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Reciprocity Calculator

Corrected exposure (seconds) —
Corrected time
—
Extra exposure (stops)
—
Multiplier on metered time
—

Film loses sensitivity in long exposures, so a metered time over one second must be lengthened. Ilford models this as corrected time = metered time raised to a film exponent P. For HP5 Plus, P is 1.31, so a metered 10 seconds becomes 10^1.31 ≈ 20.4 seconds, about one stop of extra exposure.

About this tool

Black-and-white film photographers shooting at night, in dim interiors or with dense ND filters run into reciprocity failure: past about one second, doubling the exposure no longer doubles the density on the negative. A light meter or a digital camera reading does not know this, so its suggested time underexposes the film. This calculator takes the metered time and the film stock, applies the manufacturer's power-law exponent, and returns the corrected time as a count of seconds and as minutes, the extra exposure in stops and the multiplier over the reading. It shows the working for each figure. Exponents are taken from Ilford's published compensation sheet and cover Ilford and Kentmere films; for other stocks, enter an exponent from the maker's data. The model does not correct colour shifts in slide or colour negative films, which need filtration as well as time.

How to use it

  1. Pick the film

    Choose your stock from the list, or Custom exponent to type a P value from another data sheet.

  2. Enter the metered time

    Type the exposure time your meter or camera suggests, as a number of seconds.

  3. Read the corrected time

    Use the corrected time, given both as seconds and as minutes, and note the extra stops if you prefer to open the aperture instead.

Examples

HP5 Plus at a metered 10 s

Film stock
Ilford HP5 Plus 400
Metered exposure time
10

Result Corrected exposure (seconds): 20.4
Corrected time: 20.4 s
Extra exposure (stops): 1.03
Multiplier on metered time: 2.04

  1. Film: Ilford HP5 Plus 400, exponent P = 1.31
  2. Corrected time = 10^1.31 = 20.4 s
  3. Extra exposure = log2(20.4 ÷ 10) = 1.03 stops

A night street scene metering at 10 seconds needs about 20 seconds on HP5 Plus, roughly one extra stop.

FP4 Plus at a metered 1 minute

Film stock
Ilford FP4 Plus 125
Metered exposure time
60

Result Corrected exposure (seconds): 174
Corrected time: 2 min 54 s
Extra exposure (stops): 1.54
Multiplier on metered time: 2.9

  1. Film: Ilford FP4 Plus 125, exponent P = 1.26
  2. Corrected time = 60^1.26 = 174 s
  3. Extra exposure = log2(174 ÷ 60) = 1.54 stops

A one-minute reading on FP4 Plus stretches to just under three minutes once reciprocity failure is allowed for.

Custom P of 1.5 at 4 s

Film stock
Custom exponent
Reciprocity exponent (P)
1.5
Metered exposure time
4

Result Corrected exposure (seconds): 8
Corrected time: 8 s
Extra exposure (stops): 1
Multiplier on metered time: 2

  1. Film: Custom film, exponent P = 1.5
  2. Corrected time = 4^1.5 = 8 s
  3. Extra exposure = log2(8 ÷ 4) = 1 stops

With an exponent of 1.5, a 4 second reading becomes 4^1.5 = 8 seconds, exactly one stop more.

How it is calculated

Tc = Tm^P, extra stops = log2(Tc ÷ Tm)

Tm
metered exposure time (s)
Tc
corrected exposure time (s)
P
the film's reciprocity exponent, for example 1.31 for HP5 Plus

Ilford publishes a power law for its black-and-white films: the corrected time is the metered time raised to a film-specific exponent. It only applies when the metered time exceeds one second; shorter exposures keep the reciprocity law and need no change. The extra stops figure is the base-2 logarithm of the ratio between corrected and metered time, which is useful if you would rather widen the aperture than wait longer.

When not to use it

  • Colour slide and colour negative films also shift colour in long exposures, which this time correction does not address.
  • Digital sensors do not suffer reciprocity failure, so use the metered time as it is.

Common mistakes

  • Applying the exponent to the stop count instead of to the exposure time itself.
  • Adding filter factors after the correction rather than to the metered time before it.
  • Using one film's exponent for another; Delta 400 needs noticeably more time than FP4 Plus.

Frequently asked questions

What is reciprocity failure?

The reciprocity law says that halving the light and doubling the time gives the same exposure. Film emulsions follow it between roughly 1/1000 s and 1 s, but at long times the latent image forms less efficiently, so the film behaves as if it received less light than the meter assumed.

Why is nothing changed for times of 1 second or less?

Ilford's compensation formula is defined for metered times above one second. Below that, its films follow the reciprocity law closely enough that the metered time is used unchanged, so the calculator returns your input and adds a note.

Where do the exponents come from?

They come from Ilford's reciprocity law failure compensation sheet, which lists a P value for each current Ilford and Kentmere black-and-white film. For example FP4 Plus is 1.26, HP5 Plus 1.31 and Delta 400 1.41.

Can I use it for Kodak or Fomapan film?

Yes, with the Custom exponent option, if the maker publishes a power-law value. Kodak and Foma usually publish tables or curves instead; in that case read their table directly, or fit an exponent from two of their points and enter it here.

Should I open the aperture instead of extending the time?

Opening up by the extra stops shown shortens the exposure, but reciprocity failure then changes because the metered time itself changes. Recalculate with the new metered time, as the correction shrinks rapidly as times get shorter.

Do I include filter factors before or after the correction?

Apply filter and bellows factors to the metered time first, then run the corrected total through the formula. Correcting first and multiplying afterwards gives too short an exposure on long times.

Cite this tool

Using this tool in an assignment, article or report? Copy a citation, or a link for your website.

APA

Tools Directory Editorial Team. (2026, October 16). Reciprocity Calculator. Tools Directory. Retrieved October 27, 2026, from https://tools.milunir.com/photography/exposure-and-camera-settings/reciprocity-calculator/

MLA

Tools Directory Editorial Team. “Reciprocity Calculator.” Tools Directory, 16 Oct. 2026, https://tools.milunir.com/photography/exposure-and-camera-settings/reciprocity-calculator/. Accessed 27 Oct. 2026.

Chicago

Tools Directory Editorial Team. “Reciprocity Calculator.” Tools Directory. Last modified October 16, 2026. Accessed October 27, 2026. https://tools.milunir.com/photography/exposure-and-camera-settings/reciprocity-calculator/.

Link<a href="https://tools.milunir.com/photography/exposure-and-camera-settings/reciprocity-calculator/">Reciprocity Calculator – Tools Directory</a>