Tuesday, March 29, 2011

Universal property of music - All known scales line up into a Euler Lattice

Researchers discover universal property of music | PsyPost:
Musical beats
"By placing scales in a coordinate system (an ‘Euler lattice’) they can be studied as multidimensional objects. Dr. Aline Honingh and Prof. Rens Bod from the ILLC did this for nearly 1,000 scales from all over the world, from Japan to Indonesia and from China to Greece. To their surprise, they discovered that all traditional scales produced star-convex patterns. This was also the case with almost 97% of non-traditional, scales conceived by contemporary composers, even though contemporary composers often state they have designed unconventional scales."


Hindu lattice 2
Hindu matrix

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