  We propose to consider balanced circular words over a ternary alphabet for
construction and classification of musical scales as a generalisation of the
approach of N. Carey, D. Clampitt and T. Noll where balanced circular words
over a binary alphabet (Christoffel words) naturally arise. We also propose a
generalisation of Myhill property for circular words over a N-ary alphabet such
that it includes circular balanced words as a particular case. We also give a
complete classification of Myhill words for N = 3. We provide examples of
5-just octave scales related to balanced circular words over a ternary
alphabet, while the generalised Myhill property appears to be incompatible with
n-just octave scales. For the balanced circular words over a ternary alphabet
we propose a discrete path representation generalising that for Christoffel
words.
