Super 16 crop factor and field of view calculator

A Super 16 sensor measures 12.52 by 7.41 mm, a diagonal of 14.55 mm. Against the full-frame diagonal of 43.27 mm that is a crop factor of 2.974.

The diagonal divided by this gives the acceptable blur circle. 1500 is the usual modern figure.

Crop factor
2.9740
≈ Rounded Super 16 sensor
Full-frame equivalent focal length
104.09
Equivalent aperture for depth of field
8.327
Sensor diagonal
14.548
Sensor area
92.77 mm2
Full frame gathers this many times more light
9.313
Horizontal field of view
20.281 degrees
Vertical field of view
12.085 degrees
Diagonal field of view
23.482 degrees
Hyperfocal distance
45 143
Depth of field
396
Frame width at the subject
1.073
Show the working
  1. Focal length = 35
  2. Aperture f-number = 2.8
  3. Subject distance = 3
  4. Circle of confusion divisor = 1500
  5. sensor_w = 12.52 = 12.52
  6. sensor_h = 7.41 = 7.41
  7. Sensor diagonal = hypot(12.52, 7.41) = 14.5485
  8. Crop factor = 14.5485 > 0 ? 43.266615305567875 / 14.5485 : 0 = 2.973 96
  9. Full-frame equivalent focal length = 35 * 2.973 96 = 104.089
  10. Equivalent aperture for depth of field = 2.8 * 2.973 96 = 8.327 09
  11. Sensor area = 12.52 * 7.41 = 92.7732
  12. Full frame gathers this many times more light = 92.7732 > 0 ? 864 / 92.7732 : 0 = 9.313 03
  13. Horizontal field of view = deg(2 * atan(12.52 / (2 * 35))) = 20.2811
  14. Vertical field of view = deg(2 * atan(7.41 / (2 * 35))) = 12.0853
  15. Diagonal field of view = deg(2 * atan(14.5485 / (2 * 35))) = 23.4819
  16. coc = 14.5485 / 1500 = 0.009 698 99
  17. Hyperfocal distance = 35^2 / (2.8 * 0.009 698 99) + 35 = 45 142.8
  18. near = 3*1000 * 45 142.8 / (45 142.8 + (3*1000 - 35)) = 2815.1
  19. far = 3*1000 < 45 142.8 ? 3*1000 * 45 142.8 / (45 142.8 - (3*1000 - 35)) : 1e9 = 3210.89
  20. Depth of field = 3210.89 >= 1e9 ? 1e9 : 3210.89 - 2815.1 = 395.79
  21. Frame width at the subject = 35 > 0 ? 3 * 12.52 / 35 : 0 = 1.073 14

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • crop factor = full-frame diagonal / sensor diagonal
    • field of view = 2 arctan(sensor dimension / 2 focal length)
    • hyperfocal distance = f^2 / (N c) + f
    • equivalent aperture = aperture x crop factor, for depth of field and total light

    Crop factor changes the framing, not the lens. A 50 mm lens is always a 50 mm lens; it just sees a smaller rectangle.

    Equivalent aperture matters for depth of field and total light gathered, not for exposure. An f/2.8 lens meters as f/2.8 on any format.

    The circle of confusion is a judgement about acceptable sharpness at a viewing size, not a physical constant.

    Equivalent focal lengths on Super 16

    Lens Full-frame equivalent
    12 mm 35.7 mm
    16 mm 47.6 mm
    24 mm 71.4 mm
    35 mm 104.1 mm
    50 mm 148.7 mm
    85 mm 252.8 mm
    135 mm 401.5 mm
    200 mm 594.8 mm

    Frequently asked

    What is the crop factor of a Super 16 sensor?

    2.974, calculated from its 14.55 mm diagonal against full frame at 43.27 mm.

    Does a crop sensor make a lens longer?

    No. The lens projects the same image; the smaller sensor simply records a smaller part of it, which looks like a longer lens.

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