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The opening inside a lens that light passes through. Make it bigger and more light enters; smaller and less.
The point that keeps tripping people up. The formula sorts it once and for all.
F-number = focal length ÷ aperture diameter
Aperture diameter is in the denominator, so:
In other words, the F-number is "the opening as a ratio to focal length." This is also why two lenses of different focal lengths give the same brightness at the same F-number.
Aperture moves in steps of √2 (about 1.414) because area must double for light to double.
f/1.4 f/2 f/2.8 f/4 f/5.6 f/8 f/11 f/16
←───────────── open (bright, shallow DoF)
stopped down →───── narrow (dim, deep DoF)
Aperture's real weapon is depth of field.
DoF also depends on focal length, subject distance, and sensor size — but aperture is the one variable you control most directly while shooting.