What is the name of the scale used to measure wind speeds in hurricanes?

The Saffir-Simpson scale measures the intensity of a hurricane. Wind speed is measured on a scale of 1-5 to give an estimate of potential property damage and flooding along the coast. The Categories are as follows:
Category One Hurricane: Winds 74-95 mph.
Category Two Hurricane: Winds 96-110 mph.
Category Three Hurricane: Winds 111-130 mph.
Category Four Hurricane: Winds 131-155 mph.
Category Five Hurricane: Winds greater than 155 mph.

When is hurricane season?

Hurricane season begins June 1st and ends November 30th for hurricanes in the Atlantic basin (Atlantic Ocean). Storm season in the eastern Pacific Ocean begins May 15th and ends November 30th.

Source:  National Hurricane Center. For more information on hurricanes, see the NHC website.