As many smart people have noted, we are not as truly symmetrical as we appear, neither in structure nor function. Every yoga instructor reminds participants that one of side of their bodies is not the same as the other.
While Beauty may require balance, it does not require symmetry. And yet, should we prefer or respect symmetry, and should asymmetry derive its value from an embodied recall of symmetry?
Here's another way for the designer or composer to think about asymmetry's use. Is symmetry an operational ideal? Can the designer ever create a successful asymmetrical solution without acknowledging the force of symmetry?