Calculators·Exposure & Light Values

Extension Factor Calculator.

Calculate precise aperture adjustments for extension tubes, filters and converters – so your exposure stays right even with extra gear.

The factor becomes a number of stops, which becomes a concrete recommendation for aperture, ISO or shutter speed.

  • Logarithmic
  • With examples
  • All accessory types
  • Stackable

Aperture Stops Extension Factor Calculator

Calculate aperture adjustments for extension factors with extension tubes, filters and converters

Input parameters

>1 = light loss (extension tubes), <1 = light gain (filters/converters)

Used to calculate the new aperture after adjustment

Calculation basis:

  • Formula: aperture stops = ln(extension factor) ÷ ln(2)
  • Factor > 1: open aperture (smaller f-number)
  • Factor < 1: close aperture (larger f-number)
  • 1 stop = doubling/halving of the amount of light
  • Each stop = √2 times difference in aperture value

Results

What are extension factors?

  • Measure of light change caused by additional equipment
  • Extension tubes: factor > 1 (light loss)
  • ND filters: factor < 1 (light loss)
  • Teleconverters: factor < 1 (light loss)
  • Calculation enables precise exposure correction
Basics

Extension factors and stops.

Extension factors describe how the amount of light changes due to extra gear – the ratio of available light with and without the accessory.

Factor ranges

What the factor tells you.

  • Factor = 1: no change in light
  • Factor > 1: less light at the sensor
  • Factor < 1: light reduction by filter
  • Factor = 2: light is halved (1 stop)
  • Factor = 4: light quartered (2 stops)
Typical applications

Where factors come from.

  • Extension tubes: for macro photography
  • ND filters: for long exposures
  • Polarisers: for reducing reflections
  • Teleconverters: for extending focal length
  • Close-up filters: for close-up shots

Exposure compensation via: aperture (depth-of-field effect), ISO (noise effect), shutter speed (motion blur) or a combination of all three.

Mathematical foundation

From factor to stops.

A logarithmic conversion turns the linear extension factor into photographic stops – the language you can dial in directly on the camera.

stops = ln(extension factor) ÷ ln(2)
Logarithmic conversion of the linear factor into photographic stops.
f_new = f_old × √2^stops
Aperture adjustment based on the calculated number of stops.
Example

Extension tube with factor 4.

Stops = ln(4) ÷ ln(2) = 1.386 ÷ 0.693 = 2 stops

From f/5.6 → f/2.8 (open up 2 stops to compensate for light loss)

Alternative: ISO 100 → 400, or shutter speed from 1/125 s → 1/30 s.

Reference values

Extension factors of typical gear.

A quick overview for common filters, converters and tubes – so you don't need the calculator for every standard case.

GearExtension factorStopsAdjustment
12 mm extension tube~2×+1 stopOpen the aperture by 1 stop
Macro extension tube set~4×+2 stopsOpen the aperture by 2 stops
ND filter 1 stop0.5×−1 stopClose the aperture by 1 stop
ND filter 3 stops0.125×−3 stopsClose the aperture by 3 stops
Polariser~0.25×−2 stopsClose the aperture by 2 stops
1.4× teleconverter~0.5×−1 stopClose the aperture by 1 stop
2× teleconverter~0.25×−2 stopsClose the aperture by 2 stops
Close-up filter +2~1.5×+0.6 stopsOpen slightly
Pro tips

Five hints from practice.

Measure factors precisely
Take test shots with and without the accessory at the same settings. The histogram shows the real difference in brightness.
Auto vs. manual
The camera's auto mode often doesn't compensate correctly for extreme extension factors. Manual calculation is more precise.
Stacked accessories multiply
When combining accessories (e.g. extension tube + filter) the extension factors multiply.
Use bracketing
When unsure about the factors, shoot with ±1 stop bracketing around the calculated exposure.
Use live view
The live-view display shows the actual exposure and helps with fine-tuning the calculated values.
Worked examples

Three typical scenarios.

From macro setups to long exposure to wildlife – this is what the maths looks like in the real world.

Example 1

Macro with extension tubes

Situation: 25 mm extension tube on a 100 mm macro lens, extension factor = 3.5

Calculation: ln(3.5) ÷ ln(2) = 1.8 stops

Correction: aperture from f/8 → f/4 (open about 2 stops)

Alternative: ISO 200 → 800 or 1/60 s → 1/15 s.

Example 2

Landscape with ND filter

Situation: ND 3.0 filter (10 stops), extension factor = 0.001

Calculation: ln(0.001) ÷ ln(2) = −10 stops

Correction: shutter speed from 1/125 s → 8 s.

Result: long exposure with motion blur for water or clouds.

Example 3

Wildlife with teleconverter

Situation: 2× teleconverter, extension factor = 0.25

Calculation: ln(0.25) ÷ ln(2) = −2 stops

Correction: ISO from 400 → 1600 (increase 2 stops)

Benefit: double the focal length at acceptable noise increase.

FAQ

Answers to common questions.

From tool to skill

Solid photography knowledge.

Calculators give you the number. On the blog and in 1:1 coaching I turn theory into results you can see in your images.

Fotograf, Martin Fernando Mera Kleinheinz · Franz-Bork-Straße 21, 30163 Hannover · 0179 4085397