Unsound- Don't feel bad. You've got lots of company! "While I'm not there yet, ..." - no one is there yet! It doesn't exist, yet. Will it ever exist? Who knows. In the end, who cares. I for one do not want for the day when one goes down to the local entertainment emporium and orders an audio system pre-selected by a computer because of its synergistic relationship score. What fun is that?
Audio is more about the journey than the destination. Since most of us here don't have the talent to create or even play music, we amuse ourselves with learning about the interplay between various components with the desire to find that elusive combination that transcends mere noise, and allows us a short but spiritual experience of the emotional sublime. You shouldn't be able to find this from some cookie cutter, pre-selected computer output!
Formulas (equations) are used to design the circuits, but the selection of individual subcomponents on the basis of sound is the last area of art for most audio designers. (True innovators, like D.Berning, are in another league!)System synergy has many variables that are often as numerous as the number of potential customers. This is the type of information that you learn, not obtain from a data sheet.
For the record, I'm one of those silly electronic engineers. I'm always amused by those who are not, yet continue to think that if they look hard enough at a sheet of numbers that some revelation will come to them. I'm sorry if that sounds too dismissive. I applaud anyone who actually determines to educate themselves in the requisite math and scientific principles to understand the fundamentals of analog and digital electronics. I'm even more impressed with those who go through this arduous task, and can still find joy and beauty in the music that is reproduced from equipment without resorting to DBT and distortion figures, or worse, to bottom-line sales figures.
Is there a clear, absolute relationship between specs and sound? Currently, only in the most rudimentary areas. As an engineer, I can tell you that we design to meet the specs, or requirements doc, that are usually generated by the marketing department. As such, there are certain trends that, valuable or not, become expected. Many of these expectations can be customer generated or simply marketing tools to help differentiate a product from the competition. After awhile, these can take on a life of their own. Remember the THD wars of the 70s and 80s? Life was simple. You simply picked the component with the lowest THD figures, often below .001%, and the most power. Anyone could do it because it was made easy. Did this actually benefit the quality of the reproduced music?
Though there is quite a bit of misinformation espoused by some on this site, well intentioned of course, there is also a wealth of valuable information. If one wants to learn, just look in the archives and continue to ask questions. Don't dismiss the opportunity to learn from experienced audiophiles when it comes to equipment synergy just because the individual component specs aren't to your or some reviewer's liking.
Again, if your desire to investigate the specs of a component(s) help lead you into the study of the fundamentals of electronics, then more power to you. However, for the rest, I suggest that you go rent the movie Pi, and ponder the value of.
I did not post to anger or attack anyone. This diatribe was simply my opinion on this topic of good specs equate to good sound. Do specs have value? Of course, but they shouldn't be the primary tool that one uses when selecting audio equipment.
Bottom line- use common sense and your ears. If you don't know, ask and then listen. My audio path may not be yours, and that's probably a good thing, as my ears, room, and sonic preferences will likely differ from yours. Above all, enjoy the music!