Exposure value

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In photography, exposure value (EV) denotes all combinations of camera shutter speed and relative aperture that give the same exposure. The concept was developed in Germany in the 1950s (Ray 2000), in an attempt to simplify choosing among combinations of equivalent camera settings. Exposure value also is used to indicate an interval on the photographic exposure scale, with 1 EV corresponding to a standard power-of-2 exposure step, commonly referred to as a “stop.”^[1]

Exposure value was originally indicated by the quantity symbol $E v$ ; this symbol continues to be used in ISO standards, but the acronym EV is now more common elsewhere.

Fast shutter speed, short exposure

Slow shutter speed, long exposure

Although all camera settings with the same exposure value nominally give the same exposure, they do not necessarily give the same picture. The exposure time (“shutter speed”) determines the amount of motion blur, as illustrated by the two images at the right, and the relative aperture determines the depth of field.

1 Formal definition
2 EV as an indicator of camera settings
3 Tabulated exposure values
4 Setting EV on a camera
5 Meter indication in EV
6 Relationship of EV to lighting conditions
7 EV and APEX
8 EV as a measure of luminance and illuminance
9 Notes
10 References
11 Further reading
12 See also
13 External links

[edit] Formal definition

Exposure value is a base-2 logarithmic scale defined by

$\mathrm {EV} = \log_2 {\frac {N^2} {t} }$

where

$N$ is the relative aperture (f-number)

$t$ is the exposure time (“shutter speed”)

EV 0 corresponds to an exposure time of 1 s and a relative aperture of $f$ /1.0. If the EV is known, it can be used to select combinations of exposure time and f-number, as shown in Table 1.

Each increment of 1 in exposure value corresponds to a change of one “step” (or, more commonly, one “stop”) in exposure, i.e., half as much exposure, either by halving the exposure time or halving the aperture area, or a combination of such changes. Greater exposure values are appropriate for photography in more brightly lit situations, or for higher film speeds.

[edit] EV as an indicator of camera settings

Table 1. Exposure times, in seconds^*, for various exposure values and `f`-numbers (ISO independent)
EV	`f`-number
EV	1.0	1.4	2.0	2.8	4.0	5.6	8.0	11	16	22	32	45	64
−6	60	2 m	4 m	8 m	16 m	32 m	64 m	128 m	256 m	512 m	1024 m	2048 m	4096 m
−5	30	60	2 m	4 m	8 m	16 m	32 m	64 m	128 m	256 m	512 m	1024 m	2048 m
−4	15	30	60	2 m	4 m	8 m	16 m	32 m	64 m	128 m	256 m	512 m	1024 m
−3	8	15	30	60	2 m	4 m	8 m	16 m	32 m	64 m	128 m	256 m	512 m
−2	4	8	15	30	60	2 m	4 m	8 m	16 m	32 m	64 m	128 m	256 m
−1	2	4	8	15	30	60	2 m	4 m	8 m	16 m	32 m	64 m	128 m
0	1	2	4	8	15	30	60	2 m	4 m	8 m	16 m	32 m	64 m
1	1/2	1	2	4	8	15	30	60	2 m	4 m	8 m	16 m	32 m
2	1/4	1/2	1	2	4	8	15	30	60	2 m	4 m	8 m	16 m
3	1/8	1/4	1/2	1	2	4	8	15	30	60	2 m	4 m	8 m
4	1/15	1/8	1/4	1/2	1	2	4	8	15	30	60	2 m	4 m
5	1/30	1/15	1/8	1/4	1/2	1	2	4	8	15	30	60	2 m
6	1/60	1/30	1/15	1/8	1/4	1/2	1	2	4	8	15	30	60
7	1/125	1/60	1/30	1/15	1/8	1/4	1/2	1	2	4	8	15	30
8	1/250	1/125	1/60	1/30	1/15	1/8	1/4	1/2	1	2	4	8	15
9	1/500	1/250	1/125	1/60	1/30	1/15	1/8	1/4	1/2	1	2	4	8
10	1/1000	1/500	1/250	1/125	1/60	1/30	1/15	1/8	1/4	1/2	1	2	4
11	1/2000	1/1000	1/500	1/250	1/125	1/60	1/30	1/15	1/8	1/4	1/2	1	2
12	1/4000	1/2000	1/1000	1/500	1/250	1/125	1/60	1/30	1/15	1/8	1/4	1/2	1
13	1/8000	1/4000	1/2000	1/1000	1/500	1/250	1/125	1/60	1/30	1/15	1/8	1/4	1/2
14		1/8000	1/4000	1/2000	1/1000	1/500	1/250	1/125	1/60	1/30	1/15	1/8	1/4
15			1/8000	1/4000	1/2000	1/1000	1/500	1/250	1/125	1/60	1/30	1/15	1/8
16				1/8000	1/4000	1/2000	1/1000	1/500	1/250	1/125	1/60	1/30	1/15

* An appended ‘m’ indicates exposure time in minutes.

[edit] Tabulated exposure values

An exposure meter may not always be available, and using a meter to determine exposure for some scenes with unusual lighting distribution may be difficult. However, natural light, as well as many scenes with artificial lighting, is predictable, so that exposure often can be determined with reasonable accuracy from tabulated values.

Table 2. Exposure values (ISO 100 speed) for various lighting conditions^[2]

Lighting Condition	EV₁₀₀
Daylight
Light sand or snow in full or slightly hazy sunlight (distinct shadows)^a	16
Typical scene in full or slightly hazy sunlight (distinct shadows)^a,b	15
Typical scene in hazy sunlight (soft shadows)	14
Typical scene, cloudy bright (no shadows)	13
Typical scene, heavy overcast	12
Areas in open shade, clear sunlight	12
Outdoor, Natural light
Rainbows
Clear sky background	15
Cloudy sky background	14
Sunsets and skylines
Just before sunset	12–14
At sunset	12
Just after sunset	9–11
The Moon,^c altitude > 40°
Full	15
Gibbous	14
Quarter	13
Crescent	12
Moonlight, Moon altitude > 40°
Full	−3 to −2
Gibbous	−4
Quarter	−6
Aurora borealis and australis
Bright	−4 to −3
Medium	−6 to −5
Outdoor, Artificial Light
Neon and other bright signs	9–10
Night sports	9
Fires and burning buildings	9
Bright street scenes	8
Night street scenes and window displays	7–8
Night vehicle traffic	5
Fairs and amusement parks	7
Christmas tree lights	4–5
Floodlit buildings, monuments, and fountains	3–5
Distant views of lighted buildings	2
Indoor, Artificial Light
Galleries	8–11
Sports events, stage shows, and the like	8–9
Circuses, floodlit	8
Ice shows, floodlit	9
Offices and work areas	7–8
Home interiors	5–7
Christmas tree lights	4–5

Values for direct sunlight apply between approximately two hours after sunrise and two hours before sunset, and assume front lighting. As a rough general rule, decrease EV by 1 for side lighting, and decrease EV by 2 for back lighting
This is approximately the value given by the sunny 16 rule.
These values are appropriate for pictures of the Moon taken at night with a long lens or telescope, and will render the Moon as a medium tone. They will not, in general, be suitable for landscape pictures that include the Moon. In a landscape photograph, the Moon typically is near the horizon, where its luminance changes considerably with altitude. Moreover, a landscape photograph usually must take account of the sky and foreground as well as the Moon. Consequently, it is nearly impossible to give a single correct exposure value for such a situation.

Exposure values in Table 2 are reasonable general guidelines, but they should be used with caution. For simplicity, they are rounded to the nearest integer, and they omit numerous considerations described in the ANSI exposure guides from which they are derived. Moreover, they take no account of color shifts or reciprocity failure. Proper use of tabluated exposure values is explained in detail in the ANSI exposure guide, ANSI PH2.7-1986.

The exposure values in Table 2 are for ISO 100 speed (“EV₁₀₀”). For a different ISO speed, increase the values by the number of exposure steps by which the speed is greater than ISO 100, formally^[3]

$\mathrm{EV}_{S} = \mathrm{EV}_{100} + \log_2 \frac {S} {100}$

For example, ISO 400 speed is two steps greater than ISO 100:

$\mathrm{EV}_{400} = \mathrm{EV}_{100} + \log_2 \frac {400} {100} = \mathrm{EV}_{100} + 2$

To photograph outdoor night sports with an ISO 400–speed imaging medium, find the tabular value of 9 and add 2 to get EV₄₀₀ = 11.

For lower ISO speed, decrease the values by the number of exposure steps by which the speed is less than ISO 100. For example, ISO 50 speed is one step less than ISO 100:

$\mathrm{EV}_{50} = \mathrm{EV}_{100} + \log_2 \frac {50} {100} = \mathrm{EV}_{100} - 1$

To photograph a rainbow against a cloudy sky with an ISO 50–speed imaging medium, find the tabular value of 14 and subtract 1 to get EV₅₀ = 13.

[edit] Setting EV on a camera

On most cameras, there is no direct way to transfer an EV to camera settings; however, some medium-format cameras from Rollei (Rolleiflex, Rolleicord models) and Hasselblad allowed EV to be set on the lenses. The set EV could be locked, coupling shutter and aperture settings, such that adjusting either the shutter speed or aperture made a corresponding adjustment in the other to maintain a constant exposure. Use of the EV scale on Hasselblad cameras is discussed briefly by Adams (1981, 39).

Many current cameras allow for exposure compensation, and usually state it in terms of EV. In this context, EV refers to the difference between the indicated and set exposures.

[edit] Meter indication in EV

Some light meters (e.g., Pentax spot meters) indicate directly in EV at ISO 100. Some other meters, especially digital models, can indicate EV for the selected ISO speed. In most cases, this difference is irrelevant; with the Pentax meters, camera settings usually are determined using the exposure calculator, and most digital meters directly display shutter speeds and $f$ -numbers.

Recently, articles on many web sites have used light value (LV) to denote EV at ISO 100. However, this term does not derive from a standards body, and has had several conflicting definitions.

[edit] Relationship of EV to lighting conditions

The recommended f-number and exposure time for given lighting conditions and ISO speed are given by the exposure equation

$\frac {N^2} {t} = \frac {L S} {K}$ ,

where^[4]

$N$ is the relative aperture (f-number)
$t$ is the exposure time (“shutter speed”)
$L$ is the average scene luminance
$S$ is the ISO linear speed
$K$ is the reflected-light meter calibration constant

Applied to the right-hand side of the exposure equation, exposure value is

$\mathrm {EV} = \log_2 {\frac {L S} {K} }$

Camera settings also can be determined from incident-light measurements, for which the exposure equation is

$\frac {N^2} {t} = \frac {E S} {C}$

where

$E$ is the illuminance
$C$ is the incident-light meter calibration constant

In terms of exposure value, the right-hand side becomes

$\mathrm {EV} = \log_2 {\frac {E S} {C} }$

When applied to the left-hand side of the exposure equation, EV denotes actual combinations of camera settings; when applied to the right-hand side, EV denotes combinations of camera settings required to give the nominally “correct” exposure. The formal relationship of EV to luminance or illuminance has limitations. Although it usually works well for typical outdoor scenes in daylight, it is less applicable to scenes with highly atypical luminance distributions, such as city skylines at night. In such situations, the EV that will result in the best picture often is better determined by subjective evaluation of photographs than by formal consideration of luminance or illuminance.

Note that for a given luminance and film speed, a greater EV results in less exposure, and for fixed exposure (i.e., fixed camera settings), a greater EV corresponds to greater luminance or illuminance.

[edit] EV and APEX

Main article: APEX system

The Additive system of Photographic EXposure (APEX) proposed in the 1960 ASA standard for monochrome film speed, ASA PH2.5-1960, extended the concept of exposure value to all quantities in the exposure equation by taking base-2 logarithms, reducing application of the equation to simple addition and subtraction. In terms of exposure value, the left-hand side of the exposure equation became

EV = TV + AV

where TV (time value) and AV (aperture value) were defined as:

TV = - log 2 (t)

AV = 2log 2 (N)

the numbers of stops from 1 second and f/1, respectively.

Use of APEX required logarithmic markings on aperture and shutter controls, however, and these never were incorporated in consumer cameras. With the inclusion of built-in exposure meters in most cameras shortly after APEX was proposed, the need to use the exposure equation was eliminated, and APEX saw little actual use.

[edit] EV as a measure of luminance and illuminance

For a given ISO speed, exposure value can be used as a measure of luminance. Common practice among photographic equipment manufacturers is to express luminance in EV for ISO 100 speed (e.g., when specifying metering range or autofocus sensitivity). The relationship between EV and luminance also depends on the calibration constant $K$ ; values vary slightly among manufacturers; a common value is 12.5 (Canon, Nikon, and Sekonic^[5]) The relationship between EV at ISO 100 and luminance then is

L = 2 EV - 3

Values of luminance at various values of EV using this relationship are shown in Table 3.

For a given ISO speed, EV also can be interpreted as a measure of illuminance. As with luminance, common practice among photographic equipment manufacturers is to express illuminance in EV for ISO 100 speed (e.g., when specifying metering range^[6]).

As with luminance, the relationship between EV and illuminance also depends on the calibration constant $C$ . The situation is more complicated than that for reflected-light meters, because the calibration constant depends on the sensor type. Two sensor types are common: flat (cosine-responding) and hemispherical (cardioid-responding). Illuminance is measured with a flat sensor; a typical value for $C$ is 250 with illuminance in lux. The relationship between EV at ISO 100 and illuminance then is

$E = 2.5 \cdot 2^{\mathrm {EV}}$

Values of illuminance at various values of EV using this relationship are shown in Table 3.

Although illuminance measurements may indicate appropriate exposure for a flat subject, they are less useful for a typical scene in which many elements are not flat and are at various orientations to the camera. For determining practical photographic exposure, a hemispherical sensor has proven more effective. With a hemispherical sensor, typical values for $C$ are between 320 (Minolta) and 340 (Sekonic) with illuminance in lux. If illuminance is interpreted loosely, measurements with a hemispherical sensor indicate “scene illuminance.”

Exposure meter calibration is discussed in detail in the Light meter article.

Table 3. Exposure value vs. luminance (ISO 100, K = 12.5) and illuminance (ISO 100, C = 250)

EV	Luminance, cd/m²	Illuminance, lx
−4	0.008	0.156
−3	0.016	0.313
−2	0.031	0.625
−1	0.063	1.25
0	0.125	2.5
1	0.25	5
2	0.5	10
3	1	20
4	2	40
5	4	80
6	8	160
7	16	320
8	32	640
9	64	1280
10	128	2560
11	256	5120
12	512	10,240
13	1024	20,480
14	2048	40,960
15	4096	81,920
16	8192	163,840

[edit] Notes

^ In optics, the term “stop” properly refers to the aperture itself, while the term “step” refers to a division of the exposure scale. Some authors, e.g., Davis (1999), prefer the term “stop” because they refer to steps (e.g., on a step tablet) that are other than powers of 2. ISO standards generally use “step,” while photographers normally use “stop.”
^ Exposure values in Table 2 are taken from ANSI exposure guides PH2.7-1973 and PH2.7-1986; where the two guides differ, ranges of values have been given or extended. The ANSI guides were derived from studies by L.A. Jones and H.R. Condit, described in Jones and Condit (1941), Jones and Condit (1948), and Jones and Condit (1949).
^ If base-2 logarithms are not available, the base-2 logarithm can be computed using common logarithms

$\log_2 x = \frac {\log x} {\log 2}$

or natural logarithms

$\log_2 x = \frac {\ln x} {\ln 2}$
^ Symbols for the quantities in the exposure equation have varied over time; the symbols used in this article reflect current practice for many authors, such as Ray (2000).
^ Specifications for Sekonic light meters are available on the Sekonic web site under “Products.”
^ The metering range for an incident-light meter specified in EV at ISO 100 usually applies to a hemispherical sensor, so strictly speaking, it is not a measure of illuminance

[edit] References

Adams, Ansel. 1981. The Negative. Boston: New York Graphic Society. ISBN 0-8212-1131-5

ANSI PH2.7-1973. American National Standard Photographic Exposure Guide. New York: American National Standards Institute. Superseded by ANSI PH2.7-1986

ANSI PH2.7-1986. American National Standard for Photography — Photographic Exposure Guide. New York: American National Standards Institute

ASA PH2.5-1960. American Standard Method for Determining Speed of photographic Negative Materials (Monochrome, Continuous Tone). New York: United States of America Standards Institute

Davis, Phil. 1999. Beyond the Zone System, 4th ed. Boston: Focal Press. ISBN 0-240-80343-4

Jones, Loyd A., and H. R. Condit. 1941. The Brightness Scale of Exterior Scenes and the Computation of Correct Photographic Exposure. Journal of the Optical Society of America 31:11, Nov. 1941, 651–678

———. 1948. Sunlight and skylight as determinants of Photographic exposure. I. Luminous density as determined by solar altitude and atmospheric conditions. Journal of the Optical Society of America 38:2, Feb. 1948, 123–178

———. 1949. Sunlight and skylight as determinants of Photographic exposure. II. Scene structure, directional index, photographic efficiency of daylight, safety factors, and evaluation of camera exposure. Journal of the Optical Society of America 39:2, Feb. 1949, 94–135

Ray, Sidney F. 2000. Camera Exposure Determination. In The Manual of Photography, 9th ed. Oxford: Focal Press. ISBN 0-240-51574-9

[edit] Further reading

Eastman Kodak Company. Existing-Light Photography, 3rd ed. Rochester, NY : Silver Pixel Press, 1996. ISBN 0-87985-744-7

[edit] See also

[edit] External links

Doug Kerr's The Additive System for Photographic Exposure (PDF)
Fred Parker's table of exposure values for various lighting situations

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