Methods and systems for assembling rotatable machines

A method of ordering blades in a rotatable machine that includes a plurality of blades that extend radially outwardly from a rotor is provided. The method includes receiving at least one geometric parameter measurement of each blade in a row of blades, determining a maximum difference of at least one of the received geometric parameter measurements between adjacent blades in the row of blades, determining a vector sum of at least one of the received geometric parameter measurements, determining a plurality of moment weight vector sums of the rotor, and determining, using a computer, a sequence map of each blade using the maximum difference of the at least one geometric parameter measurement between adjacent blades in the row of blades, the vector sum of the at least one received geometric parameter measurement, and the plurality of moment weight vector sums.