The chromatic scale -- the musical scale that follows the notes of the piano and of which the Western seven-tone do-re-mi scale is a subset -- may not be based on number ratios, as many physicists and ...

The mathematical rules for creating musical harmony may be more malleable than thought. Western music theory traditionally holds that chords sound most pleasant when they contain notes separated by ...

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 ...