Where does the 24/35/50/85mm standard originate? Is it arbitrary?

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Why are the standard focal lengths for primes the following?...

24mm
35mm
50mm
85mm

I understand why they are spaced relatively evenly. But couldn't it just as practically be the following?...

20mm
32mm
47mm
80mm

Ultimately, it seems like the "standard" lengths are probably arbitrary in their origins. Probably the first person to pick the original standard focal length was making a technical decision, rather than an aesthetic decision.

History buffs... bring it on!
 
I've often wondered the same thing. I have 28, 50, 85, 135, and 200 primes. Macros tend to be 50 and 100 though. I noticed the trend of going up by 1.6, roughly the ratio of crop to full frame, so it was easy to think "just go one focal length up on a full frame from what I used on a crop". Why go up by 1.6 rather than, say, the square root of 2?
 
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Actually, it would (kind of) make sense if every next FL had around 2x smaller FoV, like:
12mm<17mm<24mm<35mm<50mm<70mm<100mm<135mm<200mm<300mm<400mm...
or
10mm<14mm<20mm<28mm<40mm<60mm<85mm<120mm<180mm<250mm<350mm<500mm...

If you compare fast Canon L primes
24/14~1.71 >> 1.71*1.71~2.92x
35/24~1.46 >> 1.46*1.46~2.13x
50/35~1.43 >> 1.43*1.43~2.04x
85/50=1.7 >> 1.7*1.7=2.89x
135/85~1.59 >> 1.59*1.59~2.53x
200/135~1.48 >> 1.48*1.48~2.19x
then you'll see that they are not evenly spaced. The FoV difference varies from around 2x to almost 3x.
 
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dirtcastle said:
Why are the standard focal lengths for primes the following?...

24mm
35mm
50mm
85mm

50mm is the single easiest focal length to design for a 35mm camera and it's a very nice even, basic number so that probably explains that. For 35 and 85 they probably just picked a nice div 5 number close to focal lengths that seemed to be both quite useful for certain purposes and far enough away from 50mm. Why 24mm became much more the standard than 25mm I have no idea though.
 
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I cannot say for sure but my guess is when the first lenses were being made in the 1800s for medium and large format cameras the photographer scientists manufactured lenses with whatever focal lengths their state of the art technology allowed them to be made. Then those focal lengths became standardized because others also made similar lenses. Each of these focal lengths gave rise to a particular angle of view. Then probably when the 35 mm camera came the lens makers tried to emulate those angle of views and some particular focal lengths became manufactured repeatedly and became popular and then standardized. But all these are my guesses.
 
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Like apertures, common focal lengths tend to follow multiples of the square root of two.

So, 24 (close to 25), 35, 50, 70 (OK, that's not a good example as 85 is used instead), 100, 135 (close to 141), 200, 300 (close to 283), 400 etc.

TC's follow this pattern too.

I guess it all centres around the 'normal' 50mm lens, even though 43mm is a better fit for a 35mm frame.

As for the actual focal lengths and apertures of lenses, remember the specs quoted are usually a near fit for the actual real life specs of the lens (as is often revealed in the patents), so they tend to get rounded to the nearest fit.
 
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I've heard, in part, that the 45-55 range is approximately equal to the field of view of the human eye and so that formed the basis for the 'normal' lens being about 50mm, and wideangle at ~35mm is because, depending on the exact camera, that's only slightly shorter than most flange depths, and so only needs a mild or non- retrofocus design. Also apparently somewhat by convention, https://en.wikipedia.org/wiki/Wide-angle_lens#Wide-angle_lenses_for_35_mm_format.
 
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Drizzt321 said:
I've heard, in part, that the 45-55 range is approximately equal to the field of view of the human eye and so that formed the basis for the 'normal' lens being about 50mm, and wideangle at ~35mm is because, depending on the exact camera, that's only slightly shorter than most flange depths, and so only needs a mild or non- retrofocus design. Also apparently somewhat by convention, https://en.wikipedia.org/wiki/Wide-angle_lens#Wide-angle_lenses_for_35_mm_format.

According to the prosecuting attorney during the George Zimmerman trial, the human eye sees at 49.6mm. Yes, I actually learned something useful during the trial :)
 
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"Normal" focal length for 35mm film is 43mm, which got rounded up to 50 by Oskar Barnack. The idea behind the progression of primes is this:

A 75mm lens will give you roughly the same framing from top to bottom when used in portrait orientation as a 50mm would when used in landscape. Put another way, if you took a photo take at 50mm in landscape orientation and cropped away the left 1/3 and right 1/3 of the frame, you'd get roughly the same image as if you used a 75mm lens in portrait orientation. Kind of awkward to describe so I hope that makes sense.

So, it's not completely arbitrary. All primes are multiples of 43mm or 50mm (1.4x, roughly the square root of 2, much like f-stops). "Normal" focal lengths for larger formats are also familiar numbers: 85mm (medium format), 200mm (large format) etc.
 
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In my opinion, if you have a field of view of 46°, you should contact an ophthalmologist!
The field of view of a 50mm lens, on a 35mm sensor, is similar to the "field of focus" of the human eye and it has a similar perspective rendition, but its field of view is much narrower.

An interesting article that doesn't answer the main question of this topic, but gives some information for an educated guess:
http://www.lensrentals.com/blog/2011/08/lens-geneology-part-1
 
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I think some of it has to do with the evolution of lenses and cameras.

Remember that using 35mm movie film started with rangefinders. 50mm does match the human eye in some respects. I have always read that 35mm became the standard wide angle because it gave a wider field of vision without much distortion. 85mm became the standard portrait lens because it was more flattering. I suspect that for many years those were the standards because on a rangefinder a much wider or longer lens was difficult to manage.

Probably just carried over to the SLRs.

Doing a quick search, it looks like Leica introduced the 35mm in 1930; the 73mm, 90mm and 135mm in 1931 and the 105 mm in 1932.

Back in the 70s I know from personal experience that 28mm, not 24, was considered the standard wide angle lens when you needed something wider than 35 mm and 135mm was the standard telephoto lens. I suspect that as lens technology improved lenses got wider and longer.

As to why it is, say 135mm rather than 125mm or 140mm, I have no idea. Obviously, from the above, the standards were a bit more variable back in the early days of Leica.
 
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Looking at my last photoshoot, those focal lengths are the most used. Using primarily the 24-70 and to a lesser extent the 24-105:

Total: 396
24: 116
35: 29
40: 16
50: 13
85: 20

This is consistent with all of my folders. So to answer your questions, it seems that we just naturally gravitate towards certain focal lengths; even with a zoom, we tend to choose prime focal lengths more so than we choose non prime.

I always find it interesting to look at the focal lengths of my photoshoots, I find it amazing just how often they do gravitate towards primal focal lengths. But then again, there are lies, damned lies, and statistics!
 
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gferdinandsen said:
it seems that we just naturally gravitate towards certain focal lengths; even with a zoom, we tend to choose prime focal lengths more so than we choose non prime.

I always find it interesting to look at the focal lengths of my photoshoots, I find it amazing just how often they do gravitate towards primal focal lengths. But then again, there are lies, damned lies, and statistics!

That does seem uncanny that a disproportion of your shots landed on "standard" lengths. While you were shooting, were you aware of the focal lengths you were using?

I'm completely skeptical that 50mm is any more inherent or "gravitational" than, say 45mm, 55mm, or any other focal length that is near a standard prime focal length.

Going one step further, I would guess that most people couldn't land on a specific focal length IF THEY TRIED TO. I'm guessing the margin of error would be around +/- 5mm for those who tried.

Few would debate that there are certain focal lengths that work well for certain types of shots. But my original question was really about why the standard focal lengths are PRECISELY 24/35/50/85mm, and not +/- 5mm off of those lengths.
 
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dirtcastle said:
gferdinandsen said:
it seems that we just naturally gravitate towards certain focal lengths; even with a zoom, we tend to choose prime focal lengths more so than we choose non prime.

I always find it interesting to look at the focal lengths of my photoshoots, I find it amazing just how often they do gravitate towards primal focal lengths. But then again, there are lies, damned lies, and statistics!

That does seem uncanny that a disproportion of your shots landed on "standard" lengths. While you were shooting, were you aware of the focal lengths you were using?

I'm completely skeptical that 50mm is any more inherent or "gravitational" than, say 45mm, 55mm, or any other focal length that is near a standard prime focal length.

Going one step further, I would guess that most people couldn't land on a specific focal length IF THEY TRIED TO. I'm guessing the margin of error would be around +/- 5mm for those who tried.

Few would debate that there are certain focal lengths that work well for certain types of shots. But my original question was really about why the standard focal lengths are PRECISELY 24/35/50/85mm, and not +/- 5mm off of those lengths.

I find the same holds true to all my trips, with 24mm being my favourite focal length. It's even more uncanny if I include prime focal length +/- 2mm.

And no, I don't choose focal lengths based on focal length. I just compose the photo and shoot.
 
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Classic film before 35mm was 72mm but 35mm (which is actually 36mm) rapidly became the dominant film standard. If you use Pythagoras theorem, you will note that the square root of the hypotenuse (the diagonal on the film) equals the square root of the sum of the square of the two other sides of the triangle (24mm and 36mm)For 35mm format film that gives approximately 43mm. That is the perfect match for what the human eye sees. That got rounded up to 50mm for most purposes. I rather suspect you will find similar relationships with other standard film sizes, although I have never done the maths.

Richard
 
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