Another work by Nicomachus which has survived is Manual of Harmonics which is a work on music. Again Nicomachus shows the influence of Pythagoras but also Aristotle's theories of music. The work looks at musical notes and the octave. The principles of tuning a stretched string are studied as is an extension of the octave to the two-octave range. The influences of Pythagoras's theory of music are seen from Nicomachus' ... assignment of number and numerical ratios to notes and intervals, his recognition of the indivisibility of the octave and the whole tone... But, unlike Euclid, who attempts to prove musical propositions through mathematical theorems, Nicomachus seeks to show their validity by measurement of the lengths of strings. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Nicomachus.html
Looks like the best idea. Thx. BTW it is hard to understand that so many msgs were posted here, but very few of them are valuable.