I have a feeling what is at work is far beyond our wildest imagination. I very much like your analogy. I was thinking in terms of computers having codes upon codes (like binary, windows, MS Word, etc). But your analogy is soooo much better!
If I make it to the Pearly Gates, I won't be surprised to find out that the patterns and sequences of Bach's works formed a sort of audible Map of Heaven.
(Our son is named Johann, after Bach a decision Mrs Chan and I made long before Baby Chan was conceived.)
If DNA really is more like a fugue than a simple sequence of notes, I won't be surprised. The Universe seems to be both recursive and harmonious. The term "music of the spheres" may turn out to be a more apt analogy than anyone knew.
Yeah. A little humility is in order when studying something created "in the image of God."