PhotoCalcs
Reciprocity Calculator — Film Long Exposure Correction
Calculate corrected exposure times for reciprocity failure in long-exposure film photography.
How We Calculate This
Reciprocity failure correction uses the Schwarzschild equation:
Corrected time = Metered time ^ p
Where p is the reciprocity exponent specific to each film stock. A higher p value means more correction is needed. The exponent is determined experimentally and published by the film manufacturer.
For example, with Ilford HP5 Plus (p=1.31) and a metered time of 10 seconds: corrected = 10^1.31 = 20.4 seconds. The same 10s reading on Kodak Tri-X 400 (p=1.54) needs 10^1.54 = 34.7 seconds — Tri-X falls off much faster.
Frequently Asked Questions
Reciprocity failure (also called the Schwarzschild effect) occurs when film loses sensitivity during long exposures. Below about 1 second, the relationship between exposure time and film response is no longer linear — you need more time than the meter indicates.
No. Digital sensors respond linearly regardless of exposure time. However, digital sensors accumulate thermal noise on long exposures, which is a different issue typically handled by long exposure noise reduction (dark frame subtraction).
The corrected time = metered time ^ p, where p is the Schwarzschild exponent for the specific film stock. Values of p range from about 1.15 (T-Max 100, minimal reciprocity failure) to 1.54 (Tri-X 400, significant correction needed) for black & white films, with some stocks documented as high as 1.8.
For most films, correction becomes necessary for exposures longer than 1 second. At 10 seconds, a film with p=1.3 needs about 20 seconds actual exposure. At 60 seconds metered, it could need 3-5 minutes.
Colour-negative films such as Portra 400 and Ektar 100 do not follow a single, clean power law. Kodak compensates them with extra stops plus colour-correction filtration that changes with exposure length, so a one-number exponent only gives a rough corrected time. The black & white exponents (Ilford and Kodak) are taken from published reciprocity data and are reliable. For critical colour work, bracket your exposures.
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Last updated: February 2026
All calculations are estimates based on standard optical and photographic formulas. Results may vary with specific equipment.