Photography math that knows your camera

Depth of field, hyperfocal distance, ND filter times, flash guide numbers, astro pixel scale โ€” calculated with the exact sensor of the camera you own, not a generic preset. 100% free forever: no sign-up, no watermarks, no limits.

Calculators โ€” free forever, no account needed

Focus & depth of field

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Depth of Field

Near/far limits, total DoF, hyperfocal distance, and a visual focus bar. Knows your exact sensor.

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Hyperfocal Distance

Focus here and everything from half that distance to infinity is sharp โ€” the landscape number.

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Macro DoF

Depth of field at 1:1 and beyond โ€” effective aperture and the exact focus-stacking step size.

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Exposure & light

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Exposure Equivalence

EV + equivalent exposures: change aperture, shutter, or ISO and keep the identical brightness.

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ND Filter

Exact shutter time for any filter โ€” ND2 to ND100000 โ€” with exposure compensation built in.

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Flash Guide Number

Solve aperture, distance, or required GN โ€” with ISO scaling for speedlights and strobes.

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Astro & night sky

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Star Trails (500/NPF)

The max shutter time for sharp stars, using your camera's real pixel size and aperture.

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Astro Pixel Scale

Arcseconds per pixel for any camera + lens โ€” and the 1โ€“2โ€ณ/px sweet spot for sharp stars.

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Field of View

Horizontal, vertical and diagonal angles for any sensor and lens โ€” with 35 mm equivalent.

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Video & print

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Shutter Angle

The 180ยฐ rule computed: shutter angle โ†” speed for any frame rate, 24 to 120 fps.

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Video ND Filter

Exactly how many ND stops you need for the 180ยฐ shutter in daylight โ€” and which filter to grab.

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Print Resolution

How big can you print? Pixels, DPI and print size โ€” with the megapixel print chart.

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Why ShutterMath?

๐Ÿ†• Modern camera database

Most online DoF calculators stopped updating their camera lists a decade ago. Ours includes the bodies you can actually buy in 2026 โ€” mirrorless, DSLR, and phones.

๐Ÿงฎ Standard, accurate formulas

Hyperfocal H = fยฒ/(Nยทc) + f with the standard circle-of-confusion convention (sensor diagonal รท 1500). Every result is printable.

๐Ÿ’พ Built to return

Save camera + lens setups in your browser, share result links, print cheat sheets for your bag. Your settings are there next time โ€” no account needed.

Popular guides โ€” reference charts & how-tos

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Hyperfocal Distance Chart

Printable charts for full frame and APS-C โ€” find your hyperfocal distance without touching a calculator.

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ND Filter Long Exposure Chart

Base exposure โ†’ final shutter time for every common filter strength.

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Exposure Triangle Explained

Aperture, shutter, ISO โ€” what each does, how they trade off, and which to change first.

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Shutter Speed Chart

The right shutter speed for every subject โ€” birds to waterfalls to video.

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Long Exposure Guide

Silky water and light trails: the full settings workflow with ND math.

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Low Light Settings

Noise vs blur โ€” the ISO/shutter/aperture strategy with real EV numbers.

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Circle of Confusion Explained

What CoC means, why calculators disagree, and which standard you should use.

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Camera Sensor Sizes Compared

Full frame vs APS-C vs Micro 4/3 vs phone: dimensions, crop factors, and what changes.

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DoF for Landscape

Hyperfocal, focus stacking, and the f-stop sweet spot for maximum sharpness.

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DoF for Portraits

How much background blur do you actually need? Lens, distance, and aperture math.

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DoF for Macro

Magnification math, effective aperture, and the focus-stacking workflow.

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Astro Focus & DoF

Infinity focus done right, the f-ratio trade-off, and star-exposure rules.

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DoF for Sports

Freeze motion and keep a razor-thin sharp zone on a moving subject.

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Real Estate DoF

The f/8 rule, where to focus, and sharp interiors wall to wall.

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50mm DoF Table

Near and far limits for the most-owned lens on the planet, fully computed.

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85mm DoF Table

The portrait lens, computed: f/1.2โ€“f/8 at every distance.

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Aperture Explained

f-stops, light, depth of field โ€” and the best f-stop for every genre.

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Focal Length Explained

What 24/35/50/85 mm really mean, with angles of view.

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Crop Factor Explained

APS-C, M4/3 and phone equivalence โ€” computed for real cameras.

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Frequently asked questions

Are these calculators free?

Yes โ€” every tool on ShutterMath is free, runs entirely in your browser, and works offline once loaded. No accounts, no watermarks, no limits.

Why do results differ from other calculators?

The two usual culprits: the circle-of-confusion standard (we use the common diagonalรท1500 convention, applied from your camera's exact sensor size) and whether the formula adds the focal-length term. Our formulas are the standard published ones.

Can I print the results?

Yes. Every calculator page has a print button that produces a clean cheat sheet โ€” just the results and the formula reference, no navigation or controls.

Do you store my data?

No. Your setups are saved only in your own browser's local storage, and we use privacy-respecting analytics to understand which tools help people. See our Privacy Policy.