Скачать или смотреть Podcast: Real Multitasking...Resonance Constraints on Rhythmic Movement - Paul Treffner

AI-audio podcast of our work on bimanual coordination, brain asymmetry, and how mathematical laws of dynamical systems underlie rhythmic movement patterns in all biological and non-biological animate systems. When we move our limbs together they tend to lock into simple ratios of rhythms - coordination patterns or resonances such as 1:1 or 1:2. Sometimes more complex patterns are seen such as 2:3 or 3:4. Indeed, these resonances or "harmonies" underlie polyrhythmic drumming patterns and even musical chords. Where do they come from? You don't need a brain or nervous system to move in amazing, coordinated ways. Everything from horses, to heart cells beating as one, to planets moving in solar systems do it.

The basis is a mathematical structure called the Farey Tree (after John Farey, 1816):
Image of Farey tree: https://ibb.co/v4h5sVtP
Ratios are generated in a simple, principled way:
Between a/b and c/d is ratio (a+c)/(b+9)
Between 1/2 and 1/1 is ratio 2/3
And in fact between 0.5 and 1.0 is 0.66. It completely enumerates the real number line in this manner.

This creates a hierarchical structure with easy, STABLE ratios (rhythms or resonances) at the top (e.g., 1:1, 1:2) and harder more UNSTABLE resonances or ratios further down (e.g., 2:3, 3:4, 2:5). Simplicity correlated with stability and ease of performance. More complex ratios are harder rhythms because they are less stable. Stability is key. It's the reason why certain musical intervals (chords) are perceived as pleasant, harmonious, "consonant", and found in all cultures (e.g., the octave, 1:2). Other chords are perceived as less pleasant, less harmonious, "dissonant", and found less in other cultures (e.g., the musical fifth, 2:3). Music and rhythm underlies everything! In the beginning was the word...LOGOS...rhythm.

This was my first peer-reviewed publication, after two years of edits, revisions, and rigorous critiques by reviewers. It was finally accepted by JEP, the flagship journal of the American Psychological Association.

Treffner, P. J., & Turvey, M. T. (1993). Resonance constraints on rhythmic movement. Journal of Experimental Psychology: Human Perception and Performance, 19, 1221-1237.

PDF: https://ptreff.tripod.com/papers/tref...
Other publications: https://ptreff.tripod.com/publication...
Farey tree image: https://ibb.co/v4h5sVtP