Tuning your Floyd Rose bridge is certainly a tricky business when the bridge is floating. This is because the total tension of the strings must balance the total tension of the tremolo springs with the base plate of the bridge parallel to the face of the guitar and with the strings tuned to the desired pitch. So, follow these steps and and it will start to make sense.
Loosen the three string clamps at the nut
Set your fine tuner screws on the bridge to the middle of their adjustment range.
Tune the strings to your desired pitch (this can be drop tuning, open tuning, or standard pitch, the procedure is the same for any tuning) with an electronic tuner starting with the low ‘E’.
When you have finished tuning all of the strings, check the tuning on the low ‘E’ again. If the low ‘E’ is now flat, re-tune the strings starting again with the low ‘E’ but this time tune the E, A, D, G, and B strings a little bit sharp, then the high ‘E’ to pitch. If the low ‘E’ is sharp, re-tune as just described only tuning the first five strings a little flat. You must tune the strings a little sharp or flat to get to your tuning because every time you change the tension (or pitch) of one string, the other strings change pitch in the opposite direction.
Repeat step 4 until all the strings are at the desired pitch.
When the strings are at the desired pitch, check to see if the bridge base plate is sitting parallel with the top surface of the guitar. If the base plate is tilted forward away from the body, you must tighten the tremolo springs tension by turning the spring claw screws clockwise and repeat step 4. If the base plate is tilted back toward the body, you must loosen the tremolo springs tension by turning the spring claw screws counterclockwise and repeat step 4. [Step 6 only needs to be done on initial setup of the bridge or if you change to another gauge of strings or change to a different tuning.]
When the bridge is sitting parallel to the face of the guitar and the strings are tuned to the desired pitch, re-clamp the three nut clamps and re-tune (if necessary) once again using only the fine tuners.
When tuning is complete, check the action of the strings off the neck. If your action is to high or to low, adjust the action with the two rocker screws (bridge pivot screws) using the 3mm Allen wrench. This adjustment will slightly change your tuning. If your fine tuners run out of range you must repeat steps 1 through 7.