Patterns, order, and proportion Being new to the Forum, I didn't intend my previous post - but cannot see how to remove it.
As regards whether patterns are objective or subjective, it is probably the same problem as to whether patterns are discovered or invented.
As noted by Pfhorrest, the concepts quality and quantity are important in explaining a word. The word "pattern" has two meanings.
As a quality, pattern is a mental concept, a universal definition, and therefore subjective.
As a quantity, a pattern is a particular thing that exists in the world. A pattern is understood by the spatial or temporal regularities in the elements that make it up. But is such a pattern objective or subjective ?
Start by considering a pattern dependent on time, such as a musical pattern, where the regularities in the elements that make up the pattern are through time. For a pattern to be objective, the pattern must exist in a world having a space-time of three spatial dimensions and one temporal dimension.
But within our world only one moment of time exists. Therefore, in our world, the relationships between the elements that make up a musical pattern cannot be objective. If a musical pattern can only exist through time, then it can only exist in the mind, meaning that such a pattern is subjective.
Patterns (considered as a quantity) exist in space and time. When we think about patterns - a wave on water, a Derain, a Santana, a fractal leaf, a William Morris design, a Sondheim - we generally don't treat patterns in space as being ontologically different to patterns in time. Therefore, if a pattern in time is subjective, we can deduce that patterns in space are also subjective, ie, all patterns are subjective.