Free ND Filter Calculator

An ND (neutral density) filter cuts light by a fixed number of stops, allowing longer shutter speeds in bright conditions. Enter your base exposure (the shutter speed without the filter) and the filter strength — get the exact shutter time for a silky-smooth long exposure.

Exposure

e.g. 0.5 = 1/2 s · 0.008 = 1/125 s · 4 = 4 s
Optional: e.g. +0.33 for the half-stop between 10 and 13 stops.

Result

Shutter time
—
with filter
Effective stops
—
filter + compensation
Base
—
without filter
🌊 Reading: with a on top of a base exposure, you need a shutter speed. Bulb mode + a remote release (or the camera's 2-second timer) is the reliable way to shoot it.

ND filter stops reference

Filter nameOptical densityStops
ND20.31
ND40.62
ND80.93
ND161.24
ND321.55
ND641.86
ND1002.06.7
ND1282.17
ND2562.48
ND4002.68.7
ND5122.79
ND10003.010
ND20003.311
ND40003.612
ND80003.913
ND160004.214
ND320004.515
ND640004.816
ND1000005.016.7

Related guides

ND Filter Long Exposure Chart

The full chart: base exposure → shutter time for every filter, printable.

Read →

Depth of Field Calculator

Pair your long exposure with the right aperture for the scene.

Open →

Worked example

Say you're shooting a waterfall at 1/125 s and want silky motion blur. Stack an ND1000 (10 stops): 1/125 × 2¹⁰ = 8.2 seconds — set the calculator to ND1000 and it shows exactly that. The pattern to internalize: every 3 stops ≈ 8× the shutter time (ND8 at 1/125 → ~1 s), every 10 stops ≈ 1000×. That's why ND64 (6 stops) is the "moving water at dusk" filter and ND1000 (10 stops) is the "bright midday" filter. Shooting in aperture priority, the camera meters through the filter, so the calculator's real job is telling you before you compose whether the resulting time is 2 s (nice streaks) or 30 s (cotton-candy water).

🎒 Want this as a laminated field card? The ShutterMath Field Kit has all six, print-ready.

Related tools & guides

Video ND Filter Calculator

ND stops for the 180° shutter at any frame rate.

Open →

ND Filter Long Exposure Chart

The full stops reference table.

Open →

Long Exposure Photography Guide

Timing, filters and technique.

Open →

ND filter FAQ

Why does shutter time double with every stop?

Each ND stop halves the light reaching the sensor, so the shutter must stay open twice as long to record the same exposure: 1/60 s at 1 stop becomes 1/30 s, 1/15 s, 1/8 s… With a 10-stop ND1000, a 1/60 s base becomes 1/60 × 2¹⁰ = ~17 s.

What ND strength should I buy first?

ND64 (6 stops) or ND1000 (10 stops) are the two most useful. ND64 suits moving water at mid-day; ND1000 is the classic choice for long exposures of 15–30 s in daylight.

Does stacking two filters add their stops?

Yes — optical densities add, so ND8 (3 stops) + ND64 (6 stops) = 9 stops total. Watch for vignetting and color cast when stacking.

ND filter chart: stops to shutter speed

Short answer: each stop doubles the exposure time. A 10 stop filter multiplies a 1/15 s exposure by 1024, which is 68 seconds. A 3 stop filter turns 1/60 s into 1/8 s.

Exposure multiplication for each ND strength. The name is the transmission, so ND1000 passes 1/1000 of the light.
StrengthFilter nameLight factor1 s becomes1/15 s becomes
1 stopND22x2 s1/8
2 stopsND44x4 s1/4
3 stopsND88x8 s0.5 s
4 stopsND1616x16 s1 s
5 stopsND3232x32 s2 s
6 stopsND6464x1 min4 s
7 stopsND128128x2 min9 s
8 stopsND256256x4 min17 s
9 stopsND512512x9 min34 s
10 stopsND10001024x17 min1 min
13 stopsND80008192x137 min9 min
15 stopsND3200032768x546 min36 min

Filter names and stops are often confused. ND8 is 3 stops, not 8. ND1000 is 10 stops, and some makers label it ND3.0 or 10 stop. The number after ND is the transmission factor, and stops = log2(factor).

Stacking filters adds stops: a 6 stop and a 3 stop together give 9 stops, a factor of 512. Add the stops, never the filter names. Vignetting and colour cast grow with the stack, so prefer one strong filter.