Musical rhythm spectra from Bach to Joplin obey a 1/f power law

Much of our enjoyment of music comes from its balance of predictability and surprise. Musical pitch fluctuations follow a 1/f power law that precisely achieves this balance. Musical rhythms, especially those of Western classical music, are considered highly regular and predictable, and this predictability has been hypothesized to underlie rhythm’s contribution to our enjoyment of … Read more

The Power of the Aether as Related to Music and Electricity – Eric Dollard

Abstract   “Originally, mankind was on a path that is in alignment with the harmonic natural laws of the universe. This was from the time of Pythagoreas up to Johann Sebastian Bach. Then, the big shift came. This divergence basically turned everything inside out. All of this understanding has become denied and despised. There has … Read more

Fractal geometry of music

Abstract   Music critics have compared Bach’s music to the precision of mathematics. What “mathematics” and what “precision” are the questions for a curious scientist. The purpose of this short note is to suggest that the mathematics is, at least in part, Mandelbrot’s fractal geometry and the precision is the deviation from a log-log linear … Read more

Bach’s Twenty Children

Content Of Johann Sebastian Bach’s twenty children, three were outstanding musicians in their own right. Of these three – Wilhelm Friedmann, Johann Christian and Carl Philipp Emanuel – the last was the most influential as a composer, creating a bridge between the exuberant Baroque style of his father and the Classical style of Haydn and … Read more

The Power of the Aether as Related to Music and Electricity – Eric Dollard

Abstract   “Originally, mankind was on a path that is in alignment with the harmonic natural laws of the universe. This was from the time of Pythagoreas up to Johann Sebastian Bach. Then, the big shift came. This divergence basically turned everything inside out. All of this understanding has become denied and despised. There has … Read more

Musical Mathematical Ratios and the Engineering of Consciousness – Alexandre Tannous – Free Your Mind Conference 3 (2015-04)

Half-step has 100 cents. Western octave is 12 half-steps (tones, notes: C, C#, D, etc. Black and white keys on keyboard) Indian octave has 22 tones Persian and Arabic octave has 24 tones Turkish octave has 53 steps https://www.youtube.com/watch?v=u-rIRML75_I&list=PLfi4BBtYUMKz36guaSbV8F0I8gosT7eIw Alexandre Tannous is a musician, educator, and sound therapist known for his work exploring the intersections … Read more