Tag

Pythagoras

All articles tagged with #pythagoras

music-neuroscience1 year ago

"Reimagining Pythagoras' Musical Consonance"

New research challenges Pythagoras's theory on musical consonance, revealing a preference for slight imperfections in chords rather than perfect integer ratios traditionally associated with beautiful music. The study, involving over 4,000 participants from the US and South Korea, demonstrates a significant preference for "inharmonic" sounds, indicating a broader and instinctive appreciation for varied musical harmonies beyond Western norms. This opens up opportunities for exploring new harmonic languages that resonate with listeners without prior musical training, encouraging musicians and producers to experiment with diverse instruments for innovative musical expressions.

music1 year ago

Study Debunks Pythagoras' Universal Musical Harmonies Theory

A study challenges the traditional idea of universal musical harmonies, finding that the pleasantness of chords is not solely determined by Pythagoras's mathematical ratios. Researchers from the University of Cambridge, Princeton, and the Max Planck Institute for Empirical Aesthetics discovered that slight imperfection in chords is preferred, and the role of mathematical relationships disappears when considering certain unfamiliar musical instruments. The study suggests that there are many more kinds of harmony, encouraging musicians to explore unfamiliar instruments and offering new creative possibilities.

mathematics2 years ago

Ancient Clay Tablet Precedes Pythagoras, Revealing Pythagorean Theorem

A Babylonian tablet dating back to 1770 BCE, over 1,000 years before Pythagoras, contains a proof of the Pythagorean theorem. The tablet, likely used for teaching, demonstrates the knowledge of advanced mathematical concepts by ancient Babylonians. The theorem, attributed to Pythagoras, was likely popularized by his school, leading to its association with him for centuries. The discovery challenges the notion that Pythagoras himself developed the equation.