In common sense, harmony refers to agreement and well fitting together of parts of any set that are forming the whole construction. In particular, harmony means
•well-sounding music,
•appealing proportions, e.g., in architecture, or
•compatibility in opinion and action.
The ancient Greek philosophers searched harmony in the universe as well as in the human arts. Certain geometric constructions are addressed as platonic bodies. The school named after Pythagoras tried to measure harmony in numbers. As simpler a ration of numbers that are characterizing a system, more harmonic the system is itself. The starting point was problems of music, because here harmony is very easy to demonstrate.
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Fink, J.K. (2009). Harmony. In: Physical Chemistry in Depth. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01014-9_16
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