Add new comment


Dear Dr. Livio,
Thank you for the page with the wealth of information on the Golden Section.
I am a researcher in music cognition. My explanation of a space of music includes calling the Pythagorean intervals the melodic reference elements or artistic universals in music. The sharing of the "strong" spectral information between tones of the Pythagorean intervals is most likely the origin of their auditory pleasantness. From a perspective of neurophysiology, it is possible that the sharing (and the supposed relative ease in processing of these intervals) is related to the lesser cost of neural processing as compared to non-consonant compounds. Most likely, these neuropsychological properties were the foundation for a paleo-scale; they were of importance for the musician’s ear just 400 years ago. Yet today we listen to the slightly mistuned intervals which lost their sonic purity with the introduction of tempered scale.
I am an admirer of Matyla Ghyka and I really like his ideas of "built-into" geometrical universals (for example, log relations) which, I believe, affect our perception of the world.
It is possible that some ratios of natural growth are inherent for our perception.

Marina Korsakova-Kreyn, PhD

Filtered HTML

  • Web page addresses and email addresses turn into links automatically.
  • Allowed HTML tags: <a href hreflang> <em> <strong> <cite> <code> <ul type> <ol start type> <li> <dl> <dt> <dd>
  • Lines and paragraphs break automatically.
  • Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.

  • What do chocolate and mayonnaise have in common? It's maths! Find out how in this podcast featuring engineer Valerie Pinfield.

  • Is it possible to write unique music with the limited quantity of notes and chords available? We ask musician Oli Freke!

  • How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?

  • Was the mathematical modelling projecting the course of the pandemic too pessimistic, or were the projections justified? Matt Keeling tells our colleagues from SBIDER about the COVID models that fed into public policy.

  • PhD student Daniel Kreuter tells us about his work on the BloodCounts! project, which uses maths to make optimal use of the billions of blood tests performed every year around the globe.