Trigger and Pitch Sequencer for Euclidean Rhythms (2015)
Date Published

ABSTRACT
As a mode of interaction, this paper introduces a sequencer interface and visualizer for pitched euclidean rhythms. Inspired by Chicago footwork producers like DJ Rashad and Godfried Toussaint’s 2005 paper, “The Euclidean Algorithm Generates Traditional Musical Rhythms”, this program presents an interface for sequencing rhythms generated using the Bjorklund algorithm. Along with the timing algorithm, the interface includes a pitch sequencer and stereo-phase scope visualization. Intended for live performance environments, the euclidean sequencer enables users to improvise and create satisfying rhythms that explore the subtleties in discrete compositional approaches informed by visual and aural feedback.
Keywords
Euclidean Rhythms, MIDI Controllers, SuperCollider, Interactive, Visualization, Stereo-Phase Scope, Oscillographics, Bjorklund Algorithm, Footwork, Pointillism
1. INTRODUCTION
The Bjorklund algorithm is a technique to order timed pulses.A number of existing interfaces employ this algorithm for both hardware and software. On the hardware front, Mutable Instrument’s Grids and Yarns modules [2] and Rebel Technology’s Stoicheia module [7] make use of euclidean sequencing for the eurorack format. With these modules, pattern sequences are controlled by a knob that updates instantaneously. This becomes problematic when performing with the tool because error-prone transitions can be clearly heard.
The concept behind the trigger sequencer is simple; allow the user to set a sequence using only two numbers, namely the sequence length and the fill amount, and then only trigger the pattern to update when desired while maintaing quantization. The newest iteration of the software also includes a pitch sequencer, tempo control, and stereo-phase scope visualization, which exploits the synthesis techniques behind each voice. The digital instrument can be used in either studio or live performance environments with an output that is reliable and captivating.
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