In a nutshell
- The shutter angle describes the shutter speed in relation to the frame rate.
- We choose different frame rates for film and video because of the effects that result from high and low fps.
- Certain shutter angels create specific moods and tones for shots.
Shutter angle is a term derived from an understanding of the basic function of cameras that create images using photographic emulsion as a recording medium. In order to explain what a shutter angle is, we must first discuss the mechanics of the film-based camera system. There is a basic correlation between frame rate and the rotation speed of a camera’s mirror shutter. It is important to note that much of the way a contemporary digital cinema camera operates is based on the rudimentary function of film cameras and their film transport systems.
The mechanics
There are four essential components of a film transport system in traditional cinema cameras: a movement, a gate and a rotating shutter with a rotating mirror. Each of these components must function in synchronization as film moves from the magazine, through the camera, is exposed to light in the gate and gathers back in the magazine for removal.
The movement consists of a motor transport system that uses a series of sprockets on a drum system. This drum effectively pushes or pulls a load of film through the camera–across the gate — a rectangular opening that exposes film to light.
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The camera uses a rotating shutter to control the interval in which light can strike the film when moving through the open gate. Think of the shutter as a disk, like a pie, with a “slice” that can be adjusted for its size; the bigger the slice, the more the light can strike the film plane during exposure. The slice must be timed so, as each new frame of film is presented in the gate, exposure happens in a fraction of a second before the shutter opening rotates out of position. At this time, a new frame is advanced into the gate, while the previous frame moves through the remainder of the movement toward the take-up reel inside the magazine. The frame rate governs the duration the light strikes the film.
In the interval, while the shutter is rotating in and out of position, exposing each new frame, a rotating mirror, moving in sync with the shutter, allows for direct viewing of the image through the lens via a beam splitter. As the mirror alternates with the shutter, the image appears to flicker inside the viewing system of the film camera. Theaters implement a similar process when projecting a film.
The frequency of the flicker relates to the speed with which each frame is moved into position, exposed or projected and then advanced through the system on a reel. This persistence of vision is the basis for the film-like quality demonstrated by digital cinema cameras that capture video images via 24p.
Effective shutter speed
The frame rate is the timed interval the film transports through the gate. We use two primary frame rates when recording with film or digital video. Film cameras traditionally record at a rate of 24 frames per second (fps). At this rate, the human eye perceives motion in a rapid succession of individual images projected onto a screen. Subject motion appears normal, with a minimum of image blur, while lip flap appears to match the audio we hear associated with the images. Video systems record and playback at a slightly quicker 30 fps. This is related to the field scanning rate of television, which happens in odd and even lined intervals inside of 1/60 of a second. This field recording technique is known as interlacing.
In each circumstance, a shutter angle is associated with the given fps. At 24 frames per second, the standard shutter angle for film cameras is 172.8 degrees, as it relates to rotation. At 30 fps, the associated shutter angle for video playback is 180 degrees. Since the difference in exposure compensation between the two angles is so minimal, the 180 degree setting is considered normal and often used interchangeably between the two frame rates.
Given the frame rate and the rotation of the mirror/shutter assembly, an effective shutter speed can be derived. Since the mechanism has two conditions — open and closed — the effective shutter speed becomes a factor of two times the frame rate. In essence, at 24 fps, our camera’s effective shutter speed correlates with 1/48 second when paired with a 180-degree shutter angle. At 30 fps, the effective shutter speed is 1/60 second. At these speeds, an appropriate amount of inherent motion can be frozen, with a minimum amount of image blurring. This occurs as a subject moves in correlation to the shutter opening and closing during exposure. Photographers must pay particular attention to this principle, as it dictates how clear a subject appears in a single, captured image while that subject is in motion. The faster the shutter speed, the clearer that moving subject appears.
What about different frame rates?
So, we choose different frame rates for film and video because of the effects that result from high and low fps. At high frame rates, images appear recorded in slow motion. This is because the recorded images are captured at rates double, triple or greater than the normal 24 fps. At recording rates of 48 frames per second and higher, images slow down when played back at 24p. Conversely, images recorded at rates slower than 24p will result in exaggerated motion that appears faster than normal when played back at 24p. The effective shutter speed occurring at 48 fps is 1/96 second. At 60 fps, the effective shutter speed is 1/120 second. At 100 fps, the effective speed becomes 1/200 second.
Effective shutter speed can be calculated using the following formula:
Frame rate multiplied by 360, divided by the angle in degrees, is equal to the effective shutter speed.
Written as: (FPS X 360) / 180 degrees = effective shutter speed (ESS)
As an example, if we plug in some numbers, we see the relationship.
- (24 FPS X 360) / 180 Deg = 1/48 second
- (48 FPS X 360) / 180 Deg = 1/96 second
- (60 FPS X 360) / 180 Deg = 1/120 second
- (120 FPS X 360) / 180 Deg = 1/240 second
In each of the above situations, in order for the shutter disk to be clear of the gate for exposure at high frame rates, it must be in sync with the fps. Thus, the higher effective shutter speed.
Can this be applied to shooting using a green screen? Typical motion blur can create headaches for VFX artists doing chromakey replacements. In these circumstances, a crisper image helps to cut a cleaner matte. High effective shutter speeds freeze more subject motion, reducing image blur around the edges of elements.
Practical applications
When image blur must be curtailed — as in shooting green screen elements, but the frame rate stays at 24 fps for the sake of sound recording — how do we calculate the necessary shutter angle?
We can calculate the shutter angle using the following formula:
The project frame rate, times 360 and then divided by the shutter speed, equals the new angle.
In other words: (PFR X 360) / ESS = Angle
Let’s plug in some faster shutter speeds for freezing action.
- (24 X 360) / (1/48) = 180 degrees
- (24 X 360) / (1/60) = 144 degrees
- (24 X 360) / (1/96) = 90 degrees
Using this method, we can freeze motion better for cutting in our plates. However, there is a caveat one must consider. At narrower shutter angles, a subject in motion can appear jittery on screen. This is the strobe effect and can be very disconcerting for the audience. For this reason, choose narrow, skinny shutter angles with caution.
The strobe phenomenon can be an effective tool to imply moods or tones like adrenaline. The D-day scene from “Saving Private Ryan” (1998) uses the effect effectively. Director Steven Spielberg and cinematographer Janusz Kaminski used the “skinny” shutter effect was used to accentuate the feelings of anxiety, fear and adrenal rush soldiers experienced in the WWII invasion of Normandy.
If a faster shutter speed is derived from a narrow shutter angle, then the opposite is also true. At wider shutter angles, effective shutter speeds slow down. This results in a dreamy or smeared look to images in motion within the frame. Photographers refer to this as “dragging” the shutter. Objects in motion will blur dramatically with regard to their apparent motion. A classic example of this is the scene from Wong Kar-wai’s “Chungking Express” (1994), where the hero chases his adversary through a busy Chinese market.
The electronic cinema correlation
The term electronic shutter describes the electronic process of controlling exposure time in a digital cinema camera using a CMOS imaging sensor. Many modern digital cinema cameras can adjust the equivalent of an electronic shutter angle. In typical cases, the camera does not have an actual rotating mechanical shutter. Rather, the adjustment controls the duration of time that the electronic image sensor is energized with the light from an exposure to record video. Because there is no need to mechanically advance film in a video camera, the shutter can be adjusted to fully open — 360 degrees — and/or can be open for the entire interval period. In this way, we can use electronic shutter angle as an exposure balancing option outside the traditional variables of F-stop and ISO described in the exposure triangle.