From your last answer, I am a little dumfounded as to what it is you are asking: or if you just wish to argue points using empirical mathematics to disprove a “Rule of Thumb”. A Rule of Thumb is “a guideline”.
But I shall address your last post individually: and then perhaps I shall leave it at that.
The word “Print” is a metaphor.
Use the Screen if you wish, but ensure the resolution of the screen is adequate.
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The image size is important and so is the viewing distance – if you do not understand these points then you will fail to grasp this is all about what we “see” the “perception of blur or movement” – if you look at a 24” x 20” at 3” Viewing Distance you will see a lot more mess than viewing the same picture in a 5 x 3½ at 6ft viewing distance – the postcard size print will look very sharp by comparison.
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Yes, there are a lot of post production changes we can make, but we are not discussing that.
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Incorrect.
Pictures have been cropped in printing or cut after printing, to various sizes, since the birth of Photography.
Certainly in the 1950's to 1970's we cropped and enlarged in printing, all the time, it was commonplace: the printing labs had cardboard cropping matts onto which the negs were stuck.
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Yes, but we are not discussing that.
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There are a couple of points here.
Firstly: when faced with a slow Tv (Shutter Speed) and hand holding the technique of shooting a burst of three – I do use.
Invariably I will find that the middle shot is the sharpest, the middle shot is usually the one with the least camera shake – not necessarily the one which eliminates camera shake, however.
The second point is: you have misinterpreted my answer and assumed and then applied it as my workflow – of course I do not select the best images by printing all of them – as already clarified the word “print” was used as a metaphor.
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NO. I did NOT do what you suggest.
I did not compare prints to establish how optics work.
If you re read my previous you will not that I established the perceived blur we will see, is predicated on the viewing of a “standard print” at a “standard viewing distance” and takes into consideration of the resolving power of the human eye (and thus also the Circle of Confusion for any given camera format).
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No it does not.
Firstly, as you pointed out previously, there is a difference – even by your pixel example.
And secondly, there is a difference in the spread of that blur, when the two images (the complete “Full Frame Crop” images) are viewed at the SAME Viewing Distance.
And thirdly, the Shutter Speed makes the counter difference – and that is why we need to apply the SPEED of the 1° camera movement – and not just how far the camera moves – but how far the camera moves over TIME.
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I shall re-summarise:
This “Rule of Thumb” is only a STARTING POINT as a GUIDELINE to SUGGEST what shutter speed to use.
It suggests that with your 135 format camera you need to use 1/50s when using a 50mm lens and with the APS-C camera you need to use 1/80s with the same lens – there is NOT much difference in those two shutter speeds.
The “rule” guarantees nothing.
The rule is predicted on: Optics; The ability of the Human Eye’s resolving power; The average SPEED of the average person’s ability to NOT hold a camera steady; The CoC of the format; and assumes the fact that if we compare always, the Full Frame Images from any camera and look at those images at the same viewing distance.
And that is what this Rule of Thumb is all about – it is merely a Guideline suggesting a shutter speed to arrest perceivable movement when looking at like prints (or computer images) and again I stress that this is 1/Focal length Rule is a “Rule of Thumb” as a guide for taking pictures and was developed around the 135 CAMERA FORMAT, but it can be adapted to other formats.
And - since the advent of Digital and the popularity of APS-C cameras this Guideline has been adapted to APS-C cameras:
And the rule gives this guideline . . . if we hand hold a 200mm lens on a 30D, it is a good idea to use about 1/320s but if I put the same 200mm lens on a 5DmkII I could use 1/200s, as the slowest shutter speed to arrest camera shake . . .
But that does not mean if we use 1/320s or 1/200s there will be not any shake – there are many, many other factors, including how much coffee I had and how tired I am . . .
It is just a guideline.
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In conclusion if you are happy with using whatever shutter speed, when you are hand holding either of your cameras, and applying techniques, like shooting a spread; or using Post Production Sharpening Tools in order to get sharp looking images - that is fine.
BUT: The OP’s question was about clarifying a guide as to a starting point for a shutter speed to make sharp photographs, that’s all.
I understood your question to be about what guideline to use as a starting point for a shutter speed when hand holding an APS-C camera.
I believe I have given you that guideline and also the historic background; the basic empirical mathematics upon which the original 1/Focal Length Rule of Thumb was predicated.
If you wish to argue; accept what I have written or not - that’s fine too.
At the moment, it is neither possible nor reasonable for me to explain these three matters any more clearly, than I have.
May your light be with you, too.
WW