Understanding the shutter speed reciprocity formula
Shutter speed, aperture (f-number), and ISO form the "exposure triangle" — the three settings that together determine how bright a photo turns out. Change one and, to keep the same overall brightness, you must change the others by an offsetting amount. This calculator answers the most common version of that question: given a base exposure that already looks right, what shutter speed keeps the exposure equivalent after you pick a new aperture and/or a new ISO?
The exposure equivalence formula
Exposure (the total light reaching the sensor) is proportional to shutter time × ISO ÷ aperture². Setting the base exposure equal to the new exposure and solving for the new shutter time gives:
t2 = t1 × (N2 / N1)² × (ISO1 / ISO2)
where t1 and N1 are the base shutter speed and f-number, ISO1 is the base ISO, and N2 and ISO2 are the new aperture and ISO. The squared aperture ratio appears because the amount of light passing through a lens opening scales with the area of the aperture, which scales with the square of the f-number's reciprocal.
Reading the stop change
A "stop" is a doubling or halving of light — the standard unit photographers use to compare settings. The calculator reports the net stop change as log₂(t2 / t1): a positive number means the new shutter speed is slower (more time, needed because the new settings let in less light), and a negative number means it is faster. Full-stop aperture values (f/1.4, f/2, f/2.8, f/4, f/5.6, f/8, f/11, f/16, f/22) each let in half the light of the previous one; full-stop ISO values (100, 200, 400, 800, 1600...) each double sensitivity.
Handheld shutter speed guideline (the reciprocal rule)
A long-standing rule of thumb says a shutter speed should be at least as fast as 1 ÷ focal length (in seconds) to avoid visible blur from hand tremor when shooting without a tripod or image stabilization — for example, 1/50s or faster with a 50mm lens, or 1/200s or faster with a 200mm telephoto. This calculator checks the new shutter speed against that threshold using the focal length you enter. Optical or in-body stabilization typically buys back two to five stops, letting you shoot slower than the raw guideline; a moving subject may still blur even at a "safe" handheld speed.
Typical shutter speeds and what they're used for
- 1/2000s–1/4000s: freezing fast sports or wildlife action.
- 1/500s–1/1000s: general action, kids, pets in motion.
- 1/125s–1/250s: everyday handheld shooting, portraits.
- 1/30s–1/60s: handheld with a steady grip or stabilization, panning shots.
- 1/4s–2s: tripod-based low light, light waterfalls/motion blur.
- 5s and longer: long-exposure night, astro, and light-trail photography.