Genomic-scaled nucleic acid synthesis, and other combinatorial syntheses

Provided is a method of synthesis comprising: (I) providing separate reaction sequences to TABs; (II) utilizing reaction vessels configured to react a separate combinatorial building block with a moiety on a surface of a TAB; and (III) operating one or more TAB sorters comprising a TAB reader, a sorting tree comprising valves or switches and sorting nodes, and a monitor configured to detect TAB location, wherein the operating comprises serially conducting: (a) reacting distinct combinatorial building blocks in the reaction chambers with surfaces of TABs distributed in the reaction chambers; (b) operating a controller to operate the TAB sorters to segregate the TABs to allocations appropriate for the next assigned reaction, the operating including recycling TABs with ambiguous identity back through the sorter; and (c) repeating steps (a) and (b) as needed to complete 30% or more of the assigned sequences.