Wind, Vocal, and Brass instruments are all very similar in that they all use vibrating air passing through a column to create the sound.
Wind and brass instruments use vibrations in pipes to create the sounds. The differences are in what is used to create the vibration. In brass instruments, the lips of the person playing create the vibration while a reed is used in most woodwind instruments.
The different notes are created by shortening or lengthening the pipes. In wind instruments this is most commonly done by opening and closing holes on the pipe. In brass instruments, valves and slides are used. The equation to determine the wavelength of a sound created by an instrument that is open at both ends is λ=2L/n, where n<=1. The L is the length of the pipe. The equation for a pipe closed at one end is λ=4L/(2n+1), where n<=0.
Vocal instruments create sound through air passing over the vocal chords causing them to vibrate. The length and stress on the vocal chords change the pitch of the sounds. Women generally have shorter, thinner vocal chords than men. This is the reason for the higher pitch of women's voices.