Finding downbeats with a relaxation oscillator.

A Network of Relaxation Oscillators that Finds Downbeats in Rhythms

A network of relaxation oscillators is used to find downbeats in rhythmical patterns. In this study, a novel model is described in detail. Its behavior is tested by exposing it to patterns having various levels of rhythmic complexity. We analyze the performance of the model and relate its success to previous work dealing with fast synchrony in coupled oscillators. 1 Downbeat Induction The term ...

Meter through Synchrony: Processing Rhythmical Patterns with Relaxation Oscillators

Even the least musical among us can tap our feet to the radio without much effort. In fact this happens remarkably quickly and effortlessly; after just a few seconds of hearing a new song, a sense of movement takes hold and what was before a series of disconnected sounds now seems whole. This kind of perceptual organization—called pulse in music theory—underpins our sense of music by providing ...

Stability Analysis of a Strongly Displacement Time-Delayed Duffing Oscillator Using Multiple Scales Homotopy Perturbation Method

In the present study, some perturbation methods are applied to Duffing equations having a displacement time-delayed variable to study the stability of such systems. Two approaches are considered to analyze Duffing oscillator having a strong delayed variable. The homotopy perturbation method is applied through the frequency analysis and nonlinear frequency is formulated as a function of all the ...

Machine Rhythm

The video discusses Machine Rhythm, a program which emulates human rhythm perception. Given a musical performance represented as a MIDI stream, the program determines the program’s rhythm that is, it decides the meter of the performance, the rhythmic value of each note, and the location of barlines. The basic orientation of the video is to demonstrate applications of the program; more theoretic...

Tracking Rhythms with a Relaxation Oscillator