Abstract:
The songs found in Byzantine music possess great cultural significance, a beautiful sound, and wonderful mathematics. The purpose of this paper is to show that Byzantine music satisfies a similar exponential relation F=c(I+1)D that some classical music pieces studied by K. Hs ̈u and A. Hs ̈u in[2] satisfy. Here F denotes the frequency of a note interval I between successive notes, D is the dimension of the model, and cis a proportionality constant.