Are all 50mm lenses equivalent?

So a 50mm lens is a 50mm lens, is a 50mm lens, right? Well that’s not exactly true. The focal length of a 50mm lens is always 50mm, regardless of the system it is associated with. The focal length of a lens is independent of the camera system. So a 50mm lens on an SLR will have the same focal length as a 50mm lens on a DSLR, which is the same as one on an APS-C sensor, or a medium-format sensor. What is different is how they behave in terms of angle-of-view (AOV), with respect to a particular sensor size.

Fig.1: 50mm lenses all have the same focal length

Table 1 shows the behavioural differences of 50mm lenses on various systems. For example a 50mm lens from a 35mm rangefinder camera has a (horizontal) AOV of 39.6°, whereas the AOV of an APS-C camera, is 26.6°. This is because due to crop-factors, a 50mm lens on an APS-C sensor is equivalent to a 75mm on a full-frame camera (from an AOV perspective). To get a 39.6° equivalent AOV on an APS-C camera, you need roughly a 33mm lens – but the closest lens to this is a 35mm APS-C lens (35mm×1.5≈52mm).

SystemAOV (diag)AOV (hor)Crop-factorFF equiv.
16mm cine14.5°11.7°×3.4170mm
1″ sensor18.2°14.6°×2.7135mm
Micro-Four Thirds24.5°19.6°×2.0100mm
APS-C31.7°26.6°×1.575mm
film SLR46.8°39.6°×1.050mm
film rangefinder 46.8°39.6°×1.050mm
digital SLR (full-frame)46.8°39.6°×1.050mm
digital Medium (44×33mm)57.4°47.5°×0.840mm
6×7 (72×56mm)84°67.6°×0.525mm
4×5”117°104°×0.2713.5mm
Table 1: Differences in 50mm lenses used on different systems

Note that because a 50mm lens on a Micro-Four-Thirds camera behaves like a 100mm FF lens, most manufacturers won’t sell a native 50mm MFT lens, opting instead for the 50mm FF equivalent – the 25mm. That’s because a 25mm MFT lens provides the “normal” angle-of-view, just like a 35mm APS-C lens, or a 100mm 6×7 lens. A vintage 50mm SLR lens used on an APS-C camera will behave like it was designed for APS-C, i.e. it will have a horizontal AOV of around 26.6°. The remaining 6.5° either side is just cut off because of the smaller sensor (as shown in Figure 2).

Fig.2: A visualization of what a 50mm lens sees on different sensors.

Invariably, all focal lengths are treated similarly. A 35mm is always 35mm, an 85mm is always 85mm. It’s just their behaviour, or rather their “view on life”, that changes.

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