I learned to apply the Reciprocal Rule to avoid blurry images when I started shooting social events. At that point, I began to use more telephoto and zoom lenses to capture candid moments from a distance. I wanted to have as many tac sharp photos as possible for my clients, and I had to learn how to do it fast.

Most people shoot their cameras hand-held. Even professional photographers rarely bring a tripod everywhere. So one of the biggest challenges of hand-held photography is yielding sharp images. Especially when using zoom or telephoto lenses. Most beginners and some intermediate hobby photographers struggle to understand the source of this problem. The main cause is camera shake.

The Reciprocal Rule will help you yield sharp photos when you shoot hand-held.

About the Reciprocal Rule

The human body cannot stay completely still for long periods. This is especially true when holding something like a camera in our hands. So when we take pictures while hand-holding a camera, the micro-movements of our body introduce unwanted blur to our photos. That is why we use the Reciprocal Rule to avoid said blur.

Unfortunately, the Reciprocal Rule is often misunderstood. For example, the “greater half” of “photographers” may say something like this:

“There is a relationship between the focal length of the lens and the shutter speed of the camera. To avoid blurry images due to camera shake, you should always shoot at shutter speed reciprocal to the focal length of your lens.”

300mm | f/5,6 | 1/60 sec | ISO 200

300mm | f/5,6 | 1/60 sec | ISO 500

300mm | f/5,6 | 1/320 sec | ISO 1250

Unfortunately, this is not exactly true.

Imagine, for example, that you are shooting a landscape at a 15mm focal length, and it is getting late and dark. You have forgotten your tripod, and you have to shoot hand-held. The above-stated reciprocal rule mandates that you shoot at 1/30th of a second. But the average minimum shutter speed at which an image does not get blurry when hand-holding the camera is about 1/60th of a second. See the problem?

Understanding Focal Length and Shutter Speed

So what is that mysterious relationship between focal length and shutter speed? The correct answer is that there isn’t one. There is no direct physical relationship between the two. More often than not, they are separate things. However, there are a few indirect relationships that will help for the Reciprocal Rule to start making sense in a bit.

Focal Length

The focal length is a physical (optical) property of the lens. It is the distance between the optical center of the lens, where the light converges, and the projection plane – the camera’s sensor (film plane). The distance is measured in millimeters, and lenses are named according to their focal length.

The focal length is the distance between the optical center of a lens and the camera sensor.

One of the things the focal length determines is how large an element will appear within the frame. When using longer focal lengths, subjects appear larger than when viewed with our eyes.

Angle of View vs. Field of View

Another thing that depends on the focal length is the Angle of View. In other words, what portion of the scene can the lens capture. Shorter focal lengths have wider AOV than longer focal lengths. That is why subjects appear smaller in the frame than we see with our eyes.

This effect is magnified when you put that same (full-frame) lens on a body with a crop sensor. This is because a smaller sensor will affect the lens’s Field of View, determined by its Equivalent Focal Length.

The Importance of Equivalent Focal Length

Finding the equivalent focal length of the lens you are using is not that hard. If you use a crop sensor body, you need to multiply the lens’s focal length by the sensor’s crop factor. So, hypothetically, if you have a Canon EOS M50 body and want to find out the EFL of the 70-200mm lens mentioned above, you must do some simple math. The crop factor of the M50 is 1.6, so you will have 70 × 1.6 = 112mm, and 200 × 1.6 = 320mm. Therefore the 70-200mm lens effectively becomes 112-320mm.

I will not get into lengthy discussions of this topic now because I will discuss the topic of Equivalent Focal Length, how the sensor’s crop factor affects it, and the Field of View of a lens in another post very soon.

Shutter Speed

The camera shutter is a curtain that stays closed until you fully press the shutter button. At that point, the curtain opens and exposes the camera sensor to the light passing through the lens. The curtain closes after a specific exposure time, and the light stops hitting the sensor. Therefore, slower shutter speeds allow the sensor to gather more light, and the image will be brighter. Conversely, faster shutter speeds allow less light to hit the sensor, and the resulting image will be darker.

The shutter speed is the time between the opening and the closing of the curtain. It is one of the ways that we use to control the amount of light that hits the sensor. If the shutter speed you choose is too fast or too slow, the image may not be properly exposed.

While the curtain is open, the camera sensor records all the light passing through the lens. Therefore, when the shutter speed is low (the curtain stays open for longer), the moving subjects in the frame will be blurry. Slower shutter speeds can be used intentionally as a tool for artistic expression in certain situations and have a tripod on hand. However, if you hand-hold the camera, you can introduce camera shake to your pictures.

Using fast shutter speed will freeze the motion.

Fast Shutter Speed

The result of a slow shutter speed is a blurry image.

Slow Shutter Speed

We measure shutter speeds in seconds or fractions of a second. For example, the slowest shutter speed I feel comfortable shooting without introducing much blur due to camera movement is about 1/125 (one-hundred-and-twenty-fifth) of a second or about eight milliseconds.

Some cameras can handle faster speeds like 1/4000th or even 1/8000th of a second and faster. However, there is a limit to how quickly the curtain can open and close. The lower speeds on the other end of the spectrum typically go up to 30 seconds. So you can use even longer shutter speeds when you set your camera to Bulb if the situation requires it.

There are, of course, a few exceptions. An example is leaf shutter lenses, where the shutter speed is a component of the lens. Such lenses are mainly used with medium format cameras, and here I will only address full-frame and crop sensor cameras.

Camera Shake

So how does all this relates to camera shake?

To quote Severus Snape, the causes for camera shake like “The Dark Arts are many, varied, ever-changing and eternal.” It can be something as basic as shaking hands, improper hand-holding, or vibrations caused by the camera shutter and mirror (if you have not gone mirrorless). Yet, the most common reason for your hand-held pictures to be blurry is simple and easily remedied. The answer is too low shutter speed, or should I say lower-than-acceptable.

Angular Rotation

When taking pictures of far-away objects at long focal lengths, the leading cause for image blur is angular movement, also known as camera shake or lateral rotation.

For example, when your right hand moves in while your left hand moves out, everything rotates about a line that goes through the center of the lens. This happens quite often when you shoot hand-held. However, a minute rotation at longer focal lengths causes more significant shifts of the projected image on the camera sensor than shorter focal lengths.

Camera shake occurs due to shifts in pitch, yaw, rotation, or changes in the XY position of the camera body and lens setup.

For example, a 1° rotation of the camera while shooting at 200mm focal length causes about a 3.5mm shift of the projected image on the sensor. If you are taking the photo, say, at 1/60th of a second, this may result in an unusable image. Why? Because while the camera shutter is open, the sensor will capture the movement.

When the camera rotates about an axis, each point of the focus plane rotates about the Optical Center of the lens following an arc. Now, let’s consider a line that goes from the optical center of the lens to a point on the arch mentioned above. The rotation angle can be expressed by the ratio of the distance that line travels from point A to point B while rotating about the optical center or Δs and the distance of the point from the center of the arc — Δθ = Δs / r.

Looking at the image above, you can see that points A and B are on the same line and rotate by the same angle — Δθ. Yet, the linear distance between A and A1 (ΔS1) is shorter than the distance between B and B1 (ΔS2). This is because point B is at a greater distance from the center (r1) than point B (r2).

Hence, any change in the position of a point resulting from camera motion (shake) is amplified when using a long focal length lens. Combine that with the narrower Angle of View, and a seemingly imperceptible camera movement may result in a noticeable image blur.

Now imagine paying $2,799 for a Canon RF 70-200mm L/2.8L IS USM lens to pair with your Canon EOS R full-frame body. It is a fantastic, fast telephoto lens with excellent zoom capabilities. However, when you start shooting with it, you have to remember a couple of things. First, the lens’s focal length will change when you zoom in. Therefore, the Angle of View (which in this case is the same as the Field of View of the lens) will go from 34° (degrees) at 70mm to 12° (degrees) at 200mm (according to Canon’s lens’ specs). So if the 70mm lens has a 100m diagonal Angle of View, the 200mm lens will have a 35m Diagonal Angle of View. Then if the subject moves 1m, it will be a 1% change across the shorter lens’ field of view but approximately 3% change across the longer lens’ field of view.

The combination of a longer focal length and a narrower Angle of View is that a slight change in the camera orientation will result in a blurry image. If you have such a lens, you have probably noticed that looking through the viewfinder may be a bit nauseating when you are zoomed in to the maximum. The reason is that camera movement is magnified when you use lenses with longer focal lengths.

Applying the Reciprocal Rule When Shooting

As you already know, blur can be a useful artistic tool, when applied intentionally. However, tons of images are ruined by unintentional. To avoid it at longer focal lengths while hand-holding the camera, you must adjust your shutter speed to freeze the frame. The Reciprocal Rule is a guideline established during the days of the film camera. It gives a decent starting point as to the shutter speed you need to use to avoid the result of camera shake.

A Couple Things to Consider

If you employ a decent hand-holding technique, the Reciprocal Rule suggests that your base shutter speed should be one over the focal length. So, when shooting at 100mm, you should consider a minimum shutter speed of 1/100th of a second.

On the other hand, if you hold the camera incorrectly, you may need to increase the shutter speed even more to counteract camera shake. Weather conditions and equipment weight can also affect camera shake. If you are shooting outside in very windy conditions, your whole body may be moving slightly. When using a heavier setup, your hands will get tired faster, which will result in camera shake. If you aspire to be a wildlife photographer or sports photographer, you check out the article on Photographing Hand-Held with Telephoto Lenses by Thomas Stirr.

A Few Tips For Holding the Camera

Here I have listed a couple of tips that will help you improve your holding technique and reduce camera shake.

  • Make sure that you hold the camera’s grip with your right hand and put your left hand underneath the lens.
  • Tuck your elbow on the side of your chest, especially if you are using a heavier lens. In this way, you will have more support, and the weight of the camera will be more evenly distributed throughout your whole body.
  • Aim for at least three support points for the camera — left hand, right hand, and eye. Adjust the camera strap so there is a bit of tension when you put the camera to your eye. It will help you limit the camera movement when you shoot.
  • Try to spread your legs a bit (to shoulder length) and stand comfortably. Many people feel more stable if they assume a staggered stance — left foot slightly in front of the right.

EFL

Keep in mind the Equivalent Focal Length which depends on whether you are using a full-frame lens on a crop sensor body. If you do, you will need to multiply the sensor’s crop factor by the lens’s focal length to determine your minimum recommended shutter speed.

Image Stabilization

Look at your lens and see if it has image stabilization — IS (also known as vibration reduction — VR). If it does, you have a bit of leeway with the shutter speed. IS/VR reduces camera shake in a couple of ways. IBIS (in-body stabilization) physically moves the sensor to compensate for camera movement. Most newer lenses have IS/VR built-in, where some of the elements inside the lens move to reduce shake.

Find out how many stops your lens is rated for (usually 2–4 for Canon and Nikon lenses), and you can reduce your shutter speed by ½ for each stop of stabilization. I prefer to stick to the Reciprocal Rule even when I use stabilized lenses and lower my shutter speed only if absolutely necessary.

Camera Sensor

You may have to consider the resolution of your camera sensor when picking the shutter speed at which you are shooting. Pictures taken with higher resolution camera sensors are more susceptible to blur due to camera shake. The more pixels you cram in the same physical space, the more likely the images are not sharp at 100% zoom. To compensate for a high-resolution sensor, you may need to increase the shutter speed.

Lens Built

To get tac sharp images, you will need not only high shutter speed but good quality glass. This is even more important if you are using a high-resolution camera.

Distance to Subject and Size

If you are trying to take a picture of a tiny subject at a very long distance, you will need to dramatically increase the shutter speed if you want to see sharp details at 100% zoom.

Aperture and ISO

Things are great when you can or want to use equal or faster than the “minimum” shutter speed. But what happens when it is too dark and you cannot use fast shutter speeds? You can do a couple of things, but you need to remember that “There is no free lunch.”

One thing you can do is to increase the aperture to let in more light. If you are lucky enough to have a lens like the Canon RF 70-200mm L/2.8L IS USM, you can probably do that, but if you only have the Canon EF 70-300mm f/4-5.6 IS II USM, you are not that lucky. Plus, opening the aperture too much at longer focal lengths may create some issues with focus hunting.

Another thing you can do is play with the ISO. To compensate for low light, you can up the ISO and keep the same aperture and shutter speed. However, this will introduce more noise to your photo.

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