Bellows Draw Magnification Ratio Table

Generate a magnification table for all bellows extension lengths

Produce a table of magnification ratios, effective aperture, and exposure compensation in stops across a range of bellows extensions for a given lens focal length. A ready reference for macro studio work. Runs in your browser. It runs free in your browser on Gera Tools, with nothing uploaded.

Last updated Source: Gera Tools

How is bellows magnification calculated?

Magnification equals the bellows extension beyond infinity divided by the lens focal length. A 100 mm lens drawn out an extra 100 mm reaches 1.0 times, or 1:1 life-size reproduction.

When you rack a lens out on a bellows for macro work, two things change together: the subject grows on film or sensor, and the image dims. This tool prints a single reference table that ties bellows draw to magnification, reproduction ratio, effective aperture, and the exact exposure compensation in stops.

The bellows factor and why it matters

Photographers moving from close-focus accessories to a dedicated bellows unit quickly discover that their light meter gives incorrect exposures. The reason is geometric: as you extend the lens further from the film or sensor, the cone of light spreads over a larger image circle. The same aperture opening now illuminates a bigger area, so the light per unit area on the film drops. A meter reading taken through the lens automatically accounts for this, but an incident meter, a flash meter, or a studio strobe set manually does not.

The correction factor (sometimes called the bellows factor or exposure factor) is:

(magnification + 1) squared

At 1:1 that is (1 + 1)^2 = 4, which is exactly two stops. At 2:1 it is (2 + 1)^2 = 9, roughly three and a half stops. The table this tool generates gives you the exact stop value at every extension step so you can adjust flash power or shutter speed without guessing.

How it works

Using the thin-lens relations, with extension measured beyond the infinity-focus position:

magnification m   = extension / focal length
reproduction      = 1 : (1 / m)
effective f-number= marked f-number × (m + 1)
exposure stops    = 2 × log2(m + 1)

The (m + 1) term is the bellows factor: it is 1 at infinity, 2 at life-size, and keeps growing the deeper you go into macro territory.

Worked reference table (100 mm lens at f/8)

Extra extensionMagnificationReproductionEffective f-stopExposure add
50 mm0.5x1:2f/12+1.17 stops
100 mm1.0x1:1f/16+2.00 stops
150 mm1.5x3:2f/20+2.64 stops
200 mm2.0x2:1f/24+3.17 stops

These are clearly illustrative figures for a 100 mm lens. Generate your own table in the tool above for whichever focal length you use most, then tape a printed copy inside your macro kit.

Example and tips

A 100 mm lens at f/8 reaches 1:1 (1.0 times) at 100 mm of extra draw, where the effective aperture is f/16 and you must add two full stops. Build your table once for the lens you use most and tape it to the standard. For hand-held flash macro, the added stops translate directly into needing more flash power or a wider base aperture; through-the-lens metering already compensates, so this table is mainly for manual and large-format setups.