K is a calibration constant and is composed of three basic parts: light loss in an optical system, characteristics of the exposure meter particularly the spectral characteristic of the photo cell, and a basic constant that is determinant in exposure placement. The meter is calibrated to a known Luminance value and is connected to the film exposure through film speed and K. In use, differences in the target Luminance are compensated with the exposure calculator and the reciprocal nature of the shutter and f-Stop relationship.
According to section 4.1.1 in the ANSI standard, “The instrument-computer combination shall be calibrated in accordance with the formulas in Table 1.
The exposure constants K and C may be assigned values in accordance with Table 1 unless the design parameters differ from the assumptions explained in Appendix C. In this case, new values may be computed as outlined…The manufacture may choose the value which results in optimum exposure for the most critical film, usually color film.”
Please note that some of the values in the example are slightly off due to rounding.
Table 1 basically uses eq. 1 in the below example for reflected exposure meters. To find the value of L, the equation can be reduced down by using Sunny 16 where the shutter speed is the reciprocal of the film speed (eq. 2). 16^
2 = 256 and K = 12.5, the value for L = 3200 cd/m^
2 (eq. 3).
Now plug 3200 into the camera exposure equation excluding shutter speed and the general exposure value for Eg, eq. 4, is around 8.12. Include the shutter speed for keeping the reciprocal of a 125 speed film, and the resulting exposure for Hg = 0.065 lxs (eq. 5). The final three equations define what Hg should be for each film speed. Eq. 6 uses a target at 800 cd/m^
2. By opening up the aperture by two stops, H
g remains at 0.065 lxs.
No matter what the exposure meter is aimed at, it will want to make an exposure H
g = 8/ISO speed.
Here is an excerpt from Appendix C1 in the ANSI standard for proof.
Appendix C1 Exposure Parameters (excerpt)
In order for a meter to be used to set a camera to the proper exposure, the following relationship is assumed to exist:
H
g / H
m = constant (for B&W 125 speed: 0.064 / 0.0064 = 10)
(for color reversal, was 0.064 / 0.064 = 1, current 0.064 / 0.080 = 0.8)
To write this relationship in a usable form to obtain the film exposure in the camera in terms of American National Standard film speed. Thus,
H
g = K
1 / S
x (100 8/100 = 0.080 125 8/125 = 0.064 400 8/400 = 0.020)
(K
1 = 8), (K
1 is what Connelly denotes as P) (K`
1 is the variable in the K equation)
This factor K
1 has been determined experimentally by psychometrically selecting the “preferred exposure” for scene types, light levels, and camera and meter types covering the ranges normally encountered. It’s value for the purpose of designing a specific exposure control is dependent upon three variables:
1. The spectral characteristics of the photodetector
2. The photographic effectiveness of the scene illuminator
3. The distribution of luminance levels in the scene as measured by the detector