Fair enough, it depends on what you exactly mean by a "complex sound".

The number of phomenes in (Mandarin) Chinese is indeed not low, but it has only ~1200 different syllables (including those differentiated by only tone differences), which is pretty low compared to other languages.

English has 26 letters which represents 44 phomenes, modern Chinese has ~8000 characters for 1200 syllables, I don't think you can find a system in there.