The guide number is a contrivance--it's made up!
Engineers, technicians and their ilk have electrical, mechanical and optical theories and models and equations and big fancy computers to actually calculate things like power to light flux vs distance, and the ideal guide number, but who of us
Photographers has the time to think about that when the scene of a lifetime presents itself in our viewfinders? {Well, I do, but I got too much time on my hands and lots of letters from a fancy university after my name, and I get paid to do that thinking. But...)
The important points are these: light intensity 'falls off' (it gets dimmer as you move away from the source) as the square of the distance. F-stops, i.e. aperture values follow the same mathematical sequence. Flashes are fast so shutter speeds don't generally matter but aperture does. It's much easier to calculate a guide number with a tape measure , an aperture setting and a calibrated light meter than all those fancy theories and mathematics--so that's how it's done.
Because it's done this way, we need only the camera, flash, a tape measure and some simple math.
There are two math formulas to remember. The first will require simple multiplication and division. The second uses square roots so you may need a calculator. You will use the first equation a lot more than the second-that's good, right?!?!?!
Here is the first equation: Guide Number (GN) divided by distance equals aperture. You must have a GN
in meters if the distance is in meters or a GN
in feet if the distance is in feet. Aperture doesn't have any named units. Distance is indicated on the barrel of most lenses; usually in both feet and meters.
This distance is the camera to subject focus distance and the same as the flash to subject distance if and only if the flash is mounted on the camera. (Yeah, on camera flash is bad; carry a carpenters tape measure for off camera flash.)
There are two other forms of this equation: GN/f-stop=distance and f-stop*distance=GN. This is simple algebraic manipulation. Examples will follow.
Film/sensor speed affects guide number; along the same sequence as f-stops-and hard to remember. Most manufacturers give the GN in distance units at some ISO. Some, like Pentax, provide a daunting table of numbers with two speed ratings and a host of other settings----you really need only the manual settings chart! {Truthfully, there is a third equation to handle the zoom function. It's complicated, make a copy of the chart from the manual, listing all the GNs for zoom values. Laminate it. Keep it with your flash.}
You can use the second formula to get a GN at any speed from a GN at some speed. Here is the second formula: GN2=GN1*squareroot(Speed2/Speed1).
Let's do some examples.
For the 360 flash the manual GN table is on page 31. Somewhere in the manual for the camera it says that the 1.5 magnification factor for the sensor size difference with respect to 35mm film needs to be accounted for. Let's ignore it for the moment; we can use the LCD/histogram to make 'on-the-fly' adjustments and this stuff doesn't need great precision.
Mount every bodies favorite 50mm f/1.4 lens and the iso 100 guide numbers are:
full power 30
1/2 21
1/4 15
1/8 10.5
1/16 7.5
1/32 5.4
These are in meters; multiply them by 39.37/12 (3.28) to get GN in feet.
Put your subject 9.5 feet away--that's about 2 meters. By power setting here are the f-stops (aperture values):
full 30/2=about f/15
1/2 21/2=about f/11
1/4 15/2=about f/8
1/8 10.5/2=about f/5
1/16 7.5/2=about f/3
1/32 5.4/2=about f/2.5
I made my subject a friends face. F/8 is nice for faces so I need 1/4 power. Shoot, check your preview/histogram. Before you change power try moving a small step forward to make the subject brighter, backward to make it dimmer----it doesn't need to be precise!
Again, by power settings I'll change GNs@iso 100 to GNs@iso 400--you can look on page 31 to check the accuracy:
full power 30 30*sqrt(4/1)=60 {sqrt(4/1)=sqrt(4)=2}
1/2 21 21*2=41
1/4 15 15*2=30
1/8 10.5 10.5*2=21
1/16 7.5 7.5*2=15
1/32 5.4 5.4*2=10.8
Some considerations: GNs are optimistic-a polite way of saying inflated! Step forward 1-3 small steps in most cases-preview/histogram/bracket by stepping forward(/backward) in increments. As a flash ages the circuitry and the flashtup deliver less pop. In general all the other techno-babble in the manual will reveal that the extra features cause the flash to generate less output---smaller GNs! Still, the light physics don't change because of the extra functionality--when in doubt "GO MANUAL!"
PS: I could clean this up if somebody will tell me how to make nice neat columns in those tables above.
John