Tiling the Musical Canon with Augmentations of the Ashanti Rhythmic Pattern

Carl Bracken, Gary Fitzpatrick and Nadya Markin
Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture (2009)
Pages 265–270 Regular Papers


We discuss the problem of constructing a tiling of the musical time-line with a number of instruments (called voices) all of which are playing according to variations of a particular rhythmic pattern. We show that the Ashanti rhythmic pattern allows a tiling in six voices.