Guide number

A scene will be properly illuminated for every combination of fstop and distance shown on this flash device’s exposure calculation dial, each of which equals the same guide number.

The guide number here (full power setting, ISO 100, and normal-angle coverage) is 37 for calculations made in meters (yellow arrow) and 120 for feet (orange). For instance, on the foot scale, f/4 × 30 ft = 120, as do both f/8 × 15 ft and f/16 × 7.5 ft. In meters, f/1.4 × 26 m = 37 as do f/22 × 1.7 m and every combination between.

In photography, the guide number, or GN for electronic photoflash devices (lighting equipment also known as “studio strobes” and “speedlights”) is a measure of their ability to properly expose a scene. Guide numbers allow photographers to quickly calculate either the required fstop for any given flash-to-subject distance, or the required distance for any given fstop.

Guide numbers are calculated as follows:[1]

Guide number = f-number × distance

This simple relationship is well defined because the brightness of a flash declines with the square of the distance, but the amount of light admitted through an aperture decreases with the square of the f-number.[2]

Guide numbers are not an absolute measure of illuminating power because their values are influenced by other photographic variables, notably the camera’s ISO setting and flash coverage angle (for flash devices with zoom heads).[note 1] Moreover, guide numbers diminish if a photographer reduces the power setting on a flash device.

It is common for manufacturers to state guide numbers relative to a sensitivity of ISO 100.[3] If a flash device is rated at a higher sensitivity, say ISO 200, then its guide number increases by the square root of the difference.

For any given ISO setting and coverage angle, a flash device with a guide number that is, for instance, twice as great will permit subjects to be properly exposed from twice as far away for any given fstop, or conversely, will permit scenes at a given distance to be properly exposed at an fnumber twice as great.

Different models of flash devices available on the market have widely varying maximum-rated guide numbers.[note 2] Powerful flash devices (those with inherently greater guide numbers when compared at the same ISO sensitivity and coverage angle) are especially useful for outdoor photography because photographers can increase the maximum flash-to-subject distance when filling in shadows. See Flash fill: Guide numbers vs. distance, below. In large part, this is because the sun is such a bright, unadjustable light source against which a flash device must compete. However, a contributing factor is that many modern cameras with focal-plane shutters can sync with flash devices at speeds no faster than 1/60th of a second. Such a relatively long exposure requires particularly small apertures and/or low ISO sensitivities, both of which constrain how far a camera and its camera-mounted flash can be from an outdoor scene, even if it is in bright shade.

Understanding guide numbers

Units of measure

Guide numbers are a composite unit of measure comprising two factors: aperture ratio and distance. Guide numbers may be expressed in either of these units of measure: fnumber⋅meters or fnumber⋅feet.

Throughout most of the world where the metric system (SI) is observed, guide numbers are expressed as a unitless numeric value like 34, even though they are technically a composite unit of measure that is a two-factor product: fnumber⋅meters.[4] As such, guide numbers can be reduced either to distance in meters or to fstops depending on how one uses the guide number in a calculation.

In the U.S. however, photographers typically measure distances in feet and require guide numbers scaled accordingly. To serve the U.S. market, manufacturers of flash devices typically provide foot-based guide numbers and add nomenclature such as feet, ft, or the foot symbol () to unambiguously denote that fact, e.g. Guide number: 92′.[5][note 3] Another common practice when flash devices are marketed in the U.S. is to provide two guide numbers—which can be expressed in a variety of formats—so distances and fnumbers may be calculated using either feet or meters, e.g. Guide number: 30 m/98 ft.[3]

Though nomenclature conventions such as these can make guide numbers misleadingly appear to be length-based units of measure, they serve as notations to eliminate ambiguity as to which length-based system of measurement underlies the guide numbers. As with metric-based guide numbers, foot-based guide numbers are a two-factor unit of measure except the units are fnumber⋅feet.

To convert a guide number given in meters to feet, divide by 0.3048. To convert a guide number given in feet to meters, multiply by 0.3048.

Calculating with guide numbers

It is easy to use guide numbers to calculate either an aperture or a flash-to-subject distance. Consider a flash device with the following rating, all of which are the same power:

28
28 DIN
28 meters/92 feet
28 (meters)/92 (feet)
28 (m)/92 (ft)
28 m/92 ft.
28 m/92′
28/92
92′

Suppose a photographer has a flash device with a guide number of 44 (m)/144 (ft),[note 4] sets the camera’s aperture to f/4, and wants to know the required flash-to-subject distance; he merely divides the guide number by 4. Thus, a subject 11 meters or 36 feet away will be correctly illuminated (GN44 (m)÷f/4=11 m, and GN144 (ft)÷f/4=36 ft). For the same guide number and an aperture of f/8, the light source must be 5.5 meters or 18 feet from the subject.

Alternatively, if one has an established flash-to-subject distance and wants to find the required f-number, one divides the guide number by the distance. Example: Guide number = 48 (m) and the distance is 6 meters; one needs and aperture of f/8 (GN48÷6 m=f/8).

Example for finding a distance

Suppose a photographer wants to shoot with an aperture of f/2.8 and the guide number is 28 (m)/92 (ft). The flash device must be 10 meters (33 feet) from the subject.

In metric: GN28÷f/2.8=10 m
In U.S. customary units: GN92÷f/2.8=33 ft

Example for finding an aperture

Suppose a photographer’s flash-to-subject distance is 9.75 meters (32 feet) and the guide number is 39 (m)/128 (ft). The aperture must be f/4.

In metric: GN39÷9.75 m=f/4
In U.S. customary units: GN128÷32 ft=f/4

Details

An incident-light meter measures the true luminous exposure (in lux⋅seconds) illuminating a scene.

Most modern flash devices can operate at guide numbers less than their maximum ratings via either manual adjustment of their power settings in binned steps, by an in-flash automatic light sensing feature, or by being cued by the camera’s sensor; both the latter options make continuously variable adjustments. Manual attenuation settings are usually steps in powers of 0.5 (full fstops) that commonly extend five to eight fstops deep (power levels of 1/2, 1/4, 1/8 .... 1/256). To calculate how reductions in power levels affect guide numbers, see Effect of power settings, below.

The following variables must necessarily affect guide numbers in order to calculate proper exposures:

  1. Those that affect the non-distance-related intensity of a flash arriving at a scene (a property called illuminance, measured in lux) or its duration. These are power settings, flash coverage angle, and color gels.
  2. Those that affect the camera’s non-aperture-related light sensitivity. These are lens filters and the ISO rating of the film/imaging sensor.

Changing either the fstop or the flash-to-subject distance does not affect guide numbers because, by definition, choosing a different value for one factor is automatically accompanied by a reciprocal adjustment in the other.

Shutter speeds do not factor into guide number calculations and, for the most part, have no effect on electronic flash exposures. See Effect of shutter speeds, below.

Guide numbers are not affected by scene reflectance. Guide numbers are solely a measure of the illuminance and duration of a flash (lux⋅seconds) arriving at a scene as measured by an incident-light meter (pictured at right), not the amount leaving the scene.[2] This often seems counterintuitive to hobbyists who incorrectly assume that cameras’ built-in reflected-light meters are a definitive measure of exposure. However, this principle underlies why using a camera with a through-the-lens meter to photograph a park bench surrounded by sunlit snow underexposes the image, making the bench appear nearly black and the snow as dark as grass and foliage. This is because reflected-light meters are calibrated for an average scene reflectance of 18 percent and can’t “know” when a scene has non-average reflectance. See also Gray card and Light meter.

Guide number distances are always measured from the flash device to the subject; if the flash device is detached from the camera, the position of the camera is irrelevant. Furthermore, unless a flash device has an automatic zoom feature that follows the setting of a camera’s zoom lens, guide numbers do not vary with the focal length of lenses.

Note that manufacturers of flash devices may provide guide numbers ratings specified relative to ISO 200, which increases them by 41 percent relative to those given at ISO 100.[6] When comparing flash devices, it is important to ensure that the guide numbers are given in the same ISO sensitivity, are for the same coverage angle, and reduce to the same unit of distance (meters or feet). When these three variables have been normalized, guide numbers can serve as an comparative measure of intrinsic illuminating power rather than merely a metric for calculating proper exposures for a given scene area and camera setup.

Effect of power settings

Most modern electronic flash devices have manually adjustable power settings. Moreover, virtually all modern camera-mounted flash devices that have manually adjustable power settings also provide either a built-in mechanical circular calculator (such as shown in the photo at the top of this article) or a digital display that automatically shows the effect power levels have on fstop and distance (guide number).

Nonetheless, to better understand the mathematical relationship between guide numbers and power levels, consider the following formula:

…where
is the numerator in the fraction of the power setting
is the denominator in the fraction of the power setting

The following is a step-by-step example of using the above formula: Suppose your full-power guide number is 48 (it is irrelevant if it is scaled for meters or feet for this purpose) and the flash device is set to 1/16th power. Divide 1 by 16 to obtain 0.0625. Take the square root of that (the button on a calculator), which equals 0.25, and multiply that by the guide number of 48 to obtain a reduced-power guide number of 12.0.

The mathematical relationship between guide numbers and power levels can also be understood using the below alternative formula, which is suitable whenever the numerator in the fractional power setting is 1 (which is usually the case with flash devices):

…where
is the denominator in the fraction of the power setting

Example: Suppose your full-power guide number is 51 and your flash device is set to 1/32nd power. Take the square root of 32 (the button on a calculator), which equals approximately 5.657. Divide 51 by 5.657 to obtain a reduced-power guide number of 9.0.

Effect of flash angle (zoom setting)

Many flash devices have auto- or manual-adjust zoom features that permit the illumination angle to be widened (lessening the guide number) to fully illuminate the image area of wide-angle lenses, or narrowed (increasing the guide number) for telephoto lenses. Such coverage angles may be given in degrees but are often expressed as being equivalent to lens focal lengths for full-frame, 35 mm cameras. Manufacturers’ advertising practices vary as to the angle of coverage underlying their guide number ratings, in large part because some flash devices can be zoomed whereas others are fixed.

Virtually all modern camera-mounted flash devices with zoomable flash heads also have either a built-in mechanical circular calculator (such as shown in the photo at the top of this article) or a digital display; both automatically show the effect zoom levels have on fstop and distance (guide number).

Nonetheless, when shopping for flash devices with zoom heads, it would certainly be helpful if it were possible to mathematically convert advertised guide numbers from one manufacturer’s flash angle (zoom level) to another manufacturer’s flash angle. This is because guide numbers are often—though not always—given at their most zoomed setting and not all flash devices can zoom to the same extent.[note 5]

Unfortunately, the optics of flash heads are complex; each manufacture’s designs not only have illumination areas that are slightly different, but are the product of differing relative proportions of transmission, diffusion, reflection, and refraction amongst their optical elements (flash tube, reflector, Fresnel lens, and add-on wide-angle adapter). Accordingly, there is no formula for precisely calculating how guide numbers diminish from, for instance, a 105 mm setting to 50 mm or 35 mm settings. One may consult the users guide for a specific flash device to obtain guide numbers for different zoom settings.

The below table illustrates the variation in guide numbers depending on zoom level for some select, relatively high-power zoom-capable flash devices.

VARIATION IN DECAY OF GUIDE NUMBER
VERSUS FLASH ANGLE (NORMALIZED TO 105 mm)
WITH SELECTED ZOOM-CAPABLE FLASH DEVICES
Flash
  angle
[A]
Vivitar 285 Sony
HVL-F58AM
Yongnuo
YN-568EX
Canon
430EX III-RT
Median
value
105 mm 100% 100% 100% 100% 100%
50 mm 86% 72% 72% 77% 75%
35 mm 71% 62% 67% 65% 66%
28 mm 50% 53% 52% 56% 53%

Note A) Flash angle is equivalent to the denoted lens focal length for a full-frame 35 mm camera.

Effect of filters

Filters reduce guide numbers regardless of whether they are gels placed over the flash device or are on a camera lens. For instance a typical polarizing filter, which attenuates 1–1.5 fstops, will diminish guide numbers to 71–60% of their unfiltered rating.

To calculate the required reduction in guide number, use the following formula:

…where equals the filter’s rated loss in fstops.

The following is a step-by-step example of using the above formula: Suppose your guide number is 32 (it is irrelevant if it is scaled for meters or feet for this purpose) and the rated loss of the filter is 1.5 fstops. Take 0.5 and raise it to the power of 1.5 (using the button on a scientific calculator), which equals roughly 0.35355. Take the square root of that (the button), which equals approximately 0.595, and multiply that by the guide number of 32 to obtain a filtered guide number of 19.0.

The below table provides some common filter values.

ATTENUATION OF
GUIDE NUMBERS
WITH FILTER LOSS
f-stop
loss
Factor f-stop
loss
Factor
1/3 89.1% 12/3 56.1%
1/2 84.1% 2 50.0%
2/3 79.4% 21/3 44.5%
1 70.7% 21/2 42.0%
11/3 63.0% 22/3 39.7%
11/2 59.5% 3 35.4%

When a flash device is set to manual (M) or automatic (A) exposure mode and is not being controlled via the camera’s through-the-lens metering (TTL), a convenient way to compensate for the effect of a lens-mounted filter is to set the ISO rating on a camera to a higher value than the flash device. For instance, if a polarizing filter attenuates by 1 fstop and the flash device is set to ISO 100, then the camera can simply be set to ISO 200. The extra camera sensitivity compensates for the loss due to the filter.

The formula governing this relationship is as follows:

…where equals the camera filter’s rated loss in fstops.

Here is a step-by-step example of using this formula: Suppose a filter attenuates by 11/3 fstops and the flash device is set to ISO 100. Take 2 and raise it to the power of 1.3333 (using the button on a scientific calculator), which is approximately 2.5198, and then multiply that by 100, which equals about 252. The nearest standard camera setting is ISO 250.

Effect of shutter speeds

Shutter speeds are not a factor in the calculation of guide numbers. For most modern cameras (those with focal-plane shutters), shutter speed has no effect on flash exposures.[note 6] See Shutter (photography) for more.

This is because even at the most powerful settings, flash durations seldom exceed a few milliseconds (thousandths of a second). With focal-plane shutters, a flash begins shortly after the shutter curtain has fully opened and must extinguish before the curtain begins to close. Selecting any shutter speed faster than the camera’s rated Xsync speed, which is often between 1/60th and 1/200th of a second (from as long as 16.7 milliseconds to as little as 5.0 milliseconds) causes the shutter curtain to begin wiping closed across the film or sensor before the flash has extinguished. When this happens, an underexposed, gradated band appears along an edge of the image—often trailing off darker towards the left or bottom.

Conversely, longer exposures also have no effect on guide number. After the flash has extinguished, longer shutter speeds will only increase the contribution from continuous ambient light, which can lead to ghosting with moving subjects. See also Flash synchronization.

Flash fill: Guide numbers vs. distance

When a flash device is used for filling in shadows (flash fill) in sunlit scenes, it is capable of doing so only at distances that are a function of its guide number. The maximum guide number of the flash device establishes the maximum possible distance at which it can be used.

The below tables show the distances at which deep shadows will be filled to one fstop less than the sunlit portions of the scene, which is a common fill level. The tables also assume a typical sunlit brightness equivalent to exposure value (EV) 15 (at ISO 100).

—METER BASED—
DISTANCE FOR A GIVEN GUIDE NUMBER (ISO 100) AT WHICH A FLASH DEVICE CAN
FILL SUNLIT SHADOWS ONE FSTOP DARKER THAN THE SUNLIT PORTIONS
(SUNLIGHT = EV 15 AT ISO 100) [Note B]
GN (m) 6.5 8 10 12 15 18 22 26 30 36 45 52 60 72 76
1/60th @ f/22 0.41 m 0.50 m 0.63 m 0.75 m 0.94 m 1.13 m 1.38 m 1.63 m 1.88 m 2.25 m 2.81 m 3.25 m 3.75 m 4.50 m 4.75 m
1/125th @ f/16 0.57 m 0.71 m 0.88 m 1.06 m 1.33 m 1.59 m 1.94 m 2.30 m 2.65 m 3.18 m 3.98 m 4.60 m 5.30 m 6.36 m 6.72 m
1/200th @ f/13 (f/11+⅓) 0.72 m 0.89 m 1.11 m 1.34 m 1.67 m 2.00 m 2.45 m 2.90 m 3.34 m 4.01 m 5.01 m 5.79 m 6.68 m 8.02 m 8.46 m
—FOOT BASED—
DISTANCE FOR A GIVEN GUIDE NUMBER (ISO 100) AT WHICH A FLASH DEVICE CAN
FILL SUNLIT SHADOWS ONE FSTOP DARKER THAN THE SUNLIT PORTIONS
(SUNLIGHT = EV 15 AT ISO 100) [Note B]
GN (ft) 21 26 33 39 50 60 72 85 100 120 148 170 200 236 250
1/60th @ f/22 1.3 ft 1.6 ft 2.1 ft 2.4 ft 3.1 ft 3.8 ft 4.5 ft 5.3 ft 6.3 ft 7.5 ft 9.3 ft 10.6 ft 12.5 ft 14.8 ft 15.6 ft
1/125th @ f/16 1.9 ft 2.3 ft 2.9 ft 3.4 ft 4.4 ft 5.3 ft 6.4 ft 7.5 ft 8.8 ft 10.6 ft 13.1 ft 15.0 ft 17.7 ft 20.9 ft 22.1 ft
 1/200th @ f/13 (f/11+⅓)  2.3 ft   2.9 ft   3.7 ft   4.3 ft   5.6 ft   6.7 ft   8.0 ft   9.5 ft   11.1 ft   13.4 ft   16.5 ft   18.9 ft   22.3 ft   26.3 ft   27.8 ft 

Note B) Bear in mind that the distances shown do not conform to the the fnumber × distance formula when using the fstops shown in the first column because the fill level is
one fstop less than the sunlit portions of the scene—an underexposure. The values can only be correctly calculated by hand when the apertures shown in the first column are
larger (numerically smaller fnumber) by one fstop. Those fstops, when expressed in industry-standard nomenclature, are f/16, f/11, and f/9 (f/8+⅓) but have the following
more precise values for calculating the above tables: f/16, f/11.3137, and f/8.9797.


As can be seen by referring to the above tables, if a photographer has a camera with an X-sync speed of 1/125th of a second, is shopping for a flash device, and desires the capability to fill shadows from up to four meters (13 feet) away, a flash device with a guide number of at least 45 (m)/148 (ft) will be required.

Note that increasing the ISO sensitivity of the camera will not increase the distances given in the tables because the extent to which ISO settings affect the exposure in the flash-filled areas of an image will equally affect the sunlit ones. A flash device can only fill shadows to 50% the brightness of the sun (1 fstop of attenuation) out to a certain distance; at a camera’s Xsync shutter speed, no change in ISO settings—and resultant fstop settings—can influence this proportional relationship.

See also

Notes

  1. Studio strobes in particular are often rated in watt⋅seconds, which is an absolute measure of illuminating power but is not particularly useful for calculating exposure settings.
  2. For example, amongst hot shoe-mounted speedlights, at ISO 100, 60° horizontal coverage angle (suitable for use with a 35 mm-format, full-frame lens with a 35 mm focal length), and full power, the Holga Holgon MF Flash has a guide number of 6.5 (m). Under the same conditions, both the Sony HVL-F58AM and the Metz mecablitz 64 AF-1 digital have guide numbers of 36 (m). And still under the same conditions, the side-mounted pistol grip-style Metz mecablitz 76 MZ-5 digital is rated at 45.5 (m).
  3. Bold typestyle is not a required convention for denoting guide numbers. Bolding is consistently used throughout this article to unambiguously distinguish the text and measures being discussed.
  4. The dual-scale format used for many examples of guide numbers within this article (similar to the practice observed by Metz mecatech GmbH and others) is purely a matter of style. It is used here not only because it is relatively compact, but because by observing the convention of enclosing the symbols for length within parentheses, it is clear they are notations as to the measurement system underlying the guide numbers and don’t misleadingly appear to be units of measure for length with their accompanying numeric magnitudes.
  5. Another not-uncommon marketing practice is to rate flash devices for a coverage angle suitable for use with a 35 mm-format, full-frame lens with a 35 mm focal length (a flash coverage angle of 60° horizontally).
  6. A notable exception to this generality is when a flash device at full power is used in combination with cameras equipped with leaf shutters set to very brief exposure times.

References

  1. B & H Foto & Electronics: Understanding Guide Numbers
  2. 1 2 Scantips.com: Understanding Flash Guide Numbers, plus GN Calculator
  3. 1 2 One notable way for expressing guide numbers scaled for use with both feet and meters (and relative to an ISO setting of 100) is as practiced by Metz mecatech GmbH, as exemplified by the data sheet for their mecablitz 52 AF-1 digital (product page here):

    Flash output
    • High max. guide number 52 (meters), High max. guide
    number 170 (feet) for ISO 100/21° and 105 mm

    Another notable example is Nikon’s practice for expressing the technical specifications of products marketed in the U.S., such as their SB-5000 AF Speedlight (product page here):

    Guide Number
    34.5 m/113 ft. (at 35 mm) 55
    m/180 ft. (at 200 mm) (FX
    format, standard illumination
    pattern) (at ISO 100)

    Yet another notable example is Canon USA’s practices, as exemplified by their Speedlite 430EX III-RT (product page here), which is as follows:

    Guide Number  The maximum Guide No. is approximately 141.1 ft./43m at ISO 100 and 105mm flash coverage.
  4. The style for expressing guide numbers throughout the metric-observing world is typified by the practices of Metz mecatecheh GmbH, as exemplified by the German-language version of their website for their mecablitz 76 MZ-5 digital (product page specifications here):

    Blitzleistung
    • Hohe max. Leitzahl 76 bei ISO 100/21° und 105 mm
    This translates to English as follows:
    Flash output
    • High max. guide number 76 at ISO 100/21 ° and 105 mm
  5. One example of using the single-prime (foot symbol) when marketing in the U.S. is as practiced by Bolt, which specifies the guide number of their VS 510P (product page here) as follows:

    The VS-510P Wireless TTL Shoe Mount Flash from Bolt is a dedicated TTL flash for use with Pentax & Samsung DSLR, mirrorless or point-and-shoot cameras. The VS-510 features a guide number of 141' at ISO 100 and an adjustable tilt head with five positions: 0 to 90°.

    Another notable example of how flash device guide numbers are communicated to the U.S. market is the large retailer, B & H Foto & Electronics (on-camera flash page here), which states guide numbers formatted like this example for Nissin’s i60A:

    • Guide Number: 197' at ISO 100 and 200mm
  6. Nikon, for instance, gives two ratings when providing the technical specifications for their SB-910 AF Speedlight, one of which is relative to ISO 200 (product page here):

    Guide Number
    34 m/111.5 ft. (at ISO 100,
    35mm zoom head position, in
    FX format, standard
    illumination pattern,
    20°C/68°F) to 48 m/157.5 ft.
    (at ISO 200, 35mm zoom
    head position, in FX format,
    standard illumination pattern,
    20°C/68°F)

Further reading

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