BUFFALO, N.Y. - For singers and their audiences, being "in tune" might not be as important as we think. The fact that singers fail to consistently hit the right notes may have implications for the ...

A crucial link between mathematics and music is nicely illustrated by the Tonnetz, a geometric diagram representing the harmonic relationships between the notes of the musical scale. An early version ...

Many musical cultures choose scales that establish simple frequency ratios (2:1, 3:2, 4:3) between notes. It is commonly believed that this choice is solely explained by the intention to maximize the ...