
Well it seems the ancient Greeks were right about tying geometry to music as three music profs have connected sophisticated 3D modeling techniques to musical components to come up with a powerful new way to analyze music. "They take sequences of notes, like chords, rhythms and scales, and categorize them so they can be grouped into "families." They have found a way to assign mathematical structure to these families, so they can then be represented by points in complex geometrical spaces, much the way "x" and "y" coordinates, in the simpler system of high school algebra, correspond to points on a two-dimensional plane. "
What they found was pretty amazing in terms of how easily "western" composition could be transformed into really interesting geometric shapes (including spheres), something that Thales and his student Pythagoras, used in developing number theory to describe how reality worked. "The (Pythagoreans were) ... the first to take up mathematics ... (and) thought its principles were the principles of all things. Since, of these principles, numbers ... are the first, ... in numbers they seemed to see many resemblances to things that exist ... more than [just] air, fire and earth and water, (but things such as) justice, soul, reason, opportunity ..."


Addendum: Check out Zeno’s Paradox to see what happens when Zero is left out of the equation.
1 comment:
I’m pleased I located this web site,
levitra
Post a Comment