Fraso / nomograms

Photography

Hyperfocal distance

Focal length and aperture against the near limit of a deep focus.

A hyperfocal distance nomogram: three vertical scales, f (20 to 200) on the left, H (0.627 to 985.2) in the middle and N (1.4 to 22) on the right. A straight line laid across any two scales cuts the third at the value that satisfies H = f² ÷ (N · c).200180160140120100908070605045403630272420fmm1.41.622.32.633.4456789101214162022Nf/985.270050030020014010070503020141075321.410.627Hm

Readings

mm
f/
m

Drag the red line, or type into any two boxes — the third is solved. The marked box is the one being solved for.

Print at 100% scale, then check the 100 mm bar with a rule before trusting a reading.

Why this one is an instrument

The useful question in the field is never "what is the hyperfocal distance" on its own — it is how much depth you buy by closing down two stops, and whether that is worth the shutter speed. The focal-length scale is squared, so it moves twice as fast as the aperture scale, and seeing that asymmetry directly is the whole lesson: changing lens costs you far more than changing aperture.

Equation
H = f² ÷ (N · c)
Constants
c = 0.029 mm (35 mm format)
Ranges
f 20–200 mm · N 1.4–22 f/
Reading
Any two values fix the third. Outside the printed ranges the instrument stops being valid — that is what the end marks are for.

These are drawn from the stated equation and nothing else. Where an equation is itself an approximation — hyperfocal distance and tap drill sizes both are — the instrument inherits that approximation exactly, no better and no worse.