Based on my understanding of music, math, physics, and even philosophy, I do not understand why the beauty of harmonic simplicity and strength between whole numbers is not discussed much at all when talking about intelligent design, the nature of nature, and what "it's" all about. It's not created by an outside entity or derived from some theories and special constants; it is simply a fundamental of mathematics, physics and nature by definition.
When "things" are more harmonic and work better together they have superior strength, power, and a logical reason to become building blocks in nature that rise to the top of form and function longevity.
Math and physics derive many more complex concepts beyond this through observation and pattern matching but it seems like harmonic quality is the foundation of it all.
At a minimum this seems to be true in our perceived world of 4d space-time reality and understanding of nature.
Thanks for the great responses. I obviously need better terminology.
By “harmonic simplicity and strength” i meant high consonance between two frequencies (musical or otherwise) where the combined wave form has fewer peaks and valleys. In music the most consonant intervals are the octave 2:1, the perfect fifth 3:2, the perfect fourth 4:3 etc. As we continue on, more dissonance occurs which is used by musicians of course to create tension and repose in their songs. Much like a great book or movie, it modulates feelings, but I digress.
I certainly did not mean to imply that everything is a ratio of integers.
Proportion is just a low level fundamental. As we expand our constructs, functions and recursion bring much to the table as in circles, phi, pi, fractals, etc. When speaking of circles, though, we break into the realm of cycles, curves, calculus and infinite precision. A circle’s circumference and area are only as accurate as your precision of pi. Without infinity (underrated imho) a circle is just a many-sided polygon. It’s the old game of points vs waves, digital vs analog, pixels vs vectors, prickles and goo as Alan Watts would say.
I still feel there is something very fundamental in the known universe having to do consonant or equal frequencies (i.e., attraction: birds of a feather flock together). Feeling empathy, playing in a band, being in tune, perhaps even quantum entanglement to some degree (imagination is more important than knowledge; right, Albert?)
In a tug of war or moving a 5-ton rock, the power of a team is inherently based on synchronizing the components to work together in harmony, whether it is 1:1, 2:1, 3:2 … just try to keep the dissonance down.