I thought that level of question was resolved thousands of years ago and became part of general common sensibility.
By being conscious of the full spectrum of concepts of harmony you can link multiples together and the mind past its boundary limit using that methodology by compounding harmony to produce a finer sequence of recipricals. Sort of like elements in the field of chemistry united with the concept of a chain reaction which causes sequential realisations of a higher standing order relative to the perfection (or perfect pitch level) of the compound. If a society cant think in terms of harmony then its potentiality for creating it diminishes over time. Think of it this way lets say you and I aware of a concept of harmony that is harmonicall true in three different ways and you add a 4th dimension to that this raises the potentiality of the compound and takes my thinking to another level so then allowing me the capability to think with higher mind and understand the dimensionality and scale of your thinking..so then (if I have the capacity) I can add an extra concept that is harmony of itself and has a connection of due deference to the pre existing concepts of harmony and their arrangement..like dropping a new species into a symbiotic equation..it cant reach the full universalisation of consciousness until it has multiple harmonic connections in place at a symbiotic level and then it becomes (theoretically) more aware over time until it shares the same totality of consciousness as every other thing that pre existed in a state of total symbiotic harmony. I dont believe its possible to reach a state of full symbiotic level consciousness without first understanding the base concept of compound harmony and to do that its neccessary to understand various different kinds of harmony to create the follow on potentiality of understanding. Then, as I understand it anyway, there is the challenge to give greater harmonic potentiality to the "universe" as sort of the souls payback to take all other consciousness to a higher level and hold equivalency by being equal to or greater than the mass balance in terms of the full consciousness of every dimensionality of harmony and the extra compound permutations that become possible by adding one extra harmonic level concept and the fact that consciousness goes one extra level greater when you do and that causes a permutational sequence....perhaps.
Thats probably too advanced for a school administrator..so just cut it off where you think it starts to get too extreme relative to their mindscale and pursued standard of ultimate virtue.
Proper harmony finishes on a higher positive and/ or truth. Thats reason enough.