Noting the Difference: Musical Scales and Permutations.

The article discusses the importance of the paper "Musical Scales and the Generalized Circle of Fifths," by J. Clough and G. Myerson in the mathematical music theory literature. The paper deals with the way the white keys in the piano, called the diatonic set, are embedded in the chromatic scale and studies the different-sounding progressions with the same structure. The use of chromatic length in defining equivalence relations on the set of note lines is also offered. It corrects the theorem and the corollary stated in the paper.