Musical Scales, Integer Partitions, Necklaces, and Polygons

David Rappaport
Bridges London: Mathematics, Music, Art, Architecture, Culture (2006)
Pages 595–598


A musical scale can be viewed as a subsequence of notes taken from a chromatic sequence. Given integers (N,K) N > K we use particular integer partitions of N into K parts to construct distinguished scales. We show that a natural geometric realization of these scales results in maximal polygons.