
Music Theory
Grammatika by Troy A Peterson
the best thing i learned today – The Mathematics in Music
I went to a very interesting performance today: “The Mathematics in Music: a concert-conversation with Elaine Chew”, in Killian Hall at MIT . Elaine is visiting Harvard for the year from USC , where she is a professor. She has an amazingly broad background that is super-pleasing… having studied math, computer science, music performance, and operations research. Elaine performed four piano pieces, three of which were composed just for her, that use playful tricks in math as compositional inspiration. Some of these tricks included: Composing with a meter determined by the numbers in a row (or column) of a completed Sudoku puzzle.Universal property of music discovered
Mar. 25, 2011 — Researchers at the Institute for Logic, Language and Computation (ILLC) of the University of Amsterdam have discovered a universal property of musical scales. Until now it was assumed that the only thing scales throughout the world have in common is the octave. The many hundreds of scales, however, seem to possess a deeper commonality: if their tones are compared in a two- or three-dimensional way by means of a coordinate system, they form convex or star-convex structures. Convex structures are patterns without indentations or holes, such as a circle, square or oval. Almost all music in the world is based on an underlying scale from which compositions are built. In Western music, the major scale ( do-re-mi-fa-sol-la-ti-do ) is the best known scale.Music Theory

