is realized at the moment the gaze rests on the magenta dot on the score. The blue grid represents space-time, our universe, and the red grid represents time-space, what is beyond an event horizon. The magenta dot in the middle of the blue grid represents the spatial and temporal locality of anybody who might look at the score, and it is the place where the score suggests resting your gaze.
Breathe is a two-part Anti-cartesian gesture and score, graphically based on the smith chart, to be ideally performed after performing Rest Your Gaze. Each possible dot inside the charts represent a combination between a degree of resistance to a tension and a degree of resonance with a vibration. The dots and lines drawn on both charts are a suggestion on where to rest your gaze, not an instruction, and through the realization of the score performers might imagine and choose different points to rest their gaze.
