Gain of 2 cycle DFT

The magnitude gain of one-cycle DFT is well known and is given by , where N is the number of samples per cycle of the fundamental frequency given by . The sampling frequency which is the integral multiple of the fundamental frequency is given by . The gain is unity when , (ω being the off-nominal frequency), and less than unity for off-nominal frequencies due to spectral leakage. What is the value of the magnitude gain for a 2-cycle DFT. How does the above equation change for a 2-cycle DFT. Any help will be much appreciated.

[mir khadim]

is it simply a question of replacing N by (thats what it seems).