If you are just joining us, the PRELUDE & SYLLABUS section is the logical starting point for the series.
The f-stop is a ratio between the focal length of the lens divided by the diameter of the orifice/aperture; hence the f-stop.
The "area" of the aperture is the area of a circle = pi times the radius squared.
Because this is a ratio, the actual area will be in proportion to the focal length, but the area of the front lens correlates to the lowest f-stop available. To clarify, you can only get to an aperture of 1.4 on any focal length if the FRONT lens diameter is large enough, a more expensive lens.
Conversely, when you INCREASE the DIAMETER of the orifice/aperture by approximately 40% (rounded to the nearest tenth), you DOUBLE the area.
Another analogy that works well with f-stops are the notes on a piano. From middle C, the next C note up is exactly double the frequency. Every C note down is exactly half the frequency of the previous C note.
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