ND Filter Calculator

This ND filter calculator shows how long you have to expose with a neutral density filter: enter the time without filter and the filter strength, then read the new exposure time, stops and density.

Source: Wikipedia – Neutral-density filter (Filterfaktor, Dichte, Blendenstufen). Updated: .

for example 1/125 or 0.5 (seconds)
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Result

New exposure time
1/125 s with ND1000 (10 stops) = 8.2 s
All filter strengths at a glance
StopsFilterDensity (OD)New time
1ND20.31/63 s
2ND40.61/31 s
3ND80.91/16 s
4ND161.21/8 s
5ND321.51/4 s
6ND641.80.5 s
7ND1282.11 s
8ND2562.42 s
9ND5122.74.1 s
10ND100038.2 s
11ND20003.316.4 s
12ND40003.632.8 s
13ND80003.91 min 6 s
14ND160004.22 min 11 s
15ND320004.54 min 22 s
16ND640004.88 min 44 s
How it is calculated
  • In total 10 stops: factor 1,024, optical density 3.01.
  • New time = time without filter × 2 to the power of the stops. Every stop doubles the time, and so does every density step of 0.3.
With digital cameras the calculation is enough. With film, very long times add reciprocity failure and need even longer exposure. The time applies for the same aperture and ISO.

How it is calculated

At 1/125 second with an ND1000 filter (10 stops) the exposure time comes to about 8 seconds. The calculator multiplies the time without filter by the filter factor and shows time, stops and density.

How it is calculated

Each stop doubles the required exposure time. A filter of n stops therefore has the factor 2 to the power of n: ND8 is 3 stops and factor 8, ND64 is 6 stops. The optical density (OD) is stops times 0.301; ND8 equals OD 0.9 and ND1000 about OD 3.0. The new time is time times factor. Several filters in a row add their stops: ND8 and ND64 make 9 stops, so ND512.

Tips for long exposures

More photo tools: the depth of field calculator, the crop factor calculator and the time-lapse calculator.

Frequently asked questions

How do I calculate exposure time with an ND filter?

Multiply the time without filter by the filter factor. With ND1000 (factor 1024) 1/125 s becomes about 8 s.

How many stops is an ND1000?

Ten stops, because 2 to the power of 10 is 1024. The density is 3.0.

What do ND8, ND64 or ND1000 mean?

The number is the factor by which the filter weakens light: ND8 absorbs three stops, ND64 six, ND1000 ten.

Can I stack two ND filters?

Yes, the stops add up. Color casts and vignetting may increase though, especially with wide-angle lenses.

Sources and legal basis

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