Camera calculator · free in CineMath

Exposure Calculator

Enter a stop change and see the iris, shutter angle, ISO or ND that compensates for it.

Exposure keeps the image the same when something changes. Enter your current T-stop, shutter angle and ISO and a change in stops, and CineMath gives four separate ways to compensate: adjust one of them. A positive change means more light has arrived and has to be cut; a negative one means light was lost.

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CineMath Exposure on iPhone: the exposure triangle at T2.8, a 180° shutter angle and ISO 800, with an EV change of 0 stops

Worked examples

One stop more light (+1 EV) at T2.8, 180°, ISO 800: adjust one of

One stop more light (+1 EV) at T2.8, 180°, ISO 800: adjust one of
SettingCompensated value
T-stopT4
Shutter angle90°
ISO400
ND filterAdd ND 0.3 (ND2)

Two-thirds of a stop less light (−2/3 EV) at T2.8, 180°, ISO 800: adjust one of

Two-thirds of a stop less light (−2/3 EV) at T2.8, 180°, ISO 800: adjust one of
SettingCompensated value
T-stopT2.2
Shutter angle285.7° (flagged as far from 180°)
ISO1270
ND filterRemove ND 0.20 (nearest ND 0.3 · ND2)

What you enter

  • Aperture (T-stop), with presets T1.4 to T8
  • Shutter angle (degrees), with presets 45, 90, 172.8, 180, 270 and 360°
  • ISO, with presets 100 to 3200
  • EV change (stops, plus or minus), with presets ±1 to ±3; fractions such as +1/3 or −2/3 are accepted

What you get

  • A one-line summary: the ND to add when light goes up, or the T-stop to open to (or ND to remove) when it goes down
  • Compensating T-stop, rounded to the nearest standard third-stop between T1 and T32, with the exact value when they differ
  • Compensating shutter angle
  • Compensating ISO
  • ND filter to add or remove, by density and marking (ND 0.3 (ND2) to ND 3.0 (ND1024)), with the exact density when the change is not a whole stop
  • The formula with your numbers in it
  • Warnings for a shutter outside 1–358°, an ISO outside 50–25,600 or a T-stop outside T1–T32, a note when the angle moves far from 180°, and a reminder that removing ND assumes a filter is in

How CineMath works it out

  • T-stop: T × √2^EV
  • Shutter angle: angle × 2^(−EV)
  • ISO: ISO × 2^(−EV)
  • ND density: |EV| × 0.3
  • Each option absorbs the whole change on its own: pick one, not all four
  • The T-stop is rounded to the nearest third-stop marking by distance in stops; the exact value is shown when they are 0.05 stop or more apart
  • ND within 0.15 stop of a whole stop shows its marking; otherwise the exact density and the nearest marking, e.g. ND 0.45 (nearest ND 0.6 · ND4)

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